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Journal of Physics: Condensed Matter
1
TOPICAL REVIEW
Growth morphology of thin films on the metallic and oxide
surfaces
Aleksander Krupski
Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom.
E-mail: [email protected]
Abstract
In this work we briefly review recent investigations concerning growth morphology of thin metallic
films on the Mo(110) and the Ni3Al(111) surfaces, and Fe and Copper Phthalocyanine (C32H16N8Cu)
on the Al2O3/Ni3Al(111) surface. Comparison of Ag, Au, Sn, and Pb growth on the Mo(110) surface
has shown a number of similarities between these adsorption systems except surface alloy formation
that has only observed in the case of Sn and Au. In the Pb/Mo(110) and Pb/Ni3Al(111) adsorption
systems selective formation of uniform Pb island heights during metal thin film growth has been
observed and interpreted in terms of quantum size effects. Furthermore, our studies showed that Al2O3
on Ni3Al(111) exhibits a large superstructure in which the unit cell has a commensurate relation to the
substrate lattice. In addition, Copper Phthalocyanine chemisorbed weakly onto an ultrathin Al2O3 film
on Ni3Al(111) and showed a poor template effect of the Al2O3/Ni3Al(111) system. In the case of iron
cluster growth on Al2O3/Ni3Al(111) the nucleation sites were independent of deposition temperature,
yet cluster shape showed a dependence. In this system, Fe clusters formed a regular hexagonal lattice
on the Al2O3/Ni3Al(111).
PACS:
68.55.-a, 68.55.J-, 68.37.Ef, 68.47.De, 68.47.Gh, 68.47.Jn, 68.43.Bc, 68.43.Fg, 68.43.Mn, 71.20.-b,
68.60.Dv, 68.35.B-, 68.35.bd, 71.15.-m, 61.05.jh
Keywords:
Aluminum; Nickel; Aluminum oxide; Iron; Copper Phthalocyanine; Molybdenum; Lead; Silver; Gold;
Tin; STM; STS; LEED; SPA-LEED; AES; Ab initio; Density functional theory; Calculations; Growth;
Thin film growth; Cluster growth and nucleation; Metal–metal interfaces; Electron–solid interactions;
Low index single crystal surface; Surface alloys.
Journal of Physics: Condensed Matter
2
Contents
1. Introduction 2
2. Thin metal films on the Mo(110) and
Ni3Al(111) surfaces 4
2.1. Mo(110) 4
2.2. Ni3Al(111) 4
2.3. Ag/Mo(110) 7
2.4. Au/Mo(110) 10
2.5. Sn/Mo(110) 11
2.6. Pb/Mo(110) 13
2.7. Pb/Ni3Al(111) 16
3. Molecules and metal growth on the
Al2O3/Ni3Al(111) 19
3.1. Al2O3/Ni3Al(111) 19
3.2. C32H16N8Cu/Al2O3/Ni3Al(111) 21
3.3. Fe clusters on Al2O3/Ni3Al(111) 24
4. Conclusions 26
Acknowledgements 27
References 27
1. Introduction
Ultra-thin epitaxial film systems exhibit a variety
of interesting properties owing to the strong
correlation between the electronic structure of the
film and its morphology, strain, and defect
structure [1-2]. Knowledge of the interface
structure between face-centered cubic fcc thin
metal films and body-centered cubic bcc metals
is important in understanding the initial growth of
these adsorption systems. Structural studies of
fcc/bcc systems provide a great deal of
information on the connection between
geometrical properties of the adsorbed atomic
layers and atomic arrangements of the substrates.
Until now, the surface structures and growth
modes of various adsorbate metals (e.g. Cu [3],
Co [4], Fe [5], Ni [6], Mg [7], Ba [8], K [9], S
[10], In [11], Ag [12-17], Au [18-19], Sn [20-21],
Pb [22–25], etc.) on the Mo(110) substrates have
been investigated by a variety of experimental
and theoretical methods in a number of works.
Recently, the formation of oxide layers on
transition metal (TM) surfaces has also received
considerable attention [26-29] including Mo(110)
surface [30-31]. In addition, Pb layers also been
of interest in recent years because the islands
formed during growth are of a special uniform
height (often referred to as a ‘magic’ or a
‘wedding cake’ island) with flat tops and sharp
step edges. This phenomenon has been observed
during metal thin-film growth in a number of
material systems such as Pb/Mo(110) [22],
Pb/Ni3Al(111) [32-33], Pb/Ni(111) [34-38],
Pb/Cu(111) [39-42], Pb/Si(111) [41,43-55],
In/Si(111)-Pb-α-3×3 [56], Ag/Fe(001) [57],
Ag/GaAs(110) [58], Ag/Si(111)-7×7 [59] and has
been interpreted in terms of quantum size effects
(QSE) [60-64]. Quantum size effects were
initially observed experimentally by Jaklevic et
al. [65-67] for metals during measurements of
tunnelling currents in metal-metal and oxide-
metal junctions and later by Jonker et al. [68-70]
in low-energy electron transmission experiments.
Since then, QSE-related oscillations have been
found in other transport property measurements
of thin films (e.g. superconducting films, the Hall
coefficient, and the electric resistivity), all of
which depend on the density of states at the
Fermi energy. QSE studies indicate that, in the
equilibrium distribution of island heights, some
heights appear much more frequently than others.
‘Magic’ preferred heights correspond to islands
with a quantum well state far from the Fermi
energy, while ‘forbidden’ heights appear to be
those that have a quantum well state close to the
Fermi level. When these uniform height islands
are observed the growth conditions for
temperature and flux are different for each
substrate type suggesting that kinetic factors play
a role. ’-Ni3Al is of great interest for its
attractive applications in the power and aerospace
industries as a high-temperature structural
material. In a bulk or thin-film state this
compound exhibits unique physical and
mechanical properties such as a high melting
point, high hardness, high yield strength, low
density and good oxidation and corrosion
resistance [71-77]. Nickel aluminate surfaces,
including the Ni3Al(111) and Ni3Al(001)
surfaces, have been investigated experimentally
[78-82] and theoretically [81-91], and are often
used as a substrate in studies of a variety of
different surface phenomena such as oxidation
(e.g. Al2O3/Ni3Al(111) [92], Al2O3/NiAl(110)
[93-94]) and the formation of more complex
systems like CuPc/Al2O3/Ni3Al(111) [95] or
Fe/Al2O3/Ni3Al(111) [96]. Ni3Al can be seen as a
model system for use as a template for a well-
ordered Al2O3 surface [92], which is suitable for
studies with several surface sensitive
investigation methods requiring electric
conductivity. Aside from the usage as a support
Journal of Physics: Condensed Matter
3
material for heterogeneous catalysts [97], Al2O3
is also of increasing relevance as an insulator for
semiconductor devices because of its superior
dielectric properties compared to the classical
insulator SiO2 [98].
The investigation of organic thin films grown on
semiconducting surfaces has already been of
interest for many years. The high thermal
stability and electronic properties of
phthalocyanine (Pc) compounds and their metal
complexes (e.g. CuPc) are very interesting
candidates for the development of new technical
applications in various fields; examples include
highly specific gas sensors [99-101], organic
light emitting diodes [102], organic field effect
transistors [103-104] and photovoltaic cells
[105]. The main focus of our work with the
CuPc/Al2O3/Ni3Al(111) system [95] was to
determine whether the well-established template
effect of the Al2O3/Ni3Al(111) system for metal
cluster growth [106-107] could also be exploited
for an ordered arrangement of organic molecules.
This ordering is extremely important for the
development of novel technologies. Since the
first scanning tunneling microscopy (STM)
investigations of CuPc on a polycrystalline Ag
film by Gimzewski et al. [108] many different
substrates have been considered for the growth of
ordered CuPc films. In the initial work it was not
possible to reach submolecular resolution and no
surface induced orientation of the molecules were
achieved by Lippel et al. on Cu(100) [109].
However, the formation of an ordered CuPc
monolayer was found later on other metal
surfaces like Ag(111) [110] and Au(111) [111].
Some semiconducting substrates like graphite
and MoS2 also were observed to exhibit an
ordered planar growth of the molecules [112].
The first STM and scanning tunneling
spectroscopy (STS) investigations of CuPc on an
ultrathin alumina film on Ni3Al(110) by Ho and
co-workers [113] did not show a significant
template effect of the substrate but the authors
could distinguish between two different kinds of
adsorbate configurations with D4h- and D2h-
symmetry, respectively. Finally, it is necessary to
understand metal-oxide interfaces for progression
of many technologies including metal-ceramic
sensors, microelectronics, spintronic devices and
oxide supported transition metal catalysts [114-
119]. In our work concerning
Fe/Al2O3/Ni3Al(111) [96] we focus on the
creation of small oxide supported iron clusters
serving as a model system to investigate the
catalytic and magnetic properties of nanosized
metallic particles on an insulating substrate. The
catalytic properties of Fe clusters on oxides are of
particular interest with regard to nitrogen
fixation, being of vital importance in biological
systems and of the highest relevance in
technological processes [120]. Biological
nitrogen fixation was the subject of numerous
experimental as well as theoretical studies aimed
at creating a detailed picture of the catalytic
activity of an enzyme and of the reaction
pathway [121-123]. A recent publication
investigating small Fe clusters on MgO(100)
attributes to this model system catalytic
properties that are similar to the active sites in the
biological enzyme nitrogenase [124]. The effects
of the reduced particle size and the insulating
substrate are not only crucial for catalytic activity
but are expected to introduce new physical
properties. The magnetic properties of the small
iron particles supported by oxide systems are of
particular interest with respect to the
development of high-density magnetic data
recording devices [125-126]. Density functional
calculations revealed that small Fen clusters
(n ≤ 8) deposited on an inert substrate have
magnetic moments largely exceeding the Fe bulk
value [127], which is consistent with the same
observation for metal clusters in the gas phase
[128].
In this article we review our recent investigations
concerning growth morphology of thin metallic
films (Ag, Au, Sn) on Mo(110), Pb on Mo(110)
and Ni3Al(111) surfaces and Fe, Copper
Phthalocyanine (C32H16N8Cu) on
Al2O3/Ni3Al(111). Our studies were performed
with the use of well know and widely described
experimental methods such as: STM/STS [129-
136], low-energy electron diffraction (LEED)
[137] including spot profile analysis low-energy
electron diffraction (SPA-LEED) [138-139],
Auger electron spectroscopy (AES) [140] and
theoretical calculations based on the density
functional theory (DFT) [141] and plane-wave
basis set, as implemented in the Vienna Ab initio
Simulation Package (VASP) [142-145].
Presented STM data were processed by freeware
image-processing software [146].
The rest of this article is divided into the
following sections. Section 2 will give important
information on thin metal films on Mo(110) and
Ni3Al(111) surfaces. Section 3 molecules and
metal growth on the Al2O3/Ni3Al(111) are
discussed. The conclusion will consist of a brief
summary of the previous sections.
Journal of Physics: Condensed Matter
4
2. Thin metal films on the Mo(110) and
Ni3Al(111) surfaces
2.1. Mo(110)
Mo has a body-centred cubic (bcc) crystal
structure with the space group 𝐼𝑚3̅𝑚 with lattice
parameter a = 3.15 Å [147-148], see Fig.1(a).
The structural model for the clean Mo(110)
surface and the corresponding LEED pattern are
shown in Fig. 1(b) and Fig. 1(c), respectively.
Fig.1(d) displays an STM image that was taken
on a low-index Mo(110) substrate with terraces
between 100 and 400 Å wide separated by
monoatomic steps aligned along the ]111[
direction. The height of the steps on the Mo(110)
surface was measured by STM to be 2.3 ± 0.2 Å.
Theoretical studies of the Mo(110) surface [23]
performed with the use of ab initio calculations
based on the density functional theory and plane-
wave basis set, as implemented in the VASP
package indicate that the relaxation process of the
Mo(110) surface system is limited solely to its
topmost part. The first interlayer distance d1,2 was
calculated to be reduced by 5% (i.e., somewhat
above 0.1 Å) while the subsequent distance d2,3
increased by 0.5–0.9 % (0.01–0.03 Å). Following
this, the changes in the third interlayer distance
d3,4 was seen already as negligibly small. These
results were in good agreement with earlier
theoretical studies [149–152] as well as LEED
measurements [153]. The results presented in
[23] showed that the increase in the slab
thickness above seven layers did not considerably
change the atomic structure of the surface. Local
density-of-states (LDOS) distributions that were
calculated for the three topmost atomic layers of
Mo(110) indicate that electronic states in the
energy region around the Fermi level were
distinctly localized at the surface atomic layer
while at lower energies their localization was
shifted toward subsurface layers. LDOS
calculations performed for the topmost atomic
layer shows that the surface electronic structure
of Mo(110) is dominated by d states within the
whole energy range that was investigated [23].
2.2. Ni3Al(111)
Ni3Al has an A3B-L12- or Cu3Au-type structure
with space group 𝑃𝑚3̅𝑚, and the equilibrium
lattice parameter a = 3.57 Å [154-155], see
Fig.2(a). The structural model for the clean
Ni3Al(111) surface and corresponding LEED
Figure 1. (a) Schematic view of the bulk unit cell of Mo. The (110) plane is marked. (b) Top view of Mo(110)
surface. (c) LEED pattern of the clean Mo(110) surface recorded for E = 300 eV at T = 300 K, and normal
electron incidence. The (11) unit cell of the substrate is drawn in yellow. (d) STM image of the clean Mo(110)
at T = 300 K (1000 Å × 1000Å, IT = 0.8 nA, Ubias = 100 mV). The line scan shown in the inset evidences
terraces approximately between 100 and 400 Å wide. (d) is taken from [23]. Copyright (2009) by The
American Physical Society.
Journal of Physics: Condensed Matter
5
pattern are shown in Fig. 2(b) and Fig. 2(c),
respectively. The face-centred cubic (fcc) (111)
surface of this perfectly ordered alloy, shown in
Fig.2(b), has exactly the same stoichiometric
composition as the bulk. Each aluminium atom is
embedded in the nickel matrix. This results in a
2×2 aluminium arrangement in the surface layer.
The lattice constant of the surface unit cell is 5.04
Å (double the parameter of the primitive fcc
(111) unit cell). Fig. 2(d) shows an atomically
resolved STM image of the clean (111) surface of
Ni3Al. The image shows hexagonal arrangements
with a lattice constant of about 5.074 Å. This
distance corresponds well with the (2×2)
superstructure of the surface unit cell due to the
ordered distribution of Al and Ni atoms [154].
The nearest Ni-Ni distance at the surface is 2.54
Å and cannot be seen in STM images.
Nevertheless, as it was shown in work of L.
Jurczyszyn et al. [156], this fact is not
condradictory to the bulk-like stoichiometric
composition of the surface layer. However,
instead of a long-range periodicity, the STM
image showed relatively small domains with a
highly visible (2×2) order, see Fig.2(d). Our
study indicates that such a short-range order of
the surface structure is an intristic property of the
Ni3Al(111) system. The bias voltage in this
experiment was +50mV, and it is important to
stress that the experimental setup requires this
voltage to be applied to the sample. This means
that at the given voltage tunnelling occurs from
the tip into unoccupied states of the sample. It
followed from our experimental and theoretical
studies [81] that the topographies of Ni3Al(111)
STM images were strongly influenced by intra-
atomic s-pz interference. This kind of interference
increased the efficiency of electron tunneling
through s and pz orbitals of surface Al atoms,
while reducing considerably the corresponding
current contributions flowing through the surface
Ni atoms. Earlier studies [156] indicated that this
Figure 2. (a) Schematic view of the bulk unit cell of L12-ordered Ni3Al. The (111) and (001) planes are
outlined. (b) Top view of Ni3Al(111) surface. (c) LEED pattern of the clean p(2×2)-Ni3Al(111) surface
recorded for E = 136 eV at T = 200 K, and normal electron incidence. (d) STM image of the clean p(2×2)-
Ni3Al(111) at T = 23 K (75 Å × 75 Å, IT = 260 pA, Ubias = 50 mV). Tunneling spectra measured at the points
indicated on the STM image. Curves 1–5 were acquired after the feedback loop was opened at 85 mV at a
tunneling current of 120 pA. (e) STM image of the Al2O3/Ni3Al(111) at T = 23 K (71 Å × 71 Å, IT = 72 pA,
Ubias = 3.21 V). Tunneling spectra measured at the points indicated on the STM image. Curves 1–5 were
acquired after the feedback loop was opened at 190 mV at a tunneling current of 72 pA. The corresponding
modulation frequency was 5 kHz with an amplitude of 20 mV. Solid red line shows the DOS calculated for the
Ni3Al(111) surface. The (11) and (22) unit cells are drawn in blue and red, respectively. (c) is adapted from
[32]. Copyright (2013) by Elsevier. (d) and (e) are taken from [81]. Copyright (2009) by The American
Physical Society.
Journal of Physics: Condensed Matter
6
factor might have been responsible for the
domination of surface Al atoms in STM images.
In particular, it was found that even for an
unrelaxed surface structure, where surface Al and
Ni atoms have the same vertical positions (as it
takes place in the bulk), the topography of the
calculated STM image was dominated by Al
atoms. More specifically, the surface Al atoms
appeared in the simulated STM images of the
(2×2) superstructure with the same shape and
size as they appeared in experimental STM data,
while the surface Ni atoms were completely
invisible. In the experimentally measured relaxed
Ni3Al(111) surface structure, the domination of
Al atoms in STM images was additionally
supported by the differences in vertical positions
of Al and Ni atoms [81]. Fig.2(e) shows the STS
spectra obtained for five different horizontal
positions of the tip, marked by arrows in Fig.2(d).
This set of spectra indicate that, except for the
maximum located at the Fermi level, the energies
of the rest of STS features dominating in the
considered energy range somewhat depend on the
position of the STM tip. Apart from the
experimental data, Fig.2(e) also presents the
LDOS distribution at the surface layer obtained
from our present ab initio calculations (solid red
line). It should be pointed out here that in the
standard STS measurements, the obtained spectra
mainly reflected the energy distributions of s and
p states of the substrate surface, as d states are
not very active during the tunneling process.
Therefore, for the comparison with experimental
results, the LDOS distribution plotted in Fig.2(d)
takes into account only the contributions
connected with s and p states of the surface
atoms. This theoretical result represents the
averaged LDOS distribution over three Ni atoms
and one Al atom from the (2×2) surface unit cell.
Below the Fermi level, the theoretical distribution
indicates the presence of LDOS features located
0.4 eV and 0.6 eV below EF. The lower one (at
−0.6 eV) corresponds well with a distinct STS
peak that appears around −0.6 eV in each
experimental curve. However, the higher
theoretical feature (at −0.4 eV) can only be linked
with a relatively weak shoulder, which can be
seen in STS spectra 1, 2, and 4 around −0.4 eV.
Dependencies presented in Fig.2(d) also indicate
that theoretical results reproduce the measured
STS features in the vicinity of the Fermi level
well. For unoccupied states, the calculated LDOS
distribution shows a distinct feature located
around 0.35 eV. Such a feature can be seen in
STS spectra 2 and 5, though in spectrum 2 it is
somewhat shifted toward higher energies. Much
weaker maxima within this energy range can also
be observed in curves 1 and 3. However, as
mentioned earlier, the experimental studies of
Ni3Al(111) indicated a lack of the long-range
order along this surface (see Figs.2(d)) while the
theoretical study was performed assuming ideal
translation symmetry. This fact needs to be taken
into account when comparing STS spectra and
LDOS distributions presented in Fig.2(e).
Previous STM/STS study [157] showed that for
the Al2O3/Ni3Al(111) system, the ordering of the
substrate underneath the oxide film was much
higher than for the clean Ni3Al(111) surface.
Properties of the Al2O3/Ni3Al(111) system are
described in more detail in section 4.1 of this
review. The STS data indicated the presence of a
large oxide band gap [118, 157-158] that allowed
STM/STS measurements of the Ni3Al(111)
substrate surface through the oxide film. Fig. 2(e)
shows an STM image of Al2O3/Ni3Al(111)
collected with a bias of 3.2 V, i.e., when the
topography of the image was dominated by the
parameters of the Al2O3 structure. However, the
set of STS spectra presented in Fig.2(e) was
Figure 3. (a) STM image of the clean Ni3Al(001) at T = 4 K (100 Å × 100 Å, IT = 5 nA, Ubias = 85 mV). The FFT
shown in the inset evidences a square lattice arrangement of protrusions (Al atoms) with the nearest neighbor
distance of 3.7 Å. (b) Top view of Ni3Al(001) surface. (c) LEED pattern of the clean Ni3Al(001) surface recorded
for E = 120 eV, and normal electron incidence. The unit cells are outlined. (a) and (c) are adapted from [82].
Copyright (2008) by Elsevier.
Journal of Physics: Condensed Matter
7
obtained for the bias range −1.5 to 1.5 V, which
corresponds to the energy gap of the oxide. Since
for such voltages the Al2O3 film appeared
invisible in STM/STS measurements [81], a
reduction of the tip sample separation enabled us
to interrogate the electronic structure of the
Ni3Al(111) substrate. Fig.2(e) shows a set of STS
spectra measured at five different horizontal
positions of the STM tip, marked by arrows in
Fig.2(e). This sequence of dependencies shows
that, contrary to the case of a clean Ni3Al(111),
see Fig. 2(d), the STS spectra had very little
dependence on the horizontal position of the tip.
We may say that for energies within the oxide
band gap, the presence of the oxide film does not
modify the surface electronic structure of the
substrate much, as compared to the
corresponding results for a clean Ni3Al(111)
surface. In contrast to the Ni3Al(111) surface, the
Ni3Al(001) surface [82] clearly exhibits a long-
range character, see Fig.3(a). The structural
model of the clean Ni3Al(001) surface and
corresponding LEED pattern are presented in Fig.
3(b) and Fig. 2(c), respectively. Topographies
from the obtained STM images indicate a surface
superstructure with a square lattice unit and a
lattice constant equal to (= 3.7 Å) the distance
between the nearest neighbour surface atoms of
the same type (i.e., nearest Al or nearest Ni
atoms). It indicates that the STM image is formed
by one type of surface atom only, while the
atoms of the second type remain invisible. It was
shown in [143] that the STM process at the
Ni3Al(001) surface is strongly influenced by the
intra-atomic s-pz interface. This kind of
interference reduces the s and pz current
contributions flowing through Ni surface atoms
and increases considerably the s-pz contributions
connected with surface Al atoms. A detailed
analysis has shown that this factor leads to Al
atoms being the dominant species in simulated
STM images of the Ni3Al(001) surface [82,156].
2.3. Ag/Mo(110)
It is well know that plotting AES peak heights of
the substrate and of the adsorbate as a function of
deposition time (AES(t) plots) enables the
determination of the growth mechanism as well
as monolayer formation [33, 160-164]. In our
studies at room temperature, only one linear
region in the AES(t) plots for 186 eV
molybdenum and 351 eV silver peaks could be
distinguished, see Fig. 4(a). It could be deduced
from this region in the AES(t) plots that two-
dimensional growth of the first silver layer is
observed. Subsequently, the non-linear shape of
the AES(t) plots suggested the occurrence of
three-dimensional (3D) growth. If A
S = hS1/ hS0
defines the coefficient of attenuation of the
substrate Auger peak due to the presence of a
monolayer of adsorbate, then the expected height
of the substrate Auger peak for layer-by-layer
growth after completion of the n = 2nd, 3rd, 4th, ...
layer is given by the equation hSn = hS0 (A
S )n
[33]. Curve (1) in Fig. 1 was calculated for FM
growth using the formula described above, under
the assumption that at the (hS1; t1) = (0.555; 198)
point the first silver layer was completed. It can
be seen from a comparison of our calculated and
experimental AES(t) plots that two-dimensional
growth of the second silver layer should have
also been observed. However, one cannot
recognize any distinct breaking points by eye
after deposition times t2, t3 or t4 on the
experimentally found AES(t) plot. Fitting an
exponential to the data provided a closer
agreement. Such a shape of an AES(t) plot
suggests the Stranski-Krastanov growth mode
(3D). Because the scatter of hS1 and t1 values for
these AES(t) plots were not large, we will further
assume that the initial linear part of the curve
corresponds to the formation of the first layer (θ
= 1 ML) of silver, where a 1 ML of Ag(111) film
corresponds to an atomic packing density of
13.801014 atoms/cm2. Owing to the method used
for the recording of AES data, the dependencies
of AES signals for both substrate and adsorbate
on adsorbate deposition time were represented by
as many as 20 to 30 experimental data points for
each monolayer of adsorbate. Thus, profiles of
AES kinetics could be determined more precisely
than for the kinetics presented in [13] where one
monolayer was represented by only 14 points and
only by adsorbate AES kinetics. In addition, in
our measurements, adsorbate deposition was not
interrupted for the recording of Auger peaks.
Thus, our AES kinetics analysis was for
continuous growth of the deposited layer. Fig.
4(b)-(d) shows STM images of the Mo(110)
surface taken with different Ag coverages in
order to illustrate the development of
morphology of the Ag layers deposited on Mo at
room temperature. Fig. 4(b) shows a typical STM
image corresponding to a submonolayer coverage
of θ = 0.2 ML. The bright features represent one
monolayer high silver islands. The observed Ag
islands on the substrate had regular shapes, sharp
edges, and smooth tops. At this point, an analysis
Journal of Physics: Condensed Matter
8
of the STM measurements indicated that, for
coverage less than 1 ML, the growth of Ag was
mediated by a two dimensional step-flow
mechanism. This means that, during the initial
stage of growth, the first Ag film nucleates and
creates islands at Mo step edges. That is, the
growth proceeds by incorporation of Ag adatoms
at ascending step edges and the film advances
across the atomic terraces along the mis-cut
direction. The estimated average size of the
islands is about 180 20 nm2. Fig. 4(c) shows an
STM image corresponding to monolayer
coverage θ = 1.0 ML, as deduced from the
AES(t) plot in Fig. 4(a). However, the first two-
dimensional silver layer was not complete as was
expected from the AES(t) plots. At this coverage,
the two-dimensional step-flow mechanism was
continued. The silver islands of the first layer
were then larger than in the submonolayer
regime. In addition, between these silver islands,
additional small Ag islands without flat tops
appeared. Also, the second silver layer started to
grow before completion of the first silver layer,
Fig. 4(c). In this image the first and second layer
is marked by numbers I and II, respectively.
Arrows in this image point to Ag islands which
extended over two terraces of the substrate, and
their thickness did not change by 1 ML from
terrace to terrace. This island shape type has been
termed a “nano-wedge island” [165]. Closer
inspection of Fig. 4(c) shows that, in the
monolayer coverage range, the decoration of the
substrate steps by Ag could be distinguished by
the presence of a fractional step of p1 = 0.86 ± 0.6
Å height at the Ag-Mo boundary. This fractional
step may have been due to a difference in either
the local density of states (Mo(110) [166-167],
Ag [168]) or the atomic radii of the two metals
(ar, Mo = 1.40 Å, ar,Ag = 1.44 Å). At coverages
greater than θ = 7 ML, see Fig. 4(d), further
formation of three dimensional (3D) islands with
sharp edges and mostly smooth tops was
Figure 4. Ag deposition on Mo(110) face at T = 300 K. (a) AES(t) plot of Mo MNN and Ag MNN peak
heights. (1) AES(t) plot calculated for Frank–van der Merwe growth. STM images at coverages: (b) 0.20
ML (4010 Å × 4010 Å, IT = 2.85 nA, Ubias = 0.1 mV). (c) 1.00 ML (1000 Å × 1000 Å, IT = 6.97 nA, Ubias =
20 mV). Arrows in this image point to Ag islands which extend over two terraces of the substrate, and their
thickness does not change by 1 ML from terrace to terrace. (d) 7 ML (800 Å × 800 Å, IT = 0.2 nA, Ubias =
2.0 V). The arrows indicate the positions where the Mo substrate is still visible. (e) post annealed 1.0 ML
at T = 700 K (5047 Å × 5047 Å, IT = 0.2 nA, Ubias = 2.5 V). (f) Line-scan corresponding to line A drawn in (e)
demonstrating that the Ag nanostripes protrude by 0.39 0.06 Å with respect to a single step of the Mo
terrace. The insets in (d) and (e) present differentiated STM images with enhanced contrast. Adapted from
[12]. Copyright (2010) by Elsevier.
Journal of Physics: Condensed Matter
9
observed. The silver islands probably minimize
their surface free energy by having flat tops. The
arrows in Fig. 4(d) indicate the areas where the
Mo substrate was still visible. These STM results
agreed well with our AES studies and confirmed
a 3D growth mode, a result that contradicted the
literature [13-17] where layer-by-layer growth at
room temperature up to 3 ML was reported. In
addition, the results presented here are in good
agreement with a simulated growth mode [169],
where a 3D growth mode was shown with island
growth commencing from the second Ag layer. A
thermodynamic description of growth is based on
the specific surface free energy of a particular
crystal facet, defined as the reversible work per
unit area required for the creation of the surface
[170]. Different growth modes may be
distinguished according to a balance between
surface free energy of substrate (S) and film (A)
and interface energy (I). Namely, layer-by-layer
or Frank-Van der Merwe (FM) growth is
expected if S ≥ A + I. In hetero-epitaxial
systems, the surface free energy increases with
the number of film layers (n) so that the FM
condition will no longer be valid at a critical film
thickness (n*) at which point three–dimensional
(3D) crystals begin to form (Stranski-Krastanov
(SK) mode). The Volumer-Weber (VW) mode,
where 3D growth begins immediately,
corresponds to n* = 1. The higher surface energy
of the Mo substrate allows the Ag film to grow in
pseudomorphic registry with the substrate. This
was confirmed by Mae [169], using a molecular
dynamics aided kinetic Monte Carlo method.
Table 1 contains set of structural parameters and
surface energies () of Mo, Ni3Al and also Pb,
Ag, Au, Sn with respect to Miller plane
orientation reproduced from [44,147-
148,154,171-180]. When the sample was post-
annealed to 700 K, the morphology of the surface
changed, as shown in Figs. 4(e)–(f). At this
temperature, growth was driven by a pure step-
flow mechanism. Step-flow growth in the
submonolayer and monolayer regime gives rise
to a regular Ag nanostripe network attached to
Mo(110) step edges, Fig. 4(e) for 1.0 ML. The
corrugation profiles (A) in Fig. 4(f) highlight the
protrusion of silver nanostripes equal to p2 =
0.39± 0.06 Å for 1.0 ML with respect to a single
step of a Mo terrace. In addition, the width and
shape of the top of the nanostripes showed a
dependence on coverage. It is suggested that the
variations seen in morphology of Ag films as the
temperature changes from room temperature to
700 K were due to the high sensitivity of the
surface diffusion coefficient of Ag adatoms to
temperature. The mobility of Ag adatoms on
Mo(110) was reduced near room temperature and
at a temperature approaching 700 K the diffusion
mean free path was long enough for adatoms to
reach the step edges. Occurrence of mass
transport over step edges in the present work was
not investigated. The desorption process of silver
atoms from Mo(110) at 700 K did not take place,
as shown by Bauer [13]. The authors used AES
to study the annealing behaviour (up to 1050 K)
of thick Ag films on the Mo(110) face. Here, the
AES results showed two temperature regions in
which the Auger signal changed only slightly
with temperature. The authors concluded [13]
that these two small decreases in the silver AES
signal at 700 and 900 K were due to
agglomeration of silver atoms. In addition, at a
sample temperature of T = 1000 K it was
observed that silver desorption from Mo(110)
began[13]. There is also no evidence in the
literature for alloy formation between Ag and a
Mo(110) substrate. Similar behavior for the
Table 1. Structural parameters and surface energies () of Mo, Ni3Al, Pb, Ag, Au, and Sn with respect to Miller
plane orientation reproduced from [44,147-148,154,171-178].
Journal of Physics: Condensed Matter
10
Fe/Mo(110) adsorption system has been observed
[181]. These authors studied the growth of iron
on a Mo(110) face by STM. The Fe/Mo(110)
system exhibited the formation of large Fe
islands at room temperature. At temperatures
slightly higher than room temperature the growth
proceeded by incorporation of Fe at Mo step
edges.
2.4. Au/Mo(110)
Figure 5 shows STM images of the Mo(110)
surface with varying Au coverage in order to
illustrate the morphology of the Au layers
deposited on Mo at room temperature. Fig. 5(a)
shows a typical STM image corresponding to a
submonolayer coverage of θ 0.4 ML. The
bright features represent gold islands. These were
one monolayer high islands. The Mo substrate
was still visible between the gold islands. An
analysis of the STM measurements indicated that
for coverage less than 1 ML the distribution of
the gold islands was not random on the Mo
terraces. Namely, from Fig. 5(a) it seemed that
the gold islands grew preferentially along the
]100[ and ]111[ directions. The estimated
average diameter of such gold islands was
approxiamtely 12 5 nm. Fig. 5(b) shows an
STM image corresponding to a monolayer
coverage θ 1.0 ML, as deduced from the
preceeding STM images and deposition time. The
first two-dimensional disordered gold layer was
completed in the manner predicted from the
previous AES, LEED, and TDS experimental
[19, 182-183] and theoretical [184] studies. In
addition, it was not possible to identify further
positions of the gold islands in the first layer
because of the observed per-coalescence effect
[185-192] between θ = 0.55-0.65 ML. In Fig.
5(b), arrows indicate where the second two-
dimensional gold layer started to grow after
completion of the first gold layer. Closer
inspection of Fig. 5(b) when the coverage
increased to 1.2 ML showed that the decoration
of substrate steps by one atomic height Au
islands could be distinguished from other
randomly distributed gold islands on the first
disordered gold layer. For a coverage θ 2 ML,
see Fig. 5(d), a second completed but disordered
gold layer was visible, as expected from literature
Figure 5. STM images of Au deposited on Mo(110) face at T = 300 K: (a) = 0.4 ML (2923 Å × 2923 Å, IT =
0.5 nA, Ubias = 1.0 V). (b) 1.0 ML (2480 Å × 2480 Å, IT = 0.5 nA, Ubias = 1.16 V). (c) 1.2 ML (2494 Å ×
2494 Å, IT = 0.5 nA, Ubias = 1.0 V). (d) 2.0 ML (2500 Å × 2500 Å, IT = 0.5 nA, Ubias = 1.16 V). (e) post
annealed 1.0 ML at T = 800 K (5000 Å × 5000 Å, IT = 0.5 nA, Ubias = 1.4 V). (f) post annealed 1.2 ML
at T = 800 K (2410 Å × 2410 Å, IT = 0.5 nA, Ubias = 1.37 V). The insets in (a), (b), (c), (e) and (f) present
differentiated STM images with enhanced contrast. Adapted from [18]. Copyright (2011) by Elsevier.
Journal of Physics: Condensed Matter
11
[182]. The higher surface energy of the Mo
substrate (see Table 1) allowed the Au film to
grow in pseudomorphic registry with the
substrate. This was originally postulated by
Gruza and Gillet [182] using a simulation of a
random adsorption process based on the
following assumptions: (a) every atom impinging
on a free site is adsorbed instantaneously. If the
site is occupied the atom joins either the first
neighbour site or a second layer position, (b)
steric effects can induce displacements of 5%
around an adsorption site, (c) an adsorption site is
inhibited when it is surrounded by at least four
ad-atoms. Based on these assumptions and taking
into account the fact that the distance between
neighbouring sites in the (110) molybdenum
plane (2.73Å) is lower than the atomic diameter
of the gold atom (2.88Å), the distribution of gold
atoms in the saturated first layer show that the
ordered zones are no greater than 20Å. When the
sample was post-annealed to 800 K, the
morphology of the surface changed, as shown in
Figs. 5(e) and (f). At this temperature the
rearrangement of an existing gold film was
observed. These STM results showed similarity
to previous AES studies concerning possibility of
a 2D growth mode [183] between 773 and 973 K.
However, one should remember that post
annealing to a certain temperature (in our case
800 K) and growth at the same temperature, 800
K, cannot be compared directly because of
differing kinetic pathways. This rearrangement
that occrued between the monolayer and two
layer regime gave rise to a non-regular well
separated Au island network, see Fig. 5(e) and
Fig. 5(f) for 1.0 and 1.2 ML, respectively. The
1.0 and 1.2 ML coverages discussed here were
the initial coverages before the post-annealing
procedure. The fact that a complete monolayer
annealed at 800 K lead to island formation is
indicative of gold alloying into the molybdenum
substrate. This agrees well with what is known
from literature [182]; 800 K is below desorption
temperature of gold from the Mo(110) face. In
this publication, the authors used thermal
desorption spectroscopy to study the annealing
behaviour (up to 1550 K) of thick Au films on
Mo(110) surfaces. The TDS results have shown
that the desorption process begins at about 1080
K. Further inspection of the data showed
desorption of a full gold multilayer at T = 1180 K
and of a single monolayer at T = 1300 K. The
analysis of post annealed Figures showed that the
height of the gold islands corresponded to one-
atom high islands, mainly 2.3 Å. From the
presented STM results here it is clear the two-
dimensional gold islands observed after the post-
annealing procedure grew on top of the Au-
Mo(110) surface alloy. The rearrangement of Au
films with change in temperature from room
temperature to 800 K was most likely due to the
high sensitivity of the surface diffusion
coefficient of Au ad-atoms to temperature. The
mobility of Au ad-atoms on Mo(110) was
reduced near room temperature and at a
temperature approaching 800 K the diffusion
mean free path was long enough for ad-atoms to
reach the step edges. The occurrence of mass
transport over step edges in this work was not
observed.
2.5. Sn/Mo(110)
In case of this adsorption system at room
temperature two linear regions of the AES(t) plot
for 186 eV molybdenum can be distinguished,
see Fig. 6(a). The scatter of experimental points
for the tin signal was large because this signal
was low because it was taken with the use of the
retarding field analyser (RFA), and the ratio of
noise to signal was large. It was apparent from
this part of the AES(t) plot that two-dimensional
growth of the first and second layer was
observed. Curve (1) in Fig. 6(a) was calculated
for the Frank – van der Merwe (FM) under the
supposition that at the (hS1; t1) point the first tin
layer was completed. From comparison of our
calculated and experimental AES(t) plots it could
be seen that two-dimensional growth of the
second and third tin layer is also observed.
However, it was impossible to distinguish any
distinct breaking point after deposition time t3 on
the experimentally found AES(t) plot. a shape of
the AES(t) plot suggested Stranski – Krastanov
growth mode after formation of the second layer.
Further we will assume, that the first linear
region of the curve corresponds to the formation
of the first layer (θ = 1 ML) of tin, where 1 ML
of Sn(111) film corresponds to an atomic packing
density of 5.481014 atoms/cm2. Fig. 6(b)-(f)
shows STM images of the Mo(110) surface with
varying Sn coverage in order to illustrate the
morphology of Sn layers deposited on Mo at
room temperature. The insets of Fig. 6(b), (e),
and (f) present corresponding differentiated STM
images with enhanced contrast. Fig. 6(b) shows a
typical STM image corresponding to a
submonolayer coverage of θ 0.7 ML. The
bright features show one monolayer high tin
islands. Such behavior of tin in the initial stage of
Journal of Physics: Condensed Matter
12
growth on the Mo(110) surface confirmed
experimental results obtained during our AES
measurements and previous studies [24].
Analysis of the STM measurements indicated
that, for a coverage less than 1 ML, the
distribution of the tin islands was random on the
Mo terraces. This can be seen in Fig. 6(b) where
it appeared that the tin islands do not exhibit
preferential growth directions. Fig. 6(c) shows an
STM image corresponding to a complete
monolayer, i.e. θ 1.0 ML, as deduced from our
AES experiment. The first two-dimensional tin
layer is disordered. For a coverage θ 2 ML, see
Fig. 6(d), a second complete but disordered tin
layer was visible, as expected from literature [24]
and our AES studies. The higher surface energy
of the Mo substrate (and the similar atomic size
of Sn, see Table 1) allowed the Sn film to grow
in pseudomorphic registry with the substrate.
When the sample was post-annealed to 800 K,
the morphology of the surface changed, as shown
in Figs. 6(e) and (f). At this temperature the
rearrangement of an existing tin film was
observed. These STM results were consistent
with previous studies concerning the possibility
of a 2D growth mode [24] between 790 and 1020
K. However, again, one should remember that
post annealing a sample grown at room
temerature to the growth temperature (in our case
800 K) is not a process that can be compared
directly to a growth at that same temperature
because of different kinetic pathways. This
rearrangement that occurred between the
monolayer and bilayer regime gave rise to a non-
regular well separated Sn island network, see Fig.
6(e) and Fig.6(f) for 0.7 and 1.0 ML,
respectively. The 0.7 and 1.0 ML used in this
description are the initial coverages measured
before any post annealing procedure. The average
size of the islands was estimated to be about 10
3 nm. The corrugation changed from 0.4 to 2.4 Å
after post annealing. The fact that a complete
monolayer annealed at 800 K lead to island
formation suggested that tin alloyed into the
molybdenum substrate. It is probable that some
of the tin atoms dissolved into the bulk sample to
form an Sn-Mo alloy. This is expected from
literature [24], where it has been shown that 800
K is below desorption temperature of tin from
Mo(110) face. The authors here studied the
Figure 6. Sn deposition on Mo(110) face at T = 300 K. (a) AES(t) plot of Mo MNN and Sn MNN peak
heights. (1) AES(t) plot calculated for the Frank–van der Merwe growth. STM images at coverages: (b)
0.70 ML (2350 Å × 2350 Å, IT = 0.33 nA, Ubias = 987 mV). (c) 1.0 ML (2300 Å × 2300 Å, IT = 0.2 nA, Ubias
= 1.0 V). (d) 2.00 ML (2500 Å × 2500 Å, IT = 0.73 nA, Ubias = 2.1 V). (e) post annealed 0.7 ML at T =
800 K (1360 Å × 1360 Å, IT = 0.21 nA, Ubias = 790 mV). (f) post annealed 1.0 ML at T = 800 K (1210 Å ×
1210 Å, IT = 0.2 nA, Ubias = 1.0 V). The insets in (b), (e) and (f) present differentiated STM images with
enhanced contrast. Adapted from [20]. Copyright (2011) by Elsevier.
Journal of Physics: Condensed Matter
13
annealing behaviour (up to 1550 K) of thick Sn
films on the Mo(110) surface using TDS. It was
shown that the desorption process starts at about
1000 K. Desorption of a tin multilayer was
shown to occur at T = 1180 K and a monolayer at
about T = 1500 K. Analysis of Fig.6 showed, that
the height of the tin islands largely corresponded
to single atomic height islands. It can be deduced
from the STM presented here, that the two-
dimensional tin islands that were observed after
the post annealing procedure most likely grew on
the Sn-Mo(110) surface alloy. It should be noted
that the incorporation of tin into the Mo(ll0)
surface that is proposed here is unusual, because
firstly neither of bulk alloys nor stable
intermetallic compounds are known for this
system, and secondly in other metal systems
where a low surface energy metal is adsorbed on
a high surface energy substrate, the first
monolayer does not mix with the substrate. This
has only been observed previously when a
substrate is soluble in the related film as for Pd
on Mo(ll0) [193], or when the adsorbate and
substrate material form intermetallic compounds
such as Pb on Au(100) [194-195]. On the other
hand, tin is too large for molybdenum to form
stable bulk compounds (high temperature and
pressure is necessary to stabilize such
compound), yet on the surface these size
restrictions are much less dominant. To a certain
extent a somewhat larger size of the adatom can
even be favourable for incorporation because in
this case the surface can achieve a larger packing
density, which is favourable. The rearrangement
of Sn films with change in temperature from
room temperature to 800 K was probably due to
the high sensitivity of the surface diffusion
coefficient of Sn ad-atoms to temperature. The
mobility of Sn ad-atoms on Mo(110) was reduced
near room temperature and increases with
temperature until at temperatures approaching
800 K the diffusion mean free path was long
enough for ad-atoms to reach the step edges. The
occurrence of mass transport over step edges in
this work was not observed. Another important
parameter, which determines the structure of
epitaxial films, is the lattice misfit f [196-199] of
the film to the substrate and can be
accommodated by elastic strain or by the
formation of dislocations. Misfit is given by f =
(aS – aA)/aA, where aS and aA are the lattice
parameters of the substrate and adsorbate,
respectively. Since the film elastic energy is
proportional to f 2, and dislocation energy is
proportional to f, a critical misfit exists below
which pseudomorphic growth can be expected. In
addition, strain energy contributes to the surface
energy of the deposited layer. As a result, if the
strain energy becomes large it could be
energetically more favourable to form three-
dimensional islands on top of the initially formed
film (SK growth mode). Comparison of misfit for
different adsorbates is presented in the Table 1.
2.6. Pb/Mo(110)
Figure 7 shows STM images from the Mo(110)
surface with different Pb coverages in order to
illustrate the morphology of the Pb layers
deposited on Mo at room temperature. A typical
STM image for 0.4 ML Pb deposition can be
seen in Fig. 7(a). Pb islands with an irregular
shape are shown as bright features and were
deduced to be monolayer height islands. As the
Pb coverage approached 1 ML, the Pb wet the
Mo(110) surface almost completely, as can be
seen in Fig.7(b). It is not easy to determine
whether an adsorbate wets a surface or not by
STM. However, almost perfect wetting occurred
due to the high specific surface free energy of the
Mo(110) surface compared to that of the Pb(111)
surface. As the total specific surface free energy
is always minimized by nature, a covered
Mo(110) surface was favoured. As it can be seen
from the inset of Fig.7(b), the first Pb layer on
the Mo(110) surface was not free from
dislocation defects. The pseudomorphic growth
of the first two-dimensional Pb layer was
thermodynamically driven by the lower surface
free energy of Pb, and is the dominant process so
the Pb layer wets the Mo surface despite the
elastic energy required as a result of the large
lattice mismatch. Detailed inspection of Fig.7(b)
showed that the second lead layer starts to grow
before complete formation of the first layer. The
arrows in Fig.7(b) indicate where the Pb adatoms
of the second layer started to nucleate [200]
which occurred preferentially at dislocation
defects of the first Pb layer. As it can be seen, the
density of the dislocation defects was higher at
monatomic ledges. At higher coverages (1 ML <
5 ML) the growth became three-dimensional,
(Fig.7(c)-(f)). These results contradict the
literature data [25], where layer-by-layer growth
at room temperature was reported. Fig.7(c) and
(e) show STM images after 1.2 and 2.5 ML of Pb
were deposited on the Mo(110) surface at RT.
Height profiles that were taken across the Pb
islands (Fig.7(d)) show that the Pb crystallites
had a thickness of about 6 Å. The interlayer
Journal of Physics: Condensed Matter
14
spacing along the [111] direction of Pb was d111 =
2.86 Å and therefore the islands had a thickness
corresponding to the stacking of two atomic
layers. The heights of Pb islands were measured
from the wetting layer. At coverages below 2
ML, Pb islands were observed with an average
diameter of 800 Å and a standard deviation of 70
Å. As the Pb coverage was increased up to 2.5
ML (Fig.7(e)), more than 75% of the islands
were two layers in height. Four-layer high islands
were also observed, however, but they
represented less than 25% of the total population
of the Pb islands. In Fig.7(e), the heights of the
Pb islands measured in atomic layers are
indicated. The observed Pb islands on the wetting
layer had regular shapes, sharp edges and smooth
tops, and tended to grow up with higher
coverages suggesting that such islands are stable.
It should be pointed out that above > 1 ML,
one-layer thick Pb islands were never observed.
At coverages greater than 3 ML (Fig.7(f)), further
formation of islands with sharp edges and smooth
tops was observed. The island height distribution
(number of Pb islands with a given height),
however, showed strong peaks at relative heights
corresponding to the number (N = 2, 4, and 6) of
Pb atomic layers. During post-annealing to 1050
K, a change of the height of the lead ‘magic
islands’ was observed. Fig.8 shows STM images
obtained after the post-deposition annealing
(1050 K, 5 sec.) of Pb films ( = 5.0 ML)
deposited on Mo(110) at room temperature [20,
201]. Height profile (C), taken across the Pb
islands (Fig. 8(c)), show that only islands
containing 2, 5, and 7 atomic layers of Pb were
observed above the wetting layer. Close
inspection of the STM topography image in
Fig.7(b) revealed the presence of two well-
ordered lead superstructures denoted 1 and 2
[23]. Their geometrical parameters are described
Figure 7. STM images of Pb deposited on Mo(110) face at T = 300 K: (a) = 0.4 ML (1140 Å × 1140 Å, IT =
0.2 nA, Ubias = 1 V). (b) = 1.0 ML (1951 Å × 1951 Å, IT = 0.3 nA, Ubias = 800 mV). The inset presents zoom
(242 Å × 242 Å) in the area indicated by a square. Arrows indicate the places where the Pb atoms of the
second layer start to nucleate at dislocations of the first Pb layer. (c) = 1.2 ML (10000 Å × 10000 Å, IT = 0.2
nA, Ubias = 1 V). (d) Height profile along the line B from the image in (c) demonstrating that the height of the
islands corresponds to the height of a double Pb step height. (e) = 2.5 ML (8563 Å × 8563 Å, IT = 0.2 nA,
Ubias = 1.0 V). The height of the Pb islands corresponds to 2 and 4 atomic layers of Pb(111). (f) = 5 ML
(10000 Å × 10000 Å, IT = 0.2 nA, Ubias = 1 V). Island height distribution (number of Pb islands with a given
height) obtained from this image has showed the strongly preferred heights of the Pb islands corresponding to
2, 4 and 6 atomic layers of Pb(111) [22]. Copyright (2009) by The American Physical Society.
Journal of Physics: Condensed Matter
15
in the caption of Fig.9(a)-(b). The structures 1
and 2 were observed simultaneously in different
areas of the Mo(110) substrate. STM images
indicated in both cases that a long-range order in
the surface system was present. The density of Pb
atoms determined for the 1 and 2 structures
were 4.5×1014 and 6.4×1014 atoms/cm2,
respectively, which corresponds to 48% and 68%
of the density of the close-packed (111) Pb layer
(equal to 9.4×1014 atoms/cm2). Taking into
Figure 8. STM images of Pb deposited (Pb 5.0 ML) on Mo(110) face at T = 300 K and post annealed at 1050
K: (a) (20000 Å × 20000 Å, IT = 0.21 nA, Ubias = 559 mV) showing the observed ring morphology (indicated by
white arrows) on the 5 atomic layers of Pb(111) islands. (b) (6100 Å × 6100 Å, IT = 1.18 nA, Ubias = 298 mV).
Height of the islands corresponds to 2, 5 and 7 atomic layers of Pb(111) [201]. (c) Height profile along line C
from the image in (b) demonstrating that the heights of the rings corresponding to 2 atomic layers of Pb(111). (a)
is adapted from [20]. Copyright (2011) by Elsevier.
Figure 9. Pb deposition on Mo(110) face at T = 300 K. STM images (differentiated in insets) of two kinds of
Pb superstructures: (a) 1 (80 Å × 80 Å, IT = 1.7 nA, Ubias = 149 mV). (b) 2 (50 Å × 50 Å, IT = 3.3 nA, Ubias =
76 mV). White parallelograms indicate unit cells of the respective Pb structures with geometrical parameters
measured to be equal to a = 4.3 Å, b =5.2 Å, and α = 84° for 1, and a = 4.1 Å, b = 3.8 Å, and α = 92° for 2.
(c) and (d) presents overlap of the geometrical models of the superstructure 1 and 2 with its filtered STM
images, respectively. Parameters of the simulated unit cells are a = 4.1 Å, b = 5.2 Å, α = 84° and a = 4.1 Å, b
= 3.9 Å, α = 90° for 1 and 2, respectively. Red dashed lines denote the supercells used in simulations [23].
Copyright (2009) by The American Physical Society.
Journal of Physics: Condensed Matter
16
account the experimental results, structural
models of the Pb/Mo(110) surface have been
constructed reproducing the topography of the
obtained STM images. The lateral geometrical
properties of this model (distances between the
nearest lead adatoms along the directions a⃗ and b⃗ and the angle between them) are almost the same
as those deduced from the STM measurements
(cf. captions of Figs. 9(a) and (c)). Structural
relaxation showed that such a model would be
stable, i.e., the lateral positions of all lead
adatoms in the relaxed structure were the same as
in the starting configuration while PbS adatoms
protruded 0.08 Å above PbL. The superstructure
2 is, in turn, modeled by an adlayer with PbL,
PbS, and PbT atoms (cf. Fig.9(d), corresponding
to the coverage of 4/9 ML. The lateral parameters
of this model (i.e., a⃗ , b⃗ and α) reproduce well the
STM data (cf. captions of Figs.9(b) and (d)).
Results of structural simulations show PbT
adatoms located 0.09 Å above PbS and 0.17 Å
above PbL while the lateral positions of all lead
atoms remain fixed during the relaxation. The
supercells used for simulation of both
superstructures are different, and therefore, a
direct comparison of their total energies is not
possible. Thus, to determine the energy
relationship between them, the average
adsorption energy (Eb) per one Pb adatom has
been calulated defined as Eb =
−1
N(EPb/Mo(110) − EMo(110) − NEPb ), where
EMo(110) is the energy of a clean Mo(110) slab,
EPb/Mo(110) is the energy of an adsorbed slab, and
EPb is the energy of free Pb atom, and N is the
number of adsorbate atoms in the cell. To this
end, Eb was averaged over two or four adatoms
from the supercell corresponding to the
superstructures 1 and 2, respectively (cf.
Figs.9(c) and (d)). Obtained averaged adsorption
energies are equal to 4.28 eV for 1 and 4.29 for
2. It should be noted that the energetic properties
of the lead superstructures considered in this
section are consistent with experimental results
presented in Ref. [24], indicating that adsorption
energy of lead adatoms increases with coverage.
Indeed, adsorption energies calculated for dense
superstructures corresponding to a coverage of
2/3 ML were above 4.4 eV, and are noticeably
higher than the values (below 4.3 eV) obtained
for the more dilute superstructures given in
Figs.9(c) and (d).
2.7. Pb/Ni3Al(111)
In the growth of lead on Ni3Al(111) at room
temperature, one linear component of the AES(t)
plots for both 61 eV nickel and 94 eV lead peaks
were observed, see Fig. 10(a). This component of
the AES(t) plots indicated a two-dimensional
(2D) growth of the first lead layer. After the first
monolayer, the quasi-linear shape of the second
region of the AES(t) suggested that a two-
dimensional growth continued that was not of the
standard Frank – van der Merwe (FM) type. In
this region the calculated AES(t) plot for a
substrate with FM growth did not fit the
experimental data (see curve (1) in Fig. 10(a)). A
much better fit was obtained for the plots for
growth up to 2.5 ML when a growth of flat Pb
islands composed of three atomic layers (curve
(2) in Fig. 10(a)) were assumed in the
calculations. Another assumption that was made
was that the first linear region of the curve
corresponded to the formation of the first layer (θ
= 1.0 ML) of lead. Fig. 10(b)-(d) show STM
images of Ni3Al(111) surfaces with various Pb
coverages and illustrate the evolution of growth
morphology of the Pb layer deposited on
Ni3Al(111) at room temperature. Fig. 10(b)
shows a typical STM image corresponding to a
monolayer coverage θ = 1.0 ML where Pb was
seen to wet the Ni3Al(111) surface almost
completely. At this coverage only LEED spots
associated with the p(4×4) structure were
observed [32]. The density of Pb atoms in the
p(4×4) structure is known to be 10.42×1014
atom/cm2, which corresponds to 110% of the
density of the close-packed (111) Pb layer. The
almost perfect wetting in this system was due to
the high specific surface free energy of the
Ni3Al(111) surface as compared with that of the
Pb(111) surface. Since the total specific surface
free energy is always required to be minimised, a
covered Ni3Al(111) surface was favoured. As
seen in the inset of Fig. 10(b), the first Pb layer
on the Ni3Al(111) surface was not free from
dislocation defects. The arrows in Fig. 10(b)
indicate areas where holes with an average depth
of dh = 1.02 ± 0.35 Å in the wetting layer were
observed. The observed two-dimensional growth
of the first Pb wetting layer was
thermodynamically driven by the lower surface
free energy of Pb compared to Ni3Al, see Table
1. This wetting was still favorable despite the
elastic energy resulting from the large lattice
mismatch between Pb and Ni3Al, ~39% [32]. A
similar wetting layer growth with dislocations
was observed for Pb adsorption on Mo(110) [22]
as described above in Section 2.5. The presence
Journal of Physics: Condensed Matter
17
of compressed wetting layers with a density
higher than the metallic Pb(111) density by
approximately 5% has been identified as the key
factor that provides unusually fast and non-
classical kinetics in the uniform height islands
[34,53]. It is not unusual to expect that the p(44)
phase plays the same role and superfast diffusion
could have been present in this system as well. At
coverages of > 1 ML, three-dimensional growth
was observed. Figure 10(c) shows STM images
taken after 3.5 ML of Pb was deposited on the
Ni3Al(111) surface at room temperature. The Pb
islands have a hexagonal shape, flat top and
thickness of approximately 9, 14, 20, or 32 Å.
The interlayer spacing along the [111] direction
of Pb was measured to be d111 = 2.86 Å and
therefore the islands had a thickness
corresponding to 3, 5, 7 or 11 atomic layers,
respectively. As Pb coverage was increased to 5.5
ML, three types of regular hexagonal islands with
length side 25, 30 and 45 nm were measured
(Fig. 10(d)). Smaller irregularly shaped Pb
islands were also observed between the main
regular hexagonal islands. Furthermore, three
different adsorption configurations of Pb were
distinguishable, rotated by α = 10° ± 1°and β =
30° ± 6° with respect to each other. It should be
noted that the different orientation of these
hexagonal Pb islands was not correlated with
their size. The presence of these multilayer lead
islands agreed with the island growth deduced
from AES analysis at room temperature [32].
During post-deposition annealing (T = 400 K, 60
sec.) of Pb films ( = 5.5 ML), a change of the
height of the lead ‘magic islands’ was observed
as seen in Fig. 10(e)-(f). Only islands containing
Figure 10. Pb deposition on Ni3Al(111) face at T = 300 K. (a) AES(t) plot of Ni MVV and Pb NVV peak
heights. (1) – AES(t) plot calculated for Frank–van der Merwe growth. (2) – AES(t) plot calculated for the
growth of three atomic layer thickness flat islands on the first lead layer. STM images at coverages: (b) =
1.00 ML (2070 Å × 2070 Å, IT = 122 pA, Ubias = 2.0 V); The inset presents zoom (392 Å × 392 Å) in the area
marked by a square. Arrows indicate holes in the wetting layer. (c) = 3.5 ML (1520 Å × 1520 Å, IT = 100
pA, Ubias = 3.2 V). The height of the Pb islands corresponds to 3, 5, 7 and 11 atomic layers of Pb(111).
Hexagonal shape of Pb islands is marked. (d) = 5.5 ML (4400 Å × 4400 Å, IT = 146 pA, Ubias = 7.1 V). The
Pb islands have regular hexagonal shape I, II and III with the length of the side 25, 30 and 45 nm,
respectively. The different orientation of the Pb islands with respect to each other is marked. (e) post annealed
= 5.5 ML at T = 400 K (6600 Å × 6600 Å, IT = 130 pA, Ubias = 7.6 V). The height of the Pb islands
corresponds to 2 atomic layers of Pb(111) measured from the wetting layer. The inset present differentiated
STM images with enhanced contrast. (f) Height profile along line D from the image in (e). Adapted from [33].
Copyright (2013) by Elsevier.
Journal of Physics: Condensed Matter
18
two atomic layers of Pb are observed above the
wetting layer. LEED patterns only corresponding
to a weakly ordered p(44)-Pb structure were
observed after post-deposition annealing [32].
These STM results confirmed AES studies at T =
400 K concerning a 3DIM growth mode at the
same height above the wetting layer. Table 2
shows the addition of the Pb-Mo(110) and Pb-
Ni3Al(111) adsorption systems to the known
group of systems where uniform island height
selection during metal thin film growth has
already been observed and interpreted in terms of
quantum size effects (QSE) [60-65]. Typically,
these electronic effects have been observed on
semiconducting [41,43-59] or metal substrates
[22, 32-42,58]. For example, STM/STS
observations of Pb islands on the Cu(111) surface
face [40] indicated that the equilibrium
distribution of island heights showed some
heights appearing much more frequently than
others. In all these systems a confining barrier
restricted the electron to be within the film
because of misaligned electronic bands in the
metal film and the substrate so no states were
available to move from the film to the substrate.
‘Magic’ preferred heights correspond to islands
with a quantum well state far from the Fermi
energy, while the ‘forbidden’ heights appear to
be those that have a quantum well state close to
the Fermi level. Another typical example of
uniform island growth is Pb deposited on Si(111)
at a temperature between 170 and 250 K and
typically results in the formation of Pb islands
with N = 4(unstable), 5, 6, 7 and 9 atomic layer
heights above the wetting layer. Nevertheless, the
occurrence of ‘magic heights’ is related to the
increased stability associated with islands of
specific thickness. Ayuela and co-workers [202]
studied quantum size effects of Pb overlayers
using density-functional theory (DFT)
calculations and analytical models. This work
demonstrated that the high stability of Pb islands
on metallic or semiconductor substrates at even
higher coverages was supported by an extra
second quantum beat pattern in the energetics of
the metal film as a function of the number of
Table 2. The table summarizes the observed layer thicknesses (N) of ‘magic height’ Pb islands for different
adsorption systems. Layer thicknesses are measured with respect to ‘wetting layer.’ (u) – describes unstable Pb
islands. Reproduced from [20,22,32-36,40,43-48,50,52,61,201].
Journal of Physics: Condensed Matter
19
atomic layers. It seemed that this pattern was
triggered by the butterfly-like shape of the Fermi
surface of lead in the [111] direction and
supported the detection of stable ‘magic islands’
of greater heights than measured until now. The
most stable ‘magic islands’ from this DFT study
had heights corresponding to the number (N = 2,
4, 6, 7, 9, 11, 13, 14, 16, 18, 20 …) of lead
atomic layers. Recently, Özer et al. [203] and Jia
at al [204] have shown that, similar to the case of
pure Pb, the Pb1-xBix alloy films on Si(111) 7×7
exhibit a reentrant bilayer-by-bilayer growth
mode but with different quantum beating
patterns. The observed stable thickness sequence
was 4, 6*7, 9, 11, 13, 15, 17, 19*20…ML, where
the asterisks indicate the locations of the even-
odd crossover. At the higher concentration of
Pb80Bi20, the alloys did not exhibit quantum
growth but simply followed classical layer-by-
layer growth.
3. Molecules and metal growth on the
Al2O3/Ni3Al(111)
3.1. Al2O3/Ni3Al(111)
It is known that the controlled oxidation of the
clean Ni3Al(111) surface results in the formation
of a closed double layer alumina film with a
distinctive long-range order [156-157, 205-206].
Recent SPA-LEED and STM investigations [92]
showed that under the preparation conditions
used, the Al2O3 film forms a long-range ordered
hexagonal superstructure on the nanometer scale.
Fig. 11(a) shows an overview SPA-LEED image
of the alumina film on Ni3Al(111) at an electron
energy of 110 eV. Apart from the aluminum
p(22) superstructure of the substrate
(Fig. 11(b)), a very large number of additional
superstructure spots originating from the Al2O3
film could be seen. Around the (0,0) spot two
rings consisting of twelve superstructure spots
each (Fig. 11(a)) could be observed. These two
rings could be related to two superstructures, the
“network” and the “dot” structure. The fact, that
we observed 12 spots, was related to the
superposition of two hexagonal rotational
domains of the alumina film, which have already
been observed by STM [207]. The angle between
domains was 24° which was in good agreement
with the STM results. The larger of the two rings
could be attributed to the diffraction from the
“network” structure. The size of the unit cell of
this structure (blue lines in Fig. 11(b)) could be
calculated when using the known size of the
substrate lattice. The value of bnet(SPA-LEED) is
24 Å. Similarly, the inner circle could be
attributed to diffraction from the “dot” structure.
In this case the value for the unit cell size
bdot(SPA-LEED) was equal to 41.6 Å.
Furthermore, it was determined that the angle of
rotation between the network structure and the
substrate was 18° as calculated from the SPA-
LEED image. Based on these findings it was
possible to simulate the LEED pattern using the
substrate lattice and unit cells of the “network”
and “dot” structures, blue and red circles in
Figs.11(b), respectively. The strong dependence
of the corrugation on the tunneling voltage can be
seen in the STM images of Fig. 12. At bias
Figure 11. (a) SPA-LEED image of the Al2O3/Ni3Al(111) taken at an electron energy of 110 eV. (b) Simulation
of the LEED image. The units cells are: p(2×2) aluminum sub-lattice of the substrate (green), network structure
(blue), and dot structure (red). Adapted from [92]. Copyright (2005) by Elsevier.
Journal of Physics: Condensed Matter
20
voltages around Ubias = 3.2 V (see Fig. 12(a)) a
hexagonal arrangement of hollows was observed
where every hollow was surrounded by a
hexagonal ring of bright dots. This structure
possessed an apparent lattice constant of 24 Å
and will be referred to as ‘‘network structure’’ in
the following text. However, closer inspection of
this structure indicated that not all hollows have
the same depth. Some hollows were up to 40 pm
shallower than the others. This fact is clearly
visible in the cross section shown in Fig.12(d).
The shallower hollows formed a regular
arrangement, which formed the basis of a
hexagonal unit cell with a lattice vector of 41.6
Å. This unit cell of the alumina film was more
easily observed in the STM images, Fig. 12(b)
and (c), due to a contrast reversal, which was
found at a bias voltage of 2.0 and 4.2 V, and will
be referred to as ‘‘dot structure’’ in the following
text. Recent AFM measurements have shown
that, indeed, the surface was atomically flat and
that the ‘‘dot structure’’ corresponded to the
actual surface unit cell [208-209]. Scanning
tunneling spectroscopy (STS) was used to study
the electronic properties of the system
Al2O3/Ni3Al(111) [157]. In Fig. 13(a) STS
spectra are shown together with the
corresponding STM image in which the positions
are shown where the spectra were acquired.
Curves (A) and (B) were taken at a deep hollow
site and on the hexagon surrounding that site,
respectively. In the range -4 V to -6 V the main
ascent of the density of states of the oxide
valence band was visible. At the large tip-sample
separation used for these spectra, no electronic
states in the range -4 V to 2.7 V were detected.
Above a value of 2.7 V an increase of the density
of states was seen, which corresponded to the
lower edge of the oxide conduction band. From
this it was possible to derive a value of 6.7 eV for
the band gap of the Al2O3 film. The band gap of
an Al2O3 film prepared on NiAl(110) has also
been quoted before at 6.7eV [210]. The
comparison of curves (A) and (B) in Fig. 13(a)
shows that the band gap measured by STS was a
function of the tip position. In Fig. 13(b) an STM
image is shown for which a set of tunneling
spectra were measured at different locations (A)-
(F) and the corresponding STS spectra are
displayed in Fig. 13(c). The centre of this STM
Figure 12. LT-STM images of the Al2O3/Ni3Al(111) measured at T = 23 K and different bias voltages. The
unit cell of the hexagonal alumina superstructure is drawn in red. The image parameters are: (a) The ‘‘network
structure’’ at Ubias = 3.2 V (278 Å × 278 Å, IT = 122 pA), (b) The ‘‘dot structure’’ at Ubias = 2.0 V (278 Å × 278
Å, IT = 105 pA), (c) The ‘‘dot structure’’ with inverted contrast at Ubias = 4.2 V (123 Å × 123 Å, IT = 103 pA).
In (d) two cross sections taken at the positions indicated in (a) and (b) are shown. (a), (b) and (d) are adapted
from [92]. Copyright (2005) by Elsevier. (c) is adapted from [95]. Copyright (2008) by Elsevier.
Journal of Physics: Condensed Matter
21
image (A) shows a shallow hollow that was a
coincidence point of the commensurate Al2O3
structure [92]. The spectra were taken over a bias
voltage range 1.5 V to 3.3 V. This corresponded
to an energy range in the vicinity of the oxide
conduction band edge where electronic states
originating from the oxide could be detected.
Spectrum (A) was measured directly at the
coincidence point. It exhibited one maximum at
approximately 2.4 V, which was in agreement
with previous studies [211]. Spectra (A) to (F)
were measured at an increasingly larger distance
from the coincidence point. Going from spectrum
(B) to spectrum (E) the maximum at 2.4 V
decreased and was no longer visible in spectrum
(E). In addition an electronic state around 3.0 V
appears. In Spectra (B) and (C) the maximum
around 2.4 V could be distinguished as well as
the one around 3.0 V. These results clearly
showed that in this energy range there existed
two electronic states with different origins at
different locations within the oxide supercell. The
electronic state at 3.0 V was present everywhere
on the surface except the coincidence points.
Spectrum (F) was measured in the centre of a
deeper hollow of the structure and was nearly
identical to spectrum (E), which corresponded to
a completely different point on the alumina film.
Previous studies on the Al2O3/Ni3Al(111) system
showed a pronounced template effect for growth
of a number of metals. While the ‘‘network
structure’’ was shown to have a direct influence
on the growth of V [212] and Mn [213] clusters,
a template effect of the ‘‘dot structure’’ for Cu
[212], Ag [214], Au [214] and Pd [107] clusters
has been demonstrated. The next logical step was
the investigation of less strongly interacting
adsorbates such as organic molecules and will be
discussed in the next section.
3.2. C32H16N8Cu/Al2O3/Ni3Al(111)
Thin films formed from organic molecules
including Copper phthalocyanine are rapidly
gaining traction in different technological fields
[215]. Copper phthalocyanine is an organic
molecule with a molecular weight of 576 g/mol
and a side length of 12 Å. It possesses a D4h-
symmetry and is completely planar in the gas
phase [216]. The extensive aromatic -electron
system and the chelating properties of the
phthalocyanine core result in stable complexes
with copper and many other metal ions. In the
ground state copper is in the oxidation state +II.
Pure CuPc is known to crystallize in several
modifications [217]. The - and -modification
are the most stable structures. Both are composed
of stacked layers of planar Pc molecules, which
show different stacking sequences and layer
spacings of 0.34 nm [216] and 0.33 nm [218],
respectively. The stacked arrangement of the
molecules enables strong interactions between
their p-electron systems (‘‘-stacking’’). This
results in a high thermal stability and low vapor
pressure. DFT calculations have shown that the
HOMO is strongly affected by the dx2
-y2 -orbital
of the copper ion [219]. This results in a
relatively high energy due to the electronic
splitting in the quadratic planar ligand field.
Because of the d9-configuration of the copper ion
the HOMO is only half filled and may
theoretically take part in the tunneling process.
However, due to the missing z-component of the
dx2
-y2 –orbital this seems to be improbable so the
Figure 13. LT-STS measurements of the Al2O3/Ni3Al(111) at T = 23 K [157]. (a) Tunneling spectra measured at
the points indicated on the STM image (50 Å × 50 Å, IT = 100 pA) in the inset. Curves (A) and (B) were
acquired after the feedback loop was opened at 3.2 V. The corresponding modulation frequency was 10 kHz
with an amplitude of 40 mV. (b) Fourier filtered STM image (53 Å × 53 Å, IT = 95 pA, Ubias = 3.2 V). (c)
Tunneling spectra (A) - (F) acquired at the points indicated in (b).
Journal of Physics: Condensed Matter
22
STM depiction should be dominated by the
LUMO, which has eg-symmetry. The big energy
gap of more than 1.5 eV between the LUMO and
the higher unoccupied orbitals should prevent
their participation in the tunneling process. This
assumption was proven by our STM
investigations [95] at a coverage of CuPc = 0.03
0.02 ML, Fig. 14. Individual molecules were
imaged as four-lobe protrusions, which was in
good accordance with the calculated LUMO
[220]. Small differences like the obviously
missing electron density at the outer carbon
atoms of the benzene rings were most likely due
to interactions with the substrate. The
surprisingly large side length of the adsorbed
CuPc in the STM images of ~ 20 Å compared to
the expected value of 12 Å (see Fig. 14(a)) was a
frequently observed phenomenon, which could
be explained by a small overlap of the orbitals of
tip and molecule even at greater distances [221].
This resulted in a small tunneling current, even
when the tip was not exactly positioned above the
molecule. At this coverage of CuPc = 0.03 0.02
ML local dI/dV curves of individual CuPc
molecules were recorded. Since the CuPc
molecules and their arrangement on the surface
were quite sensitive to the alternating high
electric field of the tip during the STS
measurements some precautions had to be taken.
Only spectra that did not influence the position
and the shape of the molecules were considered.
To ensure this, STM images of the individual
molecule were taken before and after the
spectroscopic measurements. Interestingly at
different positions of the tip above the molecule
(Fig.14(c)) the local dI/dV curves shown in
Fig.14(d) looked quite similar. They exhibit only
one maximum centered around 1.2 eV, which
could be clearly identified as the energy of the
degenerate LUMO. This exhibited a marked
difference to former investigations of CuPc
adsorbed on Al2O3/NiAl(110) by Qiu et al. [113].
These authors observed two distinct molecular
symmetries (D4h and D2h). The ones with D2h-
symmetry featured two different maxima in the
local dI/dV curves, which were detected on two
pairs of oppositely located lobes. This was
explained by the lifting of the degeneracy of the
LUMO by reason of a Jahn–Teller effect.
However, we could only detect molecules with
D4h-symmetry and degenerate LUMO on
Al2O3/Ni3Al(111). This could have been due to
small differences in the interaction of CuPc with
Al2O3/N3Al(111) as compared to
Figure 14. Copper phthalocyanine (C32H16N8Cu). (a) Chemical structure. (b) Calculated shape of the LUMO
[109]. (c) STM image measured at T = 23 K of a single CuPc molecule adsorbed on Al2O3/Ni3Al(111) (33 Å ×
33 Å, IT = 100 pA, Ubias = 1.2 V). (d) dI/dV tunneling spectra corresponding to the numbered positions in (c)
(AC modulation voltage of 60 mV at 1 kHz). Adapted from [95]. Copyright (2008) by Elsevier.
Journal of Physics: Condensed Matter
23
Al2O3/NiAl(110). In fact, we found only one
molecular CuPc species, which adopted two
molecular orientations rotated by 30 with
respect to each other. Fig.15(a) shows larger
STM image of the oxidized Ni3Al(111) surface
with a CuPc coverage of CuPc = 0.03 0.02 ML.
At this coverage the molecules were always
adsorbed with the molecular plane parallel to the
substrate surface. At this low coverage only
individual molecules were found, which
apparently did not form an ordered long-range
structure. Closer inspection of the images showed
that the metal centre of the CuPc was always
positioned above one of the bright spots of the
hexagons surrounding the hollows of the
‘‘network structure.’’ However, the ‘‘dot
structure’’ also seemed to effect the position of
the molecules. Even though they were never
centered directly on a coincidence point [92] in
this structure. A significant affinity to surface
defects, e.g. terrace edges or imperfections in the
oxide layer, was not, however, observed at low
temperature and this was probably due to the low
mobility of the CuPc. Furthermore, a distinct
orientation of the CuPc molecules with respect to
the substrate could be observed at low coverage.
As demonstrated in Fig. 15(a) only two different
molecular adsorption configurations of CuPc
were distinguishable, rotated by 30 with respect
to each other. This suggested that a distinct
adsorption geometry was preferred in order to
maximize the adsorption energy as a result of the
interaction of the square shaped molecule and the
hexagonal alumina film. The intermolecular
interactions between the aromatic -systems of
the molecules became ever more important with
increasing CuPc coverage. Fig.15(b) shows the
template effect of the substrate was not strong
enough to compensate for these interactions, even
at a moderate coverage of CuPc = 1.0 0.2 ML.
At 140 K the growth of the second molecular
layer started before the monolayer was complete,
resulting in the formation of randomly orientated
molecular clusters [95]. Here, the molecules were
always oriented with the molecular plane parallel
to the substrate. Interestingly, even in the second
layer the CuPc could be imaged with
submolecular resolution. In an earlier work by
Lippel et al. [109] it was reported that this was
not possible on Cu(100), Si(111) and Au(111).
The measured height difference between
molecules in the first and second layer of 0.35
nm (Fig.15(c)) was comparable to the layer
distance of 0.34 nm in the -modification of pure
Figure 15. LT-STM images measured at T = 23 K of CuPc adsorbed on Al2O3/Ni3Al(111). (a) = 0.03 0.02
ML (130 Å × 130 Å, IT = 107 pA, Ubias = 1.6 V). The different orientation of the single molecules with respect
to each other is marked. (b) = 1.0 0.2 ML (174 Å × 174 Å, IT = 110 pA, Ubias = 3.2 V). (c) Height profile
along the marked line in (b). (d) = 0.03 0.02 ML (138 Å × 138 Å, IT = 110 pA, Ubias = 3.2 V), CuPc on the
“striped phase” of Al2O3. [222]. (a)-(c) are taken from [95]. Copyright (2008) by Elsevier.
Journal of Physics: Condensed Matter
24
CuPc, indicating a similar intermolecular
interaction as in the bulk of this compound. The
layer distance, under normal thermodynamic
conditions, in the stable -modification was 0.33
nm. Figures 15(d) shows a STM image of the
CuPc molecules adsorbed on the “striped phase”
of Al2O3 film [222]. In order to characterize
interaction of the molecules and the surface in
greater detail the surface was annealed. After
annealing to 300 K the formation of CuPc
agglomerates could be observed, indicating a
high lateral mobility of CuPc. Single molecules
could not be observed. After annealing the
sample to 350 K the CuPc was desorbed
completely. According to this, it could be
concluded that CuPc only weakly chemisorbs on
to the oxidized Ni3Al(111) surface and that the
intermolecular forces are much stronger than the
molecule–surface bond [95].
3.3. Fe clusters on Al2O3/Ni3Al(111)
Several recent review articles have described the
growth, structure and electronic properties of
various metallic overlayers on different oxide
surfaces [115, 223-228]. In this section, we
concentrate our review on recent results
concerning the behavior of Fe on Al2O3. The iron
clusters grew and gradually covered the entire
Al2O3/Ni3Al(111) surface with increasing
coverage [96]. However, the growth of a
continuous wetting layer of Fe has not been
observed. This result was in agreement with the
thermodynamic criterion for the wetting of
alumina [229-231]. From energetic
considerations wetting should not occur on the
alumina surface if Eadh < 2 v/m, where Eadh is the
adhesion energy (?) and v/m is the surface free
energy at the vacuum metal interface for liquid
metal. The definition of Eadh is the energy needed
to separate the metal and the oxide at their
interface resulting in a bare oxide surface. Eadh
for iron on alumina was measured to be 1205
mJ/m2 at 1853 K [231]. Eadh is mainly energetic
and therefore nearly temperature independent.
v/m could be extrapolated to temperatures below
the phase transition entailing an increasing v/m
by measuring v/m at 1853 K to be 1787 mJ/m2
[229-231]. The thermodynamic criterion (no
wetting) was consistent with the observation of
Figure 16. STM images of Fe clusters on Al2O3/Ni3Al(111): (a) deposited at 160 K ( = 0.07 ± 0.02 ML,
198 Å × 98 Å, IT = 106 pA, Ubias = 3.5 and 4.2 V in upper and lower part, respectively; TSTM = 23 K). The unit
cell of the hexagonal alumina superstructure is drawn in red. (b) Corresponding line profiles along the blue and
green lines in (a). (c) deposited at 130 K ( = 1.0 ± 0.2 ML, 681 Å × 681 Å, IT = 78 pA, Ubias = 0.7 V,
TSTM = 300 K). The FFT shown in the inset evidences a hexagonal arrangement of the iron clusters with a
nearest neighbor distance of 24 Å. (d) Fourier filtered STM image (62 Å × 62 Å, IT = 151 pA, Ubias = 3.2 V).
(e) Fourier filtered STM image (62 Å × 62 Å, IT = 151 pA, Ubias = 0.19 V), The (22) unit cell of the substrate
is drawn in yellow [222]. (a)-(c) are adapted from [96]. Copyright (2006) by Elsevier.
Journal of Physics: Condensed Matter
25
three-dimensional (3D) particles at 300 K. In Fig.
16(a) and (c) the iron clusters grown at a low
deposition temperature (130 K – 160 K) are
depicted. The surface structure grown to low
iron coverage ( = 0.07 ± 0.02 ML) is shown in
Fig. 16(a), (d) and (e). The iron clusters appear as
bright spots on top of the long-range modulated
alumina film. As evidenced in the upper part in
Fig.16(a) taken at Ubias = 3.5 V and in Fig.16(d)
taken at 3.2 V, the iron clusters nucleated first in
the hollows corresponding to points of the
“network structure” of the alumina film. A
similar behavior was observed for V and Mn
[106], also on alumina. The noble metals Ag, Cu,
Au and Pd, however, nucleate preferentially on
the “dot structure” of Al2O3/Ni3Al(111) with
clusters being 41.6 Å apart from each other [106-
107]. The apparent height of the iron clusters
grown between 130 K and 160 K was 2.6 ± 0.3 Å
with respect to the oxide surface, as inferred from
the line profile shown in Fig.16(b). It is
concluded from STM that the islands are one
atomic layer in height. Cluster growth is a non-
equilibrium process and the final macroscopic
state of a system depends on the different
activation energies for all microscopic kinetic
processes that are involved. At 130 K, the growth
was limited to 2D, since a diffusing Fe atom
laterally approaching a 2D island would attach
itself to the step but cannot climb up to reach the
islands top surface. However, a Fe atom landing
on-top of an Fe island can overcome the Ehrlich-
Schwoebel barrier and would therefore move
down-step. At a Fe coverage of = 1.0 ± 0.2 ML
the nucleation sites of the “network structure”
were all filled with Fe clusters which partly
coalesce (Fig.16(c)). From the Fourier transform
(FFT) shown in the inset, a long-range hexagonal
order of the iron clusters that corresponded to a
distance of 24 Å between the clusters could be
observed. Here, the iron clusters were still two-
dimensional and could be deduced from their
Figure 17. (a) Set of STM images of Fe clusters deposited at 160 K on the Al2O3/Ni3Al(111) surface recorded
as a function of bias voltage ( = 0.07 ± 0.02 ML, 480 Å × 480 Å, IT = 102 pA, TSTM = 23 K). (b) and (c)
presents bias voltage dependence of the height and diameter of the Fe clusters marked in the STM images,
respectively. The increase in cluster height at ~ 1.5 eV can be attributed to empty states of the Fe clusters
whereas empty states of the Al2O3 film contribute around ~ 2.4 eV [222].
Journal of Physics: Condensed Matter
26
apparent height of 2.6 ± 0.3 Å. In another
experiment (not shown) the iron clusters grown at
150 K were annealed for 20 min at 350 K and
STM images were then taken at 150 K. Again,
the apparent cluster height was the same as that
attributed to 2D islands. Thus, the shape of the
iron clusters was determined by the sample
temperature during deposition and remained
unchanged during annealing to room temperature
or even slightly above. The information gained
here on the stability was an important
prerequisite to subsequently running catalytic
reactions or investigating the temperature
dependence of magnetic properties, such as the
zero field susceptibility [232]. The fact that the
growth and annealing temperature have quite
different influences on the cluster shape has been
previously observed in the case of Pd/MgO(100)
[115]. Such a phenomenon was caused by the
generally higher energy barrier required to
transform an entire island into its equilibrium
shape as compared to the one required to put the
atoms, being added one by one during growth
onto thermodynamically favorable sites, and
being lower coordinated. Therefore islands may
well remain 2D upon annealing to temperatures
higher than the growth temperature where they
are 3D. Figures 17 shows the bias voltage
dependence on the height and diameter of the
iron clusters [222]. The observed increase in
cluster height at around 1.5 V could be attributed
to empty states of the Fe clusters [233] whereas
empty states of the Al2O3 film contributed around
2.4 V [157].
4. Conclusions
Recent studies on the growth morphology of thin
films on the metallic and oxide surfaces have
been summarised. The investigation leads to the
following new results. In the first section of the
review growth behaviour of ultra-thin Ag, Au, Sn
and Pb films on Mo(110) was discussed as well
as, in addition to this, Pb on Ni3Al(111) surface.
For Ag on the Mo(110) surface, an analysis of
measurements indicated that three-dimensional
growth of a Ag film was observed. For
submonolayer coverage, the growth of Ag was
mediated by a two dimensional step-flow
mechanism. During the initial stage of this
growth, the first Ag layer nucleated and created
islands at Mo step edges. In the monolayer
coverage range, the decoration of substrate steps
by Ag could be distinguished by the presence of a
fractional step height at the Ag-Mo boundary. As
the sample was post-annealed to 700 K, the
morphology of the surface changed.The step-
flow growth in this case gave rise to a regular Ag
nanostripe network attached to Mo(110) step
edges. In case of Au and Sn layer-by-layer
growth for the first two layers was observed. For
submonolayer coverage, gold and tin created one-
atom high islands on the Mo terraces. Gold
nucleated preferentially along the ]100[ and ]111[
directions, however, tin did not exhibit a
preferential nucleation direction. In the case of
gold and tin no ordered regions were observed in
the completed first and second layer. As the
samples were post-annealed to 800 K,
rearrangement of existing Au and Sn films
occurred and Au-Mo and Sn-Mo surface alloys
were formed. Finally, for Pb films on Mo(110)
and Ni3Al(111) surfaces, the two-dimensional
growth of the first Pb monolayer wetting layer
took place below 1 ML. For > 1 ML, three-
dimensional growth of the Pb islands were
observed on the wetting layer with strongly
preferred atomic scale ‘magic heights’ and flat
tops. Here, at coverages between 1 and 2 ML,
STM showed the growth of two-atom high (N =
2) lead islands. Furthermore at higher coverages,
island height distribution showed peaks at
relative heights corresponding to N = (2, 4, 6, 7
and 9) and N = (3, 5, 7 and 11) atomic Pb layers
for Pb/Mo(110) and Pb/Ni3Al(111), respectively.
As the Pb/Mo(110) and Pb/Ni3Al(111) samples
were post-annealed to 1050 K and 400 K,
respectively, a change of the height of the lead
‘magic islands’ was observed. The island height
distribution exhibited peaks in the relative
heights corresponding to N = (2, 5 and 7) and N
= (2) atomic Pb layers above the wetting layer for
the Pb/Mo(110) and Pb/Ni3Al(111) respectively.
In the second section of this review the properties
of alumina films and the growth morphology of
Copper Phthalocyanine and Fe on the
Al2O3/Ni3Al(111) surface were focused on. The
structural relation between an ultra-thin Al2O3
film and the Ni3Al(111) substrate has been
investigated. It has been found that only the so-
called ‘dot structure’ is a real superstructure of
the Al2O3 film. The unit cell size of this
(6767)R47.784 superstructure (‘dot
structure’), bdot, has been determined with high
precision to be 41.6 Å. SPA-LEED as well as
LT-STM measurements clearly showed the
commensurability of the Al2O3 film and the
Ni3Al(111) surface. This revealed that the
structure of the alumina film is determined by
Journal of Physics: Condensed Matter
27
both the intrinsic structure of the film itself and
the structure of the substrate. In STM the
appearance of the Copper Phthalocyanine as
four-lobe protrusions was in good accordance to
the calculated shape of the lowest unoccupied
molecular orbital (LUMO). The weakly
chemisorbed CuPc molecules showed a high
lateral mobility above 250 K. At 350 K, thermal
desorption was complete. At very low coverages,
below 0.1 ML, a weak template effect of the
alumina surface was observed. Only two different
molecular adsorption orientations of CuPc were
distinguishable, which were rotated by 30 with
respect to each other. With increasing CuPc
coverage the strong intermolecular -electron
interactions compensated the weak template
effect of the surface resulting in the growth of 3-
DIM molecular clusters without any visible
ordering. The distance between the molecules in
the first and second layer was 3.5 Å, which is
similar to that in the -modification of bulk
CuPc. By the use of STS the degenerated LUMO
of the adsorbed CuPc molecules has been
identified at an energy of 1.2 eV above EF.
Finally, results presented here for growth
morphology of iron on the Al2O3/Ni3Al(111)
indicated that the nucleation site of iron clusters
was largely independent of deposition
temperature, while the cluster shape was 2D in
the range 130 – 160 K and 3D at 300 K. At
coverages close to one monolayer the Fe clusters
formed a regular hexagonal lattice with 24 Å
spacing, while at low coverages they occupied
only some of the available nucleation sites. In
comparison with Mn and V cluster growth on
alumina films, the observed perfection of the
order of the cluster arrays increases from Mn- to
Fe- to V-cluster arrays [106]. Iron clusters grown
between 130 K and 160 K were stable against
coarsening and shape changes upon prolonged
annealing to temperatures up to 350 K. Future
theoretical and experimental work is required to
further study the electronic structure and stability
of these uniform Pb ‘magic islands’ on Mo(110)
and Ni3Al(111) surfaces. This type of growth
could have impact on the engineering of stable
materials and devices with nanometer-scale
dimensions. Secondly, to confirm Sn-Mo and
Au-Mo alloy formation.
Acknowledgements
The projects described in this review were
financially supported by the Ministerium für
Wissenschaft und Forschung des Landes
Nordrhein-Westfalen (MWF-NRW), and the
Deutsche Forschungsgemeinschaft (DFG)
through SFB 624 and the priority program
“Organic Field Effect Transistors”, all of whom
are gratefully acknowledged. The work of A.
Krupski was supported by the University of
Wroclaw under Grant Nos. 2016/W/IFD/2006,
2016/W/IFD/2007, 2016/W/IFD/2008,
2342/W/IFD/10, 2016/W/IFD/10,
1010/S/IFD/10, 1010/S/IFD/11. The author also
gratefully acknowledges financial support gained
through a fellowship from the Alexander von
Humboldt and Hertie Foundations (III 2003–XII
2004, I-III 2011). A.K. permanent address:
Institute of Experimental Physics, University of
Wrocław, pl. Maxa Borna 9, 50-204 Wrocław,
Poland. The work reviewed here would have
been impossible without the contribution of my
colleagues. I am particularly grateful to Klaus
Wandelt for many insightful discussions and his
continuing support, which made part of this work
possible. I am furthermore greatly indebted to the
past members of his research group at Bonn
University who have contributed partly to the
results reviewed here, in particular Stefan Degen,
Marko Moors, Marko Kralj and Conrad Becker
for their contributions to studies of aluminum
oxide. I would like to thank all people who
contributed partly with experimental, theoretical
and technical assistance work for metal growth
on Mo(110), in particular Leszek Jurczyszyn,
Krzysztof Kośmider, Barbara Pieczyrak, Adam
Paruszewski, Wojciech Linhart, Dominika
Grodzińska, Izabela Cebula, Zbigniew
Jankowski, Mirosław Karpicki-Antczak, Jakub
Cichos, Sławomir Chomiak and his coworkers.
Finally, I would like also to thank to Katarzyna
Miśków for her contribution to the studies of Pb
on Ni3Al(111) and S. R. C. McMitchell for his
help and very useful discussions during
preparation this topical review.
References
[1] Himpsel F, Ortega J, Mankey G and Willis R
1998 Adv. Phys. 47 511
[2] Larsen J and Chorkendorff I 1999 Surf. Sci.
Rep. 35 163
[3] Kawanowa H, Suzuki J, Mahara Y, Gotom Y
and Souda R 2005 J. Crystal Growth 275
1615
[4] Mikkelsen A, Ouattara L and Lundgren E
2004 Surf. Sci. 557 109
[5] Murphy S, Osing J and Shvets I V 2003 Surf.
Sci. 547 139
[6] Murphy S, Usov V and Shvets I V 2007 Surf.
Journal of Physics: Condensed Matter
28
Sci. 607 5576
[7] Tamori T, Kazanowa H and Gotom Y 2007
Surf. Sci. 601 4412
[8] Jo S and Gotom Y 2000 Surf. Sci. 464 145
[9] Maehara Y, Kazanowa H and Gotom Y 2006
Surf. Sci. 600 3575
[10] Zhou Y G, Zu X T, Nie J L and Ciao H Y
2008 Chem. Phys. 353 109
[11] Katoh A, Miwa H, Maehara Y, Kazanowa H
and Gotom Y 2004 Surf. Sci. 566–568 181
[12] Krupski A 2010 Surf. Sci. 604 1179
[13] Bauer E and Poppa H 1984 Thin Solid Films
121 159
[14] Gotoh Y and Yanokura E 1990 J. Crystal
Growth 99 588
[15] Gotoh Y and Yanokura E 1990 Surf. Sci.
269/270 707
[16] Gotoh Y, Horii A, Kawanowa H, Kamei M,
Yumoto H and Gonda T 1995 J. Crystal
Growth 146 198
[17] Horii A, Kawanowa H, Kamei M, Yumoto
H, Gonda T and Gotoh Y 1996 Crystal Res.
Technol. 31 875
[18] Krupski A 2011 Surf. Sci. 605 424
[19] Rodriguez J A and Kuhn M 1995 Surf. Sci.
330 L657
[20] Krupski A 2011 Surf. Sci. 605 1291
[21] Maehara Y, Kimura T, Kawanowa H and
Gotom Y 2005 J. Crystal Growth 275 1619
[22] Krupski A 2009 Phys. Rev. B 80 0354241
[23] Kośmider K, Krupski A, Jelinek P and
Jurczyszyn L 2009 Phys. Rev. B 80 1154241
[24] Tikhov M and Bauer E 1988 Surf. Sci. 203
423
[25] Jo S, Gotoh Y, Niski T, Mori D and Gonda
T 2000 Surf. Sci. 454-456 729
[26] Gustafson J, Mikkelsen A, Borg M,
Lundgren E, Kohler L, Kresse G, Schmid
M, Varga P, Yuhara J and Torrelles X 2004
Phys. Rev. Lett. 92 126102
[27] Gustafson J, Mikkelsen A, Borg M,
Andersen J N, Lundgren E, Klein C, Hofer
W, Schmid M, Varga P and Kohler L 2005
Phys. Rev. B 71 115442
[28] Campbell C T 2006 Phys. Rev. Lett. 96
066106
[29] Todorova M, Li W X, Ganduglia-Pirovano
M V, Stampfl C, Reuter K and Scheffler M
2002 Phys. Rev. Lett. 89 096103
[30] Radican K, Berdunov N, Manai G and
Shvets I V 2007 Phys. Rev. B 75 1554341
[31] Okada A, Yoshimura M and Ueda K 2007
Surf. Sci. 601 1333
[32] Miśków K and Krupski A 2013 Appl. Surf.
Sci. 273 554
[33] Miśków K, Krupski A and Wandelt K 2014
Vacuum 101 71
[34] Bollmann T R J, Gastel R, Zandvliet H J W
and Poelsema B 2011 New Journal of
Physics 13 103025
[35] Bollmann T R J, Gastel R, Zandvliet H J W
and Poelsema B 2011 Phys. Rev. Lett. 107
136103
[36] Krupski A and Mróz S 2002 Phys. Rev. B 66
035410.
[37] Krupski A 2007 Ann. Chim. Mat. 32 395
[38] Krupski A 2006 phys. stat. sol. (b) 243 467
[39] Hinch B J, Koziol C, Toennies J P and
Zhang G 1989 Europhys. Lett. 10 341
[40] Otero R, Va´zquez de Parga A L and
Miranda R 2002 Phys. Rev. B 66 115401
[41] Slomski B, Landolt G, Muff S, Meier F,
Osterwalder J and Dil J H 2013
arXiv:1306.0245 [cond-mat.mtrl-sci]
[42] Dil H J, Kim J W, Gokhale S, Tallarida M
and Horn K 2004 Phys. Rev. B 70 045405
[43] Kuntova Z, Hupalo M, Chvoj Z and
Tringides M C 2006 Surf. Sci. 600 4765
[44] Budde K, Abram E, Yeh V and Tringides M
C 2000 Phys. Rev. B 61 10602
[45] Menzel A, Kammler M, Conrad E H, Yeh V,
Hupalo M and Tringides M C 2003 Phys.
Rev. B 67 165314
[46] Chan T L, Wang C Z, Hupalo M, Tringides
M C and Ho K M 2006 Phys. Rev. Lett. 96
226102
[47] Binz S M, Hupalo M and Tringides M C
2008 Phys. Rev. B 78 193407
[48] Su W B, Chang S H, Jian W B, Chang C S,
Chen L J and Tsong TT 2001 Phys. Rev.
Lett. 86 5116
[49] Kim J, Qin S, Yao W, Niu Q, Chou M Y and
Shih Ch 2010 PNAS 107 12761
[50] Özer M M, Jia Y, Wu B, Zhang Z and
Weitering H H 2005 Phys. Rev. B 72
113409
[51] Kesaria M, Kumar M, Govind and
Shivaprasad S M 2009 Appl. Surf.Sci. 256
576
[52] Hupalo M and Tringides M C 2007 Phys.
Rev. B 75 235443.
[53] Li M, Wang C Z, Evans J W, Hupalo M,
Tringides M C and Ho K M 2009 Phys. Rev.
B 79 113404
[54] Man K L, Tringides M C, Loy M M T and
Altman M S 2013 Phys. Rev. Lett. 110
036104
Journal of Physics: Condensed Matter
29
[55] Kim J, Zhang Ch, Kim J, Gao H, Chou M Y
and Shih Ch K 2013 Phys. Rev. B 87 245432
[56] Chen J, Hupalo M, Ji M, Wang C Z, Ho K
M and Tringides M C 2008 Phys. Rev. B 77
233302
[57] Evans D A, Alonso M, Cimino R and Horn
K 1993 Phys. Rev. Lett. 70 3483.
[58] Luh D A, Miller T, Paggel J J, Chou M Y
and Chiang T C 2001 Science 292 1131.
[59] Ünal B, Belianinov A, Thiel P A and
Tringides M C 2010 Phys. Rev. B 81 085411
[60] Wu B and Zhang Z 2008 Phys. Rev. B 77
035410
[61] Hong H, Wei C M, Chou M Y, Wu Z, Basile
L, Chen H, Holt M and Chiang T C 2003
Phys. Rev. Lett. 90 076104
[62] Wei C M and Chou M Y 2002 Phys. Rev. B
66 233408
[63] Zhang Z, Niu Q and Shih C K 1998 Phys.
Rev. Lett. 80 5381
[64] Jia Y, Wu B, Weitering H H and Zhang Z
2006 Phys. Rev. B 74 035433
[65] Materzanini G, Saalfrank P and Lindan P J
D 2001 Phys. Rev. B 63 235405
[66] Jaklevic R C, Lambe J, Mikkor M and
Vassell W C 1971 Phys. Rev. Lett. 26 88
[67] Jaklevic R C, Lambe J 1975 Phys. Rev. B 12
4146
[68] Jonker B T, Bartelt N C and Park R L 1983
Surf. Sci. 127 183
[69] Jonker B T and Park R L 1984 Solid State
Commun. 51 871
[70] Iwasaki H, Jonker B T and Park R L 1985
Phys. Rev. B 38 5272
[71] Sheng L Y, Zhang W, Guo J T, Wang Z S,
Ovcharenko V E, Zhou L Z and Ye H Q
2009 Intermetallics 17 572
[72] Stoloff N S, Liu C T and Deevi S C 2000
Intermetallics 8 1313
[73] Morsi K 2001 Materials Sci. and
Engineering A 299 1
[74] Ozdemir O, Zeytin S and Bindal C 2012
Tribology International 53 22
[75] Scheppe F, Sahm P R, Hermann W, Paul U
and Preuhs J 2002 Materials Sci. and
Engineering A 329-331 596
[76] Yeh C L and Sung W Y 2004 Journal of
Alloys Compounds 384 181
[77] ASM 2000 Specialty Handbook: Nickel,
Cobalt, and Their Alloys (#06178G) 92
[78] Sondericker D, Jona F and Marcus P M
1986 Phys. Rev. B 33 900
[79] Sondericker D, Jona F and Marcus P M
1986 Phys. Rev. B 34 6775
[80] Bikonda O, Castro G R, Torrelles X,
Wendler F and Moritz W 2005 Phys. Rev. B
72 195430
[81] Jurczyszyn L, Krupski A, Degen S,
Pieczyrak B, Kralj M, Becker C and
Wandelt K 2007 Phys. Rev. B 76 04510101
[82] Kurnosikov O, Jurczyszyn L, Pieczyrak B
and Krupski A 2008 Surf. Sci. 602 2994
[83] Min B I, Freeman A J and Jansen H J F 1988
Phys. Rev. B 37 6757
[84] Lekka Ch E, Papageorgiou D G and
Evangelakis G A 2003 Surf. Sci. 541 182
[85] Han Y, Unal B and Evans J W 2012 Phys.
Rev. Lett. 108 216101
[86] Ruban A V 2002 Phys. Rev. B 65 174201
[87] Gopal P and Srinivasan S G 2012 Phys. Rev.
B 86 014112
[88] Saadi S, Hinnemann B, Appel Ch C, Helveg
S, Abild-Pedersen F and Norskov J K 2011
Surf. Sci. 605 582
[89] Fatmi M, Ghebouli M A, Ghebouli B, Chihi
T, Boucetta S and Heiba Z K 2011 Rom.
Journ. Phys. 56 935
[90] Boucetta S, Chihi T, Ghebouli B and Fatmi
M 2010 Materials Science-Poland 28 347
[91] Oramus P, Masssobrio, Kozłowski M,
Kozubski R, Pierron-Bohnes V, Cadeville M
C and Pfeiler W 2003 Comput. Mat. Sci. 27
186
[92] Degen S, Krupski A, Kralj M, Langner A,
Becker C, Sokolowski M and Wandelt K
2005 Surf. Sci. 576 L57
[93] Kresse G, Schmid M, Napetschnig E,
Shishkin M, Koehler L and Varga P 2005
Science 308 1440
[94] Stierle A, Renner F, Streitel R, Dosch H,
Drube W and Cowie B C 2004 Science 303
1652
[95] Moors M, Krupski A, Degen S, Kralj M,
Becker C and Wandelt K 2008 Appl. Surf.
Sci. 254 4251
[96] Lehnert A, Krupski A, Degen S, Franke K,
Decker S, Rusponi S, Kralj M, Becker C,
Brune H and Wandelt K 2006 Surf. Sci. 600
1804
[97] Thomas J M and Thomas W J 1997
Principles and Practice of Heterogeneous
Catalysis (Weinheim, VCH)
[98] Wilk D, Wallace R M and Anthony J M
2001 J. Appl. Phys. 89 5243
[99] Tada H, Fujii Y and Matsushige K 1998
Journal of Physics: Condensed Matter
30
Mol. Cryst. Liq. Cryst. 316 371
[100] Newton M I, Starke T K H, McHale G and
Willis M R 2000 Thin Solid Films
360 10
[101] Tada H, Tanimura Y, Fujii Y and
Matsushige K 1999 Mol. Cryst. Liq. Cryst.
327 283
[102] Friend R H, Gymer R W, Holmes A B,
Burroughes J H, Marks R N, Taliani C,
Bradley D D C, Dos Santos D A, Bredas J
L, Löogdlung M and Salaneck W R 1997
Nature 397 121
[103] Clemens W, Fix W, Ficker J, Knobloch A
and Ullmann A 2004 J. Mater. Res. 19
1946
[104] Horowitz G 2004 J. Mater. Res. 19 1924
[105] Kahn A, Koch N and Gao W 2003 J.
Polym. Sci. B 41 2529
[106] Becker C, Rosenhahn A, Wiltner A,
Bergmann K, Schneider J, Pervan P, Milun
M, Kralj M and Wandelt K 2002 New J.
Phys. 4 75
[107] Degen S, Becker C and Wandelt K 2004
Faraday Discuss. 125 343
[108] Gimzewski J K, Stoll E and Schlittler R R
1987 Surf. Sci. 181 267
[109] Lippel P H, Wilson R J, Miller M D, Wöll
C and Chiang S 1989 Phys. Rev. Lett. 62
171
[110] Grand J Y, Kunstmann T, Hoffmann D,
Haas A, Dietsche M, Seifritz J and Möller
R 1996 Surf. Sci. 366 403
[111] Stöhr M, Wagner T, Gabriel M, Weyers B
and Möller R 2001 Adv. Funct. Mater. 11
175
[112] Ludwig C, Stohmaier R, Petersen J, Gompf
B and Eisenmenger W 1994 J. Vac. Sci.
Technol. B 12 1963
[113] Qiu X H, Nazin G V and Ho W 2004 Phys.
Rev. Lett. 92 206102
[114] Campbell C T 1997 Surf. Sci. Rep. 27 1
[115] Henry C R 1998 Surf. Sci. Rep. 31 231
[116] Bäumer M and Freund H J 1999 Prog.
Surf. Sci. 61 127
[117] Chambers S A 2000 Surf. Sci. Rep. 39 105
[118] Santra A K and Goodman D W 2002 J.
Phys.: Condens. Matter 15 R31
[119] Wolf S A, Awschalom D D, Buhrman R A,
Daughton J M, Molnár S, Roukes M L,
Chtchelkanova A Y and Treger D M 2001
Science 294 1488
[120] Ertl G and Freund H J 1999 Physics Today
52 32
[121] Howard J B and Rees D C 1996 Chem.
Rev. 96 2965
[122] Burgess B K and Lowe D J 1996 Chem.
Rev. 96 2983
[123] Hinnemann B and Nørskov J K 2004 J.
Am. Cem. Soc. 126 3920
[124] Sljivancanin Z and Pasquarello A 2005
Phys. Rev. B 71 081403
[125] Plumer M L and Weller J 2001 The Physics
of Ultra-High-Density Magnetic Recording
(Berlin, Springer)
[126] Bader S D 2002 Surf. Sci. 500 172
[127] Sljivancanin Z and Pasquarello A 2003
Phys. Rev. Lett. 90 247202
[128] Billas I M L, Châtelain A and Heer W A
1994 Science 265 1682
[129] Meyer E, Hug H J and Bennewitz R 2004
Scanning Probe Microscopy. The Lab on a
Tip (Springer Berlin)
[130] Besenbacher F 1996 Rep. Prog. Phys. 59
1737
[131] Hofer W A, Foster A S and Shluger A L
2003 Rev. Mod. Phys. 75 1287
[132] Binning G and Rohrer H 1999 Rev. Mod.
Phys. 71 324
[133] Binning G and Rohrer H 1982 Helv. Phys.
Acta 55 726
[134] Binning G, Rohrer H, Gerber Ch and
Weibel E 1983 Phys. Rev. Lett. 50 120
[135] Tersoff J and Hamann D R 1983 Phys. Rev.
Lett. 50 1998
[136] Tersoff J and Hamann D R 1985 Phys. Rev.
B 31 805
[137] Van Hove M A, Weinberg W H and
Ch M 1986 Low-Energy Electron
Diffraction Experiment, Theory and
Surface Structure Determination (Springer
Series in Surface Sciences Volume 6)
[138] Scheithauer U, Meyer G and Henzler M
1986 Surf. Sci. 178 441
[139] Henzler M 1985 Surf. Sci. 152/153 963
[140] Hofmann S 2013 Auger- and X-Ray
Photoelectron Spectroscopy in Materials
Science: A User-Oriented Guide (Springer
Berlin Heidelberg)
[141] Sholl D S and Steckel J A 2009 Density
Functional Theory. A practical
Introduction (John Wiley&Sons, Inc.,
Hoboken, New Jersey)
[142] Kresse G and Hafner J 1993 Phys. Rev. B
47 558
[143] Kresse G and Furthmüller J 1996 Comput.
Mater. Sci. 6 15
[144] Kresse G and Furthmüller J 1996 Phys.
Rev. B 54 11169
[145] Kresse G and Joubert D 1999 Phys. Rev. B
59 1758
Journal of Physics: Condensed Matter
31
[146] Horcas I, Fernández R, Gómez-Rodríguez J
M, Colchero J, Gómez-Herrero J, Baro A
M 2007 Rev. Sci. Instrum. 78 013705
[147] Kittel Ch 1996 Introduction to Solid State
Physics. 7th ed.
[148] Martienssen W and Warlimont H (ed) 2005
Springer Handbook of Condensed Matter
and Materials Data. Part 2. The Elements
(Berlin: Springer)
[149] Kohler B, Ruggerone P and Scheffler M
1997 Phys. Rev. B 56 13503
[150] Methfessel M, Hennig D and Scheffler M
1992 Phys. Rev. B 46 4816
[151] Che J G, Chan C T, Jian W -E and Leung T
C 1998 Phys. Rev. B 57 1875
[152] Kohler B, Ruggerone P, Wilke S and
Scheffler M 1995 Phys. Rev. Lett. 74 1387
[153] Arnold M, Sologub S, Hupfauer G, Bayer
P, Frie W, Hammer L and Heinz K 1997
Surf. Rev. Lett. 4 1291
[154] Sondericker D, Jona F and Marcus P M
1986 Phys. Rev. B 34 6770
[155] Wang C and Wang Ch 2008 Surf. Sci. 602
2604
[156] Jurczyszyn L, Rosenhahn A, Schneider J,
Becker C and Wandelt K 2003 Phys. Rev.
B 68 115425
[157] Krupski A, Degen S, Kralj M, Becker C
and Wandelt K (2004) unpublished results
[158] Schintke S, Messerli S, Pivetta M, Patthey
F, Libioulle L, Stengel M, Vita A and
Schneider W D 2001 Phys. Rev. Lett. 87
276801
[159] Rosenhahn A, Schneider J, Kandler J,
Becker C and Wandelt K 1999 Surf. Sci.
433-435 705
[160] Gallon T E 1969 Surf. Sci. 17 486
[161] Jackson D C, Gallon T E, Chambers A
1973 Surf. Sci. 36 381
[162] Seah M P 1972 Surf. Sci. 32 703
[163] Biberian J B and Somorjai G A 1979 Appl.
Surf. Sci. 2 352
[164] Ossicini S, Memeo R and Ciccacci 1985 J.
Vac. Sci. Technol. A 3(2) 387
[165] Altfeder I B, Matveev K A and Chen D M
1997 Phys. Rev. Lett. 78 2815
[166] Zhou Y G, Zu X T, Nie J L and Xiao H Y
2008 Chem. Phys. 351 19
[167] Sancho M P L 1984 Solid St. Comm. 50
629
[168] Wang Y, Wang W, Fan K N and Deng J
2001 Surf. Sci. 490 125
[169] Mae K 2001 Surf. Sci. 482-485 860
[170] Argile C and Rhead G E 1989 Surf. Sci.
Rep. 10 277
[171] Vitos L, Ruban A V, Skriver H L and
Kollar J 1998 Surf. Sci. 411 186
[172] Tyson W R and Miller W A 1977 Surf. Sci.
62 267
[173] Boer F R, Boom R, Mattens W C M,
Miedma A R and Niessen A K 1988
Cohesion in Metals (North-Holland,
Amsterdam)
[174] Baskes MI 1992 Phys. Rev. B 46 2727
[175] Sellers M S, Schultz A J, Basaran C and
Kofke D A 2010 Appl. Surf. Sci. 256 4402
[176] Jiang Q, Lu H M and Zhao M 2004 J.
Phys.: Condens. Matter 16 521
[177] Chen S P, Srolovitz D J and Voter A F
1989 J. Mater. Res. 4 62
[178] Kuznetsov V M, Kadyrov R I and
Rudenskii G E 1998 J. Mater. Sci. Technol.
14 320
[179] Kim Y S, Lee S M and Song J Y 2010
Appl. Surf. Sci. 256 3603
[180] Mehl M J and Papaconstantopoulos D A
1996 Phys. Rev. B 54 4519
[181] Malzbender J, Przybylski M, Giergiel J and
Kirschner J 1998 Surf. Sci. 414 187
[182] Gruzza B and Gillet E 1980 Thin Solid
Films 68 345
[183] Pavlovska A, Paunov M and Bauer E 1985
Thin Solid Films 126 129
[184] Payne S H, Kreuzer H J, Pavlovska A and
Bauer E 1996 Surf. Sci. 345 L1
[185] Liu S, Bonig L and Metiu H 1997 Surf. Sci.
Lett. 392 L56
[186] Yoon B, Akulin V M, Cahuzac Ph, Carlier
F, Frutos M, Masson A, Mory C, Colliex C
and C. Brechignac C 1999 Surf. Sci. 443 76
[187] Bales G S and Chrzan D C 1994 Phys. Rev.
B 50 6057
[188] Tomellini M and Fanfoni M 1996 Surf. Sci.
349 L191
[189] Perez M, Dumont M and Acevedo-Reyes A
2008 Acta Materialia 56 2119
[190] Zuo J K, Wendelken J F, Durr H and Liu C
L 1994 Phys. Rev. Lett. 72 3064
[191] Chen L H, Chen C Y and Lee Y L 1999
Surf. Sci. 429 150
[192] Bartelt M C and Evans J W 1993 Surf. Sci.
298 421
[193] Park C, Bauer E and Popa H 1985 Surf. Sci.
154 371
[194] Green A K , Prigge S and Bauer E 1978
Thin Solid Films 52 163
[195] Biberian J 1978 Surf. Sci. 74 437
Journal of Physics: Condensed Matter
32
[196] Frank F C and Van der Merwe J H 1949
Proc. R. Soc. A 198 216
[197] Van der Merwe J H 1963 Appl. Phys. 34
123
[198] Matthews J W and Blakeslee A E 1974 J.
Cryst. Growth 27 118
[199] Matthews J W 1975 J. Vac. Sci. Technol.
12 126
[200] Brune H 1998 Surf. Sci. Rep. 31 121
[201] Krupski A (2006) unpublished results
[202] Ayuela A, Ogando E and Zabala N 2007
Phys. Rev. B 75 153403
[203] Özer M M, Jia Y, Zhang Z, Thompson J R
and Weitering H H 2007 Science 316 1594
[204] Jia Y, Wang S Y, Chen W G, sun Q,
Weitering H H and Zhang Z 2010 Phys.
Rev. B 81 245425
[205] Bardi U, Atrei A and Rovida G 1990 Surf.
Sci. 239 L511
[206] Bardi U, Atrei A and Rovida G 1992 Surf.
Sci. 268 87
[207] Rosenhahn A, Schneider J, Becker C and
Wandelt K 2000 J. Vac. Sci. Technol. A 18
1923
[208] Gritschneder S, Becker C, Wandelt K and
Reichling M 2007 J. Am. Chem. Soc. 129
4925
[209] Hamm G, Barth C, Becker C, Wandelt K
and Henry C R 2006 Phys. Rev. Lett. 97
126106
[210] Andersson S, Brühwiler P, Sandell A,
Frank M, Libuda J, Giertz A, Brena B,
Maxwell A, Bäumer M and Freund H 1999
Surf. Sci. 442 L964
[211] Maroutian T, Degen S, Becker C, Wandelt
K and Berndt R 2003 Phys. Rev. B 68
155414
[212] Wiltner A, Rosenhahn A, Schneider J,
Becker C, Pervan P, Milun M, Kralj M and
Wandelt K 2001 Thin Solid Films 400 71
[213] Becker C, Bergmann K, Rosenhahn A,
Schneider J and Wandelt K 2000 Surf. Sci.
486 443
[214] Rosenhahn A 2000 Ph.D. Thesis,
University of Bonn
[215] Hlawacek G and Teichert Ch 2013 J.
Phys.: Condens. Matter 25 1432002
[216] Li D, Peng Z, Deng L, Shen Y and Zhou Y
2005 Vib. Spec. 39 191
[217] Hoshino A, Takenake Y and Miyaji H 2003
Acta Crystallogr. B 59 393
[218] Brown C J 1968 J. Chem. Soc. A 2488
[219] Liao M S and Scheiner S 2001 J. Chem.
Phys. 114 9780
[220] Sharp J H and Abkowitz M 1972 J. Phys.
Chem. 77 477
[221] Sautet P and Joachim C 1992 Surf. Sci. 271
387
[222] Krupski A, Moors M, Degen S, Kralj M,
Becker C and Wandelt K (2005)
unpublished results
[223] Persaud R and Madey T E (eds. King D A
and Wooodruff D P) 1997 The Chemical
Physics of Solid Surfaces and
Heterogeneous Catalysts (Elsevier,
Amsterdam) 407
[224] Henry C R 1997 Cryst. Res. Technol. 33
1119
[225] Cambell C T Surf. Sci. Rep. 27 1
[226] Baumer M and Freund H J 1999 Prog.
Surf. Sci. 61 127
[227] Cosandey F and Madey T E 2001 Surf.
Rev. Lett. 8 73
[228] Gavioli L, Cavaliere E, Agnoli S, Barcaro
G, Fortunelli A and Granozzi G 2011 Prog.
Surf. Sci. 86 59
[229] Adamson A W 1990 Physical Chemistry of
Surfaces (New York, Wiley)
[230] Chatain D, Coudurier L and
Eustathopoulos N 1988 Rev. Phys. Appl. 23
1055
[231] Chatain D, Rivollet I and Eustathopoulos N
1986 J. Chim. Phys. 83 561
[232] Rusponi S, Cren T, Weiss N, Epple M,
Buluschek P, Claude L and Brune H 2003
Nat. Mater. 2 546
[233] Castro M 1997 Int. J. Quantum Chem. 64
223