Upload
a-gonzalez
View
212
Download
0
Embed Size (px)
Citation preview
Miscibility and carbon dioxide transport properties of
poly(3-hydroxybutyrate) (iPHB) and its blends with different copolymers
of styrene and vinyl phenol
A. Gonzalez*,1, M. Iriarte, P.J. Iriondo2, J.J. Iruin
Polymer Science and Technology Department and Institute for Polymer Materials (POLYMAT), University of the Basque Country, P.O. Box 1072,
20080 San Sebastian, Spain
Received 18 August 2003; received in revised form 23 March 2004; accepted 30 March 2004
Abstract
This work summarizes the miscibility and transport properties of different polymer blends obtained by mixing a bacterial, isotactic poly(3-
hydroxybutyrate) (iPHB) with copolymers of styrene and vinyl phenol (Sty-co-VPh copolymers). Given that iPHB and pure commodity
poly(styrene) (PS) form immiscible blends, PS has been modified by copolymerizing it with vinyl phenol (VPh) units, in an attempt to
promote blend miscibility. VPh units have appropriate functional groups that interact with iPHB ester moieties. The potential miscibility was
investigated by differential scanning calorimetry (DSC) measuring the glass transition temperatures of blends of different compositions. As
an additional test, the interaction parameter between the two components, using the iPHB melting point depression caused by the second
component, was also measured. Copolymers containing less than 90% styrene showed miscibility with iPHB.
Given the remarkable barrier properties of iPHB to gases and vapours, the study has been completed by measuring transport properties of
carbon dioxide through different iPHB/Sty-co-VPh copolymer blends, using gravimetric sorptions in a Cahn electrobalance. A clear
difference was observed between the behaviour of rubbery blends and those that exhibit a glassy behaviour at the selected experimental
temperature (303 K).
q 2004 Elsevier Ltd. All rights reserved.
Keywords: Poly(3-hydroxybutyrate); Miscible blends; Transport properties
1. Introduction
High molecular weight poly(hydroxyalkanoates) (PHA)
are synthesized and stored in the cell cytoplasm (as water-
insoluble inclusions) by several microorganisms [1]. They
are naturally biodegradable polyesters. Isotactic poly(3-
hydroxybutyrate) (iPHB) is the most important member of
this family. It contains repeating units of R-3HB (3-
hydroxybutyric acid) and serves as an intracellular reserve
for carbon and energy in bacteria. It is a very crystalline
polymer (55–80% crystallinity) with a melting temperature
around 449 K and a glass transition temperature close to
277 K.
In response to an increased awareness of global
environmental problems, iPHB has gained serious attention
as a potential substitute for non-biodegradable polymers.
iPHB has also attracted attention because of its high barrier
properties to gases and vapours. On the other hand,
mechanical properties like the Young’s modulus and the
tensile strength of iPHB are close to those of isotactic
poly(propylene) (iPP), although the extension to break is
clearly lower than that of iPP. This biodegradable PHA has
other poor physical properties like stiffness and brittleness.
An important work has been carried out in order to know the
reasons of these inadequate properties [2–5]. It is now
recognised that its high crystallinity degree is behind of this
behaviour. Moreover, its low thermal stability near the
melting point causes problems during the processing of the
material.
Many attempts have been made in order to improve the
stability and mechanical properties of iPHB. For instance,
with the help of genetic engineering techniques, HB can be
0032-3861/$ - see front matter q 2004 Elsevier Ltd. All rights reserved.
doi:10.1016/j.polymer.2004.03.105
Polymer 45 (2004) 4139–4147
www.elsevier.com/locate/polymer
1 On leave from the Chemical Engineering Faculty. Universidad de
Oriente, Santiago de Cuba (Cuba).2 Present address: Tuboplast Hispania. 01510 Minano, Alava (Spain).
* Corresponding author. Tel.: þ34-943-018192; fax: þ34-943-212236.
E-mail address: [email protected] (A. Gonzalez).
copolymerized with various hydroxyalkanoate monomers
and other monomers as a way to regulate and to improve
various of the physical properties above mentioned. These
new iPHB copolymers can be potential candidates for
further commercial exploitation.
As another way to improve and regulate the physical
properties of iPHB, polymer blends with different second
components have been investigated. Given that physical
properties may be tailored changing the composition of a
miscible polymer blend, miscibilities and phase behaviour
of different iPHB-based blends have been evaluated
extensively. For instance, iPHB miscible blends have been
obtained with poly(ethylene oxide) (PEO) [6–9], poly(epi-
chlorohydrin) (PECH) [10], atactic poly(3-hydroxybuty-
rate) (aPHB) [11–14], poly(acrylonitrile-co-vinylidene
chloride) (AN-co-VCD) [15–17], with a copolymer of
epichlorohydrin and ethylene oxide (ECH-co-EO) [18,19],
poly(vinyl alcohol) (PVOH) [20,21], poly(vinyl phenol)
(PVPh) [22,23] and other second components.
On the other hand, mixtures of iPHB with poly(b-
propiolactone) [24,25], poly(ethylene adipate) [24], poly
(butylene adipate) [26], poly(1-caprolactone) [26] and
polystyrene [27] are all immiscible.
The aim of this paper is to obtain iPHB miscible blends
by modifying polystyrene with the inclusion of vinyl phenol
units. The possibility of increasing the miscibility between
the resulting copolymer and iPHB seems reasonable, given
the existence of hydrogen bonds between vinyl phenol and
HB units, as it has been previously reported [23]. It can be
supposed that this type of specific polymer–polymer
interactions will mainly govern the phase behaviour of
these iPHB/Sty-co-VPh blends.
Taking into account these premises, the miscibility of
different copolymers of styrene and vinylphenol with iPHB
has been determined by thermal analysis (glass transitions
and melting point depression). Due to the potential use of
these biodegradable polymers in packaging applications,
specially derived from the adequate barrier properties of
pure iPHB, the transport properties of an atmospheric gas
(CO2) through the above-mentioned blends have been also
measured.
2. Experimental
2.1. Materials
Bacterial iPHB was obtained from Biomer, Germany. Its
melting temperature TM was near 450 K and the glass
transition temperature ðTgÞ was in the vicinity of 275 K.
The average molecular weights were �Mn ¼ 220; 000 �
g=mol and �Mw ¼ 374; 000 g=mol (referred to polystyrene
calibration standards), as determined by SEC/GPC at 303 K
using chloroform as solvent. However, it is necessary to
report that the Biomer iPHB is not completely soluble in
chloroform, a different behaviour to that exhibited by other
iPHBs, like the one commercialized by Aldrich. Such
differences could arise from the different natural origins of
the samples. Because of the partial solubility of the Biomer
sample, it was necessary to filter the samples before
introducing them in the SEC chromatograph. Consequently,
the results here reported must be taken with caution.
Different copolymers of styrene and vinylphenol were
synthesized by solution free radical copolymerization of
appropriate mixtures of styrene and acetoxystyrene. The
preparation of these copolymers has been reported [28] in
the literature, and requires the use of a protective group. It is
necessary to choose carefully the protective group in order
to ensure that the deprotection can be achieved quantitat-
ively and without occurrence of undesirable reactions.
Many authors have demonstrated that the acetyl protection
group can be removed under mild conditions using
hydrazine hydrate. Details of the synthesis and the
characterization of the copolymers have been reported
elsewhere [28,29].
Copolymers with different molar compositions of VPh
were characterized by 13C NMR (Varian 200 spectrometer).
The results are shown in Table 1 together with the
corresponding glass transition temperatures measured by
DSC and molecular weight averages determined by SEC/
GPC. All the copolymers are in the glassy state at room
temperature and their real compositions are similar to those
of the original (nominal) feed in the copolymerization. This
is due to the value of the product of the copolymerization
reactivity ratios of the two comonomers, close to the unity.
2.2. Blend preparation
iPHB and copolymers with different compositions in
styrene monomer (50, 60, 70, 80 and 90%) were premixed
in the desired concentrations (50, 60, 70, 80, 90 and
100% w/w iPHB), by a solution/precipitation method, using
epichlorohydrine at reflux as solvent and cold hexane as
precipitant. They were repeatedly washed with n-hexane in
order to eliminate epichlorohydrin. After being kept under a
UV lamp for 24 h, the samples were stored for 4 days under
vacuum and 373 K in order to remove the precipitant. The
process was followed by a compression moulding process in
a Graseby Specac hot press at 458 K for 2 min under a
pressure of 2 T/m2. After this process, the mould was
transferred to the cooling system attached to the press in
order to allow iPHB crystallization. The blend films were
stored for other 4 days under vacuum and 373 K for removal
of the residual traces of precipitant. Finally, they were
stored under vacuum and room temperature until thermal or
sorption experiments were performed.
3. Methods
Thermal analysis was performed in a Perkin–Elmer
DSC-2 apparatus, with a TADS Data Station. Melting point
A. Gonzalez et al. / Polymer 45 (2004) 4139–41474140
temperatures and crystallinities of the films were deter-
mined during a first scan from 250 to 473 K at 20 K/min.
After 1 min at this temperature, the samples were quenched
down to 250 K at 320 K/min. A second scan, in identical
conditions to the first one, was performed in order to
determine the glass transition temperature.
Transport properties of carbon dioxide through the
different investigated films were measured by a sorption
gravimetric method based on a Cahn D-200 electrobalance
enclosed in a thermostated chamber at 303 K. After hanging
up a polymer film into the balance sorption chamber, it was
evacuated overnight. Carbon dioxide was then admitted in
the balance at different pressures below atmospheric
pressure, and the weight change of the sample was recorded.
The sorption curves were corrected by subtracting a blank
run, obtained under the same conditions but without sample.
They were also corrected in terms of the buoyancy effect.
Densities of the samples used in sorption experiments
were measured at 296 K in a density gradient column
containing aqueous solutions of sodium bromide. They were
estimated with an accuracy of ^0.0007 g/cm3.
The required thickness of the different films ð‘Þ was
measured by a Duo Check gauge with an accuracy of 1 mm.
4. Results and discussion
4.1. Thermal analysis
A thermal characterization of the different polymer
blends was undertaken as a macroscopic evaluation of the
miscibility between the blend components. Their glass
transition temperatures and melting points were determined
by DSC. The values obtained for iPHB/Sty-co-VPh (90:10)
mixtures at different compositions of iPHB in the blend are
resumed in Table 2. Crystallinities are referred to the iPHB
content of the samples in order to quantify the effect of the
presence of the amorphous component (the copolymer) in
the iPHB crystallinity.
As it can be seen, only one Tg was detected for each
blend composition. Although this is generally associated to
a miscible behaviour of the blends, these Tg values are very
similar to that of pure iPHB. It seems that, even at
concentrations such as 50/50, the second Tg value,
corresponding to the copolymer rich phase, has not been
detected. The overlapping of this transition with the melting
peak of iPHB and the low Dcp value associated to the
copolymer glass transition are presumably in the origin of
the difficulties in detecting it. An additional proof of the
blend immiscibility is that no iPHB melting point
depression was observed. Moreover, iPHB crystallized
practically in the same extent with independence of the
copolymer content. In Fig. 1 thermograms corresponding to
different compositions of blends of iPHB with the 90:10
Sty-co-VPh copolymer are shown. The final conclusion is
that the inclusion of only 10% of VPh is not enough to
provide the desired miscibility with iPHB.
The situation was completely different when the relative
amount of VPh in the copolymer was progressively
increased. In all cases a single glass transition temperature
was observed, intermediate between those of the two
components of each blend (see Tables 3–6). Simul-
taneously, melting point diminishes with increasing the
copolymer content in the blend. The third parameter
evidencing miscibility is the crystallinity degree that
becomes progressively smaller (from 66.8 to 32.5%,
referred to iPHB mass), with the copolymer content. So,
in these blends iPHB does not crystallizes in a similar extent
to that in the pure state (the opposite behaviour to that of the
occurring in the immiscible mixtures with the 90:10
copolymer). It can be finally concluded that copolymers of
styrene and vinyl phenol starting from 20% of vinyl phenol
are miscible with iPHB.
The melting point depression has been usually employed
in characterizing the miscibility of semicrystalline/amor-
phous polymer blends. From this depression it is possible to
determine the polymer–polymer Flory–Huggins inter-
action parameter ðx12Þ and the related interaction energy
density ðBÞ:
The interaction parameter was calculated by applying the
Table 1
Sty-co-VPh copolymer characterization by DSC, NMR and SEC/GPC
Nominal mole % Sty-co-VPh Tg (K) (DSC) Real styrene mol% (NMR) �Mn (SEC/GPC) �Mw (SEC/GPC) IP
50:50 417 50.4 17,300 36,100 2.1
60:40 411 59.0 14,400 46,800 3.2
70:30 399 70.2 39,600 74,400 1.9
80:30 392 80.1 31,000 60,600 1.9
90:10 383 89.4 37,500 70,900 1.9
100:0 373 — — — —
Table 2
Thermal characterization of iPHB and its blends with a Sty-co-VPh 90:10
copolymer
% iPHB in the blend Crystallinity degree
(% referred to iPHB)
Tg
(K)
TM
(K)
100 63.7 277 446
90 63.6 278 446
70 64.8 278 443
50 60.0 278 445
A. Gonzalez et al. / Polymer 45 (2004) 4139–4147 4141
Nishi–Wang treatment [30], according to the following
expression:
1
TM
¼1
T0M
2R
DHu
V2
V1
� �x12f
21
� �ð1Þ
where TM and T0M are the melting temperatures of the
crystallizable polymer in the blend and in the pure state,
respectively. DHu is the enthalpy of fusion of the 100% pure
crystalline material per mole of repeating units (that can be
known by extrapolating data of semicrystalline samples), V1
and V2 are the molar volumes of the repeating units of the
amorphous and the semicrystalline polymers and f1 is the
volume fraction of the uncrystallizable component.
From and adequate plot of the data (1=TM vs. f21) the
interaction parameter between both components of the
blend can be calculated. Fig. 2 shows the well-known
Nishi–Wang plot corresponding to a 70:30 copolymer.
Similar plots were obtained with the rest of the copolymers
and are not presented by simplicity, although can be
obtained from the data of Tables 3–6. From the slope of the
different plots, the x12 parameters were calculated for each
copolymer with iPHB. In this analysis the following values
were employed: V2 ¼ 68:03 cm3=mol [31], T0M ¼ 443 K and
DHu ¼ 12:50 kJ=mol [32].
As it can be seen in Table 7 all values are negative,
including that corresponding to the 90:10 copolymer (an
immiscible system), although the value for this system is
close to zero with a standard deviation of the same order
than the reported value. For the rest of the mixtures we
cannot conclude a clear dependence with the copolymer
composition. Although the inclusion of more VPh units in
the copolymer could be considered as a way to increase the
strength of the interactions in the mixtures, styrene units
between vinylphenol groups can be necessary in order to
favour the mobility and accessibility of the interacting units.
These two effects could compete and be in the origin of the
erratic behaviour of the interaction parameter.
The interaction energy density, B is a different form to
Fig. 1. Thermograms corresponding to different blends of iPHB with a 90:10 Sty-co-VPh copolymer.
Table 3
Thermal characterization of iPHB and its blends with a copolymer Sty-co-
VPh 80:20
% iPHB in the blend Crystallinity degree
(% referred to iPHB)
Tg
(K)
TM
(K)
100 66.8 277 446
90 67.4 284 438
80 63.5 293 435
70 55.9 305 431
60 32.5 315 429
Table 4
Thermal characterization of iPHB and its blends with a copolymer Sty-co-
VPh 70:30
% iPHB in the blend Crystallinity degree
(% referred to iPHB)
Tg
(K)
TM
(K)
100 66.8 277 446
90 69.1 284 439
80 63.2 297 434
70 55.6 307 427
60 54.2 319 423
A. Gonzalez et al. / Polymer 45 (2004) 4139–41474142
express the Flory–Huggins interaction parameter,
B ¼RTx12
Vr
ð2Þ
eliminating the use of a reference volume Vr implicit in the
definition of the interaction parameter. This reference
volume is usually defined in terms of the molar volume of
the amorphous component of the mixture, V1. B values are
given in J/cm3, allowing an easier comparison of inter-
actions between different functional groups. The molar
volumes of the different copolymers have been calculated
supposing that the volume of the copolymer unit can be
calculated in an additive way. We have used the following
relationships for the specific volumes of the comonomers:
vPS ¼ 1=ð1:0865 2 0:000619 TÞ
ln vPVPh ¼ 20:2757 þ 1:73 £ 1025T3=2
with T in K [29].
An average value of B ¼ 232 (^8) J/cm3 was finally
obtained as representative of the four miscible iPHB/copo-
lymer pairs. The value is lower than that reported by
Martuscelli et al. [22] for iPHB/PVPh system ðB ¼ 250 �
J=cm3Þ: This could be a normal behaviour if the miscibility is
supposed to be only generated by the number of specific
interactions occurring between the iPHB carbonyl and the
hydroxyls of the VPh unit. However, as previously
mentioned, the situation can be something more compli-
cated. For instance, recent literature [33] contains data of a
very similar system, constituted by blends of poly(1-
caprolactone) (PCL) and copolymers of styrene and
vinylphenol. In this case, there is an optimum vinyl phenol
content in the copolymer to have the most favourable trend
to form miscible blend with PCL. This behaviour has been
interpreted in terms of the Painter and Coleman Association
Model [34].
4.2. Carbon dioxide sorption measurements
The sorption kinetics recorded in the Cahn electroba-
lance for pure iPHB and its blends with the copolymers
(Sty-co-VPh, from 90 to 50% Sty) are very similar to that
shown in Fig. 3. The weight gained by the sample ðMtÞ tends
to an asymptotic value, M1, the final equilibrium weight of
gas dissolved in the polymer film. This value can be used to
calculate the concentration of the gas (measured in standard
conditions) per volume unit of the polymer, C; using the
following equation:
C ¼22414M1rF
MgpmF
ð3Þ
where mF (mg) is the mass of the film exposed to the
penetrant, rF (g/cm3) is the density of the polymer film and
Mgp the molecular weight of the permeant (44 g/mol in the
CO2 case).
In order to proceed with the adequate data treatment
explained below, densities and thicknesses of the samples
are required. The thicknesses of the films were between 35
and 45 mm, except in the case of the pure copolymers,
where films of 200–300 mm were used due to the problems
in preparing the films. The densities varied from 1.22 to
1.05 g/cm3, approximately, when the amount of copolymer
in the blends increased.
Table 5
Thermal characterization of iPHB and its blends with a copolymer Sty-co-
VPh 60:40
% iPHB in the blend Crystallinity degree
(% referred to iPHB)
Tg
(K)
TM
(K)
100 66.8 277 446
90 71.1 285 436
80 66.2 297 434
70 62.9 308 433
60 43.5 318 428
Table 6
Thermal characterization of iPHB and its blends with a copolymer Sty-co-
VPh 50:50
% iPHB in the blend Crystallinity degree
(% referred to iPHB)
Tg
(K)
TM
(K)
100 66.8 277 446
90 72.7 289 432
80 62.1 299 433
70 57.3 310 427
60 42.7 322 422
Fig. 2. Inverse melting temperature vs. square of the amorphous phase
fraction in blends of iPHB with a 70:30 Sty-co-VPh copolymer.
Table 7
Interaction parameters in iPHB / Sty-co-VPh blends as a function of the
copolymer composition
Sty-co-VPh (mol%) x12
90:10 20.1 ^ 0.1
80:20 20.7 ^ 0.1
70:30 21.3 ^ 0.2
60:40 20.7 ^ 0.2
50:50 21.0 ^ 0.3
A. Gonzalez et al. / Polymer 45 (2004) 4139–4147 4143
Sorption isotherms are obtained by plotting values of C
against the applied pressure p. In Fig. 4 isotherms obtained
for iPHB pure, and for its blends with two different
copolymers are shown. We have selected only three systems
in order to show the different behaviour when the system is
at the glassy or the elastomeric state.
The equilibrium concentration ðCÞ of the gas dissolved in
a polymer is a pressure function. At every pressure, a
solubility coefficient ðSÞ is usually defined as:
S ¼C
pð4Þ
In some cases, S is a constant over an extended range of
pressures. This is the well-known Henry’s law behaviour
that is followed, for example, by the pure iPHB samples,
mainly due to the rubbery character of its amorphous phase.
In these cases the solubility coefficient and the Henry’s law
constant are identical.
The other two isotherms correspond to two different
compositions of blends of iPHB with the 50:50 copolymer.
When the composition is 90:10 (B) the blend is rubbery at
303 K and the isotherm looks practically linear (Henry’s
law behaviour). However, when the composition is 70:30
(A), the blend is in the glassy state and the isotherm deviates
slightly from linearity. This non-linearity implies that the
solubility coefficient is pressure dependent, a common
occurrence in glassy polymers. This dependence is usually
explained in terms of the so-called dual mode sorption
model, where a Langmuir sorption term is added to the
Henry’s sorption one.
In this paper, our main objective was to study changes in
the transport properties of iPHB in the vicinity of the
atmospheric pressure when it is mixed with different Sty-co-
VPh copolymers. In order to compare the transport proper-
ties between different blends we have used a constant
pressure (0.5 bars) and we have calculated the solubility
coefficient as the ratio between C and p (see Eq. (4)).
Because of the differences in the physical state of the
samples (rubbery or glassy) S is not really a constant
coefficient like the one obtained from a Henry’s law
behaviour, but it allows to compare different blends.
Moreover, at these low pressures, the deviation from the
Henry’s law is not very important.
Data of solubility coefficients corresponding to all
investigated miscible systems at this intermediate pressure
are summarized in Table 8. Each column corresponds to
Fig. 3. CO2 sorption curve for a 90:10 blend of iPHB with an 70:30
copolymer of Sty-co-VPh, at 303 K and 0.5 bar.
Fig. 4. Sorption isotherms of different blends at 303 K. A: 70.30 blend (glassy) of iPHB and Sty-co-VPh 50:50 copolymer. B: 90.10 blend (elastomeric) of
iPHB and Sty-co-VPh 50.50 copolymer. C: Pure iPHB.
A. Gonzalez et al. / Polymer 45 (2004) 4139–41474144
solubility coefficients of mixtures of iPHB with a copolymer
of a given composition.
The addition of a 10% of the different copolymers to
iPHB provokes a decrease in the solubility when the
copolymer is rich in VPh unities (50 and 60%), solubility
that progressively increases when the amount of styrene
units increases. For this first composition in the cases of
copolymers having 70 and 80% styrene and for the rest of
the compositions, solubility is always higher that that of the
pure iPHB, probably due to the fact that the copolymer
addition decreases the crystallinity of the samples and the
solubility takes place basically at the amorphous phase.
In general, there is an inflexion point at the third row of
the table. It must be taken into account that the first two rows
of the table correspond to rubbery samples whereas the
other three correspond to glassy mixtures. In these glassy
compositions, their sorption behaviour should be better
explained in terms of the dual sorption model.
Diffusion coefficients ðDÞ for these systems can be
obtained from an adequate use of the following equation:
Mt
M1
¼ 1 28
p2
X1n¼0
1
ð2n þ 1Þ2exp
2Dð2n þ 1Þ2p2
‘2t
!ð5Þ
where the amount of the diffusant, Mt, taken up by the
polymer sheet in a time, t; is related [35,36] to M1,
previously defined, ‘, the film thickness and D; the diffusion
coefficient (in cm2/s). This equation can be obtained by
solving the differential equation corresponding to the
second Fick’s law after considering the same concentration
at both faces of the film (instantaneously established) and
without taking into account the effects of diffusion at the
edges of the film. Eq. (5) converges rapidly for long times
and it can be rewritten approximately (taking into account
only the first term of the summatory) by:
ln 1 2Mt
M1
� �¼ ln
8
p2
� �2
Dp2
‘2
!t ð6Þ
The diffusion coefficient D can be calculated from the
slope of an adequate plot of the sorption data. The values
obtained for the different blends with the different
investigated copolymers are shown in Table 9.
Due to the markedly larger values of the diffusion
coefficients of the different Sty-co-VPh copolymers, the
diffusion coefficients of the different blends tend to increase
when the copolymer content increases. In all columns, D
decreases in going from the second row to the third one.
Once again, the change from rubbery samples to glassy
samples could be in the origin of such change. Although we
have more amorphous material in the blend in the third and
fourth rows than in the previous one, the mobility of the
glassy chains decreases and D becomes smaller.
In some cases, the trends followed by a specific row or
column seem to be certainly erratic, probably due to the
small values of the weight gain during the sorption
experiments, which introduce important errors in the
application of the long-time approximation to calculate D.
Apart from changes between rubbery and glassy regimes,
other different factors must be taken into account. The
different evolution of the crystallinity with the composition
of the blends could affect the evolution of D. On the other
hand, increasing VPh content in the copolymer should
increase the interactions between the components of the
blend. These interactions could affect D in different ways.
They could increase the packing between polymer chains
obstructing diffusion of the penetrant. Or they could reduce
the crystallinity of the blend, improving the diffusive
process.
From a technological point of view, the use of the
permeability coefficient ðPÞ is much more used to
characterize the transport properties of a polymer film,
given that it is a measure of the barrier protection offered by
the polymer. In the case of atmospheric gases, this
permeability coefficient can be written as the product of
the diffusion coefficient D and the solubility coefficient S :
P ¼ DS ð7Þ
Since diffusion coefficient may be concentration depen-
dent and Henry’s law may not apply, the permeability of a
polymer is, in general, not a fundamental property.
In obtaining Eq. (7), it is necessary to assume that the
equilibrium at the polymer gas interfaces has been reached
and that the Fick’s first law is obeyed. It is also necessary to
assume both the steady state and a downstream pressure and
a gas concentration substantially lower than the upstream
pressure and gas concentration.
In a similar way to the last mentioned properties (D and
S), there is a clear frontier between rubbery and glassy states
(see Table 10). Taking into account this change, the
Table 8
Solubility coefficients (in cm3 STP/cm3 cm Hg) for iPHB/Sty-co-VPh
miscible mixtures at 303 K and 0.5 bar. S (iPHB) ¼ 0.0114
cm3STP/cm3 cm Hg
% iPHB (w/w) S (50:50) S (60:40) S (70:30) S (80:20)
90 0.0077 0.0081 0.0126 0.0252
80 0.0428 0.0428 0.0429 0.0380
70 0.0152 0.0308 0.0209 0.0350
60 0.0289 0.0221 0.0499 0.0426
0 0.0415 0.0491 0.0287 0.0240
Table 9
Diffusion coefficients (in cm2/s) for different miscible blends of iPHB with
Sty-co-VPh copolymers
% iPHB
(w/w)
D £ 109
(50:50)
D £ 109
(60:40)
D £ 109
(70:30)
D £ 109
(80:20)
90 1.4 1.8 2.1 1.6
80 1.7 1.6 1.6 2.1
70 1.0 1.4 1.1 1.1
60 1.8 2.2 3.6 5.3
0 14.5 11.2 18.7 24.4
T ¼ 303 K and p ¼ 0:5 bar. D (iPHB) ¼ 1.2 £ 1029 cm2/s.
A. Gonzalez et al. / Polymer 45 (2004) 4139–4147 4145
observed trend in P with increasing copolymer amount in
the blend tends to reach the value corresponding to pure
copolymer in each case. Looking at the change with the
styrene amount in each copolymer, the behaviour is not so
clear, probably as a consequence of the erratic behaviour on
D and on S. In all cases the value obtained for different
transport parameters are in the same order to those
corresponding to barrier materials frequently used in the
market.
5. Conclusions
Blends prepared by mixing iPHB and different copoly-
mers of styrene and vinylphenol are miscible starting from
20% of styrene in the copolymer. These blends show a
single glass transition intermediate between those of the two
components of the blend. The inclusion of VPh units only in
10% in the copolymer is not enough to provoke the
miscibility between iPHB and the modified polystyrene.
Using the melting point depressions observed in the studied
miscible systems the interaction parameter has been
calculated. It does not show a clear dependence with the
VPh content in the copolymer, giving and average value of
20.9. The corresponding interaction energy density has
been 232 J/cm3. These values are in good agreement with
data recently reported [22] for a similar system.
The solubility, diffusivity and permeability of carbon
dioxide have been determined for iPHB blends containing
up to 60% STY-co-VPh copolymers and varying the styrene
copolymer composition from 80 to 50%. The addition of the
different copolymers provokes irregular effects both on S
and D, because there are many effects that can overlap each
other. For instance, the incorporation of the copolymer
increases the amorphous content of the system, but also
increases the glass transition temperature of the system, and
we are comparing glassy and rubbery systems. In general,
the permeability of the blend always increases with
increasing the copolymer content. The behaviour with the
styrene content of the copolymer is more erratic and it
seems that several effects have to be taken into account.
Although P increases with the addition of different
copolymers, the behaviour is very similar in comparing
different copolymers. In all cases the P values are adequate
for their use as packaging material.
According to the results, it can be concluded that it is not
necessary to increase VPh content in the copolymer more
than 20 or 30% in order to obtain blends with transport
properties not very far from those of pure iPHB. In fact, the
transport properties do not change too much from one
copolymer to other one. The melting point depression is also
similar in using the different copolymers, the most
important factor in changing it being the blend composition
and not the copolymer composition.
Acknowledgements
Financial support of the University of the Basque
Country (project 203.215-13519/2001) and MCYT (project
MAT98/0530) is gratefully acknowledged. A.G. thanks the
AECI for a PhD grant.
References
[1] Sudesh K, Abe H, Doi Y. Prog Polym Sci 2000;25:1503.
[2] Barham PJ, Keller AJ. Polym Sci B: Polym Phys Ed 1986;24:69.
[3] Martinez-Salazar J, Sanchez-Cuesta M, Barham PJ, Keller A. J Mater
Sci Lett 1989;8:490.
[4] Barham PJ, Barker P, Organ SJ. FEMS Microbiol Rev 1992;103:289.
[5] De Koning GJM, Lemstra PJ. Polymer 1993;34:4089.
[6] Avella M, Martuscelli E. Polymer 1988;29:1731.
[7] Avella M, Greco P, Martuscelli E. Polymer 1991;32:1647.
[8] Avella M, Martuscelli E, Raimo M. Polymer 1993;34:3234.
[9] Kumagai Y, Doi Y. Polym Degrad Stab 1992;35:87.
[10] Miguel O. PhD Thesis. San Sebastian, Spain: University of the Basque
Country; 1999.
[11] Kumagai Y. Makromol Chem Rapid Commun 1992;13:179.
[12] Pearce R, Jescucason J, Orts W, Marchessault RH, Bloembergen S.
Polymer 1992;33:4647.
[13] Pearce R, Marchessault RH. Polymer 1994;35:3990.
[14] Abe H, Doi Y, Satkowski NN, Noda I. Macromolecules 1994;27:50.
[15] Finelli L, Sarti B, Scandola M. J Mater Sci Pure Appl Chem 1997;
A34:13.
[16] Jeong Chang L, Nakajima K, Ikehara T, Nishi T. J Polym Sci, Part B:
Polym Phys 1997;35:2645.
[17] Gonzalez A, Iriarte M, Iriondo PJ, Iruin JJ. Polymer 2002;43:6205.
[18] Zhang LL, Goh SH, Lee SY, Hee GR. Polymer 2000;41:1429.
[19] Gonzalez A, Iriarte M, Iriondo PJ, Iruin JJ. Polymer 2003;44:7701.
[20] Azuma Y, Yoshie N, Sakurai M, Inoue Y. Polymer 1992;33:4763.
[21] Yoshie N, Azuma Y, Sakurai M, Inoue Y. J Appl Polym Sci 1995;56:
17.
[22] Xing P, Dong L, An Y, Feng Z, Avella M, Martuscelli E.
Macromolecules 1997;30:2726.
[23] Iriondo PJ, Iruin JJ, Fernandez-Berridi MJ. Polymer 1995;36:3235.
[24] Kumagai Y, Doi Y. Polym Degrad Stab 1992;37:243.
[25] Cao A, Asakawa N, Yoshie N, Inoue Y. Polym J 1998;30:743.
[26] Kumagai Y, Doi Y. Polym Degrad Stab 1992;36:241.
[27] Felisberti MI. de Lucca Freitas LL. Polymer Preprints 1990;31:1441.
[28] Arshady R, Kenner GW. J Polym Sci, Part A: Polym Chem 1974;12:
2017.
[29] Gonzalez A. PhD Thesis. San Sebastian, Spain: University of the
Basque Country; 2002.
[30] Nishi T, Wang TT. Macromolecules 1975;8:909.
Table 10
Permeability coefficients for different miscible blends of iPHB with Sty-co-
VPh copolymers, at 303 K and 0.5 bar. P (iPHB) ¼ 0.13 Barrer
%iPHB w/w P
(Barrer)
(cop 50:50)
P
(Barrer)
(cop 60:40)
P
(Barrer)
(cop 70:30)
P
(Barrer)
(cop 80:20)
90 0.11 0.14 0.27 0.40
80 0.72 0.70 0.70 0.81
70 0.16 0.44 0.23 0.39
60 0.49 1.49 1.80 2.27
0 6.62 5.50 5.37 5.86
A. Gonzalez et al. / Polymer 45 (2004) 4139–41474146
[31] Abraham PJ, Seller A, Otum EL, Holmes PA. J Mater Sci 1984;19:
2781.
[32] Sanchez-Cuesta M, Martinez SJ, Barker PA, Abraham PJ. J Mater Sci
1992;23:5335.
[33] Kuo SW, Chang FCh. Polymer 2001;42:9843.
[34] Coleman MM, Painter PC, Graf JF. Specific interactions and the
miscibility of polymer blends. Lancaster, PA: Technomic Publishing
Inc; 1990.
[35] Crank J, Park GS. Diffusion in polymers. London: Academic Press;
1968.
[36] Crank J. The Mathematics of diffusion, 2nd ed. Oxford: Clarendon
Press; 1975.
A. Gonzalez et al. / Polymer 45 (2004) 4139–4147 4147