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Methodology of polymer/metal interface characterization by adapted EDX profiling in a pressure controlled SEM C. Arnoult 1 , C. Sperandio 1 , A. Laachachi 1 , D. Ruch 1 and J. Di Martino 1 1 AMS, Department of Advanced Materials and Structures, CRP Henri Tudor, 66 rue de Luxembourg, BP 144, L-4002 Esch sur Alzette, Luxembourg The aim of this paper is to present an innovative approach to study polymer/metal composite interface by EDX profiling in a PC-FEG-SEM, applied to the case of epoxy/aluminum joint. It is divided into two parts. The first part focuses on general considerations on the EDX profile in a PC-SEM. It begins with presenting the impact of technique artifacts on the shape of the profile such as the „pear effect“ contribution. Then the influence of the introduced gas in the PC-SEM on the profile analysis is discussed. The second part presents the experimental approach that has been specifically developed for our kind of samples. It presents the preliminary study dedicated to the characterization of the impact of the polymer degradation on the analysis and how the optimum acquisition parameters are consequently defined. Then the data accuracy in term of statistical precision is verified. An original experimental strategy is proposed to improve accuracy or at least to circumvent a lack of accuracy. Finally, the presence of (inter) diffusion profile and the diffusion lengths are estimated. This innovative methodology promotes the use of the PC-SEM in the field of polymer/metal interfaces investigation, allowing obtaining an optimized EDX profile and thus a more accurate characterization of modern composite materials. Keywords Pressure controlled scanning electron microscopy, profiling, Energy dispersive X rays spectrometry, Interface, Diffusion, Adhesive joint, Polymer/metal 1. Introduction Macroscopic properties of multi-composites materials are, to a large extent, directly linked to the microscopic characteristics of the interfacial regions. In numerous cases, a third material, also called interphase, appears at the interface because of (inter) diffusion phenomena. The properties of this interphase determine all the interface properties and consequently the whole system behavior. The accurate characterization of this specific area has a great importance for applications such as structural adhesive, joining, composite manufacturing... Electron microprobe technique such as energy dispersive X-rays spectrometry profiling (EDX profiling) in scanning electron microscopy (SEM) is a well know and widely used method of interface characterization for metal and ceramic composites [1-2]. It allows to characterize the variation of the chemical composition at the interface, and thus the diffusion phenomenon, at very large scale with a good accuracy and reproducibility. However EDX in SEM is rarely used for the characterization of interface in the field of polymer composite for many reasons. First, technique artifact such as the “pear” effect has to be taken into account [3]. This pear effect induces a deformation of the profile that can be very limiting for the diffusion phenomenon characterization. It can’t be ignored, especially for the very small diffusion lengths and when the pear is large (as it is for polymers). In addition, the insulating nature of the polymers imposes a pre treatment with a conductive coating on its surface to avoid the charging effect. But each conductive coating, even carbon coating, induces artifacts such as mask effect by absorption of the low energetic X rays and/or modulation of the signal when a perfect thickness homogeneity of the coating is not respected. At low voltage i.e. when the incident electron range is smaller, coating artifacts can be very critical. In addition, polymers are electron irradiation sensitive materials. Thus, during SEM analysis, degradation can occur and dramatically modify the results. This strongly limits the time of analysis and the possibility to use high energy and high current probe [4-6]. Currently, novel possibilities of analysis and characterization are offered by two recent innovations in the field of the scanning electron microscopy: Field emission gun (FEG)-SEM and pressure controlled SEM (PC-SEM). The FEG- SEM allows to work at low energy and low current with good emission stability and smaller probe size [7-8]. This particularity of the FEG gun enables consequently to make EDX analysis with a sufficient stability of signal at low voltage which was not the case with previous SEM generations. As for, the PC-SEM, finds a great advantage on the elimination of the charge accumulation at the sample surface thanks to partial ionization of a gas introduced inside the chamber. It is then possible to analyze an insulating sample directly without conductive coating. Unfortunately the gas affects the incident beam. Several studies relate the electron beam scattering, also called “skirt”, and its effect on the SEM and EDX analysis [9-11]. The aim of this paper is to present the innovative approach developed for the study of polymer/metal composite interface by EDX profiling in a PC-FEG-SEM applied to epoxy resin/aluminum joint [12]. It is composed of two parts. The first part is focused on general considerations on the EDX profile in a PC-SEM. It begins with the impact on the shape of the profile of the technique artifacts such as the pear effect contribution. Then the influence of the introduced gas in the PC-SEM is discussed. The second part deals with the experimental approach, specifically developed for Microscopy: Science, Technology, Applications and Education A. Méndez-Vilas and J. Díaz (Eds.) ©FORMATEX 2010 1211 ______________________________________________

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Methodology of polymer/metal interface characterization by adapted

EDX profiling in a pressure controlled SEM

C. Arnoult1, C. Sperandio

1, A. Laachachi

1, D. Ruch

1 and J. Di Martino

1

1 AMS, Department of Advanced Materials and Structures, CRP Henri Tudor, 66 rue de Luxembourg, BP 144, L-4002

Esch sur Alzette, Luxembourg

The aim of this paper is to present an innovative approach to study polymer/metal composite interface by EDX profiling in

a PC-FEG-SEM, applied to the case of epoxy/aluminum joint. It is divided into two parts. The first part focuses on general

considerations on the EDX profile in a PC-SEM. It begins with presenting the impact of technique artifacts on the shape of

the profile such as the „pear effect“ contribution. Then the influence of the introduced gas in the PC-SEM on the profile

analysis is discussed. The second part presents the experimental approach that has been specifically developed for our kind

of samples. It presents the preliminary study dedicated to the characterization of the impact of the polymer degradation on

the analysis and how the optimum acquisition parameters are consequently defined. Then the data accuracy in term of

statistical precision is verified. An original experimental strategy is proposed to improve accuracy or at least to circumvent

a lack of accuracy. Finally, the presence of (inter) diffusion profile and the diffusion lengths are estimated. This innovative

methodology promotes the use of the PC-SEM in the field of polymer/metal interfaces investigation, allowing obtaining an

optimized EDX profile and thus a more accurate characterization of modern composite materials.

Keywords Pressure controlled scanning electron microscopy, profiling, Energy dispersive X rays spectrometry, Interface,

Diffusion, Adhesive joint, Polymer/metal

1. Introduction

Macroscopic properties of multi-composites materials are, to a large extent, directly linked to the microscopic

characteristics of the interfacial regions. In numerous cases, a third material, also called interphase, appears at the

interface because of (inter) diffusion phenomena. The properties of this interphase determine all the interface properties

and consequently the whole system behavior. The accurate characterization of this specific area has a great importance

for applications such as structural adhesive, joining, composite manufacturing... Electron microprobe technique such as

energy dispersive X-rays spectrometry profiling (EDX profiling) in scanning electron microscopy (SEM) is a well know

and widely used method of interface characterization for metal and ceramic composites [1-2]. It allows to characterize

the variation of the chemical composition at the interface, and thus the diffusion phenomenon, at very large scale with a

good accuracy and reproducibility.

However EDX in SEM is rarely used for the characterization of interface in the field of polymer composite for many

reasons. First, technique artifact such as the “pear” effect has to be taken into account [3]. This pear effect induces a

deformation of the profile that can be very limiting for the diffusion phenomenon characterization. It can’t be ignored,

especially for the very small diffusion lengths and when the pear is large (as it is for polymers). In addition, the

insulating nature of the polymers imposes a pre treatment with a conductive coating on its surface to avoid the charging

effect. But each conductive coating, even carbon coating, induces artifacts such as mask effect by absorption of the low

energetic X rays and/or modulation of the signal when a perfect thickness homogeneity of the coating is not respected.

At low voltage i.e. when the incident electron range is smaller, coating artifacts can be very critical. In addition,

polymers are electron irradiation sensitive materials. Thus, during SEM analysis, degradation can occur and

dramatically modify the results. This strongly limits the time of analysis and the possibility to use high energy and high

current probe [4-6].

Currently, novel possibilities of analysis and characterization are offered by two recent innovations in the field of the

scanning electron microscopy: Field emission gun (FEG)-SEM and pressure controlled SEM (PC-SEM). The FEG-

SEM allows to work at low energy and low current with good emission stability and smaller probe size [7-8]. This

particularity of the FEG gun enables consequently to make EDX analysis with a sufficient stability of signal at low

voltage which was not the case with previous SEM generations. As for, the PC-SEM, finds a great advantage on the

elimination of the charge accumulation at the sample surface thanks to partial ionization of a gas introduced inside the

chamber. It is then possible to analyze an insulating sample directly without conductive coating. Unfortunately the gas

affects the incident beam. Several studies relate the electron beam scattering, also called “skirt”, and its effect on the

SEM and EDX analysis [9-11].

The aim of this paper is to present the innovative approach developed for the study of polymer/metal composite

interface by EDX profiling in a PC-FEG-SEM applied to epoxy resin/aluminum joint [12]. It is composed of two parts.

The first part is focused on general considerations on the EDX profile in a PC-SEM. It begins with the impact on the

shape of the profile of the technique artifacts such as the pear effect contribution. Then the influence of the introduced

gas in the PC-SEM is discussed. The second part deals with the experimental approach, specifically developed for

Microscopy: Science, Technology, Applications and Education A. Méndez-Vilas and J. Díaz (Eds.)

©FORMATEX 2010 1211

______________________________________________

polymer/metal composite studies. It presents the preliminary study dedicated to the characterization of the impact of the

polymer degradation on the analysis and how the optimum acquisition parameters are consequently defined. Then the

data accuracy in term of statistical precision is verified. An original experimental strategy is proposed to improve

accuracy or at least to circumvent a lack of accuracy. Finally, the presence of (inter) diffusion profile and the diffusion

lengths are estimated. This methodology promotes the use of EDX profiling in a PC-SEM in the field of the

polymer/metal interfaces characterization for modern composite materials.

2. General consideration on the EDX profiles in PC-SEM applied to the case of

epoxy/Al interface analysis

2.1 Impact of the pear effect on the EDX profile

The pear effect takes place for every SEM analysis. Most of the time it is not taken into account because it’s impact on

EDX profiles analysis is negligible. But in the case of polymer composites study and/or in the case of small diffusion

length, the “pear effect” can have a strong impact on the EDX profile analysis and precautions on the interpretation

have to be taken.

When the incident electron beam reaches the sample surface, electrons interact with the atoms of the material and

diffuse inside a volume called “pear of diffusion”. To evaluate the pear dimension and consequently the volume of

emission of a given signal, several softwares are available to model the electron trajectories inside the materials. Fig 1a

presents the pear shape at different location during the aluminum/resin interface crossing (in the case of interface

without diffusion phenomenon).

Fig.1: a) Casino V2.42 simulation of the trajectories of the incident electron (blue) and backscattered electrons (red).

b) Casino V2.42 simulated AlK profile.

During EDX profile, it is clear that just before the interface crossing, a part of the pear of diffusion begins to probe

the epoxy resin whereas the incident beam is still located on the Al. Inversely, after crossing the interface, the pear is

still probing the Al side whereas the beam is fully located on the resin. Close to the interface, this volume effect directly

impacts on the EDX profile.

The Fig. 1b presents the corresponding simulated profile. Instead of having a perfect step shape profile at the

interface, the EDX real profile presents a deformed shape which is an asymmetric sigmoid like shape. It induces

uncertainty on the localization of the interface. This uncertainty is 1.2 µm in the example given in Fig. 1a. This distance

of uncertainty is directly linked to the size of the pears and consequently depends on the materials and the incident

beam energy. It should be evaluated routinely as it can attain some micrometers for such polymer composite system.

Furthermore, for the case of diffusion phenomenon study, this sigmoid shape brings a contribution that is

superimposed to the diffusion profile. It is especially critical in cases of short diffusion length are involved i.e. diffusion

length of the same order of magnitude than the deformation induced by the pear effect.

Before profile interpretation, it is thus necessary to:

- Evaluate the pear profile either by simulation or by acquiring an experimental profile with a reference sample,

i.e. sample that present an interface without diffusion.

b) a)

Microscopy: Science, Technology, Applications and Education A. Méndez-Vilas and J. Díaz (Eds.)

1212 ©FORMATEX 2010

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- Compare it to the experimental profiles to discriminate the contribution of the pear profile to the diffusion

profile.

4.2 Impact of the low vacuum mode

The great interest of the PC-SEM is to work with a gas inside the chamber. Thanks to partial ionization of this gas by

interactions with the incident electron beam, all charges (electron) that are accumulating on the insulating sample

surface are neutralized. No pre treatment of the surface with conductive coating is anymore necessary to get ride of the

charging effect.

But unfortunately, these gas interactions also trigger a modification of the probe characteristic. Indeed, a part of the

incident electron undergoes scattering interactions. The incident beam in pressure-controlled mode is then composed of

two parts, the non-scattered electrons and the scattered part, also called skirt:

- The non-scattered part keeps the geometric and energetic characteristics of the initial incident beam. The only

modification is a decrease of its current (compared to classical high vacuum mode).

- Concerning the skirt, many studies are in progress to characterize its geometry, its current density and energy

distribution. Nowadays no general description of the skirt distributions exists. It is usually considered more or

less as a cone centered on the non-scattered beam with its own current density and energy repartition [9-11].

One can easily consider that, as proposed on the Fig. 2, the skirt induces a modification of the EDX profile. It

induces a supplementary contribution to the profile with a sigmoid type shape that is superimposed to the diffusion

profile and the pear effect profile.

This contribution, called the “skirt” profile, is quite important as show in previous studies [9-12] and cannot be

neglected. But currently, no specific method is available to simulate the impact of the low vacuum effect on the EDX

profile. It is necessary to evaluate it experimentally by means of a reference sample i.e. sample with an interface

without diffusion.

In summary, to study diffusion phenomenon at a composite polymer/metal interface by EDX profiling in a PC-SEM,

it is necessary to:

- Evaluate the contribution of the pear effect and the skirt on the profile shape. This can only be done

experimentally by acquiring a profile from a reference sample (interface without diffusion) with exactly the

same experimental condition of the samples to be evaluated.

- Use this profile as the reference before any conclusion.

3. Experimental procedure

3.1 Materials

The epoxy resin is composed of diglycidyl ether of bisphenol A type (DGEBA) with diethylentriamine (DETA) as

curing agent. Aluminum substrate is a commercial 1024 alloy sheet of 1.5 mm thickness with a purity of 99.5%. Before

use, aluminum was systematically degreased by acetone in an ultrasonic bath.

Two specimens are considered for the present study. The first one is made of an interface Al/Epoxy resin without any

diffusion phenomena. It is composed of two rectangular pieces, one of Al and the other of epoxy resin that has been

crosslinked separately. The lateral sides of each piece are then mirror polished and assembled to form the “pure”

interface. It will be called sample 1. The second sample, sample 2, is obtained by crosslinking the epoxy resin at the

surface of an Al sheet, in order to show an interphase i.e. Al diffusion within resin.

The cross sections of each sample are then mirror polished to allow proper EDX analysis of their resin/aluminum

interface.

Incident beam

Al resin

Fig.2: Schema of the skirt effect on the EDX profile

Microscopy: Science, Technology, Applications and Education A. Méndez-Vilas and J. Díaz (Eds.)

©FORMATEX 2010 1213

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Analyses are done with an EDAX GENESIS XM 4i Energy Dispersive X-ray Spectrometer (EDX) mounted on a FEI

QUANTA FEG 200 Environmental Scanning Electron Microscope (ESEM). The gas in chamber is water vapor. A

pressure limiting aperture (PLA) cone is used to reduce the widening of the electron beam induced by the incident

electron-gas molecule interaction (skirt effect).

3.2 Preliminary choice of the experimental parameters

As the final objective is to characterize Al diffusion inside epoxy resin at the interface, parameters are chosen in order

to optimize the AlK signal:

The incident electron energy is fixed at 6 keV. At this energy, the aluminum X-rays emission efficiency is maximal:

the ratio between the AlK characteristic X rays and the background (Bremsstralung) is at its maximal value.

To avoid charging effects due to the insulating nature of the epoxy resin, two strategies are considered: either

conductive coating deposition or the use of the environmental mode of the PC-SEM. A conductive coating, even carbon

coating, can induce artifacts especially in low voltage conditions used for polymer studies. The use of the environmental

mode is then preferred. Water vapor pressure is fixed to 150 Pa, which is here the minimal value that efficiently

eliminates the charging effects.

Profiles are acquired along a line of 250 µm starting in the Al at 50 µm before the interface, and finishing on the

epoxy resin. The amplification should be as high as possible in order to enable the analysis of a maximal number of X

rays photon in a minimal time. (Note that this is usually recommended for profile or mapping analyses.) Here, as the

AlK line is free of other X-rays lines superposition, an amplification time of 6.4 µs is used.

The maximal beam current value is deduced experimentally in order to have a maximum number of count per second

without saturating the EDX detector (dead time of 30%).

The last two parameters are the acquisition time per point and the distance between two consecutive points of the

profile. Their optimization is the core of the methodology and is detailed hereafter.

3.3 Polymer degradation investigation: EDX parameter optimization

Polymer degradation under electronic irradiation is a phenomenon that occurs during SEM analysis. It can greatly

modify the results of the analysis. If its impact is not taken into account, measurement and interpretation can be

completely wrong. Here the epoxy resin is sensitive to electron irradiation. Therefore, its degradation during the

profiling can affect the X ray signal of aluminum at the interface. The objective here is to define the upper limit where

the epoxy resin degradation begins to induce a modification of the EDX signal.

Polymer degradation is directly linked to absorbed energy. Consequently it is proportional to the electron irradiation

and the volume inside which the incident electrons diffuse. The incident electron diffusion volume and absorbed energy

distribution can be evaluated by using a Monte Carlo simulation (e.g. Casino V2.42 software). In the case of epoxy

resin, with an incident beam of 6 keV, the diffusion volume is around 1.8 µm of diameter. The distance between two

points of analysis should then be superior to 1.8 µm to avoid multiple irradiation of a same volume. However the spatial

resolution would then be too limited. Fortunately, the diffusion volume corresponding to 90% of the incident energy is

only around 900 nm of diameter. It is then acceptable to define a step size of 1 µm as the better compromise between

profile resolution and multiple irradiations.

Fig.3 presents a topographic view in secondary electron contrast of the epoxy resin after EDX profiles at different

locations and different acquisition times per point.

Fig. 3 : Topographic view of the surface of the epoxy resin after EDX profile at different locations and different acquisition times

per point.

Microscopy: Science, Technology, Applications and Education A. Méndez-Vilas and J. Díaz (Eds.)

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A trace is observable for each acquisition time. For the longest time (10 s/point), this trace is quite deep. Resin

degradation is important. On the zoom on the top right corner of the picture, holes are observed showing that the

degradation of the resin is so important that it induces sample destruction. For acquisition time shorter than 2s per

point,. But a trace is still observed even if neither hole nor visible topographic modification of the surface is observed.

Electronic irradiation damage does inevitably accompany the EDX profiles measurements. It is then necessary to

quantify the impact of the resin degradation on the EDX profiles results. To this aim, the evolution of the X rays signals

for each acquisition time is investigated. Theoretically, the number of X-ray photons of a given element is proportional

to the acquisition time. Consequently, if no damage occurs, this has to be verified for the CK number of counts.

In the Fig. 4, the experimental average CK number of counts per point versus the acquisition time is reported (square

points). The plain line is the proportional theoretical evolution in the case where no degradation occurs.

This proportionality condition is not respected for acquisition times longer than 1 s/point: the experimental number of

counts is lower than expected. The X rays signal loss is the consequence of some degradation of the epoxy resin. For the

following part of the study, the acquisition time is then fixed at 1 s/point.

The experimental conditions of the profile acquisition are now defined. One has now to focus on the verification of

the accuracy of the EDX results. Indeed, even if this is usually neglected, it is of great interest to work on data precision

by the means of some statistical precision considerations.

3.3 Statistical precision investigation: verification of the data accuracy

The X-rays number of counts, N, have a natural uncertainty that comes from the X-rays photons counting. This

uncertainty is assimilated to the statistic precision ± N , as the X-rays photons’ counting follows a Poisson law. This

is true for each kind of analysis, i.e. mapping, profiling or quantitative analysis. To determine if a signal variation

between two points arises from a significant variation of the composition instead of the natural variation of counting,

the signal variation must be superior to sum of the uncertainties [13].

In our case, as each profile is acquired under exactly the same experimental conditions, it is possible to compare

point to point the profiles obtained for different samples. For two samples, A and B, at a point i located exactly at the

same distance from the interface, iAN and

iBN are the experimental number of count respectively for the sample A and

B, and AiN ,

iBN their respective uncertainty.

If Ai

Bi

Ai

Bi NNNN +≥− (1)

then the variation of the signal between the points A and B corresponds to a variation of composition.

As variation of count and variation of composition can be directly linked, variation can be simply evaluated (in %)

as:

( ) iA

iA

iB N*NN(%) 100−=∆ (2)

This enables to define the minimal variation of composition that can be detected between two points. In this case, the

eq. (1) is

Ai

Bi

Ai

Bi NNNN +≈−

with iA

iA

iB NNN ≈+= ε

and the eq. (3) gives an good approximation of the minimal variation of composition that is detectable:

Fig. 4: CK average value versus acquisition time (square),

The plain line is the proportional theoretical evolution in

the case where no degradation occurs.

Microscopy: Science, Technology, Applications and Education A. Méndez-Vilas and J. Díaz (Eds.)

©FORMATEX 2010 1215

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iA

iA

min N*N*(%) 1002

≅∆ (3)

Table 1 presents some experimental values of AlK numbers of counts, the statistic precision and the minimal

detectable variation (for the sample 2). Verification is done for the whole profile but data are not presented here as we

focus on the few firsts micrometers close to the interface i.e. where the diffusion may occur.

Al Epoxy resin

Distance to the interface [µµµµm] 1 2 3 4 5

NAl (experimental) 1862 1623 1419 1290 1226

AlN 43 40 38 36 35

(%)min∆ 4.6 5.0 5.4 5.6 5.8

Table 1: AlK numbers of counts, statistic precision and relative error that have been performed for sample 2. Interface is located at 0

µm

That is to say, for a given distance from the interface (for example 1 µm), the difference between the measured Al

content for two different samples has to be bigger than (%)min∆ (4.6% at 1µm) to be linked to a difference of

composition without ambiguity. Note that this is only true for profiles obtained from different sample but in exactly in

the same experimental condition.

However, the diffusion phenomenon at the polymer interface is not bigger than a few percent [14]. It is then

necessary to improve the precision of the data. The usual strategy is to increase the acquisition time and so the number

N per point. But from the polymer degradation study (Cf § 3.2), we have shown that it is not possible in our case. So a

by-pass method has to be used: the “stacked profiling”.

3.4 Experimental strategy of profile accuracy improvement: stacked profiling

The by-pass method consists in improving the total number of counts without increasing the experimental acquisition

time. For each sample, a series of EDX profiles is acquired with the experimental parameter defined before. They are

taken perpendicularly to the Al/resin interface with a distance of 3µm between them (Fig. 5)

Profile are then summed point by point: lines are “stacked” and assimilated to a simple line with a higher number of

counts per point.

With six-stacked lines, the minimal variation of composition that can be detected is under 2 %. That is sufficient for

the present study, but the method can be extended if needed.

Al resin

50 µm

3 µm

Fig 5: Schematic representation of the “stack” strategy

Microscopy: Science, Technology, Applications and Education A. Méndez-Vilas and J. Díaz (Eds.)

1216 ©FORMATEX 2010

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3.5 Data treatment and results

Fig.6 presents normalized typical profiles obtained by EDX for the two samples of this paper: without diffusion (sample

1), with diffusion (sample 2).

Fig. 6: a) Normalized profiles obtained for the sample 1 (without diffusion) and sample 2 (with diffusion), b) Zoom at the interface

area

In these figures it is clear that diffusion took place on the few firsts microns after the interface. The sigmoid shape is

enlarged. The area under the curve is increased by 7.81% (calculated with the trapezoidal method), the slope decreases

by 11% (calculated form the derivative method). The length between maximal and minimal values of AlK counts is

larger. It is close to 2 µm for the sample 1 (that corresponds to the EDX profile resolution) and increases to around 7

µm for the sample 2. This value of 7µm can be considered as the diffusion length of our system but in the limit of

detection calculated in §3.4 (2%).

4. Conclusion

To characterize a polymer/aluminum interphase, i.e. the diffusion phenomenon at epoxy/aluminum interface, it is

possible to efficiently use EDX profiling with a PC-SEM, provided that a specific approach is used.

First, the study has to be performed by comparison with a reference sample, without interphase. This requirement is a

direct consequence of intrinsic characteristics of the PC-SEM technique: pear effect and skirt of the incident beam.

Second, the experimental procedure has to be adapted to the specificity of the samples:

- The study of the impact of the polymer degradation on the EDX profile has to be performed in order to determine the

maximum acquisition time and spatial resolution and fix the experimental parameter such as acquisition time,

- The data accuracy has to be verified by checking of the statistical precision, to define the minimal variation of Al

content that can be detected

- If the data accuracy has to be improved, improved results can be obtained by the means of stacked profiles.

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