On factors affecting the extraction of elastic modulus by
nanoindentation of organic polymer films
F.Iacopi
1
, M.Laknin
2
, A.Mulloy
3
, J.M.J.den Toonder
4
, D.Vanhaeren
1
, S.H.Brongersma
1
1
IMEC, Kapeldreef 75, B-3001 Leuven, Belgium;
2
Faculté des Sciences et Techniques, Université d’Aix et Marseille, France
3
Materials Science Dept., Trinity College, Dublin, Ireland
4
Philips Research Laboratories, Prof. Holstlaan 4, 5656 AA Eindhoven, The Netherlands
ABSTRACT
A detailed study of nanoindentation in Continuous Stiffness Mode (CSM) on a family of
aromatic thermosetting polymers is carried out to identify the causes for the large variability in
the extracted values of the elastic modulus of organic polymer films.
It is shown that the variation of parameters determining the dynamics of the force application
such as the CSM frequency, the actual strain or load rate, and the duration of the waiting time
segments can lead up to 20% difference in the estimated elastic modulus. The reason for this is
related to creep, more specifically to viscoelastic behaviour, typical of organic films. On the other
hand, pile-up is shown to have a negligible effect on the extraction of the elastic modulus from
indentation depths below 50% of the film thickness, even for films with hardness as low as
0.13GPa. It is also concluded that neither pile-up nor creep phenomena can account for the
overestimation of the elastic modulus with nanoindentation as compared to the values extracted
with the surface acoustic waves technique.
INTRODUCTION
The determination of elastic modulus E by nanoindentation on thin and soft supported films is
in general a challenging task due to the difficulty in decoupling the elastic response of the film
itself from the influence of the stiff substrate [1]. A commonly accepted rule is to extract the
modulus from a shallow region, i.e. indent depths of less than 10% of the total film thickness.
Moreover, the precision in the determination of the surface position is an additional critical issue
for a correct extraction of the elastic modulus from thin films [2]. This all leads to a significant
scattering among the E values extracted by nanoindentation on the same thin soft films,
depending on the tool used, on measurement conditions and the way the data is analyzed [3]. The
nature of organic polymer materials introduces further complexity in the nanoindentation
response and hence further variability among elastic modulus values that can be extracted from
the same film sample. The additional complexity is given by a large extent of plastic deformation
of polymers during indentation with a sharp tip, leading to material pile-up around the tip and
thus possible underestimation of the actual film-tip contact area [1, 4]. Moreover, polymers are
known to exhibit a time-dependent compliance or creep [5], which can lead to rate effects upon
loading and thus again affect the extraction of the elastic modulus [6]. The scope of this work is
to achieve a better insight in the critical parameters that have to be taken into account when
performing nanoindentation for E extraction on polymer films. Another goal is to assess whether
a set of ‘optimal measurement conditions’ can be defined to standardize the modulus extraction
on such type of films.
EXPERIMENTAL DETAILS
A family of low-molecular weight aromatic thermosetting polymers, developed for low-k
dielectrics application in microelectronics [7], was chosen as test material. In particular, three
types of film were used, as shown in Table 1: the OP1_0% and OP1_20% are prepared with the
same matrix material with 0% and 20% subtractive porosity [8], respectively. The OP2_20%,
with 20% subtractive porosity, is synthesized with a similar chemistry but its matrix material has
R5.2.1 Mater. Res. Soc. Symp. Proc. Vol. 841 © 2005 Materials Research Society