Calorimetric evidence of asymmetry in the nucleation of CuMg
2
in CuÕMg multilayers
M. Gonzalez-Silveira and M. T. Clavaguera-Mora
Departamento de Fı ´sica, Grup de Fı ´sica de Materials I, Universitat Auto `noma de Barcelona, 08193 Bellaterra, Spain
F. Pi
Departamento de Fı ´sica, Grup O
`
ptica, Universitat Auto `noma de Barcelona, 08193 Bellaterra, Spain
J. Rodriguez-Viejo*
Departamento de Fı ´sica, Grup de Fı ´sica de Materials I, Universitat Auto `noma de Barcelona, 08193 Bellaterra, Spain
Received 21 October 2003; revised manuscript received 22 December 2003; published 29 March 2004
We report the observation of temperature-dependent nucleation and lateral growth behavior of the interme-
diate product phase CuMg
2
in Cu/Mg multilayers depending if the interface is Mg on Cu or Cu on Mg. The
addition of an intermediate Fe layer inhibiting CuMg
2
nucleation on one of the Cu/Mg interfaces demonstrates
the important role of the nature of the interface on the nucleation events of the intermediate phase. This
unexpected behavior is related to the mode of growth of the thin films. A kinetic model with independent
nucleation and lateral growth stages at each interface is used to fit the calorimetric curves.
DOI: 10.1103/PhysRevB.69.113411 PACS numbers: 68.65.Ac, 68.60.Dv, 68.35.Ct
Intermetallic compounds formed by solid-state reactions
in thin-film or multilayer systems are of fundamental impor-
tance in a number of applications such as heat and corrosion
resistant coatings, and metallization layers in microelectronic
devices or in magnetic devices. The knowledge of the inter-
face structures or the intermediate phases that form upon
heat treatment either at low or high temperature and the ki-
netics and thermodynamics involved in such processes are
therefore of interest to the scientific community. Differential
scanning calorimetry DSC is particularly suited for such
analysis because it maps the temporal evolution of the sys-
tem being sensitive to processes activated at different tem-
peratures. However, despite the important number of works
devoted to the analysis of intermetallic formation in multi-
layers systems,
1–4
the understanding of the effects of inter-
faces on the nucleation of intermediate compounds is still
incomplete, due in part to the large number of parameters
that may influence the nucleation process. It has been previ-
ously shown that the product phase can nucleate either at the
A / B interface
5
or heterogeneously at triple points with grain
boundaries
6,7
or inside grain boundaries,
2
followed in all
cases by lateral growth until coalescence of the nuclei. Pre-
vious studies by Thompson and co-workers
8
have also
shown that the nucleation behavior at an amorphous-Si/V
interface is different from that at a crystalline interface. The
influence of oxygen at the interface has also been considered
by Ma et al.,
7
who reported variations in the nucleation and
lateral growth of Al
3
Ni due to the presence of interfacial
impurities, such as oxygen. Several works have already ad-
dressed the issue of asymmetry of the different interfaces
depending if they are A on B or B on A type. In particular,
recent measurements on Al/transition-metal thin films by
Buchanan et al.
9
show the intermixing lengths are remark-
ably different depending if the film sequence is Al on X or X
on Al. Similar results have been also observed by Bigault
et al.
10
in Ni/Au multilayers, by Luo et al.
11
in NiFe/Cu mul-
tilayers, or by Gupta et al.
12
in Fe/Ag multilayers. Asymme-
try of interface roughness has also been reported in several
multilayer systems such as Mo/Si.
13
The origin of this differ-
ence in roughness is typically related to the microstructure of
the films which might be different for layer A or B depending
on the deposition conditions and the nature of the film itself.
For instance, it may be expected that if the polycrystalline
film shows a zone-2-type microstructure, its lower and upper
parts may exhibit significant variations with respect to the
density of high-angle grain boundaries reaching the inter-
face. However, to our knowledge no evidence of nucleation
dependence on the type of interface, A on B or B on A, in
polycrystalline multilayers, has been reported yet.
Focusing on the Cu/Mg multilayer system, past studies
proposed and demonstrated that CuMg
2
is always the first
phase to form for any composition ratio.
14,15
They also
showed that the formation of this intermetallic phase is di-
vided into two stages, nucleation and growth along the inter-
face until coalescence is achieved followed by vertical
growth until depletion of one of the species. Thus, if the
composition ratio is 1Cu:2Mg, CuMg
2
will be the unique
phase to form, and a calorimetric study of this system would
produce two exothermic peaks, one for lateral and another
for vertical growth.
15
We have previously shown,
16
however,
the existence of two overlapped peaks, both corresponding to
a nucleation and lateral growth process. A nonsimultaneous
nucleation for the two kinds of interfaces Mg on Cu and
Cu on Mg was then suggested to explain this unexpected
behavior.
Here we report on specific calorimetric experiments of the
intermetallic phase formation of CuMg
2
and unambiguously
show that the origin of the two low-temperature overlapped
peaks in the calorimetric curve of Cu/Mg multilayers is re-
lated to a differentiated nucleation and lateral growth on both
types of interfaces, Mg on Cu and Cu on Mg. To isolate the
nucleation events in both interfaces we add a new layer ei-
ther on top of the Cu films or on top of the Mg layers. This
barrier acts as a buffer layer, preventing nucleation of the
intermetallic compound in the corresponding interface. Fe
was chosen due to the reduced solubility with both Cu and
PHYSICAL REVIEW B 69, 113411 2004
0163-1829/2004/6911/1134114/$22.50 ©2004 The American Physical Society 69 113411-1