Melting of core-shell Ag-Ni and Ag-Co nanoclusters studied via molecular dynamics simulations
Z. Kuntová,
1,2
G. Rossi,
1
and R. Ferrando
1
1
Dipartimento di Fisica, Università di Genova and CNR/INFM, Via Dodecaneso, 33, 16146 Genova, Italy
2
Institute of Physics, AS CR, v.v.i., Na Slovance 2, 182 21 Prague 8, Czech Republic
Received 18 March 2008; published 22 May 2008
The melting of binary metallic nanoclusters of Ag-Ni and Ag-Co is studied at magic sizes for the anti-
Mackay icosahedron by means of molecular dynamics simulations within a many-body tight-binding potential
model. This structure is especially stable for those compositions at which the external shell is completely made
of silver, while the inner core is either made of Ni or Co. Our simulations clearly show that melting takes place
in two steps. The external one-layer thick Ag shell melts first, while the inner core is still solid, then the whole
cluster melts at a temperature that can be considerably higher than the melting temperature of the external
shell. The width of the temperature interval in which the shell is melted while the core is still solid strongly
depends on the system.
DOI: 10.1103/PhysRevB.77.205431 PACS numbers: 36.40.c, 61.46.Bc
I. INTRODUCTION
Bimetallic nanoclusters, which are often referred to as
nanoalloys, have recently received great attention in basic
research and applications,
1
for example, in catalysis, optics,
and magnetism. In the case of applications in optics and
catalysis, core-shell nanoparticles can be of great interest.
For example, a monolayer-thick external shell of metal A
covering a core of metal B is likely to be highly strained in
the case of large atomic size mismatch between species A
and B. Strained overlayers can present unusual catalytic
properties.
2
Thermal stability is a very important characteristic of
nanosystems that aim to be used in applications. In this re-
spect, the study of the melting of nanoparticles has recently
received great attention, both from the point of view of ex-
periment and of theory and/or simulation.
3
The melting of nanoparticles is a complex phenomenon,
which presents some important differences with respect to
the melting of bulk solids. First of all, the melting of nano-
particles does not sharply occur at a precise temperature but
somewhat smoothly in a finite temperature range.
4–6
More-
over, the melting range is size dependent for a given mate-
rial. As a general trend, the melting range of single-
component nanoparticles decreases with their size.
5,7,8
For
example, the melting temperature of bulk Ag is 1235 K;
nevertheless, for small clusters, the melting point decreases.
In fact, for octanethiol-capped Ag clusters with sizes of 2–4
nm, melting is in the range of 400 K.
9
The reason for this
behavior consists in the increasing proportion of less coordi-
nated surface atoms with decreasing size. This causes an
average temperature decrease that is proportional to N
-1/3
,
where N is the number of atoms in the cluster.
7
For small
sizes, however, the melting temperature does not depend
smoothly on N but can present strong oscillations. A very
nice example of this behavior has been found for Na clusters
for N from 70 to 200 atoms. The experiments showed
10
that
the melting temperatures of clusters such as Na
130
and Na
147
differ by 60 K, although their sizes are similar. The expla-
nation is the difference in the structure of the clusters and the
existence of superstable magic melters—in this case, the
cluster that melts higher is the complete icosahedron Na
147
.
The existence of magic melters with completed icosahedral
shape is known also for metal clusters,
11
including Ni.
12,13
In the case of binary nanoparticles, the phenomenology is
even richer since melting temperature can also depend on
composition at fixed sizes. A striking example of this behav-
ior was found in the simulation of the melting of icosahedral
Ag clusters.
14
After substituting the central Ag atom in a
147-atom icosahedron with either Cu or Ni impurity, the
melting temperature increases by 30 or 50 K, respectively.
This behavior has to be attributed to the effective strain re-
laxation, which takes place in the icosahedral structure when
a small impurity occupies the central site. The dependence of
the melting temperature on composition at fixed sizes de-
pends on the specific features of the system under study, as
shown by several simulation results.
1,15–19
The melting of
core-shell and multishell clusters is especially interesting
and has been studied in different systems by several
groups.
15,17,20–24
A very important point is to investigate
whether different shells melt at significantly different tem-
peratures, as observed also in pure clusters.
3,25
In this paper, we study the melting process of Ag
shell
Ni
core
and Ag
shell
Co
core
nanoparticles by molecular dynamics MD
simulations. Sizes and compositions are chosen in such a
way that the global minimum GM structures are highly
symmetric: icosahedra with an external anti-Mackay
26
shell,
which is completely made of silver, and with inner core ei-
ther of Co or Ni. As we shall show in the following, perfect
core-shell anti-Mackay icosahedra are the most stable struc-
tures for these compositions: Ag
32
Ni
13
, Ag
32
Co
13
, Ag
72
Ni
55
,
and Ag
72
Co
55
. The driving forces for obtaining these struc-
tures are the lower surface energy of Ag with respect to Ni
and Co and the size mismatch, which favors surface posi-
tions for the large Ag atoms in icosahedral structures.
15
Size
mismatch between Ag and Ni/Co is large: r
Ag
- r
Ni
/ r
Ag
= 0.138 and r
Ag
- r
Co
/ r
Ag
= 0.131. For this reason, the anti-
Mackay external shell is favored over the Mackay shell be-
cause the former is made of fewer atoms and can thus be
better accommodated around the small Ni/Co core. Our
simulations are aimed at understanding whether it is possible
to produce a liquid layer of monatomic thickness in a signifi-
cant temperature range.
PHYSICAL REVIEW B 77, 205431 2008
1098-0121/2008/7720/2054318 ©2008 The American Physical Society 205431-1