DFT calculations
of binary transition-metal nanoclusters Cu38–n
M
n
(M
= Ru, Rh, Pd, Ag, Os, Ir, Pt, and Au; n = 1, 2, and
6) clearly show that a core–shell structure Cu32M6(core) with M in the core is stable for M = Ru, Rh,
Os, and Ir but unstable for M = Pd, Ag, Pt, and Au. These results
are consistent with the segregation energies evaluated for Cu37M. Electron population is more accumulated on the core M
atoms in Cu38–n
M
n
(core) (M = Ru, Rh, Os, and Ir) than on the core Cu atoms in
Cu38. Such electron accumulation substantially occurs for
M = Ru, Rh, Os, and Ir because the d orbitals of these transition
metals are not fully occupied. A linear relationship was first found
between the segregation energy and the increase in the d-orbital population
of the core atom, indicating that the electron accumulation at the
M
n
core is one of the important factors
for the segregation energy and the stabilization of the core–shell
structure; in other words, a core–shell structure with M atom(s)
in the core is stable when the d orbitals of M are not fully occupied.
For M = Pd, Pt, and Au, the fused-alloy structure is more stable than
the core–shell and phase-separated structures. For M = Ag,
the fused-alloy structure is as stable as the phase-separated one
but the core–shell structure is less stable. In these metals,
the d orbitals are either nearly or fully occupied, and as a result,
electron accumulation at the M
n
core does
not occur as much. For Cu32M6(core), the deformation
energy of the Cu32 shell increases in the order Ru <
Rh ≪ Pd < Ag and Os < Ir ≪ Pt < Au, because
the size of the M6 core is substantially large for M =
Pd, Ag, Pt, and Au. These results suggest that a large atom tends
not to take the core position. The cohesive energies of Ru, Rh, Os,
and Ir are larger than those of Pd, Ag, Pt, and Au, indicating that
the cohesive energy is also an important property for understanding
and discussing the structures of binary metal clusters/particles.