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anatomy of Au 25 (SR) 18 , the formula of Au 38 (SR) 24 may be written as Au 23 @[Au
(SR) 2 ] 3 [Au 2 (SR) 3 ] 6 , which indicates that Au 38 nanocluster has a 23-gold-atom
kernel protected by three monomeric staples and six dimeric staples.
The Au 38 (SR) 24 structure is chiral, as reflected from the rotating arrangement of
the dimeric staples. The unit cell of Au 38 (SR) 24 nanoclusters indeed contains a pair
of enantiomers. The dimeric staples can be arranged in a left-handed or right-
handed way, forming two enantiomers of the Au 38 nanocluster.
5.1.3 The Case of Au 102 (SPh-COOH) 44
Au 102 (SR) 44 was the first reported structure of thiolate-protected gold nanoclusters
[ 7 ]. Its formula may be written as Au 79 @[Au(SR) 2 ] 19 [Au 2 (SR) 3 ] 2 . The Au 102
nanocluster possesses a 79-gold-atom kernel. To understand the Au 79 kernel, we
first briefly discuss Marks' decahedron and rhombicosidodecahedron - which are
important noncrystalline shapes.
The Marks' decahedron was discovered in early research on the multi-twinned
nanoparticles. L. D. Marks found that a special form of decahedron is one of the
common low-energy (i.e., stable) shapes for small nanoparticles [ 90 , 91 ]. A deca-
hedron can be viewed as five tetrahedrons assembled together by sharing a common
edge (as the central axis), with each tetrahedron sharing two facets with neighbor-
ing tetrahedrons, hence forming a fivefold twinned structure (Fig. 13a ). The
remaining two facets of each tetrahedron are exposed, composing the total 10 tri-
angular {111} surfaces of the decahedron. By truncating through the five horizontal
edges of a decahedron, one obtains an Ino decahedron with additional five {100}
facets (Fig. 13b ). A Marks' decahedron is a derivative of Ino's decahedron. Marks
found that when introducing a reentrant {111} surface at each of the five vertical
edges of Ino's decahedron, a more stable decahedron structure can be obtained
(Fig. 13c ). A Marks' decahedron is denoted by (m, n, p), with m indicating the
number of atoms on the equatorial edges, n the number of atoms on the vertical
edge, and p the number of atoms on the reentrant edge (Fig. 13d )[ 44 ].
The central portion of the Au 79 kernel of Au 102 (SR) 44 is actually a 49-atom
Marks' decahedron of (2,1,2). The 49 atoms can be counted as 4
1+3
5+2
49, indicating that there are four atoms at the central axis,
3 atoms at the first pentagon column, 2 atoms on the second, and 1 atom on the
third (Fig. 13e ).
The Au 49 Marks' decahedron has ten extended {111} facets. In order to reduce
the exposed surface area, nature chooses to cover each {111} facet with three more
atoms (Fig. 14a ), giving rise to Au 79 . The three additional atoms adopt close
packing onto the Au 9 triangular {111} facets; hence, there are additional 15 gold
atoms on the top of the Au 49 decahedron and another 15 on the bottom (Fig. 14b ),
composing an Au 79 kernel (Fig. 14c ). The 15 atoms actually connect together to
10 + 1
10
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