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Fig. 1.3 Phase diagram
of MX-chains
have studied optical properties of this complex in the 1950s and shown that the
origin of the color is due to the intervalence charge transfer (IVCT) transition
from Pt 2+ to Pt 4+ species [ 20 , 21 ]. Kida et al. developed derivatives of the
complexes in the 1960s [ 22 ]. These compounds were spotlighted as model
compounds of 1D Peierls-Hubbard theory in the 1980s [ 23 - 25 ], and their physical
properties had been extensively studied. In this period, many derivatives had been
also developed by changing metal
¼
alkylamine, ethylenediamine (en), 1 R ,2 R -diaminocyclohexane (chxn) etc.), and
bridging halides (Cl, Br, I).
Yamashita et al. reported the first Ni-based complex [Ni(chxn) 2 Br]Br 2 in 1981
[ 26 ]. At that time, this complex was thought to be a Ni 2+ -Ni 4+ mixed-valence state,
but it has been clarified that this complex is in averaged-valence state by means of
X-ray crystal structure analysis [ 27 ]. In the Ni complexes, many attractive physical
properties have been reported such as gigantic third-order nonlinear optical suscep-
tibility [ 11 , 12 ], spin-Peierls transition [ 13 ], etc.
ions (M
¼
Pt, Pd),
in-plane ligand (L
1.3 Electronic State of MX-Chains
The electronic states of MX chains are interpreted by extended Peierls-Hubbard
model considering electron-lattice interaction ( S ), transfer integral between neigh-
bor orbital ( T ), on-site coulomb repulsion ( U ), and intersite coulomb repulsion ( V )
(Fig. 1.3 )[ 23 - 25 ]. Actually, the energy of their electronic states is often explained
by the competition between S and U for clarity.
When M
Ni, U is the dominant factor because of the small 3 d z 2 orbital,
resulting in a uniform oxidation state of Ni 3+ ( d 7 ). This electronic state is called
average valence (AV) or Mott-Hubbard (MH) state. When M
¼
Pd and Pt, on the
other hand, S is larger than U because of the larger 4 d z 2 or 5 d z 2 orbital, resulting
M 2+ ( d 8 ) and M 4+ ( d 6 ) mixed-valence state. This electronic state is called charge-
¼
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