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T. Onishi
Fig. 13.9 The figures of selected molecular orbitals (MOs) and corresponding energy diagram at
the local minimum for (a) SrTi 8 O 10 C 2 (I) and (b) SrTi 8 O 10 C 2 (II) models
are degenerated, though the π -type Ti–C–Ti covalent bondings are only formed in
LUMO. The π -type Ti–C–Ti covalent bondings in HOMO and HOMO-1 are to the
impurity level. It is concluded that a visible light absorption energy corresponds
to the orbital energy difference between impurity level (HOMO) and titanium 3d
conduction band (LUMO+1). In MO141, titanium 3d z 2 orbitals have σ -type and π -
type orbital overlaps with carbon 2p z orbital and oxygen 2p z orbital, respectively.
In MO140, σ -type orbital overlaps exist between titanium 3d z 2 orbital and carbon
2p z orbital. Figure 13.9(b) depicts the figures of selected MOs and corresponding
energy diagram at the local minimum for SrTi 8 O 10 C 2 (II) model. HOMO-2 and
LUMO correspond to valence band and conduction band, respectively. The π -type
Ti–C–Ti covalent bondings in HOMO and HOMO-1 are the impurity level. It is concluded that a visible light absorption energy corresponds to the orbital energy difference between impurity level (HOMO) and titanium 3d conduction band (LUMO).
In MO131, MO132, MO139 and MO141, σ -type orbital overlaps exist between titanium 3d z 2 orbital and carbon 2p z orbital. From Onishi chemical bonding rule, a
strong covalent bonding is formed in Ti–C–Ti of SrTi 8 O 10 C 2 (I) and SrTi 8 O 10 C 2
(II) models. However, it is concluded that Ti–C–Ti covalent bonding is not strong
enough to cause an elimination reaction, because of Ti–C elongation.
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