Among various absorption bands of fased quertz exposed to X-rays the band with peak at 2.3eV has been interpreted experimentally as due to the electrons trapped by the oxygen vacancies. The corresponding absorption band in quartz would be a peak at 2.68eV. Under the assumption that the trapped election occupies the 3s orbital φ
s of S
i neighboring to the vacancy we have two states, the one of which being φ
g=1/√2(1+S) (φ
s+φs
s') and the other φ
u=1/√2(1-S) (φ
s-φ
s') where φ
s and φ
s' are, 3s orbitals of two S
i stoms neighboring to the vacancy, respectively, and S=∫φ
sφ
s'dτ. A transition of trapped electron from φ
g to φ
u is responsible to the absorption of 2.3eV. Under some simplified assumptions. we estimate the energy difference between the aboue two states to be 4.8eV. for fured quartz and 5.7eV for quartz, respectively.
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