Geodesic
Influence of the phonon subsystem on the probability of formation of proper point defects in nonmetallic crystals
Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 1, pp. 103-117

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A selfconsisten t equation is obtained for the mean concentration of vacancies in a crystal , allowance being made for phonons. The change in the phonon spectrum of the lattice when defects are present is taken into account. It is shown that the appearance of a resonance level in the vibrational spectrum can lead to an appreciable lowering of the vacancy activation energy at sufficiently low temperatures. 
@article{TMF_1973_17_1_a9,
     author = {A. E. Glauberman and V. A. Fedorin},
     title = {Influence of the phonon subsystem on the probability of formation of proper point defects in nonmetallic crystals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {103--117},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1973_17_1_a9/}
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A. E. Glauberman; V. A. Fedorin. Influence of the phonon subsystem on the probability of formation of proper point defects in nonmetallic crystals. Teoretičeskaâ i matematičeskaâ fizika, Tome 17 (1973) no. 1, pp. 103-117. http://geodesic.mathdoc.fr/item/TMF_1973_17_1_a9/