Dynamics of point defects in crystals
- 1 June 1970
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 3 (6) , 1225-1232
- https://doi.org/10.1088/0022-3719/3/6/004
Abstract
A partitioning technique has been used to study the detailed dynamics of the atoms associated with a point defect, treating them a pseudomolecule. The concept of the spectral density function of a normal mode has been introduced to study the time dependence of the vibrational modes of the pseudomolecule. Relaxed and persistent modes of vibration correspond to the well behaved and singular parts respectively of the spectral density function. It has been shown rigorously that simple vacancies in square and simple cubic lattices with nearest neighbour interactions do not have localized modes of vibration.Keywords
This publication has 12 references indexed in Scilit:
- Vibrational self-entropy of point defects in crystalsJournal of Physics C: Solid State Physics, 1970
- The vibrational self-entropy of a point defect: A pseudomolecular modelPhysics Letters A, 1969
- Asymptotic Description of Localized Lattice Modes and Low-Frequency ResonancesPhysical Review B, 1968
- Evaluation of lattice Green functionsProceedings of the Physical Society, 1966
- Phonon Scattering by Lattice Defects. IIPhysical Review B, 1966
- Localized vibrations of point defects in body-centred cubic latticesCzechoslovak Journal of Physics, 1965
- Vibrations of large imperfections in crystalsProceedings of the Physical Society, 1965
- Lokalisierte Schwingungszustände von Punktdefekten im einfach-kubischen GitterThe European Physical Journal A, 1963
- Poincaré Cycles, Ergodicity, and Irreversibility in Assemblies of Coupled Harmonic OscillatorsJournal of Mathematical Physics, 1960
- A Note on the Quantum-Mechanical Perturbation TheoryThe Journal of Chemical Physics, 1951