T H K Barron and T G Gibbons 1974 J. Phys. C: Solid State Phys. 7 3269 doi:10.1088/0022-3719/7/18/012
T H K Barron and T G Gibbons
Show affiliationsFor pt. I, see ibid., vol.7, no.18, 3260 (1974). A detailed study is undertaken of the physical mechanism underlying the quasi-harmonic lattice dynamics of the rhombohedral lattice model with nearest-neighbour central force interactions. The study provides both a formal and a conceptual understanding of the behaviour of the normal mode frequencies, directions of polarization and Gruneisen parameters. The anisotropy of the model can be varied and its effect on the microscopic vibrational properties is elucidated. As examples, results are presented for two extremes of anisotropy, together with results for the special case of cubic symmetry.
63.20.D- Phonon states and bands, normal modes, and phonon dispersion
63.70.+h Statistical mechanics of lattice vibrations and displacive phase transitions
61.50.Ah Theory of crystal structure, crystal symmetry; calculations and modeling
Issue 18 (21 September 1974)
T H K Barron and T G Gibbons 1974 J. Phys. C: Solid State Phys. 7 3269
Jonathan Hare 2008 Phys. Educ. 43 572
Gerhard Baur et al 1998 J. Phys. G: Nucl. Part. Phys. 24 1657
Stephen D Clow et al 2009 New J. Phys. 11 115007
P F Bagwell 1990 J. Phys.: Condens. Matter 2 6179
M H Naderi et al 2004 J. Phys. A: Math. Gen. 37 3225
R A Fox 2002 Phys. Med. Biol. 47 R1
Donald R Larson and Nicholas G Paulter Jr 2007 Metrologia 44 64
D G Fearn and E R Wooding 1967 J. Sci. Instrum. 44 571
A P Kavanagh et al 2007 J. Phys.: Conf. Ser. 58 439