Abstract
The covalency of the elemental semiconductors may be described in different ways in the different phonon models. In the shell model, COCHRAN [9.25] found that interionic core-shell interactions are important for the description of the flat TA branches in Si, Ge, and α-Sn. An alternative approach stems from the molecular picture using valence field forces [9.10]. The most pictorial way of description is the bond charge model (BCM) which in its general form [9.12] is a very powerful method to understand the mechanical properties of these crystals, although the dielectric properties are not well described.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.L. Warren, J.L. Yarnell, G. Dolling, R.A. Cowley: Phys. Rev. 158, 805 (1967)
R. Wehner, H. Borik, W. Kress, A. Goodwin, S.D. Smith: Solid State Commun. 5, 307 (1967)
G. Dolling, R.A. Cowley: Proc. Phys. Soc. (London) 88, 463 (1966)
G. Peckham: Solid State Commun. 5, 311 (1967)
H.L. Mc Murry, A.W. Solbrig, J.K. Boyter, C. Noble: J. Phys. Chem. Solids 28, 2359 (1967)
R. Blanchard, Y.P. Varshni: Phys. Rev. 159, 599 (1967)
W. Cochran: Crit. Rev. Solid State Sci. 2, 1 (1971)
S.K. Sinha: Crit. Rev. Solid State Sci. 3, 273 (1973)
B.P. Pandey, B. Dayal: J. Phys. C 6, 2943 (1973)
R. Tubino, L. Piseri, G. Zebri: J. Chem. Phys. 56, 1022 (1972)
F.A. Johnson, K. Moore: Proc. Soc. (London) A 339, 85 (1974)
W. Weber: Phys. Rev. B 15, 4789 (1977)
G. Dolling: Inelastic Neutron Scattering, Vol. 2 (IAEA Vienna 1965) p.37
G. Nilsson, G. Nelin: Phys. Rev. B 6, 3777 (1972)
B.N. Brockhouse: Phys. Rev. Lett. 2, 256 (1959)
R.M. Martin: Phys. Rev. 186, 871 (1969)
W. Solbrig, Jr.: Phys. Chem. Solids 32, 1761 (1971)
D.L. Price, S.K. Sinha, R.P. Gupta: Phys. Rev. B 9, 2573 (1974)
T. Soma: Phys. Status Solidi (b) 76, 753 (1976)
G. Nilsson, G. Nelin: Phys. Rev. B 3, 364 (1971)
G. Nelin, G. Nilsson: Phys. Rev. B 5, 3151 (1972)
N.K. Pope in: Lattice dynamics, ed. by R.F. Wallis (Pergamon Press, Oxford 1965) p.147
B.N. Brockhouse, P.K. Ivengar: Phys. Rev. 111, 747 (1958)
F. Herman: J. Phys. Chem. Solids 8, 405 (1959)
W. Cochran: Proc. Roy. Soc. (London) A 253, 260 (1959)
W. Kress: Phys. Status Solidi (b) 49, 235 (1972)
B.P. Pandy, B. Dayal: Solid State Commun. 11, 775 (1972)
G. Nelin: Phys. Rev. B 10, 4331 (1974)
W. Weber: Phys. Rev. Lett. 33, 371 (1974)
A.M. Al’tschuler, Yu.Kh. Vekilo, T.I. Kacherets: Sov. Phys. Solid State 18, 1279 (1976)
S.S. Jaswal in: Lattice Dynamics, ed. by M. Balkanski (Flammarion, Paris 1978) p.41
D.L. Price, J.M. Rowe, R.N. Nicklow: Phys. Rev. B 3, 1268 (1971)
D.L. Price, J.M. Rowe: Solid State Commun. 7, 1433 (1969)
R.P. Gupta, S.K. Sinha, J.P. Walter, M.L. Cohen: Solid State Commun. 14, 1313 (1974)
T. Soma: J. Phys. Soc. Jpn. 36, 1301 (1974)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Bilz, H., Kress, W. (1979). Diamond Structure Crystals. In: Phonon Dispersion Relations in Insulators. Springer Series in Solid-State Sciences, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81347-4_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-81347-4_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81349-8
Online ISBN: 978-3-642-81347-4
eBook Packages: Springer Book Archive