Abstract
This chapter deals with phonons, namely vibration modes of a periodic array of atoms in a crystal. We first summarize the basic concepts as a starting point.(1–5)
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
M. Born and K. Huang, Dynamical Theory of Crystal Lattices, Chapter II, pp. 55–61 and 67–70, Clarendon Press, Oxford (1954).
W. Cochran and R. A. Cowley, Handbuch der Physik., XXV/2a, p. 59, Springer-Verlag, Berlin (1967).
A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, Solid State Physics, Supplement, 2nd edn., Vol. 3, pp. 6–38, Academic Press, New York (1971).
W. Cochran, CRC Crit. Rev. Solid State Sci. 2, 1 (1971).
H. Bilz and W. Kress, Phonon Dispersion Relations in Insulators, Springer-Verlag, Berlin (1979).
A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, Solid State Physics, Supplement, 2nd edn., Vol. 3, pp. 82–94, Academic Press, New York (1971).
A. A. Maradudin and S. H. Vosko, Rev. Mod. Phys. 40, 1 (1968).
J. Birman, Handbuch der Physik., XXV/2b, Springer-Verlag, Berlin (1974).
J. C. Decius and R. M. Hexter, Molecular Vibrations in Crystals, Chapter 4, McGraw-Hill Book Company, New York (1977).
H. Poulet and J. P. Mathieu, Vibration Spectra and Symmetry of Crystals, Chapter 4, Gordon and Breach, New York (1976).
O. V. Kovalev, Irreducible Representations of the Space Groups, Gordon and Breach, New York (1965).
M. Born and K. Huang, Dynamical Theory of Crystal Lattices, pp. 249ff., pp. 265–272, Clarendon Press, Oxford (1954).
A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, Solid State Physics, Supplement, 2nd edn., Vol. 3, pp. 201–220, Academic Press, New York (1971).
W. Cochran and R. A. Cowley, J. Phys. Chem. Solids 23, 447 (1962).
R. M. Pick, Adv. Phys. 19, 269 (1970).
L. Merten, Z. Naturforsch 22a, 353 (1967).
H. Poulet and J. P. Mathieu, Vibration Spectra and Symmetry of Crystals, Chapters 8 and 9, Gordon and Breach, New York (1976).
D. A. Long, Raman Spectroscopy, McGraw-Hill Book Company, New York (1977).
A. K. Ghatek and L. S. Kothari, Lattice Dynamics, Chapter 9, Addison-Wesley, Reading, MA (1971).
A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, Solid State Physics, Supplement, 2nd edn., Vol. 3, pp. 320–325, Academic Press, New York (1971).
W. Cochran, CRC Crit. Rev. Solid State Sci. 2, 1 (1971), pp. 11–24.
D. L. Price, J. M. Rowe, and R. M. Nicklow, Phys. Rev. B 3, 1268 (1971).
N. Vagelatos, O. Wehe, and J. S. King, J. Chem. Phys. 60, 3613 (1974).
K. Kunc and O. H. Nielsen, Comput. Phys. Commun. 16, 181 (1979);
K. Kunc and O. H. Nielsen, Comput. Phys. Commun. 17, 413 (1979).
K. Kunc, M. Balkanski, and M. Nusimovici, Phys. Rev. B 12, 4346 (1975).
E. Wilson, J. C. Decius, and P. Cross, Molecular Vibrations, Chapter 4, McGraw-Hill Book Company, New York (1955).
J. C. Decius and R. M. Hexter, Molecular Vibrations in Crystals, McGraw-Hill Book Company, New York (1977).
M. A. Py and K. Maschke, Physica B 105, 370 (1981).
K. Kunc and R. M. Martin, Phys. Rev. B 24, 2311 (1981).
P. E. Van Camp, V. E. Van Doren, and J. T. Devreese, Phys. Rev. Lett. 42, 1224 (1979);
P. E. Van Camp, V. E. Van Doren, and J. T. Devreese, Phys. Rev. B 24, 1096 (1981).
A. A. Maradudin, E. W. Montroll, G. H. Weiss, and I. P. Ipatova, Solid State Physics, Supplement, 2nd edn., Vol. 3, pp. 356–384, Academic Press, New York (1971).
A. A. Maradudin, Solid State Phys., 18, 274 (1966);
A. A. Maradudin, Solid State Phys., 19, 2 (1966).
H. Bilz, Handbuch der Physik., XXV/3a, Springer-Verlag, Berlin (1981).
T. H. K. Barron and M. L. Klein, in: Dynamical Properties of Solids (G. K. Horton and A. A. Maradudin, eds.), Vol. 1, p. 391, North-Holland Publishing Company, Amsterdam (1974f).
R. M. Pick, Physics of Impurity Centers in Crystals, p. 293, Academy of Sciences of the Estonian SSR, Tallinn (1972).
I. F. Chang and S. S. Mitra, Adv. Phys. 20, 353 (1971).
L. Genzel, T. P. Martin, and C. H. Perry, Phys. Status Solidi B 62, 83 (1974).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer Science+Business Media New York
About this chapter
Cite this chapter
Pick, R., Takemori, T. (1986). Phonons. In: Butcher, P.N., March, N.H., Tosi, M.P. (eds) Crystalline Semiconducting Materials and Devices. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9900-2_3
Download citation
DOI: https://doi.org/10.1007/978-1-4757-9900-2_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-9902-6
Online ISBN: 978-1-4757-9900-2
eBook Packages: Springer Book Archive