Abstract
The basic features of some wellknown phenomenological force constant models are reviewed. Their interrelation with attempts for ab initio calculations of the phonon-spectrum is discussed. A formal derivation of the dispersion curves in the harmonic Born-Oppenheimer approximation and results of an application of the method to LiF are given.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
B. G. Dick and A.W. Overhauser, Phys.Rev. 112, 90 (1958)
A.D.B. Woods, W. Cochran and B.N. Brockhouse, Phys. Rev. 119, 980 (1960)
U. Schröder, Sol. State Coram. 4, 347 (1966)
A.M. Karo and J.R. Hardy, Phys. Rev. 129, 2024 (1963)
A.M. Karo and J.R. Hardy, Phys. Rev. 141, 696 (1966)
L.J. Sham, Proc. Toy. Soc. (London) A 238, 37 (1965)
W.A. Harrison, Phys. Rev. 139 A, 179 (1965)
S.H. Vosko, R. Taylor, and G.H. Keech, Can.J.Phys. 43, 1187 (1965)
J.C. Phillips and L. Kleinman, Phys. Rev. 116, 287 (1959)
R. Landshoff, Zschr. Phys. 102, 201 (1936)
P.O. Löwdin, J. of Phys. 18, 365 (1950)
S.O. Lundquist, Ark. Fys. 6, 25 (1951 and
S.O. Lundquist, Ark, Pys. 9, 435 (1955)
K.B. Tolpygo and V.S. Mashkevitch, Soviet Physics JETP 5, 435 (1957)
R.A. Cowley, Proc. Roy. Soc., 268, 109 (1962)
K.B. Tolpygo, Sov. Phys. Sol. State 3, 685 (1961)
M. Born and R. Oppenheimer, Ann. d. Phys. 84, 457 (1927)
B. Gliss and H. Bilz, Phys. Rev. Letters 21, 884 (1968)
E.R. Cowley and R.A. Cowley, Proc. Roy. Soc. 292, 209 (1966)
A.A. Maradudin, E.W. Montroll, and G.H. Weiss, Sol. State Phys. Suppl. 3
W. Ludwig, Erg. der ex. Naturw. (Springer Tracts in Mod. Phys.) 43, 1 (1967)
E.W. Kellermann, Phil. Trans. Roy. Soc. (London) A 238, 513 (1940)
R.F. Wood and U. Öpic, Phys. Rev. 162, 736 (1967)
R.F. Wood and R.L. Gilbert, Phys. Rev. 162, 746 (1967)
W. Heitier and F. London, Zschr.Phys. 44, 455 (1927)
P.O. Löwdin, Adv. of Phys. 5, 1 (1956)
F. Herman, J. Phys. Chem. Solids 8, 405 (1959)
S.O. Lundquist, Ark. Fys. 12, 263 (1957)
R.A. Cowley, W. Cochran, B.N. Brockhouse, and A.D.B. Woods, Phys. Rev. 131, 1030 (1963)
H. Bilz in: S. Nudelman ed. “Optical Prop. of Solids” (in press)
H. Bilz and B. Gliss (to be published)
V. Nüßlein and U. Schröder, Phys. Stat. Sol. 21, 309 (1967)
G. Dolling, H.G. Smith, R.M. Nicklow, P.R. Vygayaraghavan, and M.K. Wilkinson, Phys. Rev. 168, 970 (1968)
W.I. Waller and S.O. Lundquist, Ark. Pys. 7, 121 (1954)
A.A. Abrikosov, L.P. Gorkov, and I.E. Dzyaloskinski, Methods of Quantum Field Theory in Statistical Physics, Prentice Hall, London (1963)
J.C. Slater and G.P. Koster, Phys. Rev. 94, 1498 (1954)
D.M. Roessler and W.C. Walker, J. Phys. Chem. Solids 28, 1507 (1967)
E. Clementi, IBM Journ. of Res. and Dev. 9, 2 (1965)
M.H. Cohen, R.M. Martin, and R.M. Pick (tobe published)
S.K. Sinha, Phys. Rev. 163, 477 (1968)
R.M. Martin, Phys. Rev. Letters 21, 536 (1968)
B. Kunz, International Symposium on “Colour Centers in Alkali Halides”, Rome, 179 (1968)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1969 Springer Science+Business Media New York
About this chapter
Cite this chapter
Gliss, B. (1969). On the Calculation of Phonon Dispersion Curves in Insulators. In: Haidemenakis, E.D. (eds) Electronic Structures in Solids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6537-0_14
Download citation
DOI: https://doi.org/10.1007/978-1-4899-6537-0_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-6250-8
Online ISBN: 978-1-4899-6537-0
eBook Packages: Springer Book Archive