Summary
Reciprocal space vectors, Bloch Functions and periodic boundary conditions are introduced and discussed. The π bands of two-dimensional graphite are obtained with a model hamiltonian and are used to illustrate the effect of translational symmetry on the wave function.
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.
Reference
N.W. Ashcroft and N.D. Mermin, Solid State Physics, Holt, Rinehart and Winston, ch. 33 (1976).
H. Ibach and H.Luth, Solid State Physics, Springer Verlag, ch. 8 (1991).
L. Landau and E. Lifchitz, Mécanique Quantique, Editions Mir, Moscou, p. 424 (1966).
N.W. Ashcroft and N.D. Mermin, Solid State Physics, Holt, Rinehart and Winston, p. 47 (1976).
L.P. Bouckaert, R. Smoluchowski and E. Wigner, Phys. Rev. 50, 58 (1936).
J.C. Slater, Quantum Theory of Molecules and Solids, Vol. 2, McGraw-Hill (1965).
J. Callaway, Quantum Theory of the Solid State, Part A, Academic Press (1974).
M. Lax in Symmetry Principles in Solid State and Molecular Physycs Wiley (1974).
C. J. Bradley and A. P. Cracknell in The Mathematical Theory of Symmetry in Solids, Clarendon Press, Oxford (1972).
V. R. Saunders, C. Freyria Fava, R. Dovesi, L. Salasco and C. Roetti, Mol. Phys. 77, 629 - 665 (1992).
F.E. Harris in Theoretical Chemistry: Advances and Perspectives, edited by H. Eyring and D. Henderson, Vol. 1 (Academic Press), p. 147.
V.R. Saunders in Computational Techniques in Quantum Chemistry, edited by G.H.F. Diercksen, B.T. Sutcliffe and A. Veillard (Reidel) p. 3s47 (1975).
C. Pisani, R. Dovesi and C. Roetti, Lecture Notes in Chemistry, vol 48, Springer, Heidelberg (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Dovesi, R. (1996). The Language of Band Theory. In: Pisani, C. (eds) Quantum-Mechanical Ab-initio Calculation of the Properties of Crystalline Materials. Lecture Notes in Chemistry, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61478-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-61478-1_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61645-0
Online ISBN: 978-3-642-61478-1
eBook Packages: Springer Book Archive