Abstract
A line between two H atoms is a simple and natural shorthand for the covalent bond of H2. The extension to a line per spin-paired electrons in bonds provides a convenient and surprisingly powerful representation of molecular structure. Pauling’s valence bond (VB) diagrams1 are widely used throughout chemistry and increasingly in solid-state physics, from purely qualitative to quantitative applications. We emphasize in this paper the versatility of VB diagrams and their role in obtaining exact results for finite quantum cell models. Considerable progress has been made in the manipulation of VB diagrams.2 Quantitative applications now focus on model Hamiltonians that conserve total spin and on excited states rather than on ground-state molecular properties.
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
L. Pauling, J. Chem. Phys. 1, 280 (1933); L. Pauling and G. Wheland, ibid, 362 (1933).
Z.G. Soos and S. Ramasesha, in Valence Bond Theory and Chemical Structure (eds. D.J. Klein and S. Trinajstic, Elsevier, Amsterdam) in press.
L. Pauling, Phys. Rev. 54, 899 (1938).
P.W. Anderson, Science V235, 1196 (1987); G. Baskaran, Z. Zou, and P.W. Anderson, Solid State Commun. 63, 973 (1987).
I. Affleck, T. Kennedy, E. Lieb and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987); Comm. Math. Phys. 115, 477 (1988); C.K. Majumdar and D.K. Ghosh, J. Math. Phys. 10, 1388 (1969); S.A. Alexander and D.J. Klein, Phys. Rev. B31, 574 (1985).
Z.G. Soos and D.J. Klein, in Treatise on Solid State Chemistry, Vol. 3 (ed. N.B. Hannay, Plenum, New York, 1976 ) p. 679.
S. Ramasesha and Z.G. Soos, Int. J. Quant. Chem. 25, 1004 (1984).
G. Rumer, Gottingen Nachr. Tech. 377 (1932).
S. Mazumdar and Z.G. Soos, Synth. Metals 1, 77 (1979).
S.R. Bondeson and Z.G. Soos, Phys. Rev. B22, 1793 (1980); Z.G. Soos, S. Kuwajima and J.E. Mihalick, ibid, B32, 3124 (1985).
Z.G. Soos and S. Ramasesha, Phys. Rev. B29, 5410 (1984).
S. Ramasesha and Z.G. Soos, J. Chem. Phys. 80, 3279 (1984).
K. Chang, I. Affleck, G.W. Hayden, and Z.G. Soos, J. Phys. C: Solid State Phys. (in press).
Z.G. Soos and S. Kuwajima, Chem. Phys. Lett. 122, 315 (1985); Z.G. Soos, S. Kuwajima, and R.H. Harding, J. Chem. Phys. 85, 601 (1986).
Z.G. Soos and G.W. Hayden, in Electroresponsive Molecular and Polymeric Systems (ed. T.A. Skotheim, Marcel Dekker, New York, 1988) and references therein.
S.J. Lalama and A.F. Garito, Phys. Rev A20, 1179 (1979); A.F. Garito, K.Y. Wong and O. Zamani-Khamiri, in Nonlinear and Electroactive Polymers (eds. P.N. Prasad and D.R. Ulrich, Plenum, New York, 1988) p. 13; D. Li, M.A. Ratner, and T.J. Marks, J. Amer. Chem. Soc. 110, 1707 (1988).
S. Etemad, G.L. Baker, L. Rothberg, and F. Kajzar, Proc. Mat. Res. Soc. 109, 117 (1988).
S. Ramasesha and Z.G. Soos, Chem. Phys. Letters (in press); Z.G. Soos and S. Ramasesha, J. Chem. Phys. (in press).
S. Kuwajima and Z.G. Soos, J. Amer. Chem. Soc. 109, 107 (1987).
G.W. Hayden, P. McWilliams, S. Ramasesha, and Z.G. Soos, in preparation.
D.C. Hanna, M.A. Yuratich, and D. Cotter, “Nonlinear Optics of Free Atoms and Molecules” ( Springer, Berlin, 1979 ).
C.P. DeMelo and R. Silbey, J. Chem. Phys. 88, 2558, 2567 (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Plenum Press, New York
About this chapter
Cite this chapter
Soos, Z.G., Ramasesha, S., Hayden, G.W. (1989). Exact Valence-Bond Approach to Quantum Cell Models. In: Baeriswyl, D., Campbell, D.K. (eds) Interacting Electrons in Reduced Dimensions. NATO ASI Series, vol 213. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0565-1_11
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0565-1_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-7869-6
Online ISBN: 978-1-4613-0565-1
eBook Packages: Springer Book Archive