Abstract
In this chapter we specialize the concepts given in Chap. 7 for the electronic states by introducing specific forms for the wavefunctions in diatomic molecules.
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Notes
- 1.
A similar method is used also in more complex molecules, by writing \(\phi =\sum _i c_i\phi _i\) and constructing the energy function \(E= E(c_i)\) on the basis of the complete electronic Hamiltonian \(\mathcal{H}= \sum _i(-\hbar ^2/2m)\nabla _i^2 - e^2\sum _{\alpha , i} Z_{\alpha }/R_{i\alpha } + e^2\sum _{i,j}^{'} 1/r_{ij}\), by iterative procedure evaluating the self-consistent coefficients \(c_i\). This is the MO-LCAO-SCF method.
- 2.
Van der Waals interactions (described at Sect. 13.2.2), leading to very weak bonds at large distances, are not considered here.
Specific References and Further Reading
P.W. Atkins and R.S. Friedman, Molecular Quantum Mechanics, (Oxford University Press, Oxford, 1997).
D. Budker, D.F. Kimball and D.P. De Mille, Atomic Physics - An Exploration Through Problems and Solutions, (Oxford University Press, 2004).
A. Balzarotti, M. Cini, M. Fanfoni, Atomi, Molecole e Solidi. Esercizi risolti, (Springer Verlag, 2004).
B.H. Bransden and C.J. Joachain, Physics of atoms and molecules, (Prentice Hall, 2002).
C.A. Coulson, Valence, (Oxford Clarendon Press, 1953).
W. Demtröder, Molecular Physics, (Wiley-VCH, 2005).
H. Eyring, J. Walter and G.E. Kimball, Quantum Chemistry, (J. Wiley, New York, 1950).
H. Haken and H.C. Wolf, Molecular Physics and Elements of Quantum Chemistry, (Springer Verlag, Berlin, 2004).
G. Herzberg, Molecular Spectra and Molecular Structure, Vol. I, II and III, (D. Van Nostrand, New York, 1964–1966, reprint 1988–1991).
C.S. Johnson and L.G. Pedersen, Quantum Chemistry and Physics, (Addison-Wesley, 1977).
N. Manini, Introduction to the Physics of Matter, (Springer, 2014).
M.A. Morrison, T.L. Estle and N.F. Lane, Quantum States of Atoms, Molecules and Solids, (Prentice-Hall Inc., New Jersey, 1976).
J.C. Slater, Quantum Theory of Matter, (McGraw-Hill, New York, 1968).
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Rigamonti, A., Carretta, P. (2015). Electronic States in Diatomic Molecules. In: Structure of Matter. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-17897-4_8
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DOI: https://doi.org/10.1007/978-3-319-17897-4_8
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