Diatomic bonding

A classical and quantum approches

Authors

  • Pedro Henrique Pinheiro Cintra Universidade de Brasília

Abstract

The present article has the intention of showing the difference between classical and quantum analysis for a diatomic molecule, on the aspects of vibrational transitions, showing the results and predictions of each method, describing the solutions and comparing them with the real behavior. Making clear the limitations and validities of each method.

References

ATKINS, P. Physical Chemistry, 1031p. [S.l.]: WH Freeman and Co., New York, 1994. 43

BARBOZA, F. et al. Analytical solution of the morse potential in classical mechanics. Revista Brasileira de Ensino de Física, SciELO Brasil, v. 29, n. 4, p. 543”“547, 2007. 50

CHEN, G. The exact solutions of the schrödinger equation with the morse potential via laplace transforms. Physics Letters A, Elsevier, v. 326, n. 1, p. 55”“57, 2004. 56

DONG, S.-H.; LEMUS, R.; FRANK, A. Ladder operators for the morse potential. International journal of quantum chemistry, Wiley Online Library, v. 86, n. 5, p. 433”“439, 2002. 58

EISBERG, R.; RESNICK, R. Quantum physics of atoms, molecules, solids, nuclei, and particles. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles, 2nd Edition, by Robert Eisberg, Robert Resnick, pp. 864. ISBN 0-471-87373-X. Wiley-VCH, January 1985., p. 864, 1985. 43

GOLDSTEIN, H.; POOLE, C.; SAFKO, J. Classical mechanics. [S.l.]: AAPT, 2002. 58

PAULING, L. The nature of the chemical bond and the structure of molecules and crystals: an introduction to modern structural chemistry. [S.l.]: Cornell university press, 1960. v. 18. 43

ROY, R. J. L. Determining equilibrium structures and potential energy functions for diatomic molecules. [S.l.]: Taylor & Francis: London, 2011. 159”“203 p. 44

SLATER, J. C. Quantum theory of molecules and solids. McGraw-Hill, 1963. 46

TASELI, H. Exact solutions for vibrational levels of the morse potential. Journal of Physics A: Mathematical and General, IOP Publishing, v. 31, n. 2, p. 779, 1998. 60

WOOLLEY, R.; SUTCLIFFE, B. Molecular structure and the born””oppenheimer approximation. Chemical Physics Letters, Elsevier, v. 45, n. 2, p. 393”“398, 1977. 52

Published

2019-10-05

How to Cite