Calculation of One-Electron Wave Functions and Energy Levels of N-Butane Molecule on the Basis of Slater Atomic Orbitals

Author:

Pashaev Faig1,Gasanov Arzuman2,Musaev Musaver3,Abbasov Ibrahim3

Affiliation:

1. Baku State University , 23 Zahid Khalilov Str., Baku, 1148 , Azerbaijan

2. War College of the Armed Forces , 136 Sh. Mehtiev Street, Baku, 1065 , Azerbaijan

3. Azerbaijan State Oil and Industry University , 20 Azadliq Str., Baku, 1010 , Azerbaijan

Abstract

Abstract It is known that the application of the group theory greatly simplifies the problems of polyatomic systems possessing to any space symmetry. The symmetry properties of such systems are their most important characteristics. In such systems, the Hamilton operator is invariant under unitary symmetry transformations and rearrangements of identical particles in the coordinate system. This allows to obtain information about the character of one-electron wave functions — molecular orbitals — the considered system, i.e. to symmetrise the original wave functions without solving the Schrödinger equation.

Publisher

Walter de Gruyter GmbH

Reference25 articles.

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3. Bolotin, A. B, Stepanov, N. F. (1973). Group Theory and Its Applications in Quantum Mechanics of Molecules [Болотин, А. Б., Степанов, H. Ф. Теория групп и ее применения в квантовой механике молекул Издательство Московского университета, Москва]. Moscow University Press, Moscow. 227 pp. (in Russian).

4. Chatterjee, S., Wang, F. (2015). Electronic structures of hexane izomers studied using quantum mechanics and graph theory. J. Theor. Comp. Chem., 14 (2), 1550014.

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