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High accuracy wave functions and eigenenergies for the vibration–rotation states of diatomic molecules by factorization method

✍ Scribed by S. Noor Mohammad

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
398 KB
Volume
18
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A solution of the wave equation for the nuclear motion of a diatomic molecule with an exponential potential function and the rotational term included has been performed by the Schrödinger‐Infeld‐Hull factorization method. Two different procedures have been followed for the factorization of the wave equation, and in each of them, as type‐B factorization is incapable of producing wave functions, it has been transformed to type‐C factorization, and a complete set of wave equations have been obtained. Of the two procedures, although the former appears to be more direct, the latter is the more accurate and generalized one.

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High accuracy wave functions and eigenen
High accuracy wave functions and eigenenergies for vibration–rotation states of diatomic molecules
✍ S. Noor Mohammad 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 513 KB

## Abstract A solution of the wave equation for the rotational–vibrational motion in diatomic molecules with a new exponential potential function is carried out in detail. The solution gives simple expressions for the wave functions, eigenenergies, and other related spectroscopic constants. With th