Rotational-Vibrational Energy Levels for the 𝑿𝟏𝚺+ State of 𝐑𝐛𝐇 Molecule

Year 2023, Volume: 9 Issue: 1, 99 - 106, 30.06.2023

Hilmi Yanar

https://doi.org/10.29132/ijpas.1274351

Abstract

In this study, the more suitable potential energy function to model the experimental (observed) vibrational energy levels of the 𝑅𝑏𝐻(𝑋1Σ+) molecule has been determined by using the energy eigenvalue equations obtained for the general molecular potential (GMP) and the improved generalized Pöschl–Teller (IGPT) potential. In addition, by considering suitable potential energy function and the Pekeris-type approximation, which is the most appropriate approach to the centrifugal term in the discussion of bound states, the more accurate rotational-vibration energies of the 𝑅𝑏𝐻(𝑋1Σ+) molecule have been found.

Keywords

Diatomic Molecules, Vibrational energies, General Molecular Potential, RbH Molecule, Pöschl–Teller potential

RbH Molekülünün X^1 Σ^+ Durumu için Dönme-Titreşim Enerji Seviyeleri

Abstract

Bu çalışmada genel moleküler (GM) potansiyel ve geliştirilmiş genelleştirilmiş Pöschl–Teller (GGPT) potansiyeli için elde edilmiş enerji özdeğer denklemleri kullanılarak, RbH(X^1 Σ^+) molekülünün deneysel (gözlenen) titreşim enerji seviyelerini modelleyebilecek en iyi potansiyel enerji fonksiyonu belirlenmiştir. Ayrıca, bu potansiyel enerji fonksiyonu ve bağlı durumların tartışılmasında merkezcil terime uygulanabilecek en uygun yaklaşım olan Pekeris tipi yaklaşım ele alınarak RbH(X^1 Σ^+) molekülünün en olası dönme-titreşim enerjileri elde edilmiştir.

Keywords

İki atomlu moleküller, titreşim enerjileri, genel moleküler potansiyel, RbH molekülü, Pöschl–Teller potansiyeli

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