D-dimensional energies for scandium monoiodide

Abstract

We solve the Schrödinger equation with the Morse potential energy model in D spatial dimensions. The bound state rotation-vibrational energy spectra have been obtained by using the supersymmetric shape invariance approach. For a fixed vibrational quantum number and various rotational quantum numbers, the energies for the X 1 + state of ScI molecule increase as D increases. We observe that the behavior of the vibrational energies in higher dimensions remains similar to that of the three-dimensional system. The dimensional scaling method resembles a translation transformation from the higher dimensions to the actual three dimensions.

More accurate ro-vibrational energies for SiF +(X 1Σ+) molecule

“…e r e , Morse potential [29] as  lim q 0 and Modified Rosen-Morse potential [30] if = -a -( ) q e r r ij e where r ij is a measure of the inner-shell radii of two atoms and given by = - 2 , here, dimensionless constant K is generally taken 4 as a rounded average value [30]. The choice of q parameter varies depending on the molecule examined.…”

Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach

“…Recently, there has been investigations by some researchers reporting some interesting description of internal vibrations of diatomic molecules. Worthy to point out are the works that have successfully predicted the thermodynamic properties for some diatomic gases and gaseous dimmers, including CO, N2, Cl2 and gaseous sodium dimer and lithium dimer [68][69][70][71][72][73][74]. Finally, this study has many applications in different areas of physics and chemistry such as atomic physics, molecular physics and chemistry amongst others : energy eigenvalues variation with parameter 1 V for various quantum states Figure 7:energy eigenvalues variation with parameter 2 V for various quantum states Figure 8: energy eigenvalues variation with dissociation energy for various diatomic molecules Figure 9: energy eigenvalues variation with equilibrium bond length for various diatomic molecules Figure 10: energy eigenvalues variation with screening parameter for various diatomic molecules Figure 11: energy eigenvalues variation with the parameter 1 V for various diatomic molecules Figure 12: energy eigenvalues variation with the parameter 2 V for various diatomic molecules Figure 13: energy eigenvalues variation with the particle mass  for various diatomic molecules Figure 14: vibrational partition function variation with temperature for various diatomic molecules.…”

“…Recently, there has been investigations by some researchers reporting some interesting description of internal vibrations of diatomic molecules. Worthy to point out are the works that have successfully predicted the thermodynamic properties for some diatomic gases and gaseous dimmers, including CO, N2, Cl2 and gaseous sodium dimer and lithium dimer [68][69][70][71][72][73][74]. Finally, this study has many applications in different areas of physics and chemistry such as atomic physics, molecular physics and chemistry amongst others [30] ScN [31] ScF [31]  …”

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

“…Potansiyel enerji fonksiyonlarının iki atomlu molekülleri modellemedeki başarıları ele alınan moleküle bağlı olarak değişmektedir (Zhang, Liu, Zhang, Zhou ve Jia, 2012;Yanar, Aydoğdu ve Saltı, 2016). Örneğin, ScI (𝑋 1 Σ + ) molekülünü en iyi Morse potansiyeli açıklayabilirken (Yanar, Aydoğdu ve Saltı, 2016;Du, Guo ve Jia, 2014), 𝑁𝑎 2 (5 1 ∆ 𝑔 ) molekülünü değiştirilmiş Rosen-Morse potansiyeli (Yanar, Aydoğdu ve Saltı, 2016;Ocak, Yanar, Salti ve Aydogdu, 2018;Kisoglu, Yanar, Aydogdu ve Salti, 2019), 𝐿𝑖 2 7 (𝑎 3 Σ 𝑢 + ) molekülünü ise geliştirilmiş Manning-Rosen potansiyeli (Yanar, Aydoğdu ve Saltı, 2016;Liu, Zhang ve Jia, 2013) iyi biçimde modelleyebilmektedir. Kullanılan potansiyel enerji fonksiyonunun öneminin yansıra, parçacık denklemlerinin çözülebilmesi için merkezcil terime uygulanan yaklaşımın biçimi de kritik öneme sahiptir.…”