Non-relativistic eigensolutions of molecular and heavy quarkonia interacting potentials via the Nikiforov Uvarov method

2020 ◽  
Vol 98 (12) ◽  
pp. 1125-1132 ◽  
Author(s):  
Ekwevugbe Omugbe
Keyword(s):  
Vibrational Energy ◽  
Energy Levels ◽  
Rotational Constant ◽  
Special Cases ◽  
Radial Schrödinger Equation ◽  
Interacting Systems ◽  
Centrifugal Distortion Constants ◽  
Vibrational Energy Levels ◽  
The Masses ◽  
Uvarov Method

In this paper, the analytical eigensolutions of the radial Schrödinger equation are obtained using the Nikiforov Uvarov method. Special cases of the modeled potential were discussed. The energy eigenvalues expressions for both quarkonia and diatomic molecular interacting systems are obtained. Furthermore, the masses of the charmonium and bottomonium mesons were computed. The vibrational energy levels, inertia rotational constant, and first two centrifugal distortion constants of the Kratzer–Fues oscillator were obtained in closed form. The results obtained are in excellent agreement with the results in the literature.

Accurate theoretical study on the ground and first-excited states of Na2: potential energy curves, spectroscopic parameters, and vibrational energy levels

2016 ◽  
Vol 94 (12) ◽  
pp. 1259-1264 ◽  
Author(s):  
Lu-Lu Zhang ◽  
Yu-Zhi Song ◽  
Shou-Bao Gao ◽  
Ji-Hua Xu ◽  
Yong Zhou ◽  
...  
Keyword(s):  
Potential Energy ◽  
Vibrational Energy ◽  
Energy Levels ◽  
Potential Energy Curves ◽  
Basis Set ◽  
Spectroscopic Parameters ◽  
Complete Basis Set ◽  
Internuclear Distances ◽  
Centrifugal Distortion Constants ◽  
Vibrational Energy Levels

Potential energy curves (PECs) for the ground and first-excited electronic states of Na2 are obtained by fitting the ab initio energies calculated at the MRCI(Q)/aug-cc-pVXZ (X = T, Q, 5) level of theory, which are subsequently extrapolated to the complete basis set limit. The relativistic effect and core–valence correlation are also considered. The PECs are accurate at both short and long internuclear distances with the root-mean-squared deviations being 0.72 cm−1 for Na2 [Formula: see text] and 0.36 cm−1 for Na2 [Formula: see text]. Utilizing the obtained PECs, we calculate the spectroscopic parameters, vibrational energy levels, classical turning points, inertial rotation, and centrifugal distortion constants, which are in good agreement with other theoretical and experimental work.

scholarly journals Research progress in the effects of terahertz waves on biomacromolecules

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Liu Sun ◽  
Li Zhao ◽  
Rui-Yun Peng
Keyword(s):  
Vibrational Energy ◽  
Rapid Development ◽  
Energy Levels ◽  
Basic Research ◽  
Research Progress ◽  
Biological Macromolecules ◽  
Terahertz Waves ◽  
Terahertz Spectrum ◽  
Biomedical Field ◽  
Vibrational Energy Levels

AbstractWith the rapid development of terahertz technologies, basic research and applications of terahertz waves in biomedicine have attracted increasing attention. The rotation and vibrational energy levels of biomacromolecules fall in the energy range of terahertz waves; thus, terahertz waves might interact with biomacromolecules. Therefore, terahertz waves have been widely applied to explore features of the terahertz spectrum of biomacromolecules. However, the effects of terahertz waves on biomacromolecules are largely unexplored. Although some progress has been reported, there are still numerous technical barriers to clarifying the relation between terahertz waves and biomacromolecules and to realizing the accurate regulation of biological macromolecules by terahertz waves. Therefore, further investigations should be conducted in the future. In this paper, we reviewed terahertz waves and their biomedical research advantages, applications of terahertz waves on biomacromolecules and the effects of terahertz waves on biomacromolecules. These findings will provide novel ideas and methods for the research and application of terahertz waves in the biomedical field.

scholarly journals MARVEL: measured active rotational–vibrational energy levels

2007 ◽  
Vol 245 (2) ◽  
pp. 115-125 ◽  
Author(s):  
Tibor Furtenbacher ◽  
Attila G. Császár ◽  
Jonathan Tennyson
Keyword(s):  
Vibrational Energy ◽  
Energy Levels ◽  
Vibrational Energy Levels

scholarly journals Vibrational band-structures caused by internal rotations of the boron Wankel rotor B11−

RSC Advances ◽  
2021 ◽  
Vol 11 (6) ◽  
pp. 3613-3621
Author(s):  
Yonghong Xu ◽  
Huihui Wang ◽  
Yonggang Yang ◽  
Changyong Li ◽  
Liantuan Xiao ◽  
...  
Keyword(s):  
Vibrational Energy ◽  
Energy Levels ◽  
Vibrational Band ◽  
Spectral Broadening ◽  
Band Structures ◽  
Internal Rotations ◽  
Vibrational Energy Levels

The band structures of the vibrational energy levels of B11− lead to corresponding spectral broadening. The vibrational band-structures of planar boron rotors are caused by internal rotations.

Potential energy curves, spectroscopic constants, and vibrational energy levels of CS+(X2Σ+/A2Π)

2019 ◽  
Vol 118 (2) ◽  
pp. e1597199
Author(s):  
Lulu Zhang ◽  
Daguang Yue ◽  
Juan Zhao ◽  
Yuzhi Song ◽  
Qingtian Meng
Keyword(s):  
Potential Energy ◽  
Vibrational Energy ◽  
Energy Levels ◽  
Potential Energy Curves ◽  
Spectroscopic Constants ◽  
Vibrational Energy Levels
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