Related Experiment Video
Updated: May 23, 2026

Measurement and Analysis of Atomic Hydrogen and Diatomic Molecular AlO, C2, CN, and TiO Spectra Following Laser-induced Optical Breakdown
Published on: February 14, 2014
[Vibrational levels and dissociation energies of diatomic systems using algebraic method]
Yi Zhang1, Wei-guo Sun, Jia Fu
1School of Physics, Sichuan University, Chengdu 610065, China. abnormal_zy@163.com
Abstract:
The fixed order in the algebraic method (AM) suggested by Sun et al. is changed to be a flexible one in the vibrational energy expansion because the order of diatomic potential energy expansion may not be a constant. The AM with a flexible order was used to tackle the possible "butterfly effect" that may be encountered in spectroscopic computations, and to study the full vibrational levels {E(v)} and the dissociation energies D(e) for N2 - a'(1) sigma(u)(-), Li2(+) - 2 2sigma(g)(+), 4HeD(+) - X 1sigma(-) and 39K 85Rb- (2) 3sigma(+) electronic systems. The results reproduced all known experimental vibrational energies, and predicted correct dissociation energies and all unknown high-lying levels that may not be given if one uses original AM. The calculations showed that the modified AM can be extended to study the full vibrational spectra for many more diatomic systems.
Related Concept Videos
Molecular Spectroscopy: Absorption and Emission
Molecular Orbital Theory II
Bond Energies and Bond Lengths
IR Spectroscopy: Hooke's Law Approximation of Molecular Vibration
According to Hooke's law, the vibrational frequency is directly proportional to the...
Bond Dissociation Energy and Activation Energy
Force and Potential Energy in One Dimension

