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Quantum study of the H3 system


Peng, Zhengwei (1991) Quantum study of the H3 system. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/6h1q-ve21.


In this thesis, an ab initio quantum; study of both electronic and nuclear motions of the H3 system is presented. Results of the ab initio calculations for the lowest four electronic potential energy surfaces of the H3 system are given, as well as for the electric dipole transition moments between them. The calculated Rydberg spectra compare well with previous calculations and with known experimental results. The ground state and the third excited state surfaces have been fitted using the rotated Morse cubic spline (RMCS) method. The ro-vibrational eigenstates of H3 on the upper sheet of the Double Many Body Expansion (DMBE) surface were calculated using a variational method and a new hyperspherical coordinate propagation method. The full P3 nuclear permutation symmetry and the molecular Aharonov-Bohm (MAB) (or geometric phase) effect were included in the hyperspherical coordinate propagation method. The MAB effect has a profound influence on the bound ro-vibrational states of the H3 system. The ro-vibrational bound states of H3 in the third excited 2pz 2A"2 electronic state were also studied. The Rydberg nature of this electronic state leads to ro-vibrational nuclear motion similar to that of the H+3 ion. The comparison between the calculated values of the ro-vibrational constants and the corresponding experimental results suggests that the 2pz 2A"2 RMCS surface still needs some improvement.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Kuppermann, Aron
Thesis Committee:
  • Unknown, Unknown
Defense Date:5 October 1990
Record Number:CaltechETD:etd-07192007-075643
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2932
Deposited By: Imported from ETD-db
Deposited On:02 Aug 2007
Last Modified:16 Apr 2021 22:21

Thesis Files

PDF (Peng_z_1991.pdf) - Final Version
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