Scattering matrix elements for the nonadiabatic collision B (²P_jₐ) + H₂ (¹Σ⁺_g, ν, ј) ↔ B (²P_j’ₐ) + H₂ (¹Σ⁺_g, ν’, j’).

Author

Luke A. Barger

Date of Award

12-10-2010

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Department of Engineering Physics

First Advisor

David E. Weeks, PhD.

Abstract

Scattering matrix elements are calculated for the nonadiabatic inelastic collision B (²P_jₐ) + H₂ (¹Σ⁺_g, ν, ј) ↔ B (²P_j’ₐ) + H₂ (¹Σ⁺_g, ν’, j’). This calculation utilizes the effective potential energy surfaces for this collision generated by Garvin along with a correction to the asymptotic H₂ potential. Wavepackets are propagated on these surfaces using a split-operator propagator. This propagation yields correlation functions between reactant and product Møller states which are used to calculate the scattering matrix elements with the channel packet method. These scattering matrix elements represent probability amplitudes for the collision to result in changes to the electronic fine structure and to the rotational and vibrational eigenstates of the H₂ molecule over a range of energies, and are presented, discussed and compared to previous work in which the hydrogen bond length was fixed at its equilibrium value. A method for approximating probability for the reaction B + H₂→BH + H as a function of collisional energy is presented.

AFIT Designator

AFIT-DS-ENP-10-S02

DTIC Accession Number

ADA536405

Recommended Citation

Barger, Luke A., "Scattering matrix elements for the nonadiabatic collision B (²P_jₐ) + H₂ (¹Σ⁺_g, ν, ј) ↔ B (²P_j’ₐ) + H₂ (¹Σ⁺_g, ν’, j’)." (2010). Theses and Dissertations. 1439.
https://scholar.afit.edu/etd/1439