Molecules and Chains in a Strong Magnetic Field: Statistical Treatment
Abstract
A ThomasFermiDiracWeizsaecker statistical model is developed and employed to investigate diatomic molecules and infinite molecular chains in strong magnetic fields. The standard magnetic ThomasFermiDirac kinetic, potential, and exchange energy functionals are supplemented by a gradient correction to the kinetic energy. The numerical method used for solving this system in two spatial dimensions is detailed. Numerical solutions for a wide range of magnetic strengths and elements are presented to demonstrate the robustness, as well as the limitations, of the statistical approach. These calculations qualitatively reproduce many of the results of detailed quantum mechanical treatments. For example, the fractional binding energy is greatest for low atomic numbers and for strong magnetic fields.
 Publication:

The Astrophysical Journal
 Pub Date:
 November 1991
 DOI:
 10.1086/170711
 Bibcode:
 1991ApJ...382..233A
 Keywords:

 Diatomic Molecules;
 FermiDirac Statistics;
 Molecular Chains;
 Neutron Stars;
 Stellar Magnetic Fields;
 ThomasFermi Model;
 Field Strength;
 Kinetic Energy;
 Quantum Mechanics;
 Two Dimensional Models;
 Astrophysics;
 MOLECULAR PROCESSES;
 STARS: MAGNETIC;
 STARS: NEUTRON