195 research outputs found
Model of molecular bonding based on the Bohr-Sommerfeld picture of atoms
We develop a model of molecular binding based on the Bohr-Sommerfeld
description of atoms together with a constraint taken from conventional quantum
mechanics. The model can describe the binding energy curves of H2, H3 and other
molecules with striking accuracy. Our approach treats electrons as point
particles with positions determined by extrema of an algebraic energy function.
Our constrained model provides a physically appealing, accurate description of
multi-electron chemical bonds.Comment: 5 pages, 7 figures, to appear in Physics Letters
Quantum number dimensional scaling analysis for excited states of multielectron atoms
A new dimensional scaling method for the calculation of excited states of
multielectron atoms is introduced. By including the principle and orbital
quantum numbers in the dimension parameter, we obtain an energy expression for
excited states including high angular momentum states. The method is tested on
He, Li, and Be. We obtain good agreement with more orthodox quantum mechanical
treatments even in the zeroth order.Comment: Submitted to Physical Review A, 13 pages, 6 Table
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