An Atomic Model with Stationary Electrons

BOHR'S atomic model with its circling electrons appears at first sight quite incompatible with Lang-muir's model, in which the electrons are stationary or oscillate about fixed positions of equilibrium. Dr. Langmuir himself, however, has pointed out that a static atom possessing many of the properties of the Bohr atom is possible provided a force of repulsion equal to F = 1/mγ³.(nh/2π)² act between an electron (mass m, charge e) and a nucleus. Here n is an integer and h is Planck's constant. The distance γ of the electron from the nucleus in stable equilibrium is the same as the radius of a circular orbit corresponding to a stationary state in Bohr's theory. The total energy of the electron is also the same as that given by Bohr's theory. The frequency of oscillation about the position of equilibrium is identical with the frequency of revolution of the electron in the Bohr atom. Thus the Rydberg constant and the Balmer series can be deduced without assuming moving electrons.