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Chinese journal of atomic and molecular physics

Deduceing of the quantization energy and the quantization electron orbits of hydrogen atom and Bohr's quantization condition of the steady orbits with the correspondence principle

Wang Wen-ze

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

The quantization energy and the quantization electron orbits of hydrogen atom and Bohr's quantization condition of the steady orbits (or the quantization condition of angular momentum) are educed with the correspondence principle.

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The Bohr model is historically important in the understanding of quantum physics. It gives many important results for the hydrogen atom including atomic size and ionization energy. It is sometimes referred to as a semi-classical calculation, because it includes the physics of angular momentum quantization without the full quantum mechanical description of an electron wave. It is tremendously useful for gaining physical intuition of the quantum nature of the atom. In the Bohr model of the hydrogen atom, an electron has a circular orbit with speed v and radius r about the proton. The Bohr quantization condition is that an integer number of electron (de Broglie) wavelengths must fit to the atomic circumference.