𝔖 Bobbio Scriptorium
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The physics of the born–oppenheimer approximation

✍ Scribed by H. Essén

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
747 KB
Volume
12
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A new derivation of the Born–Oppenheimer separation of electronic and nuclear motion is presented. The arguments used differ from those in earlier works in not being specially designed for molecules. Instead they aim at an intuitive understanding of the qualitative behavior of the low energy bound states of any, real or hypothetical, Coulomb interacting system of particles. The virial theorem is the starting point of the discussion. After a brief explanation of how it can be used to understand atomic structure it is applied to molecules. It is found that coordinates of collective and individual motion are natural coordinates for the approximate separation, rather than nuclear and electronic. It is also shown that it is the form of the interaction between the particles that is responsible for the separation; the smallness of m~et~/M~Nu~ is irrelevant.

📜 SIMILAR VOLUMES

Molecular structure and the born—Oppenhe
Molecular structure and the born—Oppenheimer approximation
✍ R.G. Woolley; B.T. Sutcliffe 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 697 KB

A discussion is attempted of the validity of the Born-Oppenheimer approximation which is characterized as an asymptotic analysis leading to a semiclassical theory of molecular structure. It is suggested that there are inherent defects in the resulting semiclassical theory which will limit its utilit

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Breakdown of the born—oppenheimer approximation in radiative transitions
✍ W.G. Breiland; C.B. Harris 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 711 KB

Evidence demojhstsating an explicit nuclear coordinate dependence bf efectr&c matrix e&&s in the tran&ion \_ moment for phosphorescence to the ground state'vibration~ maRifofd has been found for substituted benzenes by an opticaliy detected microwave double resonance esperimen:. Theoretical expressi