It will be shown that the familiar components of the terms of a molecule; the energy of electronic motion, of the nuclear
vibration and of the rotation, correspond systematically to the terms of a power series in the fourth root of the ratio of
electron mass to (average) nuclear mass. The treatment yields among other things an equation for the rotation, which
represents a generalization of the treatment of Kramers and Pauli (top with built-in fly-wheel). Furthermore, there
appears a justification of the considerations of Franck and Condon on the intensity of band lines. The relationships
are illustrated for the diatomic molecule.
%0 Journal Article
%1 ANDP:ANDP19273892002
%A Born, M.
%A Oppenheimer, R.
%D 1927
%I WILEY-VCH Verlag
%J Annalen der Physik
%K energy mechanics perturbation physics potential quantum surface theory
%N 20
%P 457--484
%R 10.1002/andp.19273892002
%T Zur Quantentheorie der Molekeln
%U http://dx.doi.org/10.1002/andp.19273892002
%V 389
%X It will be shown that the familiar components of the terms of a molecule; the energy of electronic motion, of the nuclear
vibration and of the rotation, correspond systematically to the terms of a power series in the fourth root of the ratio of
electron mass to (average) nuclear mass. The treatment yields among other things an equation for the rotation, which
represents a generalization of the treatment of Kramers and Pauli (top with built-in fly-wheel). Furthermore, there
appears a justification of the considerations of Franck and Condon on the intensity of band lines. The relationships
are illustrated for the diatomic molecule.
@article{ANDP:ANDP19273892002,
abstract = {It will be shown that the familiar components of the terms of a molecule; the energy of electronic motion, of the nuclear
vibration and of the rotation, correspond systematically to the terms of a power series in the fourth root of the ratio of
electron mass to (average) nuclear mass. The treatment yields among other things an equation for the rotation, which
represents a generalization of the treatment of Kramers and Pauli (top with built-in fly-wheel). Furthermore, there
appears a justification of the considerations of Franck and Condon on the intensity of band lines. The relationships
are illustrated for the diatomic molecule.
},
added-at = {2013-06-16T05:50:45.000+0200},
author = {Born, M. and Oppenheimer, R.},
biburl = {https://www.bibsonomy.org/bibtex/2595e9d1cacfd4b3497f5612948fd4dcc/drmatusek},
doi = {10.1002/andp.19273892002},
interhash = {5cb87902f1089dc78089072508b02d9e},
intrahash = {595e9d1cacfd4b3497f5612948fd4dcc},
issn = {1521-3889},
journal = {Annalen der Physik},
keywords = {energy mechanics perturbation physics potential quantum surface theory},
note = {PDF of an english translation by S.M. Blinder is available.},
number = 20,
pages = {457--484},
publisher = {WILEY-VCH Verlag},
timestamp = {2013-10-04T18:02:15.000+0200},
title = {Zur Quantentheorie der Molekeln},
url = {http://dx.doi.org/10.1002/andp.19273892002},
volume = 389,
year = 1927
}