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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

IMPACT FACTOR 2016: 1.432

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 0.403
Source Normalized Impact per Paper (SNIP) 2017: 0.632

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Volume 18, Issue 2


The Zero Point Energies of Isotopic Homologues and Isomers

Jacob Bigeleisen
  • Chemistry Department, Brookhaven National Laboratory, Upton, L. I., New York, and Eidg. Techn. Hochschule, Zürich 6, Switzerland
  • Other articles by this author:
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/ Paul Goldstein
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-1963-0217

An explicit formula is derived for the zero point energy of a system of coupled harmonic oscillators. It is shown that for the. case of isotopic homologues this leads to an approximate linear relation in the number of equivalent isotopic substituents. It is shown that the zero point energy differences of successive members of an isotopic homologous series increases with further substitution of the heavy isotope. Through a study of the parabolic deviations from the linear rule, it is shown that intermediate members of an isotopic homologous series form a better basis for interpolation and extrapolation than the end members. The appropriate intermediate members are given by the second order sum rule.

About the article

Received: 1962-11-26

Published Online: 2014-06-02

Published in Print: 1963-02-01

Citation Information: Zeitschrift für Naturforschung A, Volume 18, Issue 2, Pages 205–209, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-1963-0217.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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