๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Frequency factors and isotope effects in solid state rate processes

โœ Scribed by George H. Vineyard


Publisher
Elsevier Science
Year
1957
Tongue
English
Weight
630 KB
Volume
3
Category
Article
ISSN
0022-3697

No coin nor oath required. For personal study only.

โœฆ Synopsis


The movement of defects in solids on the basis of classical absolute rate theory is reexamined with special attention to many-body aspects. The effective frequency in the Arrhenius expression governing these processes is shown to be, in harmonic approximation, the ratio of the product of the N normal frequencies of the entire crystaf at the starting point of a transition to the product of the N-l normal frequencies of the crystal when it is constrained in a saddle point configuration. The influence of the masses of the various atoms on the effective frequency is investigated. It is shown that an effective mass which depends on the direction of the path through the saddle point in configuration space determines this frequency. In the case of chemical diffusion by the vacancy mechanism the effective mass is approximately the same as the mass of the solute atom, and must always lie between the mass of the solute and the mass of the solvent. It is finally shown that the classical rate theory, even with many-body considerations, is unable to explain the recent observations of LAZARUS and OKKERSB on the isotope effect in the diffusion of iron in silver. *Work performed under the auspices of the U.S. Atomic Energy Commission.


๐Ÿ“œ SIMILAR VOLUMES


Solid-state NMR study of Schiff base der
โœ Z. Rozwadowski; W. Schilf; B. Kamieล„ski ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 111 KB

## Abstract Schiff base derivatives of 2โ€hydroxynaphthylaldehyde were studied by means of ^13^C and ^15^N crossโ€polarization magic angle spinning NMR spectroscopy and deuterium isotope effects on ^15^N chemical shifts, ฮ”N(D), in the solid state. ฮ”N(D) in the solid state provided evidenced for the p

Deuterium isotope effects on 15N chemica
โœ T. Dziembowska; K. Ambroziak; Z. Rozwadowski; W. Schilf; B. Kamieล„ski ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 95 KB

## Abstract The proton transfer equilibrium in a series of double Schiff base derivatives of __trans__โ€1,2โ€diaminocyclohexane in solution and the solid state was studied by means of ^15^N NMR spectroscopy and analysis of the deuterium isotope effect on the chemical shifts ฮ”^15^N(D). The presence of