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Proof that gmT2 is the reciprocal of gmR2

✍ Scribed by Thorarin A. Bjarnason


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
154 KB
Volume
38A
Category
Article
ISSN
1546-6086

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

When performing multiexponential analysis of relaxation times in the slow exchange regime, it is often convenient to simplify the resulting distribution to one or more relaxation time constants. In doing so, what averaging method should be used and should the rate constant or time constant be reported? This note outlines why the geometric mean is most appropriate and provides a proof that the geometric mean rate and geometric mean time constants are reciprocals, which is counter‐intuitive unless one considers that averaging values in a distribution is different than physically averaging relaxation species. Β© 2011 Wiley Periodicals, Inc. Concepts Magn Reson Part A 38A: 128–131, 2011.


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