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th  - 1988 - 51st ENC Conference

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104<br />

TAYLOR TRANSFORMATION OF 2D NMR "Um SERIES<br />

FROM TIME DIMENSION TO POLYNOMIAL DIMENSION<br />

FOR CONVENIENT DETERMINATION OF CROSS<br />

RELAXATION RATES IN NOESY SPECTRA<br />

Sven G. Hyberts* & Gerhard Wagner<br />

Biophysics Research Division, IST; University of Michigan;<br />

2200 Bonisteel Blvd; Ann Arbor, MI 48109<br />

A series of 14 NOESY specra wi<strong>th</strong> 1;m values ranging from 10 ms to 75 ms, was<br />

subject to a point-by-point Taylor transformation around l:m=0. This yields a<br />

zero-order spectrum containing <strong>th</strong>e diagonal and base-line offset, a 1st-order<br />

spectrum containing only <strong>th</strong>e cross relaxation rates and a 2nd-order spectrum<br />

containing <strong>th</strong>e spin-diffusion and Tl-relaxation effects. To improve <strong>th</strong>e signal-<br />

to-noise ratio we have truncated <strong>th</strong>e Taylor expansion after <strong>th</strong>e second order<br />

term. The cross relaxation rate can now be determined directly by integration of<br />

<strong>th</strong>e desired cross-peak in <strong>th</strong>e 1st-order spectrum. In <strong>th</strong>e usual approach, <strong>th</strong>e<br />

selected cross-peak has to be integrated in each 2D spectrum and <strong>th</strong>en, <strong>th</strong>e<br />

build-up curve has to be fitted to determine <strong>th</strong>e cross relaxation rate. This is<br />

quite labour intensive for a macromolecule wi<strong>th</strong> many cross-peaks preventing<br />

<strong>th</strong>e quantitative analysis of NOESY spectra in most structural work sofar. The<br />

me<strong>th</strong>od proposed provides a more convenient measurement of <strong>th</strong>e cross<br />

relaxation Pates and may <strong>th</strong>us encourage quantitative analysis of NOESY<br />

spectra.<br />

- - lOS<br />

I<br />

EVALUATION OF DOUBLE TUNED CIRCUITS USED IN NMR: Toby Zens*<br />

Varian Associates, Palo Alto, CA 94303<br />

Double tuned circuits are frequently used in NMR probes as a<br />

simple means of exciting and detecting nuclei in a single coil<br />

device. General examples of different double tuned<br />

will be examined in terms of efficiency and<br />

application to NMR probes. Examples will include<br />

used in CPMAS and surface coil probes.<br />

151<br />

circuits<br />

practical<br />

circuits

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