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Effects of Diffusion on Free Precession in Nuclear Magnetic Resonance Experiments Export

Physical Review Online Archive (Prola), Vol. 94, No. 3. (May 1954), pp. 630-638.

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Nuclear resonance techniques involving free precession are examined; and; in particular; a convenient variation of Hahn's spin-echo method is described. This variation employs a combination of pulses of different intensity or duration ("90-degree" and "180-degree" pulses). Measurements of the transverse relaxation time T 2 in fluids are often severely compromised by molecular diffusion. Hahn's analysis of the effect of diffusion is reformulated and extended; and a new scheme for measuring T 2 is described which; as predicted by the extended theory; largely circumvents the diffusion effect. On the other hand; the free precession technique; applied in a different way; permits a direct measurement of the molecular self-diffusion constant in suitable fluids. A measurement of the self-diffusion constant of water at 25°C is described which yields D =2.5(±0.3)×10 -5 cm 2 /sec; in good agreement with previous determinations. An analysis of the effect of convection on free precession is also given. A null method for measuring the longitudinal relaxation time T 1 ; based on the unequal-pulse technique; is described.


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