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Spin Echo Analysis of Restricted Diffusion under Generalized Gradient Waveforms for Spherical Pores with Relaxivity and Interconnections
Author(s) -
Ryland Brett N.,
Callaghan Paul T.
Publication year - 2003
Publication title -
israel journal of chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.908
H-Index - 54
eISSN - 1869-5868
pISSN - 0021-2148
DOI - 10.1560/jf3q-url3-5u20-whly
Subject(s) - chemistry , waveform , spin echo , diffusion , attenuation , echo (communications protocol) , pulsed field gradient , nuclear magnetic resonance , pulse (music) , spin (aerodynamics) , concentration gradient , molecular physics , physics , thermodynamics , optics , magnetic resonance imaging , quantum mechanics , chromatography , medicine , computer network , voltage , detector , computer science , radiology
The problem of restricted diffusion in spherical pores is examined under conditions of finite gradient pulse width in pulsed gradient spin echo (PGSE)‐NMR experiments. Closed form analytic expressions are derived, and the case of interconnected pores is briefly examined. An expression, based on the pore hopping approximation, is presented that predicts the echo attenuation for diffusion between pores under any gradient waveform.