Exact solution of the Torrey-Bloch equation for a spin echo in restricted geometries

被引：41

作者：

Barzykin, AV ^{[1
]}

机构：

[1] Natl Inst Mat & Chem Res, Ibaraki 3058565, Japan

来源：

PHYSICAL REVIEW B | 1998年 / 58卷 / 21期

关键词：

D O I：

10.1103/PhysRevB.58.14171

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An exact analytical solution is presented for the magnetization density of spins diffusing in a bounded region under a steady gradient field and, as a result, for any step-wise gradient pulse sequence, in terms of the Green's function of the diffusion operator. A simple two-mode approximation to the exact formula is derived and shown to be consistently preferable to any of the existing approximations providing reliable fitting functions for most of the gradient NMR applications. [S0163-1829(98)05246-1].

引用

收藏

页码：14171 / 14174

页数：4

相关论文

共 21 条

[1]

[Anonymous], 1996, Annual Reports on NMR Spectroscopy

[2] THE EFFECT OF FINITE DURATION OF GRADIENT PULSES ON THE PULSED-FIELD-GRADIENT NMR METHOD FOR STUDYING RESTRICTED DIFFUSION [J].

BLEES, MH .

JOURNAL OF MAGNETIC RESONANCE SERIES A, 1994, 109 (02) :203-209

[3]

Callaghan P.T., 1991, Principles of nuclear magnetic resonance microscopy, V1st

[4] DIFFRACTION-LIKE EFFECTS IN NMR DIFFUSION STUDIES OF FLUIDS IN POROUS SOLIDS [J].

CALLAGHAN, PT ;

COY, A ;

MACGOWAN, D ;

PACKER, KJ ;

ZELAYA, FO .

NATURE, 1991, 351 (6326) :467-469

[5] A simple matrix formalism for spin echo analysis of restricted diffusion under generalized gradient waveforms [J].

Callaghan, PT .

JOURNAL OF MAGNETIC RESONANCE, 1997, 129 (01) :74-84

[6] DIFFUSION IN POROUS SYSTEMS AND THE INFLUENCE OF PORE MORPHOLOGY IN PULSED GRADIENT SPIN-ECHO NUCLEAR-MAGNETIC-RESONANCE STUDIES [J].

CALLAGHAN, PT ;

COY, A ;

HALPIN, TPJ ;

MACGOWAN, D ;

PACKER, KJ ;

ZELAYA, FO .

JOURNAL OF CHEMICAL PHYSICS, 1992, 97 (01) :651-662

[7] A multiple-narrow-pulse approximation for restricted diffusion in a time-varying field gradient [J].

Caprihan, A ;

Wang, LZ ;

Fukushima, E .

JOURNAL OF MAGNETIC RESONANCE SERIES A, 1996, 118 (01) :94-102

[8] THE VALIDITY OF THE SHORT-GRADIENT-PULSE APPROXIMATION IN NMR-STUDIES OF RESTRICTED DIFFUSION - SIMULATIONS OF MOLECULES DIFFUSING BETWEEN PLANES, IN CYLINDERS AND SPHERES [J].

LINSE, P ;

SODERMAN, O .

JOURNAL OF MAGNETIC RESONANCE SERIES A, 1995, 116 (01) :77-86

[9] EFFECTS OF FINITE GRADIENT-PULSE WIDTHS IN PULSED-FIELD-GRADIENT DIFFUSION MEASUREMENTS [J].

MITRA, PP ;

HALPERIN, BI .

JOURNAL OF MAGNETIC RESONANCE SERIES A, 1995, 113 (01) :94-101

[10] DIFFUSION PROPAGATOR AS A PROBE OF THE STRUCTURE OF POROUS-MEDIA [J].

MITRA, PP ;

SEN, PN ;

SCHWARTZ, LM ;

LEDOUSSAL, P .

PHYSICAL REVIEW LETTERS, 1992, 68 (24) :3555-3558