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Bloch Equations with Diffusion Terms
Abstract
The phenomenological Bloch equations in nuclear magnetic resonance are generalized by the addition of terms due to the transfer of magnetization by diffusion. The revised equations describe phenomena under conditions of inhomogeneity in magnetic field, relaxation rates, or initial magnetization. As an example the equations are solved in the case of the free precession of magnetic moment in the presence of an inhomogeneous magnetic field following the application of a 90\ifmmode^\circ\else\textdegree\fi{} pulse with subsequent applications of a succession of 180\ifmmode^\circ\else\textdegree\fi{} pulses. The spin-echo amplitudes agree with the results of Carr and Purcell from a random walk theory.
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Cited by
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Basser, P. J., Mattiello, J., & LeBihan, D. (1994) · Biophysical Journal · doi:10.1016/s0006-3495(94)80775-1 · Cited by 5,970
Molecular diffusion, tissue microdynamics and microstructure
Bihan, D. L. (1995) · NMR in Biomedicine · doi:10.1002/nbm.1940080711 · Cited by 497
A microfabricated optically-pumped magnetic gradiometer
Sheng, D., Perry, A. R., Krzyzewski, S. P., Geller, S., Kitching, J., & Knappe, S. (2017) · Applied Physics Letters · doi:10.1063/1.4974349 · Cited by 179
NMR relaxation in tissues with weak magnetic inhomogeneities
Jensen, J. H., & Chandra, R. (2000) · Magnetic Resonance in Medicine · doi:10.1002/1522-2594(200007)44:1<144::aid-mrm21>3.0.co;2-o · Cited by 153
Chase, H. W., Segreti, A. M., Keller, T. A., Cherkassky, V. L., Just, M. A., Pan, L. A., & Brent, D. A. (2017) · Journal of Affective Disorders · doi:10.1016/j.jad.2017.01.013 · Cited by 78
Metadata
- Authors
- Torrey, H. C.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1956-11-01
- Volume
- 104
- Issue
- 3
- Pages
- 563-565
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W1970439684
- Cited by
- 1,216
- References
- 0
- FWCI
- 1.41
- Type
- journal article
- Language
- en
- Open access
- closed
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