Abstract
A method is described for finding the actual line shape of an absorption line, or the Bloch decay, in nuclear magnetic resonance, given only a limited number of moments of the line. The line shape found is the most probable one, given the information available. If only the second moment is known, for example, the most probable line shape is gaussian.
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References
F. Bloch, W.V. Hansen and M. Packard, Phys. Rev. 70 460, 474 (1946).
I.J. Lowe and R.E. Norberg, Phys. Rev. 107, 46 (1975)
A. Abragam, The Principles of Nuclear University Press, 1961.
L.J.F. Broer, Physica 10, 801 (1943).
J.H. Van Vleck, Phys. Rev. 74, 1168 (1949).
P.I. Richards, Manual of Mathematical Pergamon, Oxford, 1959, p. 286.
J.G. Powles and J.H. Strange, Proc. Phys. Soc. 82, 6–15 (1963).
G.E. Pake, J. Chem. Phys. 16, 327 (1948).
E.R. Andrew and R. Bersohn, J. Chem. Phys. 18, 159 (1950).
R. Bersohn and H.S. Gutowsky, J. Chem. Phys. 22, 651 (1954).
S. Clough and I.R. McDonald, Proc. Phys. Soc. 86, 833 (1965).
W.A.B. Evans and J.G. Powles, Physics Letters 24A, 218 (1967)
P. Borckmans and D. Walgraeff, Phys. Rev. 167, 167 (1968).
E.g. A. Katz, Principles of Statistical Mechanics: the information theory approach,Freeman, 1967, especially p. 84.
H. Jeffries, The Theory of Probability, Oxford University Press, 1961.
E.T. Whittaker and G.N. Watson, Modern Analysis, Cambridge, 1946, pp. 346–347.
M. Abramovitz and I.A. Stegun, Handbook of Mathematical Functions, Dover, 1965.
C.R. Bruce, Phys. Rev. 107, 43 (1957).
R.E. Norberg, private communication.
G.E. Pake, J. Chem. Phys. 16, 327 (1948).
B. Pederson and D.F. Holcomb, J. Chem. Phys. 38, 61 (1963).
J.W. McGrath, A.A. Silvidi and J.C. Carroll, J. Chem. Phys. 31, 1444 (1959).
D.F. Holcomb and B. Pederson, J. Chem. Phys. 38, 61 (1963).
J. Itoh, R. Kusaka, Y. Yamagata, R. Kiriyama and H. Ibamoto, J. Phys. Soc. Japan 8, 393 (1953).
H.S. Gutowsky, G.B. Kistiakowsky, G.E. Pake and E.M. Purcell, J. Chem. Phys. 17, 972 (1949).
P.W. Anderson and P.R. Weiss, Rev. Mod. Phys. 73, 679 (1953).
J.G. Powles and B.I. Hunt, Proc. Phys. Soc. 88, 513 (1966).
R. Bersohn and T.P.Das, Phys. Rev. 130, 98 (1963).
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© 1970 Plenum Press, New York
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Powles, J.G., Carazza, B. (1970). An Information Theory of Line Shape in Nuclear Magnetic Resonance. In: Coogan, C.K., Ham, N.S., Stuart, S.N., Pilbrow, J.R., Wilson, G.V.H. (eds) Magnetic Resonance. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7373-9_7
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DOI: https://doi.org/10.1007/978-1-4615-7373-9_7
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