Prog. Theor. Phys. Vol. 51 No. 4 (1974) pp. 1019-1029
Theory of Line Shape in Nuclear Magnetic Resonance
Department of Chemistry, Faculty of Science, Kanazawa University, Marunouchi, Kanazawa
(Received September 12, 1973)
The line shape theory of nuclear magnetic resonance is presented based on the linear response approximation, in which the retarded Green's function of magnetization vectors plays a central role. To estimate this the corresponding temperature Green's function, which is ordered with respect to the imaginary time, is first investigated with the diagram method, then the desired retarded one is obtained by analytical continuation.
The results obtained are as follows: The main line is Lorentzian at the vicinity of the resonance frequency and is Gaussian at the wings. Satellite lines are also given with similar shapes and reasonable intensities.
DOI : 10.1143/PTP.51.1019
F. Bloch, Phys. Rev. 70 (1946), 460[APS].
N. Bloembergen, E. M. Purcell and P. V. Pound, Phys. Rev. 73 (1948), 679[APS].
J. H. Van Vleck, Phys. Rev. 74 (1948), 1168[APS].
R. K. Wangsness and F. Bloch, Phys. Rev. 89 (1953), 728[APS].
F. Bloch, Phys. Rev. 102 (1956), 13[APS].
R. Kubo and K. Tomita, J. Phys. Soc. Jpn. 9 (1954), 45[JPSJ].
F. Lado, J. D. Memory and G. W. Parker, Phys. Rev. B 4 (1971), 1406[APS].
- K. Tomita and M. Tanaka, Prog. Theor. Phys. 29 (1963), 528[PTP].
M. Tanaka and K. Tomita, Prog. Theor. Phys. 29 (1963), 651[PTP].
P. Mansfield, Phys. Rev. 151 (1966), 199[APS].
- A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems, Chapter 15 (McGraw-Hill, 1971).
C. Heller, J. Chem. Phys. 36 (1962), 175[CrossRef].