The~NMR line shape of a~system of nuclear spins with equal spin--spin coupling constants
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 1, pp. 111-122
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We obtain an expression for the NMR line at low temperatures for a system of nuclear spins described by a Hamiltonian with equal spin–spin coupling constants. We show that in the case of “easy axis” anisotropy, the line has a logarithmic low-frequency singularity and an exponentially decreasing high-frequency asymptotic behavior at the temperature of an anomalous peak of heat capacity. In the case of “easy plane” anisotropy, the line has the traditional Gaussian form. We discuss the possibility of using NMR data to discover specific thermodynamic and magnetic properties of the considered model system.
Keywords:
spin–spin coupling, free induction decay, NMR line, magnetic ordered structure.
@article{TMF_2011_167_1_a5,
author = {A. A. Khamzin and R. R. Nigmatullin},
title = {The~NMR line shape of a~system of nuclear spins with equal spin--spin coupling constants},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {111--122},
publisher = {mathdoc},
volume = {167},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2011_167_1_a5/}
}
TY - JOUR AU - A. A. Khamzin AU - R. R. Nigmatullin TI - The~NMR line shape of a~system of nuclear spins with equal spin--spin coupling constants JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2011 SP - 111 EP - 122 VL - 167 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2011_167_1_a5/ LA - ru ID - TMF_2011_167_1_a5 ER -
%0 Journal Article %A A. A. Khamzin %A R. R. Nigmatullin %T The~NMR line shape of a~system of nuclear spins with equal spin--spin coupling constants %J Teoretičeskaâ i matematičeskaâ fizika %D 2011 %P 111-122 %V 167 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2011_167_1_a5/ %G ru %F TMF_2011_167_1_a5
A. A. Khamzin; R. R. Nigmatullin. The~NMR line shape of a~system of nuclear spins with equal spin--spin coupling constants. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 1, pp. 111-122. http://geodesic.mathdoc.fr/item/TMF_2011_167_1_a5/