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
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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{\textendash}spin coupling constants},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {111--122},
     year = {2011},
     volume = {167},
     number = {1},
     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
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
%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/

[1] A. Abragam, Yadernyi magnetizm, IL, M., 1969

[2] Ch. Slikter, Osnovy teorii magnitnogo rezonansa, Per. s angl., Izd. 2-e, Mir, M., 1981

[3] A. G. Lundin, E. I. Fedin, YaMR-spektroskopiya, Nauka, M., 1986

[4] V. G. Pokazanev, G. V. Skrotskii, L. I. Yakub, UFN, 116:7 (1975), 485–515 | DOI

[5] V. M. Dubovik, I. V. Lunegov, M. A. Martsenyuk, EChAYa, 26:1 (1995), 72–145

[6] A. R. Kessel, R. R. Nigmatullin, A. A. Khamzin, N. A. Yakovleva, TMF, 145:3 (2005), 411–419 | DOI | MR | Zbl

[7] A. A. Khamzin, R. R. Nigmatullin, TMF, 165:1 (2010), 160–176 | DOI | Zbl

[8] A. A. Khamzin, R. R. Nigmatullin, ZhETF, 138:6 (2010), 1163–1174

[9] J. Baugh, A. Kleinhammes, D. Han, Q. Wang, Y. Wu, Science, 294:5546 (2001), 1505–1508 | DOI

[10] E. B. Fel'dman, M. G. Rudavets, ZhETF, 125:2 (2004), 233–246 | DOI

[11] M. G. Rudavets, E. B. Feldman, Pisma v ZhETF, 75:12 (2002), 760–762 | DOI

[12] E. B. Fel'dman, M. G. Rudavets, Chem. Phys. Lett., 396:4–6 (2004), 458–464, arXiv: quant-ph/0409076 | DOI

[13] A. Abragam, M. Goldman, Yadernyi magnetizm: poryadok i besporyadok, Mir, M., 1984

[14] M. Goldman, Spinovaya temperatura i YaMR v tverdykh telakh, Mir, M., 1972

[15] M. V. Fedoryuk, Asimptotika: Integraly i ryady, Nauka, M., 1987 | MR | Zbl

[16] C. Scharf, Phys. Lett. A, 38:2 (1972), 123–124 | DOI

[17] B. V. Moschinskii, V. K. Fedyanin, TMF, 31:1 (1977), 101–106 | DOI

[18] R. Kubo, “A Stochastic Theory of Line Shape”, Stochastic Processes in Chemical Physics, Adv. Chem. Phys., 15, ed. K. E. Shuler, John Wiley Sons, Inc., Hoboken, NJ, USA, 1969, 101 | DOI

[19] S. A. Alshuller, B. M. Kozyrev, Elektronnyi paramagnitnyi rezonans soedinenii elementov promezhutochnykh grupp, Nauka, M., 1972 | MR