scholarly journals The appearance of an interval of energies that contain the whole diamagnetic contribution to NMR magnetic shieldings

2007 ◽  
Vol 127 (15) ◽  
pp. 154115 ◽  
Author(s):  
Alejandro Maldonado ◽  
Gustavo A. Aucar

One of the earliest applications of the Fermic-Dirac statistics was that of pauli to the treatment of the paramagnetism, due to the electron spin, of an electron gas. The result he obtained, for low temperatures, may be put in the form M p = 3/2 Nμ 2 H/ε 0 , where M p is the total magnetic moment due to the spin effect, N the number of electrons, μ the Bohr magneton, and ε 0 the maximum electron energy in the completely degenerate state. It was later shown by Landau that electrons, apart from the spin effect, gave a diamagnetic contribution to the susceptibility. The diamagnetic effect (which is zero on a classical basis) arises from the discreteness of the energy states of an electron in a magnetic field. For low temperatures the result obtained is M D = -½ Nμ 2 H/ε 0 , where M D is the diamagnetic contribution to the moment. The spin effect was further considered by Bloch, who gave, as a higher approximation at low temperatures, M P = 3/2 Nμ 2 H/ε 0 {1-π 2 /12( k T/ε 0 ) 2 }.


Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1237
Author(s):  
Dmitry Antonov

We present an analytic calculation of the paramagnetic and diamagnetic contributions to the one-loop effective action in the SU(2) Higgs model. The paramagnetic contribution is produced by the gauge boson, while the diamagnetic contribution is produced by the gauge boson and the ghost. In the limit, where these particles are massless, the standard result of - 12 for the ratio of the paramagnetic to the diamagnetic contribution is reproduced. If the mass of the gauge boson and the ghost become much larger than the inverse vacuum correlation lengths of the Yang–Mills vacuum, the value of the ratio goes to - 8 . We also find that the same values of the ratio are achieved in the deconfinement phase of the model, up to the temperatures at which the dimensional reduction occurs.


1997 ◽  
Vol 19 (4) ◽  
pp. 265-267
Author(s):  
M. A. Grado-Caffaro ◽  
M. Grado-Caffaro

An expression for the magnetic susceptibility tensor corresponding to diamagnetic contribution in tetrahedrally bonded semiconductors is derived; this formulation refers to the crystalline state. In addition, a comparison with the amorphous case is outlined.


2007 ◽  
Vol 76 (19) ◽  
Author(s):  
M. M. Glazov ◽  
E. L. Ivchenko ◽  
O. Krebs ◽  
K. Kowalik ◽  
P. Voisin

1977 ◽  
Vol 67 (7) ◽  
pp. 3126-3132 ◽  
Author(s):  
U. M. Titulaer ◽  
B. U. Felderhof

Author(s):  
Е.П. Скипетров ◽  
Н.С. Константинов ◽  
Л.А. Скипетрова ◽  
А.В. Кнотько ◽  
В.Е. Слынько

AbstractThe field and temperature dependences of the magnetization (magnetic fields B ≤ 7.5 T, temperatures T = 2.0–75 K) of samples from a Pb_1– x – y Sn_ x V_ y Te ( x = 0.08, y = 0.01) single-crystal ingot synthesized by the Bridgman–Stockbarger method. It is established that the sample magnetization contains two main contributions, notably, the paramagnetism of vanadium ions and diamagnetism of the crystal lattice. The field and temperature dependences of the magnetization are approximated by the sum of modified Brillouin functions corresponding to the paramagnetic contributions of vanadium in two different charge states and the diamagnetic contribution linear in terms of field. The concentrations of vanadium ions in two different magnetic states and the character of their variation along the ingot are determined within the scope of the alloy’s electronic-structure rearrangement because of doping. The results are compared with the data of X-ray fluorescence microanalysis and the results of studying the galvanomagnetic properties of the samples.


1980 ◽  
Vol 58 (8) ◽  
pp. 767-771
Author(s):  
Prabhat K. K. Pandey ◽  
P. Chandra

Magnetic susceptibilities of small hydrocarbons and water are calculated by employing gauge-invariant atomic orbitals within MINDO/3 approximation. A comparison with available INDO calculations indicates that MINDO/3 gives reasonable values for diamagnetic contribution, but in general overestimates the paramagnetic contribution to magnetic susceptibility.


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