Hall tensor

The tensor components shown in columns 2-5 are obtained by expanding the tensor component in column 1 in powers of B, as in eqs. (15.4.34) and (15.4.35). The Hall tensor pm is also commonly denoted by Rikl. A dash means that there is no common name for that property. 

For other point groups this analysis of the symmetry properties of a 7 (3)ax can be repeated, or alternatively tables given by Bhagavantam (1966) or Nowick (1995) may be consulted. The Hall tensor pM (and likewise the Leduc-Righi tensor kud) is also a T(3)ax tensor but differs from the Nemst tensor in that pik is symmetric and pi1d Bt pk,i(—Bi) so that the blocks P uc,i are antisymmetric with respect to i < > k. This follows from the ORRs and is... 

In metals, where there is only one type of charge carrier, the Hall coefficient, Rb = (Ey / jxB), is very useful for measuring both the carrier density and the magnetic field B. Since the secondary field Ey and B are orthogonal, the Hall effect is a transverse effect and the Hall tensor is of rank three. It relates the axial vector Bj. to the antisymme-trical second-rank tensor Ey, which is equivalent to p yjx, where p y = PxyzBz-... 

J. S. Griffith, The Irreducible Tensor Method for Molecular Symmetry Groups, Prentice-Hall, Englewood Cliffs, NJ, 1962, p. 20. 

Borisenko, A. I. and Taropov, 1. E., Vector and Tensor Analysis with Applications, Prentice-Hall, Englewood Cliffs, New Jersey (1968). 

B. Vectors, Tensors, and the Basic Equations of Fluid Mechanics. Englewood Cliffs, NJ Prentice-Hall, 1962. Reprinted, New York Dover, 1989. 

The paramagnetic Ni-C state is a part of the catalytic cycle and has the redox state Ni(III)Fe(II). Hall et al. proposed that the ligand X in Ni-C is an H atom and one of the cysteine residues is protonated, based on a comparison between their DFT study and experimental data.51,62-64 Other groups have come to the same conclusion.51,52,55 Recently, however, Stein et al. have stated a slightly different opinion. Based on g- and hyperfme-tensor experimental data and their relativistic DFT calculations, Stein et al. conclude that Ni-C has no protonated cysteine residue.38... 

It was supposed, that each of the phases is characterized by two parameters the ohmic conductivity <7o(r) and the Hall factor p(r). However each of properties CTo(r) and p(r) from the conductivity tensor (285) admit of only two values Co = cii and p [5, in the first phase, cto = ct2 and p = p2 in the second phase. The essence of ideas described in [118,119] consists in linear transformations from the old fields (j,E) to new fields (j,E ) such that the macroscopic properties of the new system are equivalent to those of the original system. These transformations can be applied only to a two-dimensional system, since they do not then change the laws governing a direct current ... 

The irreducible tensor method for molecular symmetry groups. Prentice Hall 1962. 

Griffith, J. S. The irreducible tensor method for molecular symmetric groups. London-Tokyo-Sydney-Paris Prentice Hall International 1962... 

Temperature dependence of the Hall coefficient and resistivity tensor components. 

Voloshinskaya and Fedorov (1973) and Voloshinskaya and Bolotin (1974) investigated the possibility of a correlation between magneto-optical properties and the anomalous Hall effect. The conductivity tensor and the dielectric tensor are related by... 

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