Density magnetization

The magnetization density is recovered by a two-dimensional Fourier transfonn of tlie data with respect to t... 

Stewart, R.F. (1980) Partitioning of Hartree-Fockatomic form factors into core and valence shells, In Electron and Magnetization Densities in Molecules and Crystals, Becker, P. (Ed.), Plenum Press, New York, pp. 427 131. 

This method has been used for the reconstruction of charge densities from X-ray data [1-3], for maps of nuclear densities from unpolarized neutron data [4-6] as well as for distributions of spin (magnetization) density [7-9].The density... 

The reconstruction of the magnetization density was done by the MaxEnt method with a uniform prior. The projection on the basal plane is shown in Figure 2. Besides a small contribution at the origin due to the Y substituted by cobalt pairs, the magnetization is well localized on the five atoms of the two cobalt sites. 

Figure 3. YCo5 magnetization density of the magnetic atomic model.

Dobrzynski, L., Papoular, R.J. and Sakata, M. (1995) Internal magnetization density distributions of iron and nickel by the maximum entropy method, J. Phys. Soc. Japan, 65, 255-263. 

Warren, P., Forsyth, J.B., McIntyre, GJ. et al. (1992) A single-crystal neutron diffraction study of the magnetization density in Fe2Zx, J. Phys. Cond. Mat., 4, 5795-5800. 

If we denote by cf>(r, t) the magnetization density, the dynamics of the system is governed by the following stochastic equation ... 

In most cases of interest, the spin density is collinear that is, the direction of the magnetization density m(7) is the same over the space occupied by the system it is customary to identify this as the -direction. The Hamiltonian is then diagonal if the external potential is diagonal, which allows one to decouple the spin f and spin J, components of the spinors and to obtain two... 

Coppens, P., Thermal Smearing and Chemical Bonding, in Electron and Magnetization Densities in Molecules and Solids, P. J. Becker (ed.), Plenum Press New York (1980), p. 521. 

There are correspronding results for Qy,Qz and again the L and S parts differ by two orders of magnitude, the large parts reproducing the densities obtained in 2-component Pauli approximation (cf. (9) et seq.). When the curl of the corresponding magnetization density is added to (43), for the case = 1, we obtain the Dirac current density which already includes the spin term. 

In Chap. A, we have seen that, in the Stoner model, (ferromagnetic) spin-polarization of electrons originates two electron states E+ and E from each electron state E of a non-spin-polarized electron band, the difference between the two being (E+ - E ) = Im, where I is the Stoner parameter and m = n+ - n is the magnetization density. 

The Zemach correction is essentially a nontrivial weighted integral of the product of electric and magnetic densities, normalized to unity. It cannot be measured directly, like the rms proton charge radius which determines the main proton size correction to the Lamb shift (compare the case of the proton size correction to the Lamb shift of order Za) in (6.13) which depends on the third Zemach moment). This means that the correction in (11.4) may only conditionally be called the proton size contribution. 

Here, all the extensive densities are treated as conserved quantities. This is not the general case. For example, polarization and magnetization density are not conserved. It can be shown that for nonconserved quantities, additional terms will appear on the right-hand side of Eq. 2.11. 

L. Benjamin, Partial molal volume changes during micellization and solution of nonionic surfactants and perfluorocarboxulates using a magnetic density balance, J. Phys. Chem. 70 (1966) 3790-3797. 

Magnetic.—Density circa 14. The magnetic property appears to bear some relation to the percentage of iron contained in the alloy, but strict proportionality in n way exists.1 Some specimens of native platinum from the Urals, indeed, are said to attract iron filings even more powerfully than an ordinary magnet. 

A double sulphide of iron and chromium, FeS.Cr2S3, occurs as the rare mineral daubreelite11 associated with troilite. It possesses a brilliant metallic lustre, is black in colour, but not magnetic. Density 5 0. 

Ferrous sulphide has a bluish black appearance, reminiscent of that of magnetic oxide, but it is not magnetic. Density 4 67. It is stable when heated in hydrogen or in the absence of air, but when heated in air it readily oxidises to ferrous sulphate, whilst at red heat all the sulphur is expelled, red ferric oxide remaining. 

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