Effective magnetic field parameter theory

The water proton NMRD profiles of diferric iron transferrin (55) (Fig. 8) indicate a field dependent electron relaxation time with x of about 1.2 x 10 s. The fit must be done by taking into account a static ZFS, which results in a D parameter of about 0.2 cm and EjD = 1/3. The presence of ZFS is indicated by the additional inflection in the profile at about 10 MHz. In the fit, two sets of electron relaxation times (relative to ZFS axes and to external magnetic field axes) were taken into account to describe the low and the high field experimental data, the SBM theory being inadequate to describe the field dependence of the electron relaxation over the whole range of frequencies. Effective electron relaxation times of the order of 10 ° s have... 

Special attention is paid to transport properties (resistance and Hall effect) because they are very sensitive to external parameters being the base for working mechanisms in many types of sensors and devices. The magnetic field and temperature dependences of resistance and Hall effect are considered in the framework of the percolation theory. Various types of magnetoresistances such as giant and anisotropic ones as well as their mechanisms are under discussion. 

Abstract. Following a suggestion of Kostelecky et al. we have evaluated a test of CPT and Lorentz invariance from the microwave spectrosopy of muonium. Precise measurements have been reported for the transition frequencies U12 and 1/34 for ground state muonium in a magnetic field H of 1.7 T, both of which involve principally muon spin flip. These frequencies depend on both the hyperfine interaction and Zeeman effect. Hamiltonian terms beyond the standard model which violate CPT and Lorentz invariance would contribute shifts <5 12 and <5 34. The nonstandard theory indicates that P12 and 34 should oscillate with the earth s sidereal frequency and that 5v 2 and <5 34 would be anticorrelated. We find no time dependence in m2 — vza at the level of 20 Hz, which is used to set an upper limit on the size of CPT and Lorentz violating parameters. 

The report of the Meissner effect stimulated the London brothers to develop the London equations, which explained this effect, and which also predicted how far a static external magnetic field can penetrate into a superconductor. The next theoretical advance came in 1950 with the theory of Ginzburg and Landau, which described superconductivity in terms of an order parameter and provided a derivation for the London equations. Both of these theories are macroscopic or phenomenological in nature. In the same year, 1950, the... 

A Antisymmetrizing operator A Vector potential P First hyperpolarizability P Resonance parameter in semi-empirical theory B Magnetic field (magnetic induction) X, /r, A, cr Basis functions (atomic orbitals), ab initio or semi-empirical methods rraiipp inrliiflinp basis fiinrHon 7] An infinitesimal scalar rj Absolute hardness h Planck s constant H hjl K h Core or other effective one-electron operator hap Matrix element of a one-electron operator in AO basis Matrix element of a one-electron operator in semi-empirical theory... 

Fig. 21 Variation of the effective magnetic moment with temperature for 8.4% [Ti(OH2)5] cation doped into Cs[Ga(0H2)6](S04)2 6H2O. The curve labelled ligand field theory was calculated from the basis states of the Eg(Ss) term only with X = 130cm and k = 0.88. The curve labelled Jahn-TeUer fit was calculated with the same electronic parameters but allowing for Jahn-Teller coupling to two modes with energies of 53 and 894 cm [50]...

BPP (2) showed that the modulation of the intemuclear magnetic field by the translation and rotation of molecules is an effective mechanism for relaxation. The other important parameter in their theory besides the correlation time is the second moment or mean squared nuclear dipolar field seen by a nucleus (o-02) (14) ... 

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