Average spin

Figure 10. Equivalent plot to Figure 9 except AE gives the energy difference between fully inverse spinel, i.e., antispinel (75-Mntet(Li5n/ )oct04 Sub = substitutional elements or Mn) and spinel (s-Litet(Mn5n/ )oct04). Also, the x axis is now the average spin on the tetrahedral Mn since there are two tetrahedral Mn per inverse spinel unit cell. All of the chemical substitutions replace 50% of the Mn ions. In the anti-spinel, all of the octahedral Mn are chemically substituted. In the spinel half of the octahedral Mn are chemically substituted.

This equation can be used to describe the dynamics of either a classical spin or the average spin value (i.e. the density matrix) of a spin-1/2. 

Hereby g = 2 is the gyromagnetic ratio, /jlb the Bohr magneton, J= 1.94 the average spin per Mn ion, Vcen the volume of the unit cell of LSMO, and J the spin of... 

Boltzmann factor) of finding the atom in the respective state. In the fast relaxation limit, the nucleus senses the average spin (actually the average Bint), obtained by thermally averaging the expectation values of the individual level, in the present case (Sz)th = SZ) +1/2 + + e AEIkT), where AE = g/ B is the Zeeman... 

An analysis of the integrated XMCD intensities gives the ratio of the angle averaged orbital to angle averaged spin magnetic moment... 

The addition of a 17th pulse j3y with rf amplitude to a MLEV-16 sequence of duration IdTj go results in an average spin-lock field... 

The fine-structure effect also results in a polarisation of the scattered electron. Since the spin-down electron is preferentially captured, the atomic spin-up electron is preferentially released, and the electron arriving at the detector has an average spin-up component, i.e. positive polarisation, and indeed... 

Fig. 35 Plots of weighed average spin (Ss, full lines) and magnetization at saturation (Msat, dotted lines) for percolation model for pentadecaradical 51 (plot A) and 22-radical 52 (plot B). The black, red, and green lines correspond to parameter p set to 1.0, 0.9, and 0.8, respectively.112 Reproduced with permission from Ref. 112. Copyright 2004 Am. Chem. Soc.

Rajca, A., Rajca, S. and Wongsriratanakul, J. (1999). Very high-spin organic polymer -conjugated hydrocarbon network with average spin of 5 40. J. Am. Chem. Soc. 121, 6308-6309... 

Fig. 8. Orientational dependence of the average (spin-independent) exchange interaction energy AE = Via) ,

An important macroscopic property of the magnet is its average spin or magnetization... 

Perform a Monte Carlo simulation of this system at fixed composition for a series of different temperatures and determine the transition temperature. To determine the thermodynamic state of the system it is necessary to monitor the average spin on each sublattice. For further details, see Ackermann et al. (1986), Diep etal. (1986) and Gahn (1986). 

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