Magnetoelastic number

It determines the influence of the external magnetic field on the superparamagnetic filament. The number Bj compares dipolar to bending forces and it is proportional to the magnetoelastic number introduced in Refs [4, 73, 74]. An alternative dimensionless number for characterizing the influence of the magnetic field is the Mason number introduced in the literature on magnetorheological suspensions [75, 88],... 

Fig. 60. The variation of the basal plane cylindrical symmetry breaking magnetoelastic stress, Af p, at 10 K and at an applied magnetic field of 12 T, multiplied by (/iho + nLu)< as a function of n o (where ho and n y are the number of atomic planes in the Ho and Lu blocks, respectively) for (Ho /Lu 15)50 superlattices. The line indicates the fitting by the theoretical model. After Del Moral et al. (1998).

Bi = coefficients of operator equivalents in crystal field hamiltonian S = magnetoelastic coupling constant Bj(x) = Brillouin function B(q) = function entering spin-wave energy [see eq. (7.100)] e = (kT)- p = gmeHIkT c = c-axis lattice constant c = reciprical lattice constant C = basal plane elastic constant C] , C,-, = creation and annihilation operators for state m> on site 1 X = bulk susceptibility X, = atomic susceptibility x(d) - generalized wave number-dependent susceptibility function of conduction electrons... 

B = magnetoelastic coupling E = Young s modulus H = magnetic field //+I/2 = hyperbolic Bessel function J = quantum number... 

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