Abstract
The variation of the critical temperature
T
c
of a magnetic crystal randomly diluted with non-magnetic atom s is evaluated as a function of dilution by a method which expands the susceptibility in a pow er series in the concentration
p
and extrapolates to find the radius of convergence. The method is applied to simple ferromagnetic Bravais lattices using the Ising and the Heisenberg models with spin and com pared with other methods. Values of the critical concentration when
T
c
(p)-> 0 are derived and discussed in relation to those obtained from lattice statistics. The method is extended to antiferromagnetic crystals by considering the divergence of the ‘staggered 5 susceptibility. In particular, results are obtained for the MnF
2
lattice for comparison with experiment.
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