Additional crystalline electric field potentials for heavy rare earth metals
A derivation is given of additional crystalline potential energy terms due to the interaction of conduction electrons with the localised electrons of ions in pure heavy rare earth metals. Explicit expressions for theA40 andA60 coefficients are given to supplement those ofA20 andA66 given in a recent paper. Additional contributions which arise from the unfilledf shells of the neighbours of any particular ion under consideration, are derived but shown to be of such a magnitude that, for most purposes, they can be neglected. The use of Slater orbitals in calculating enhancement factors forA40 andA60 is discussed with particular reference to those contributions which involve resonance amplitudes and mainly involve thef orbitals.
KeywordsNeural Network Potential Energy Complex System Nonlinear Dynamics Explicit Expression
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