Relation of Antiferromagnetic Structure to the Binding Energies of Some b.c.c. Transition Metals

Zener's theory of antiferromagnetic structure for V, Cr, Nb, Mo, Ta, and W is discussed from the point of view of binding energy. According to such a picture the large binding energies must come from coulomb interaction between cores. The importance of the outer $d$ electrons in achieving large coulomb attraction is pointed out. A mathematical scheme for treating binding energy in the case of extensive overlap of cores is discussed. By dismissing the contribution of a Wigner-Seitz type calculation, the remaining contributions to the binding energy of tungsten are calculated at the observed lattice constant. Results obtained demonstrate the importance of the coulomb attractive energy in an antiferromagnetic structure.