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_{2}RhZ (Z = Al, Ga, In, Si, Ge, Sn, Sb) Heusler alloys have been studied by using first-principles calculations. Three half-metallic ferromagnets, namely, Mn

_{2}RhAl, Mn

_{2}RhGe and Mn

_{2}RhSb have been considered. The calculated equilibrium lattice constant increases with increasing atomic number of Z atoms lying in same column of periodic table. The calculated total magnetic moments M

_{B}/f.u. for Mn

_{2}RhAl and Mn

_{2}RhGa, 3 μ

_{B}/f.u. for Mn

_{2}RhSi, Mn

_{2}RhGe and Mn

_{2}RhSn, and 4 μ

_{B}/f.u. for Mn

_{2}RhSb, which agrees with the Slater-Pauling curve quite well. In all these compounds, except for Mn

_{2}RhSb, the moments of Mn (A) and Mn (B) are antiparallel to each other. The total magnetic moments of the three considered half-metals assume integral values in a wide range of equilibrium lattice parameters.

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