We present a new general numerical method to compute many Green's functions for complex non-singular matrices within one iteration process. The availability of efficient Krylov subspace solvers play a vital role for the solution of a variety of numerical problems in computational science. Possible explanations for the observed structural and magnetic behavior with various Mn content are discussed. An initial increase followed by a subsequent decrease of saturation magnetization with increase in x is observed. The trend of theoretically calculated lattice parameter with Mn content matches well with the experimentally obtained values. Based on the cation distribution obtained from XRD data, structural parameters such as lattice parameters, ionic radii of available sites, and the oxygen parameter “u” have been calculated.
The cation distribution of constituent ions shows linear dependence of Mn substitution. The crystal lattice constant increases gradually with increasing x from 8.389 to 8.473 Å. An analysis of XRD patterns reveals the formation of single-phase cubic spinel structure. The phase purity of the samples was investigated by X-ray diffraction (XRD).
The synthesized samples were annealed at 600 ☌ for 4 h. The ferrite samples of Ni0.7−xMnxZn0.3Fe2O4 (where x = 0.0–0.7 in steps of x = 0.1) were synthesized by a sol–gel autocombustion method using nitrates of respective metal ions.
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