Suppose that the total magnetic moment per cubic metre in a...

Suppose that the total magnetic moment per cubic metre in a spinel structure in which $\mathrm{Ni}^2$ iorts have replaced a portion of the $\mathrm{Fe}^{2+}$ ion is $4.6 \times 10^5 \mathrm{~A} . \mathrm{m}^{-1}$. Calculate the fraction of the $\mathrm{Fe}^{2+}$ lons that have been replaced and the wt\% Ni present in the spinel.

Key Concepts

Spinel Structure

A spinel structure is a common type of crystallographic arrangement typically found in certain oxides, characterized by a specific distribution of cations over tetrahedral and octahedral sites within the lattice. This concept is central in materials science and solid-state chemistry as it influences the magnetic and electrical properties of the material.

Magnetization

Magnetization refers to the total magnetic moment per unit volume of a material and is a key property in magnetism. It is used to quantify the response of a material to an external magnetic field, and in the context of ion substitution, changes in magnetization can indicate alterations in the composition and arrangement of magnetic ions.

Ion Substitution in Crystals

Ion substitution involves the replacement of one type of ion by another in a crystalline material without significantly altering its structure. This concept is important for tuning the physical properties of materials, such as magnetic behavior, by adjusting the type and concentration of the substituting ions.

Stoichiometric Calculations

Stoichiometric calculations are essential for determining the ratios of various ions in a compound, particularly when substitutions occur. These calculations allow for the quantitative analysis of how partial replacement of one ion by another affects the overall composition and properties of the material.

Weight Percent Calculation

Weight percent calculation is a method used to express the concentration of an element or compound in a mixture or material, based on its mass fraction. It is a fundamental concept in analytical chemistry and materials science, especially when converting atomic or molar ratios derived from substitution processes into more practical measures of composition.

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