Numerade

Example 3

It is possible to express the magnetic susceptibility $\chi_{m}$ in several different units. For the discussion of this chapter, $\chi_{m}$ was used to designate the volume susceptibility in SI units, that is, the quantity that gives the magnetization per unit volume $\left(\mathrm{m}^{3}\right)$ of material when multiplied by $H$. The mass susceptibility $\chi_{m}(\mathrm{kg})$ yields the magnetic moment (or magnetization) per kilogram of material when multiplied by $H ;$ and, similarly, the atomic susceptibility $\chi_{m}(\text { a })$ gives the magnetization per kilogram-mole. The latter two quantities are related to $\chi_{m}$ through the relationships $$\begin{aligned}\chi_{m} &=\chi_{m}(\mathrm{kg}) \times \text { mass density }\left(\mathrm{in} \mathrm{kg} / \mathrm{m}^{3}\right) \\\chi_{m}(\mathrm{a}) &=\chi_{m}(\mathrm{kg}) \times \text { atomic weight }(\mathrm{in} \mathrm{kg})\end{aligned}$$ When using the cgs-emu system, comparable parameters exist, which may be designated by $\chi_{m}^{\prime}, \chi_{m}^{\prime}(\mathrm{g}),$ and $\chi_{m}^{\prime}(\mathrm{a})$; the $\chi_{m}$ and $\chi_{m}^{\prime}$ are related in accordance with Table 20.1 From Table $20.2, \quad \chi_{m}$ for copper is $-0.96 \times 10^{-5} ;$ convert this value into the other five susceptibilities.

Materials Science and Engineering: An Introduction

Summary

Example 1

Example 2

Example 3

Example 4

Example 5

Common Mistakes