The saturation magnetization Mmax of the ferromagnetic metal...

The saturation magnetization $M_{\max }$ of the ferromagnetic metal nickel is $4.70 \times 10^{5} \mathrm{~A} / \mathrm{m}$. Calculate the magnetic dipole moment of a single nickel atom. (The density of nickel is $8.90 \mathrm{~g} / \mathrm{cm}^{3}$, and its molar mass is $58.71 \mathrm{~g} / \mathrm{mol}$.)

Key Concepts

Atomic Number Density

Atomic number density defines the number of atoms within a given volume and is derived by using the material’s density and molar mass along with Avogadro's number. This concept is crucial in correlating macroscopic properties, like magnetization, with microscopic properties, such as the magnetic moment per atom.

Molar Mass and Density Relations

The relationship between molar mass, density, and Avogadro's number allows one to calculate the number of atoms in a specified volume of a material. By dividing the material's density by its molar mass and then multiplying by Avogadro's number, one obtains the atomic number density, which is essential for converting bulk magnetic properties to per-atom quantities.

Saturation Magnetization

Saturation magnetization refers to the maximum magnetic moment per unit volume that a ferromagnetic material can attain when all its magnetic moments are fully aligned. It is a bulk property expressed in amperes per meter (A/m) and encompasses the cumulative contribution of individual atomic magnetic moments in the material.

Magnetic Dipole Moment

The magnetic dipole moment is a measure of the strength and orientation of a magnet’s ability to produce a magnetic field. At an atomic level, it represents the contribution of electron spins and orbital angular momenta to the net magnetism of an atom. Determining the dipole moment of an individual atom involves relating the macroscopic magnetization to the number of atoms per unit volume.

Transcript

Please give Ace some feedback