The topic of this article is the explanation of magnetism as ordinarily observed — to wit, the magnetization of pieces of matter of ordinary dimensions — by ascribing magnetic moment to the individual molecules, atoms, and electrons of which matter is composed. For paramagnetic bodies it is postulated that the individual atoms are magnets of which the orientation, but not the strength, is altered in the presence of a magnetic field; the theory is so successful as to make it possible to calculate, from magnetization-curves, values for the magnetic moments of these atoms which agree admirably with those deduced from spectroscopic theory and from experiments of other types. For ferromagnetic bodies the same postulate is made, but it is necessary in addition to recognize the existence of huge interatomic forces of which very little is known, so that a large proportion of the science of ferromagnetism still lies beyond the scope of atomic theory. For diamagnetic bodies the phenomena are interpreted in a simple and effective manner, as an immediate corollary of the well-known structure of the atom.