摘要: Abstract The Luttinger-Tisza method and generalizations of this for determining the minimum energy spin arrangement in a crystal subject to certain strong conditions are reviewed. It is shown that one can always replace by set additional which simplest cases identical with single weak condition introduced method. A general calculating arrangement, based on space group symmetry magnetic atom arrangements, given, Niemeyer, permutation groups, be equivalent also known conjecture concerning periodicity sufficient, but not necessary, energy.