Classical ground states of spin lattices

We present a generalization of the Luttinger-Tisza-Lyons-Kaplan (LTLK) theory classical ground states Bravais lattices with Heisenberg coupling to non-Bravais lattices. It consists adding certain Lagrange parameters diagonal Fourier transformed matrix analogous general state problem already published. This approach is illustrated by an application modified honeycomb lattice, which has exclusive three-dimensional as well spin-liquid for different values two constants. Another example, square shows that we can also obtain so-called incommensurable our method.