Crystal Statistics of a Two-Dimensional Triangular Ising Lattice

Abstract

An example of a two-dimensional crystal in which each lattice point interacts with six neighbors is the so-called "triangular Ising lattice." The unit cell is a parallelogram with interactions along each of the sides and along the shorter diagonal. The thermodynamic properties of this lattice can be calculated for arbitrary interaction constants in the three independent directions by a simple extension of the procedure used previously by the author to solve the two-dimensional rectangular Ising lattice.