Collision probability calculations of multiplication factors for lattices

A multigroup version of the method of successive generations is used to determine the multiplication factors of unmoderated and unreflected periodic lattices of identical fissile components. The lattice components must be one-dimensional (i.e. spheres, infinitely long cylinders or infinite slabs). Lattices of nearly one-dimensional components (cubes or long cylinders) may, however, be approximately treated. The lattice components may be arranged in a linear, planar or cuboidal manner; the permissible component arrangements being limited by the lattice component geometry.