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In this paper finite bcc lattices are defined by a triple of vectors in twodifferent ways - upper triangular lattice form and compact form. In Appendix Aare lists of some 260 distinct and useful bcc lattices of 9 to 32 vertices. Theenergy and magnetization of the S = 1/2 XY ferromagnet have been computed onthese bcc lattices in the lowest states for $S_z$ = 0, 1/2, 1 and 3/2. Thesedata are studied statistically to fit the first three terms of the appropriatefinite lattice scaling equations. Our estimates of the T = 0 energy andmagnetization agree very well with spin wave and series expansion estimates.Comment: 19 pages, 3 figures, accepted to EJP

Exact diagonalization of the S = 1/2 XY ferromagnet on finite bcc lattices to estimate T = 0 properties on the infinite lattice