A003193 Magnetization for body-centered cubic lattice. (Formerly M0015)

1, 0, 0, 0, -2, 0, 0, -16, 18, 0, -168, 384, -314, -1632, 6264, -9744, -10014, 86976, -205344, 80176, 1009338, -3579568, 4575296, 8301024, -54012882, 112640896, -5164464, -694845120, 2160781086

Offset

0,5

References

C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 421.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=0..28.

C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)

M. F. Sykes, J. W. Essam and D. S. Gaunt, Derivation of low-temperature expansions for the Ising model of a ferromagnet and an antiferromagnet, J. Math. Phys. 6 (1965), 283-298.

M. F. Sykes, D. S. Gaunt, J. W. Essam and C. J. Elliott, Derivation of low-temperature expansions for Ising model. VI. Three-dimensional lattices-temperature grouping, J. Phys. A: Math. Nucl. Gen., 6 (1973), 1507-1516.

Index entries for sequences related to b.c.c. lattice

Crossrefs

Cf. A002929 (cubic), A003196 (f.c.c.), A002925 (ferromagnetic susceptibility), A003194 (antiferromagnetic susceptibility).

Sequence in context: A120556 A120560 A158465 * A108474 A120582 A003784

Adjacent sequences: A003190 A003191 A003192 * A003194 A003195 A003196

Keyword

sign,nice

Author

N. J. A. Sloane

Extensions

a(27)-a(28) from Sykes et al. (1973) added by Andrey Zabolotskiy, Feb 16 2022

Status

approved