A003119 High-temperature series for spin-1/2 Ising magnetic susceptibility on diamond structure.

1, 4, 12, 36, 108, 324, 948, 2772, 8076, 23508, 67980, 196548, 566820, 1633956, 4697412, 13501492, 38742652, 111146820, 318390684, 911904996, 2608952940, 7463042916, 21328259716

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• more

References

• C. Domb, Ising model, in Phase Transitions and Critical Phenomena, vol. 3, ed. C. Domb and M. S. Green, Academic Press, 1974; p. 381.
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• C. Domb, Ising model, Phase Transitions and Critical Phenomena 3 (1974), 257, 380-381, 384-387, 390-391, 412-423. (Annotated scanned copy)
• J. W. Essam and M. F. Sykes, The crystal statistics of the diamond lattice, Physica, 29 (1963), 378-388.
• D. S. Gaunt and M. F. Sykes, Estimation of Critical Indices for the Three-Dimensional Ising Model, J. Phys. A 6 (1973), 1517-1526.
• Peter Young, Coefficients in the series expansions.

Crossrefs

Cf. low-temperature: A003220 (ferromagnetic), A007216 (antiferromagnetic); A002913 (cubic structure); A002923 (Heisenberg model).

Extensions

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Mar 01 2008

Name clarified by Andrey Zabolotskiy, Nov 14 2024