A002923 -id:A002923 - cp's OEIS frontend

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

N. J. A. Sloane

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).

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.

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

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

Name clarified by Andrey Zabolotskiy, Nov 14 2024

A002922 Specific heat for diamond.

Original entry on oeis.org

0, 6, -12, -156, 1680, 21264, -592032, -5349216, 381679872, 1095380736, -384803443200, 2445989918208, 547003852781568

Offset: 1

N. J. A. Sloane

a(n)/(n!*(-4)^n) must be equal to a_n given in Table 2 of the Oitmaa's paper. Domb & Wood's a(1)-a(7) satisfy this relation, a(8) = -5712096 and a(9) = 390388992 do not. The terms in the Data section are unambiguously retrieved from a_n. The next term a(14) is approximately -10793475537844224. The last given digit of a_8 is probably a typo. - Andrey Zabolotskiy, Jun 18 2022

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

C. Domb and D. Wood, On high-temperature expansions for the Heisenberg model, Proc. Physical Soc., 86 (1965), 1-16.
J. Oitmaa, Diamond lattice Heisenberg antiferromagnet, J. Phys.: Condens. Matter, 30 (2018), 155801.
Index entries for sequences related to specific heat

Cf. A002923, A002165, A002167, A002169.

a(8)-a(9) corrected, a(10)-a(13) added by Andrey Zabolotskiy, Jun 18 2022 using Oitmaa's data

cp's OEIS Frontend

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

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