Abstract
The static energetics of a wide variety polytypes for 17 kinds of metallic elements is systematically evaluated based on the computational method coupled with three theoretical tools (PGA: polytype generation algorithm; FPC-DFT: first-principle calculations based on the density functional theory; and ANNNI: axial next-nearest-neighbor Ising model). We present the ANNNI parameters including interactions up to the third-nearest neighbor layer with four-spin term that can illustrate various trends of structural and energetic properties for the metallic polytypes.
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The datasets generated during the current study are available from the corresponding author on reasonable request.
References
K. Moriguchi, K. Kamei, K. Kusunoki, N. Yashiro, N. Okada, J. Mater. Res. 28, 7 (2013)
R.C. Glass, D. Henshall, V.F. Tsvetkov, C.H. Carter Jr., Phys. Stat. Sol. 202, 149 (1997)
S. Iikubo, K. Matsuda, H. Ohtani, Phys. Rev. B 86, 054105 (2012)
L.B. Pártay, C. Ortner, A.P. Bartók, C.J. Pickard, G. Csányi, Phys. Chem. Chem. Phys 19, 19369 (2017)
C.H. Loach, G.J. Ackland, Phys. Rev. Let. 119, 205701 (2017)
E. Estevez-Rams, J. Martinez-Mojicar, Acta Cryst. A64, 529 (2008)
J.J.A. Shaw, V. Heine, J. Phys.: Condens. Matter 2, 4351 (1990)
E. Rodriguez-Horta, E. Estevez-Rams, R. Lora-Serrano, R. Neder, Acta Cryst. A73, 377 (2017)
H. Jagodzinski, Acta Crystallogr. 7, 300 (1954)
N. Bernstein, H.J. Gotsis, D.A. Papaconstantopoulos, M.J. Mehl, Phys. Rev. B 71, 075203 (2005)
M.T. Sebastian, P. Krishna, Random, Non-Random and Periodic Faulting in Crystals (Gordon and Breach, Amsterdam, 1994).
Y. Kawamura, K. Hayashi, A. Inoue, T. Masumoto, Mater. Trans. 42, 1172 (2001)
J.E. Saal, C. Wolverton, Acta Mater. 68, 325 (2014)
S. Ogane and K. Moriguchi, A consideration of total energetics for close-packed polytypes from viewpoint of atomistic interaction distance. Submitted in MRS Advances (under review, MRSA-D-20-00029).
S.J. Clark, M.D. Segall, C.J. Pickard, P.J. Hasnip, M.J. Probert, K. Refson, M.C. Payne, Z. Kristallogr. 220, 567 (2005)
D. Vanderbilt, Phys. Rev. B 41, 7892 (1990)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
S. Bağcı, H.M. Tütüncü, S. Duman, G.P. Srivastava, Phys. Rev. B 81, 144507 (2010)
Z. Fan, M. Bosman, X. Huang, D. Huang, Y. Yu, K.P. Ong, Y.A. Akimov, L. Wu, B. Li, J. Wu, Y. Huang, Q. Liu, C. Eng Png, C. Lip Gan, H. Zhang, Nat. Commun. 6, 7684 (2015)
J. Yeomans, Solid State Phys. 41, 151 (1988)
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Moriguchi, K., Miyakawa, T., Ogane, S. et al. ANNNI model descriptions on structural energetics for a wide variety of metallic polytypes composed of close-packed layers. MRS Advances 6, 163–169 (2021). https://doi.org/10.1557/s43580-021-00044-x
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DOI: https://doi.org/10.1557/s43580-021-00044-x