Abstract
A determination procedure of transferable tight-binding parameters of extended Hückel approximation with charge self-consistency is explained, which is applicable to both molecules and crystalline solids. The parameters are adjusted by optimizing evaluation functions, compared with reference results of energy levels or band structure calculated by, for example, the density functional theory. By introducing the evaluation function, the automatic optimization of the parameters for small molecules and clusters is achieved, which makes it easy to determine an accurate parameter set and a wide application of the TB scheme. A practical procedure of parameter optimization is demonstrated for solid-state electrolytes of Li4GeS4 and Li3PS4.
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References
See a review, Thiel, W (2014) WIREs. Comput Mol Sci 4:145, and references therein.
Hoffmann R (1963) J Chem Phys 39:1397
Hoffmann R (1964) J Chem Phys 40:2474
Hoffmann R (1964) J Chem Phys 40:2745
Hoffmann R (1964) J Chem Phys 40:2480
Wolfsberg M, Helmholz L (1952) J Chem Phys 20:837
Calzafferi G, Rytz R (1996) J Phys Chem 100:11122
Anderson AB (1975) J Chem Phys 62:1187
Nath K, Anderson AB (1990) Phys Rev B41:5652
Elstner M, Porezag D, Jungnickel G, Elsner J, Haugk M, Frauenheim T, Suhai S, Seifert G (1998) Phys Rev B58:7260
Cerdá J, Soria F (2000) Phys Rev B61:7965
Nishino S, Fujiwara T, Yamasaki H, Yamamoto S, Hoshi T (2012) Solid State Ionics 225:22
Nishino S, Fujiwara T (2013) J Mol Model 19:2363
Tokuda H, Hayamizu K, Ishii K, Susan MABH, Watanabe M (2004) J Phys Chem B108:16593
Tokuda H, Hayamizu K, Ishii K, Susan MABH, Watanabe M (2005) J Phys Chem B109:6103
Abbott AP (2004) J Phys Chem 5:1242
Seki S, Kobayashi T, Kobayashi Y, Takaei K, Miyashiro H, Hayamizu K, Tsuzuki S, Mitsugi T, Umebayashi Y (2010) J Mol Liq 152:9
ELSES package is available at http://www.elses.jp
Frisch MJ, et al. (2009) Gaussian 09 Revision B 01. Gaussian, Inc., Wallingford
Nelder JA, Mead R (1965) Comp J 7:308
Nihino S, Fujiwara T, Yamasaki H (2014) Phys Rev B90:024303
Nishino S, Fujiwara T, Yamasaki H, Yamamoto S, Yamamoto S, Hoshi T (2011) The 62nd annual meeting of the International Society of Electrochemistry, Niigata
Anderson OK (1975) vol B12, p 3060
Anderson OK, Jepsen O, Glötzel D (1985) Highlights of condensed matter theory, North Holland
Dronskowski R, Blochl PE (1993) J Phys Chem 97:8617
Homma K, Yonemura M, Kobayashi T, Nagao M, Hirayama M, Kanno R (2011) Solid State Ionics 182:53
Kanno R, Hata T, Kawamoto Y, Irie M (2000) Solid State Ionics 130:97
Liu Z, Fu W, Payzant EA, Yu X, Dudney NJ, Kiggans J, Hong K, Rondinone AJ, Liang C (2013) J Am Chem Soc 135:975
Tachez M, Malugani JP, Mercier R, Robert G (1984) Solid State Ionics 14:181
Momma K, Izumi F (2011) J Appl Crystallogr 44:1272
Humphrey W, Dalke A, Schulten K (1996) J Mol Graph 14:33
Acknowledgments
The present work is partly supported by the Toyota Motor Corporation, and A-step project supported by JST. The numerical calculation was carried out partly at the Research Center for Computational Science, Okazaki, Japan, and the supercomputer centers at the ISSP, The University of Tokyo. 3D images of structure and MO were produced using VESTA [30] and VMD [31].
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Nishino, S., Fujiwara, T., Watanabe, N. et al. Parameter determination procedure for extended Hückel approximation and its application for solid-state electrolytes. J Mol Model 21, 169 (2015). https://doi.org/10.1007/s00894-015-2694-1
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DOI: https://doi.org/10.1007/s00894-015-2694-1