Physics of the Solid State
Volumes and Issues
Potential energy surface and energy levels for OH valence vibrations in ferroelectric KH2PO4 from basic calculations
Abalmasov V. A.1
1Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Email: v.a.abalmasov@math.nsc.ru

PDF
Hydrogen-bonded ferroelectrics are distinguished by two stable positions of the hydrogen atom along the bond, corresponding to different signs of ferroelectric polarization. In this paper, the potential energy surface for a hydrogen atom along the hydrogen bond in KH2PO4 (KDP) is calculated using density functional theory (DFT) at fixed positions of other lattice atoms corresponding to the ferroelectric phase. This potential has one minimum and is strongly asymmetric for the mode A1, in contrast to the two-well potential calculated at the relaxed positions of the lattice atoms. The excitation energy for hydrogen atoms in this potential is close to the frequencies of OH valence vibrations obtained using DFT in the harmonic approximation, the sufficiency of which for light atoms, however, is not obvious in advance. As a result, the frequencies change in a similar way during deuteration, which is consistent with experimental data. At the same time, the frequencies of OH valence vibrations soften under pressure, which is very unusual and reflects the presence of two stable proton positions along the bond. These results can be applied to other materials with hydrogen bonds. Keywords: hydrogen bonds, OH valence vibrations, potential energy surface, ferroelectrics, KH2PO4.
  1. G.A. Jeffrey, W. Saenger. Hydrogen Bonding in Biological Structures. Springer, Berlin-Heidelberg (1991)
  2. S.J. Grabowski, ed. Hydrogen Bonding --- New Insights. Springer, Dordrecht, Netherlands (2006)
  3. A. Novak. In: Large Molecules. Structure and Bonding, Vol. 18. Springer, Berlin-Heidelberg (1974). pp. 177-216
  4. R.-B. Jin, N. Cai, Y. Huang, X.-Y. Hao, S. Wang, F. Li, H.-Z. Song, Q. Zhou, R. Shimizu. Phys. Rev. Appl. 11, 034067 (2019)
  5. S.Y. Mironov, I.B. Mukhin, V.V. Lozhkarev, A.K. Potemkin, M.A. Martyanov, I.V. Kuzmin, E.A. Khazanov. Appl. Opt. 61, 6033 (2022)
  6. R.J. Nelmes, Z. Tun, W.F. Kuhs. Ferroelectrics 71, 125 (1987)
  7. R.J. Nelmes. Ferroelectrics 71, 87 (1987)
  8. W. Liu, H. Xia, X. Wang, Z. Ling, J. Xu, Y. Wei, Y. Liu, H. Han, J. Alloys Compd. 430, 226 (2007)
  9. R. Blinc, D. Had.i. Mol. Phys. 1, 391 (1958)
  10. Y. Imry, I. Pelah, E. Wiener. J. Chem. Phys. 43, 2332 (1965)
  11. R.M. Hill, S.K. Ichiki. J. Chem. Phys. 48, 838 (1968)
  12. F. Gervais, P. Simon. Ferroelectrics 72, 77 (1987)
  13. P. Simon, F. Gervais, E. Courtens. Phys. Rev. B 37, 1969 (1988)
  14. Y. Tominaga, Y. Kawahata, Y. Amo. Solid State Commun. 125, 419 (2003)
  15. Y. Mita, K. Takebe, M. Kobayashi, S. Endo, Y. Tominaga. J. Phys.: Condens. Matter 18, 5185 (2006)
  16. V.A. Abalmassov, N.V. Surovtsev. Bull. Russ. Acad. Sci.: Phys. 82, 294 (2018)
  17. K. Shibata, S. Ikeda. J. Phys. Soc. Jpn. 61, 411 (1992)
  18. K. Mizoguchi, Y. Nakai, S. Ikeda, A. Agui, Y. Tominaga. J. Phys. Soc. Jpn. 62, 451 (1993)
  19. A.V. Belushkin, M.A. Adams. Phys. B: Condens. Matter 234-236, 37 (1997)
  20. V.A. Abalmasov, A.S. Ivanov, R.A. Sadykov, A.V. Belushkin. Phys. Rev. B 112, 214101 (2025)
  21. S. Bratos, H. Ratajczak. J. Chem. Phys. 76, 77 (1982)
  22. S. Bratos, H. Ratajczak, P. Viot. In: Hydrogen-Bonded Liquids. Springer, Netherlands (1991). pp. 221-235
  23. M.C. Lawrence, G.N. Robertson. J. Phys. C: Solid State Phys. 13, L1053 (1980)
  24. M.C. Lawrence, G.N. Robertson. Ferroelectrics 34, 179 (1981)
  25. G.N. Robertson, M.C. Lawrence. J. Physics C: Solid State Phys. 14, 4559 (1981)
  26. E. Matsushita, T. Matsubara. Prog. Theor. Phys. 67, 1 (1982)
  27. F. Fillaux, A. Cousson. Eur. Phys. J. B 89, 72 (2016)
  28. C.A. Cody, R.K. Khanna. Ferroelectrics 9, 251 (1975)
  29. R.K. Khanna, M.-H. Sun. Ferroelectrics 29, 209 (1980)
  30. H. Sugimoto, S. Ikeda. Phys. Rev. Lett. 67, 1306 (1991)
  31. S. Ikeda, H. Sugimoto, Y. Yamada. Phys. Rev. Lett. 81, 5449 (1998)
  32. D. Merunka, B. Rakvin. Phys. Rev. B 76, 140101 (2007)
  33. Y.G. Hao, X.Y. Sun, N.S. Dalal. Ferroelectrics 132, 165 (1992)
  34. B. Silvi, Z. Latajka, H. Ratajczak. Ferroelectrics 150, 303 (1993)
  35. Q. Zhang, F. Chen, N. Kioussis, S.G. Demos, H.B. Radousky. Phys. Rev. B 65, 024108 (2001)
  36. S. Koval, J. Kohanoff, R.L. Migoni, E. Tosatti. Phys. Rev. Lett. 89, 187602 (2002)
  37. S. Koval, J. Kohanoff, J. Lasave, G. Colizzi, R.L. Migoni. Phys. Rev. B 71, 184102 (2005)
  38. J. Lasave, S. Koval, N.S. Dalal, R. Migoni. Phys. Rev. B 72, 104104 (2005)
  39. J. Lasave, J. Kohanoff, R.L. Migoni, S. Koval. Phys. B: Condens. Matter 404, 2736 (2009)
  40. S. Koval, J. Lasave, J. Kohanoff, R. Migoni. Ferroelectrics 401, 103 (2010)
  41. R. Menchon, G. Colizzi, C. Johnston, F. Torresi, J. Lasave, S. Koval, J. Kohanoff, R. Migoni. Phys. Rev. B 98, 104108 (2018)
  42. C.-L. Jiang, W. Zeng, N. Yang, F.-S. Liu, B. Tang, Q.-J. Liu. Optik 223, 165645 (2020)
  43. E.A. Engel. J. Chem. Phys. 148, 144708 (2018)
  44. P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G.L. Chiarotti, M. Cococcioni, I. Dabo, A.D. Corso, S. de Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, N. Marzari, F. Mauri, R. Mazzarello, S. Paolini, A. Pasquarello, L. Paulatto, C. Sbraccia, S. Scandolo, G. Sclauzero, A.P. Seitsonen, A. Smogunov, P. Umari, R.M. Wentzcovitch. J. Physics: Condens. Matter 21, 395502 (2009)
  45. P. Giannozzi, O. Andreussi, T. Brumme, O. Bunau, M.B. Nardelli, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, M. Cococcioni, N. Colonna, I. Carnimeo, A.D. Corso, S. de Gironcoli, P. Delugas, R.A. DiStasio, A. Ferretti, A. Floris, G. Fratesi, G. Fugallo, R. Gebauer, U. Gerstmann, F. Giustino, T. Gorni, J. Jia, M. Kawamura, H.-Y. Ko, A. Kokalj, E. Ku cukbenli, M. Lazzeri, M. Marsili, N. Marzari, F. Mauri, N.L. Nguyen, H.-V. Nguyen, A.O. de-la Roza, L. Paulatto, S. Ponce, D. Rocca, R. Sabatini, B. Santra, M. Schlipf, A.P. Seitsonen, A. Smogunov, I. Timrov, T. Thonhauser, P. Umari, N. Vast, X. Wu, S. Baroni. J. Physics: Condens. Matter 29, 465901 (2017)
  46. J.P. Perdew, K. Burke, M. Ernzerhof. Phys. Rev. Lett. 77, 3865 (1996)
  47. H.J. Monkhorst, J.D. Pack. Phys. Rev. B 13, 5188 (1976)
  48. M. Jia, X. Cheng, M.-H. Whangbo, M. Hong, S. Deng. RSC Adv. 10, 26479 (2020)
  49. T.K. Hirsch, L. Ojamae. J. Phys. Chem. B 108, 15856 (2004)
  50. T. Shigenari, K. Abe. J. Chem. Phys. 136, 174504 (2012)
  51. P. Zhang, Z. Wang, Y.-B. Lu, Z.-W. Ding. Sci. Rep. 6, 29273 (2016)
  52. C. J. Burnham, T. Hayashi, R.L. Napoleon, T. Keyes, S. Mukamel, G.F. Reiter. J. Chem. Phys. 135, 144502 (2011)
  53. J. Xu, M. Chen, C. Zhang, X. Wu. Phys. Rev. B 99, 205123 (2019)
  54. A. von Hoegen, R. Mankowsky, M. Fechner, M. Forst, A. Cavalleri. Nature 555, 79 (2018).

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.

Publisher:

Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru