Multiferroik BaMnF 4 Bileşiğin Yapısal, Mekanik ve Elektronik Özelliklerinin İncelenmesi: Temel Prensip Yöntemi

Multiferroik BaMnF 4 bileşiğin yapısal, mekanik ve elektronik özellikleri spin polarize genelleştirilmişgradyent yaklaşımı (GGA) altında yoğunluk fonksiyoneli teorisi (DFT) kullanılarak incelendi. Hesaplananörgü parametreleri mevcut deneysel ve teorik değerler ile uyum içindedir. BaMnF 4 bileşiğin spin up (spinyukarı) ve spin down (spin aşağı) için hesaplanan Eg (yasak enerji aralığı) değeri sırasıyla 1.94 eV ve 6.3eV dir. BaMnF 4 bileşiği her iki spin için indirekt bant aralığına sahiptir. Elektronik bant yapısına karşılıkgelen toplam ve parçalı durum yoğunlukları hesaplandı ve yorumlandı. Elastik sabitleri, bulk modülü,shear modülü, Young modülü, Poisson oranı, anizotopi değerleri, ortamdaki ses hızları ve Debye sıcaklığıgibi bazı temel fiziksel parametreleri hesaplandı ve yorumlandı.

Investigation of Structural, Mechanical and Electronic of Multiferroic BaMnF 4 Compound: First Principle Calculations

The Structural, mechanical and electronic properties of the Multiferroic BaMnF 4 compound are investigated using density functional theory (DFT) within spin-polarized GGA approximation (Generalized Gradient Approximation). The calculated lattice parameters have been in agreement with the available experimental and theoretical value. Eg (forbidden energy gap) values calculated for spin up and spin down of the BaMnF 4 compound are 1.94 eV and 6.3 eV, respectively. The BaMnF 4 compound has an indirect band gap for both spins. Total and partial density of state corresponding to the electronic band structure are calculated and interpreted. Some fundamental physical parameters such as elastic constants, bulk modulus, shear modulus, Young modulus, Poisson's ratio, anisotropy values, sound velocities in the environment and Debye temperature were calculated and interpreted.

___

  • Anderson, O. L., 1963. A simplified method for calculating the debye temperature from elastic constants. Journal of Physics Chemistry of Solids, 24 (7), 909-917.
  • Bannikov, V. V., Shein, I. R. and Ivanovskii, A. L., 2007. Electronic structure, chemical bonding and elastic properties of the first thorium-containing nitride perovskite TaThN 3 . Physica status solidi (rrl), 1 (3), 89-91.
  • Beckstein, O., Klepeis, J. E., Hart, G. L. W. and Pankratov, O., 2001. First-principles elastic constants and electronic structure of α-Pt 2 Si and PtSi. Physical Review B, 63, 134112.
  • Chung, D. H. and Buessem, W. R., 1968. Anisotropy in Single-Crystal Refractory Compounds. Volume 1, Vahldiek, F. W., Mersol, S. A. (eds), Plenum, New York, p 217.
  • Cox, D. E., Shapiro, S. M., Cowley, R .A., Eibschütz, M. and Guggenheim H. J., 1979. Magnetic and structural phase transitions in BaMnF 4 . Physical Review B, 19 (11), 5754-5772.
  • Ederer, E. and Spaldin, N. A., 2006. Origin of ferroelectricity in the multiferroic barium fluorides BaMF 4 : A first principles study. Physical Review B, 74, 024102.
  • Feldmann, C., Roming, M. and Trampert, K., 2006.Polyol‐Mediated Synthesis of Nanoscale CaF 2 and CaF 2 :Ce,Tb. Small, 2 (11), 1248-1250.
  • Gao, P., Xie, Y. and Li, Z., 2006. Controlling the Size of BaF 2 Nanocubes from 1000 to 10 nm. European Journal Inorganic Chemistry, 2006 (16), 3261-3265.
  • Goldberg, V., Pacheco, D., Moncorge, R. and Di Bartolo, B., 1979. Luminescence characteristics of BaMnF 4 and KMnF 3 . Journal of Luminescence, 18-19, 143-146.
  • Gonze, X., Beuken, J. M. and Caracas R., 2002. First- principles computation of material properties: the ABINIT software project. Computational Materials Science, 25(3), 478–492
  • Hill, R., 1952. The Elastic Behavior of a Crystalline Aggregate. Proceedings of the Physical Society, Section A, 65 (5), 349-354.
  • Hohenberg, P. and Kohn, W., 1964. Inhomogeneous Electron Gas. Physical Review Journals, 136 (3B), B864.
  • Holmes, L.,Eibschütz, M. andGuggenheim, H. J., 1969. Spin-floptransition in BaMnF 4 . Solid State Communications, 7 (14), 973-976.
  • Johnston, I., Keeler, G., Rollins, R. W., Spicklemire, S., 1996. Solids State Physics Simulations: The Consortium for Upper Level Physics Software. John Wiley, New York.
  • Keve, E. T., Abrahams, S. C. And Bernstein, J. L., 1969.Crystal Structure of Pyroelectric Paramagnetic Barium Manganese Fluoride, BaMnF 4 . The Journal of Chemical Physics, 51, 4978-4933.
  • Koc, H., Mamedov, A. M., Deligoz, E. and Ozisik, H., 2012b. First principles prediction of the elastic, electronic, and optical properties of Sb 2 S 3 and Sb 2 Se 3 compounds. Solid State Science, 14 (8), 1211-1220.
  • Koc, H., Yildirim, A., Tetik, E. and Deligoz, E., 2012a. Ab initio calculation of the structural, elastic, electronic, and linear optical properties of ZrPtSi and TiPtSi ternary compounds. Computational Materials Science, 62, 235-242.
  • Mao, Y., Zhang, F. and Wong, S. S., 2006. Ambient Template‐Directed Synthesis of Single‐Crystalline Alkaline‐Earth Metal Fluoride Nanowires. Advanced Materials, 18(14), 1895-1899.
  • Monkhorst H. J. and Pack, J. D., 1976. Special points for Brillouin-zone integrations. Physical Review B, 13 (12), 5188-5192.
  • Page, Y. L. and Saxe, P., 2001.Symmetry-general least- squares extraction of elastic coefficients from ab initio total energy calculations. Physical Review B, 63, 174103.
  • Perdew, J. P., Burke, K. and Ernzerhof M., 1996. Generalized Gradient Approximation Made Simple. Physical Review Letters, 77 (18), 3865-3868.
  • Posse, J. M., Friese, K. and Grzechnik, A., 2011. Structural stability of BaMF 4 (M = Mg, Znand Mn) at high pressures. Journal of Physics: Condensed Matter, 23 (21),215401-13.
  • Pugh, S. F., 1954. XCII. Relations between the elastic moduli and the plastic properties of polycrystalline pure metals. The London, Edinburg and Dublin Philosophical Magazineand Journal, 45, 823-843.
  • Quan, Z., W., Yang, D., Yang, P., Zhang, X., Lian, H., Liu, X. and Lin, J., 2008. Uniform Colloidal Alkaline Earth Metal Fluoride Nanocrystals: Nonhydrolytic Synthesis and Luminescence Properties. Inorganic Chemistry, 47 (20), 9509-9517.
  • Régis, M., Candille, M. and St-Gregoire, P., 1980. Optical study of the structural phase transition of BaMnF 4 . Journal de Physique Lettres, 41 (17), L423-L425.
  • Reuss, A., 1929. Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitatsbedingung für Einkristalle. Zeitschrift für Angewandte Mathematik und Mechanik, 9 (1), 49-58.
  • Samara, G. A. And Richards, P. M., 1976. Low- Temperature dielectric properties and phase transition in BaMnF 4 . Physical Review B, 14, 5073- 5079.
  • Schreiber, E., Anderson, O. L., Soga, N., 1973. Elastic Constants and Their Measurements. McGraw-Hill, New York.
  • Scott, J. F., 1979. Phase transitions in BaMnF 4 . Reports on Progress Physics. 42 (6), 1055-1084.
  • Shein, I. R. and Ivanovskii, A. L., 2008. Elastic properties of mono- and polycrystalline hexagonal AlB 2 -like diborides of s, p and d metals from first-principles calculations. Journal of Physics Condensed Matter, 20 (41), 415218.1-9.
  • Voight, W., 1928. Lehrbuch der kristallphysik (mitausschluss der kristalloptik). Leipzig Berlin, Teubner B., G., p. 962
  • Wallace, D. C., 1972. Thermodynamics of Crystals. John Wiley and Sons Ltd. chichester, New York. Chap. 1, where finite Lagrangian strains h i j are discussed. In the case of infinitesimal strains these reduce to our e i j of classical elasticity theory.
  • Wang, W-S., Zhen, L., Xu, C-Y., Chen, J-Z. and Shao, W- Z., 2009. Aqueous Solution Synthesis of CaF 2 Hollow Microspheres via the Ostwald Ripening Process at Room Temperature. ACS Applied Materials Interfaces, 1 (4), 780-788.
  • Yoshimura, M. and Hidaka, M., 2005. Cooperative Displacements of Ba 2+ Ions in the Incommensurate Structural Phase of Piezoelectric Layer Compound BaMnF 4 . Journal of thePhysical Society of Japan, 74, 1181-1189.
  • Zhou, S., Weng, Y., Wu, Z., Wang, J., Wu, L., Ni, Z., Xu, Q. and Dong, S., 2016. Strong room-temperature blue- violet photoluminescence of multiferroic BaMnF 4 . Physical Chemistry Chemical Physics, 18 (3), 2054- 2058.
Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi-Cover
  • Yayın Aralığı: Yılda 6 Sayı
  • Başlangıç: 2015
  • Yayıncı: AFYON KOCATEPE ÜNİVERSİTESİ