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.
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- 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.