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We present a first principle study of the structural, elastic and energetic properties of the CuaXb (X=Lu, Pm) compounds, within the first principles density functional theory (DFT). The equilibrium volume, lattice constant, enthalpy of formation and the elastic constant are calculated using the full-potential linearized augmented plane-wave [FP-LAPW] method in the generalized gradient approximation (GGA) scheme. The CuLu, Cu2Lu, Cu5Lu, CuPm, Cu2Pm, Cu4Pm, Cu5Pm and Cu6Pm were investigated in their similar Cu-Lanthanide structure prototype compounds observed experimentally. The Cu7Lu2, Cu9Lu2 and Cu7Pm2 intermetallics reported without prototype structure, was also investigated by inspecting several hypothetical structures. The most stable structure for the Cu7X2 compounds was found to be the orthorhombic structure in the Ag7Yb2 prototype. For the Cu9Lu2 compound the two structures studied have a positive enthalpy, implying that it is not a ground state for both tested.
Cu-Lu compounds, Cu-Pm compounds, First principles calculations, Rare earth alloys
[1] Subramanian PR, Laughlin D. (1988). The Cu-Pm (copper-promethium) system. Bulletin of Alloy Phase Diagrams 9: 369-373.
[2] Subramanian PR, Laughlin D. (1988). The copper-rare earth systems. Bulletin of Alloy Phase Diagrams 9: 316-321.
[3] Zhou H, Tang C, Tong M, Gu Z, Yao Q, Rao G. ( 2012). Experimental investigation of the Ce–Cu phase diagram. Journal of Alloys and Compounds 511(1): 262-267. https://doi.org/10.1016/j.jallcom. 2011.09.054
[4] Shilkin S, Volka L, Fokin V. (1994). Interaction of intermetallic compounds of the composition. Russian Journal of Inorganic Chemistry 39: 183-186.
[5] Trump R, Thierfeldt S, Loewenhaupt M, Chattopadhyay T. (1991). Magnetic structure of the Kondo lattice compound CeCu2. Journal of Applied Physics 69: 4699-4701. http://dx.doi.org/10.1063/1.348277
[6] Kim S, Buyers W, Lin H, Bauer E. (1991). Structure of the heavy electron compounds Ce(Cux Al1-x)5 and Ce(CuxGa1-x)5,[0.6≦ x≦ 0.8]. Zeitschrift für Physik B Condensed Matter 84: 201-203. https://doi.org/10.1007/BF01313537
[7] Hohenberg P, Kohn W. (1964). Inhomogeneous electron gas. Physical Review 136: B864-B871. http://dx.doi.org/10.1103/PhysRev.136.B864
[8] Blaha P, Schwarz K, Madsen KHG, Kvasnicka D, Luitz J. (2012). WIEN2k an augmented plane wave + local orbitals program for calculating crystal properties. Vienna/Austria, Vienna University of Technology.
[9] Schwarz K, Blaha P. (2003). Solid state calculations using WIEN2k. Computational Materials Science 28: 259-273. http://dx.doi.org/10.1016/S0927-0256(03)00112-5
[10] Perdew JP, Burke K, Wang Y. (1996). Generalized gradient approximation for the exchange-correlation hole of a many-electron system. Physical Review B 54: 16533-16539. http://dx.doi.org/10.1103/ PhysRevB.54.16533
[11] Monkhorst HJ, Pack JD. (1976). Special points for Brillouin-zone integrations. Physical Review B 13: 5188-5192. http://dx.doi.org/10.1103/PhysRevB.13.5188
[12] Murnaghan FD. (1944). A modern presentation of quaternions. Proceedings of the Royal Irish Academy Section A: Mathematical and Physical Sciences 50: 104-112.
[13] Hill R. (1952). The elastic behaviour of a crystalline aggregate. Proceedings of the Physical Society Section A 65(5): 349-354. http://dx.doi.org/10.1088/0370-1298/65/5/307
[14] Demchyna R, Chykhrij S, Kuz’ma YB. (2002). Y–Cu–P system. Journal of Alloys and Compounds 345: 170-174. http://dx.doi.org/10.1016/S0925-8388(02)00432-2
[15] Daou J, Bonnet J. (1974). A new behaviour of the interstitial element H or D in solution in rare-earth metal. Journal of Physics and Chemistry of Solids 35: 59-65. http://dx.doi.org/10.1016/0022-3697(74)900 1 1-0
[16] Beaudry B, Gschneidner K. (1978). Preparation and basic properties of the rare earth metals. Handbook on the Physics and Chemistry of Rare Earths 1: 173-232.
[17] Wang Y, Curtarolo S, Jiang C, Arroyave R, Wang T, Ceder G, et al. (2004). Ab initio lattice stability in comparison with CALPHAD lattice stability. Calphad 28: 79-90. http://dx.doi.org/10.1016/j.calphad.2004.05.002
[18] Subramanian PR, Laughlin D. (1988). The Cu-Lu (copper-lutetium) system. Bulletin of AlloyPhase Diagrams 9: 358-418.
[19] Iandelli A, Palenzona A. (1971). The ytterbium-copper system. Journal of the Less Common Metals 25: 333-335.
[20] Storm A, Benson K. (1963). Lanthanide–copper intermetallic compounds having the CeCu2 and AlB2 structure. Acta Crystallographica 16: 701-702. https://doi:10.1107/S0365110X6300181X
[21] Dwight A. (1959). CsCl-type equiatomic phases in binary alloys of transition elements. Transactions of the American Institute of Mining and Metallurgical Engineers 215: 283-286.
[22] Fitzner K, Kleppa O. (1997). Thermochemistry of binary alloys of transition metals: The systems Me-Gd, Me-Ho, and Me-Lu (Me= Cu, Ag, and Au). Metallurgical and Materials Transactions A 28: 187-190. https://doi.org/10.1007/s11661-997-0094-6
[23] Meschel S, Kleppa O. (2005). Thermochemistry of some binary alloys of copper with the lanthanide metals by high-temperature direct synthesis calorimetry. Journal of Alloys and Compounds 388: 91-97. http://dx.doi.org/10.1016/j.jallcom.2004.08.062
[24] Wu ZJ, Zhao EJ, Xiang HP, Hao XF, Liu XJ, Meng J. (2007). Crystal structures and elastic properties of superhard IrN2 and IrN3 from first principles. Physical Review B 76: 054115. https://doi.org/10.1103/ Phys RevB.76.054115
[25] Reuss A. (1929). Calculation of the flow limits of mixed crystals on the basis of the plasticity of monocrystals. Z Angew Math Mech 9: 49-58.
[26] Voigt W. (1928). Lehrbuch der kristallphysik (mit ausschluss der kristalloptik). Edited by bg Teubner and Jw Edwards, Leipzig Berlin. Ann Arbor, Mich.