Temperature Dependence of Lattice Parameters

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Temperature Dependence of Lattice Parameters for Er3T (T= Ni, Rh, Ir) J. Kusz1, H. Böhm2, E. Talik1 1Institute of Physics, University of Silesia, ul. Uniwersytecka 4, 40-007 Katowice, Poland 2Institut für Geowissenschaften/Mineralogie, Johannes Gutenberg-Universität, D-55099 Mainz, Germany Problem: The three compounds Er3Ni, Er3Rh and Er3Ir exhibit an anomalous, anisotropic behavior with temperature: The lattice constant c increases with temperature in all of these compounds, which is in contrast to Gd3T (with T=Ni, Rh, Ir) [2]. All compounds of Er3T (with T=transition metals) are expected to crystallize in the orthorhombic Fe3C-type structure (after [1]) and in the SG Pnma. To understand the anomalous behavior of the lattice parameters we studied the structure of Er3Ir at 150K, 200K and 300K by single crystal X-ray diffraction. Acknowledgment: The work is financially supported by the Materialwissenschaftliches Forschungszentrum der Johannes Gutenberg-Universität Mainz Experimental results: The variation of the lattice parameters with temperature Er3Rh Er3Ni Er3Ir Experimental Setup : 4-circle HUBER diffractometer STOE interface controlled by STADI4 software ENRAF-NONIUS rotating anode Bent graphite monochromator: CuKa CRYOGENICS closed cycle He-cryostat The 4-circle LT-diffractometer Diffraction Geometry Experimental Method: The single crystals were obtained by the Czchrochalski method from a levitated melt. The temperature during the diffraction experiment was controlled within 0.1K. The refinement of the cell parameters was carried out by measuring of about 60 reflections with high 2 -values and their Friedel pairs on both sides of the primary beam. An -scan was carried out at + and - 2  and . The center of gravity was determined by the difference of the two -centers. The data collection for Er3Ir was carried out on a CAD4 diffractometer (MoKa, graphite monochromator) at 150 K, 200 K and 300 K in the range 2 < 70° (-2 scan). Literature [1] Landolt-Börnstein, Vol.III, 26 (Springer 1989) [2] J. Kusz et al., J. Appl. Cryst. in press. (2000) [3] E. Talik et al. , J. Magn. Magn. Mater. 186, (1998), 33-40 [4] E. Talik et al., J. Magn Magn Mater. 157/158 (1996) 405-406 Discussion and Results: The compound Er3Ir exhibits the Fe3C-type structure with the orthorhombic SG Pnma : The lattice constants (at 150 K) are ao = 7.1427 Å, bo = 9.0344 Å, co = 6.2926 Å. The structural refinement was carried out by the program SHELX93. No. of measured reflections 2045 No. of unique reflections 945 No. of variables 23 Absorption correction :-scan R1 5.4% (150 K) 5.4% (200 K) 4.5% (300 K) In the three compounds the transition metal has been replaced, which influences the sign of the change in the thermal expansion coefficient ac . The strongest negative change is observed in the Ir-compound. This behavior can be understood by comparing the bond distances within the coordination polyhedron of Ir and between the neighboring polyhedra. The bulk change in the lattice constants between 150 K and 300 K is 0.014 Å for a 0.036 Å for b and -0.009 Å for c. Bond lengths at 3 different temperatures 3.489(1) 3.490(1) 3.496(2) 3.501(2) 3.507(1) 3.526(2) 3.525(2) 3.525(1) 3.587(1) 3.590(1) 3.596(1) 150 K 200 K 300 K Er - Ir 2.821(1) 2.825(1) 2.728(1) 2.731(2) 2.731(1) 2.834(2) 2.833(2) 2.833(1) 2.911(1) 2.908(1) Er - Er 3.432(2) 3.436(2) 3.443(1) 3.435(2) 3.442(2) 3.456(2) 3.458(2) 3.464(1) Analysis: The thermal expansion coefficients have been determined at two different temperatures : Thermal expansion coefficients at 10K.: Er3Ni Er3Rh Er3Ir aa 105 [K]-1 22.3 3.7 5.0 ab 105 [K]-1 18.7 11.1 35.0 ac 105 [K]-1 -20.7 1.3 -18.2 Thermal expansion coefficients at 300K.: aa 105 [K]-1 15.4 8.1 5.0 ab 105 [K]-1 13.1 15.2 29.7 ac 105 [K]-1 1.2 5.0 -4.1 Neel temperature [3,4]: TN [K] 10 [4] 26 [3] ? The refined structure of Er3Ir : (b,c)-plane and the shortest bond length of Er-Er bond length = 3.43 Å non-binding length d= 4.02 Å (T=150 K) non-binding length d= 4.01 Å (T=300 K)