Abstract
The structure of single-crystal dodecaboride TmB12, which possess metallic properties, has been studied by X-ray diffraction at nine temperatures in the range of 85–293 K. Jahn–Teller distortions of the cubic lattice are revealed. They are found to cause an asymmetric electron density distribution in crystal. Static components of atomic displacements are selected, and characteristic Einstein and Debye temperatures are determined for thulium and boron atoms, respectively. Temperature dependences of interatomic distances are obtained. The problem of localizing conduction electrons by means of X-ray diffraction analysis is stated.
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REFERENCES
A. M. Glazer, J. Appl. Crystallogr. 35, 652 (2002).
P. Coppens, X-Ray Charge Densities and Chemical Bonding (Oxford Univ. Press, Oxford, 1997).
J. M. Tranquada, H. Woo, T. G. Perring, et al., Nature 375, 561 (1995).
E. H. Da Silva Neto, P. Aynajian, F. Frano, et al., Science 343, 393 (2014).
S. Mori, C. H. Chen, S.-W. Cheong, et al., Nature 392, 473 (1998).
N. Sluchanko, A. Bogach, N. Bolotina, et al., Phys. Rev. B 97, 035150 (2018).
C. K. Johnson, Acta Crystallogr. A 25, 187 (1969).
R. F. W. Bader, Atoms in Molecules. A Quantum Theory (Clarendon, Oxford, 1990).
N. B. Bolotina, A. P. Dudka, O. N. Khrykina, et al., J. Phys.: Condens. Matter 30, 265402 (2018).
S. Parkin and H. Hope, J. Appl. Crystallogr. 31, 945 (1998).
A. P. Dudka, Crystallogr. Rep. 64 (1), 181 (2019).
H. B. Bürgi and S. C. Capelli, Acta Crystallogr. A 56, 403 (2000).
A. P. Dudka, N. B. Bolotina, and O. N. Khrykina, J. Appl. Crystallogr. 52, 690 (2019).
N. E. Sluchanko, A. N. Azarevich, A. V. Bogach, et al., JETP 115, 509 (2012).
I. Binder, S. LaPlaca, and B. Post, Boron Synthesis, Structure, and Properties, Ed. by J.A. Kohn (Plenum, New York, 1960), p. 86.
N. Sluchanko, A. Bogach, N. Bolotina, et al., Phys. Rev. B 97, 035150 (2018).
N. E. Sluchanko, A. N. Azarevich, A. V. Bogach, et al., JETP 115, 509 (2012).
A. P. Dudka, I. A. Verin, and E. S. Smirnova, Crystallogr. Rep. 61 (4), 692
A. P. Dudka, M. Kh. Rabadanov, and A. A. Loshmanov, Kristallografiya 34 (4), 818 (1989).
P. J. Becker and P. Coppens, Acta Crystallogr. A 30, 129 (1974).
A. Dudka, J. Appl. Crystallogr. 43, 27 (2010).
Rigaku Oxford Diffraction, CrysAlisPro Software System, Version 1.171.39.46 (Rigaku Corporation, Oxford, UK, 2018).
A. Dudka, J. Appl. Crystallogr. 40, 602 (2007).
V. Petricek, M. Dusek, and L. Palatinus, Z. Kristallogr. 229 (5), 345 (2014).
P. Coppens, J. Dam, S. Harkema, et al., Acta Crystallogr. A 40, 184 (1984).
K. N. Trueblood, H.-B. Brgi, H. Burzlaff, et al., Acta Crystallogr. A 52, 770 (1996).
A. P. Menushenkov, A. A. Yaroslavtsev, I. A. Zaluzhnyi, et al., JETP Lett. 98 (3), 165 (2013).
ACKNOWLEDGMENTS
We are grateful to N.E. Sluchanko for fruitful discussions and to V.N. Krasnorusskii for the help in sample preparation.
Experimental data were obtained using equipment of the Collective-Use Center of the Federal Scientific Research Centre “Crystallography and Photonics” of the Russian Academy of Sciences.
Funding
This study was supported by the Ministry of Science and Higher Education of the Russian Federation within the State assignment for the Federal Scientific Research Centre “Crystallography and Photonics” of the Russian Academy of Sciences in the part concerning the development of structural analysis technique. The investigation of the specific features of atomic displacements in TmB12 crystals was supported by the Russian Science Foundation (grant no. 17-12-01426).
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Translated by Yu. Sin’kov
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Dudka, A.P., Khrykina, O.N., Bolotina, N.B. et al. Jahn–Teller Lattice Distortions and Asymmetric Electron Density Distribution in the Structure of TmB12 Dodecaboride in the Temperature Range of 85–293 K. Crystallogr. Rep. 64, 737–742 (2019). https://doi.org/10.1134/S1063774519050079
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DOI: https://doi.org/10.1134/S1063774519050079