CENTROSYMMETRIC PEROVSKITE CRYSTAL STRUCTURES WITH SPACE GROUP Pbnm: CRYSTALLOGRAPHIC PARAMETERIZATION OF KCaF3 BETWEEN 100 AND 400 K IN TERMS OF THE AMPLITUDES OF SYMMETRY-ADAPTED BASIS VECTORS OF THE CUBIC ARISTOTYPE PHASE

作者: K. S. Knight

DOI: 10.3749/CANMIN.49.3.793

关键词: Basis (linear algebra)Brillouin zoneBond lengthChemistryCrystallographyPerovskite (structure)Symmetry (physics)Crystal structureMolecular geometrySolid solution

摘要: The crystal structures of centrosymmetric, zone-boundary-tilted perovskite-structured phases with space group Pbnm can be decomposed in terms an appropriate set symmetry-adapted basis vectors, for irreducible representations wave vectors on the surface Brillouin zone cubic aristotype phase. Such a decomposition potentially allows physical to derived any observed structural distortion (bond lengths, bond angles, polyhedron volumes) as function applied thermodynamic variable (temperature, pressure, magnetic or electric field), indeed chemical composition studies solid solutions. methodology is illustrated using results from parametric study temperature dependence structure KCaF 3 between 100 and 400 K.

参考文章(28)
Roger H. Mitchell, Perovskites: Modern and Ancient ,(2003)
Christopher J. Howard, Harold T. Stokes, Structures and phase transitions in perovskites – a group-theoretical approach Acta Crystallographica Section A. ,vol. 61, pp. 93- 111 ,(2005) , 10.1107/S0108767304024493
C. N. W. Darlington, Normal-mode analysis of the structures of perovskites with tilted octahedra Acta Crystallographica Section A. ,vol. 58, pp. 66- 71 ,(2002) , 10.1107/S0108767301016579
Bao-xing Li, Pei-Lin Cao, Water adsorption on Si8-10 clusters: a full-potential linear-muffin-tin-orbital molecular-dynamics study Journal of Physics: Condensed Matter. ,vol. 13, pp. 1- 10 ,(2001) , 10.1088/0953-8984/13/1/301
J. M. Perez-Mato, D. Orobengoa, M. I. Aroyo, Mode crystallography of distorted structures Acta Crystallographica Section A. ,vol. 66, pp. 558- 590 ,(2010) , 10.1107/S0108767310016247
Harold T. Stokes, Erich H. Kisi, Dorian M. Hatch, Christopher J. Howard, Group-theoretical analysis of octahedral tilting in ferroelectric perovskites. Acta Crystallographica Section B-structural Science. ,vol. 58, pp. 934- 938 ,(2002) , 10.1107/S0108768102015756
Christopher J Howard, Vittorio Luca, Kevin S Knight, High-temperature phase transitions in tungsten trioxide - the last word? Journal of Physics: Condensed Matter. ,vol. 14, pp. 377- 387 ,(2002) , 10.1088/0953-8984/14/3/308
N. W. Thomas, A new global parameterization of perovskite structures Acta Crystallographica Section B-structural Science. ,vol. 54, pp. 585- 599 ,(1998) , 10.1107/S0108768198001979
R. A. Cowley, Lattice Dynamics and Phase Transitions of Strontium Titanate Physical Review. ,vol. 134, pp. 981- 997 ,(1964) , 10.1103/PHYSREV.134.A981
Wiesława Sikora, Franciszek Białas, Lucjan Pytlik, MODY: a program for calculation of symmetry‐adapted functions for ordered structures in crystals Journal of Applied Crystallography. ,vol. 37, pp. 1015- 1019 ,(2004) , 10.1107/S0021889804021193