Phase transformations and elasticity in rutile-structured difluorides and dioxides

Pressure-induced phase transformations in each of the rutile-structured difluorides (NiF2, MgF2, CoF2, ZnF2, FeF2 and MnF2) exhibit unique behavior; however, a general trend is found in the major structural changes: rutile phase → “distorted fluorite” phase → post-“distorted fluorite” phase with volume changes of about 5–10%. For a given phase transformation sequence found commonly in two or more difluorides, the phase transformation pressure is related inversely to the unit cell volume and thus inversely to the mean cation-anion bond length. The relationship in oxides (SnO2, TiO2 and GeO2) is much less systematic. It is therefore not possible to predict without uncertainty the post-stishovite phases in the lower mantle. Velocity-density systematics in the difluorides and oxides are governed, to a large extent, by cationic radius. The pressure dependence of shear elastic constant CS = (C11 − C12)/2 is negative in all of the nine difluorides and oxides. However, the CS mode does not vanish at the initial phase transformation pressure; rather, the ratios of CSKS are 0.10 and 0.04 to 0.10 for transitions of rutile → orthorhombic and of rutile → “distorted fluorite”, respectively, and are in agreement with the approach of Demarest et al.

[1]  T. G. Worlton,et al.  Pressure-induced strain transition in NiF/sub 2/ , 1978 .

[2]  Adam Yu Wu,et al.  Elastic properties of single-crystal Ni F 2 , 1976 .

[3]  G. Davies Elasticity of single-crystal MgF2 (rutile structure) under pressure , 1977 .

[4]  Y. Syono,et al.  High pressure synthesis of fluorite-type PbO2 , 1968 .

[5]  R. Melcher,et al.  Elastic Properties of MnF 2 , 1970 .

[6]  Lin-gun Liu,et al.  New high‐pressure modifications of GeO2 and SiO2 , 1978 .

[7]  A. E. Austin High pressure transformations of transition metal difluorides , 1969 .

[8]  A. Y. Wu,et al.  A phase transition in NiF2 at elevated pressures , 1977 .

[9]  T. G. Worlton,et al.  The Pressure Induced Strain Transition In NiF2 , 1978 .

[10]  P. Hagenmuller,et al.  Sur une variete haute pression de PdF2 de type fluorine , 1979 .

[11]  L. Liu A Fluorite Isotype of SnO2 and a New Modification of TiO2: Implications for the Earth's Lower Mantle. , 1978, Science.

[12]  M. O'keeffe,et al.  Pressure and stress induced polymorphism of compounds with rutile structure , 1971 .

[13]  P. Moore,et al.  Polymorphism in MnF2 (rutile type) at high pressures , 1979 .

[14]  Y. Masuda,et al.  High pressure synthesis of orthorhombic SnO2 , 1975 .

[15]  M. Born,et al.  The Stability of Crystal Lattices , 1940, Mathematical Proceedings of the Cambridge Philosophical Society.

[16]  Taro Takahashi,et al.  X‐Ray Diffraction and Optical Observations on Crystalline Solids up to 300 kbar , 1967 .

[17]  Li-chung Ming,et al.  High pressure phase transformations in MgF2 (rutile) , 1979 .

[18]  O. L. Anderson,et al.  PREDICTION OF HIGH PRESSURE PHASE TRANSITIONS BY ELASTIC CONSTANT DATA , 1977 .

[19]  A. Y. Wu,et al.  The pressure dependence of elastic moduli of NiF2 to 10 kbar , 1977 .

[20]  M. Nicol,et al.  Raman Spectrum and Polymorphism of Titanium Dioxide at High Pressures , 1971 .

[21]  R. Roy,et al.  High‐Pressure‐High‐Temperature Polymorphism of the Oxides of Lead , 1961 .

[22]  F. Dachille,et al.  HIGH PRESSURE POLYMORPHISM OF MANGANOUS FLUORIDE , 1961 .

[23]  Stanley Block,et al.  Calibration of the pressure dependence of the R1 ruby fluorescence line to 195 kbar , 1975 .

[24]  M. Manghnani,et al.  High pressure phase transformation in FeF⊂2 (Rutile) , 1978 .

[25]  Murli H. Manghnani,et al.  Elastic constants of single‐crystal rutile under pressures to 7.5 kilobars , 1969 .

[26]  M. Born,et al.  Dynamical Theory of Crystal Lattices , 1954 .