Geometry and Topology of the Boolean Model on a Stationary Point Processes : A Brief Survey

Abstract

We report here high-pressure investigations, using 57 Fe Mössbauer spectroscopic and synchrotron X-ray diffraction techniques with diamond anvil cell on a meteorite fall at Nathdwara (India) categorized as an ordinary H6 chondrite. Mössbauer spectroscopic measurements were performed with compression up to 10GPa under hydrostatic conditions while XRD measurements were carried out up to 16 GPa in both hydrostatic and non-hydrostatic environments. Mössbauer studies demonstrated phase transitions for troilite and pyroxene at low pressures of 4.5 GPa and 6 GPa respectively. Main aim of the study was to investigate behavior of olivine (major constituent of the meteorite sample) which showed an unusual transformation of high spin Fe 2+ configuration at room pressure to low spin Fe 2+ phase at ~ 6 GPa. High pressure XRD measurements supported the above findings. Further XRD studies indicated reversible incomplete transformation of olivine to wadsleyite at 14.46 GPa under hydrostatic condition and complete transformation into ringwoodite at 16.7 GPa under non-hydrostatic compression. Not much has been reported about various phase transformations of meteoritic olivine at room temperature.