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Brillouin Scattering With Simultaneous X-Ray Diffraction at GSECARS, Advanced Photon Source: Toward Determination of Absolute Pressure Scales. Jay Bass 1 Stanislav Sinogeikin 1,2 Dmitry Lakshtanov 1 Carmen Sanchez-Valle 1 Vitali Prakapenka 2, Guoyin Shen 2,3 Jean-Philippe Perrillat 1
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Brillouin Scattering With Simultaneous X-Ray Diffraction at GSECARS, Advanced Photon Source: Toward Determination of Absolute Pressure Scales Jay Bass1 Stanislav Sinogeikin1,2 Dmitry Lakshtanov1 Carmen Sanchez-Valle1 Vitali Prakapenka2, Guoyin Shen2,3 Jean-Philippe Perrillat1 Jingyun Wang1 Bin Chen1 1 University of Illinois at UC, Geology Dept. 2 GSECARS, The University of Chicago 3 HPCAT, Advanced Photon Sourse, Argonne National Laboratory 4 Carnegie Institution of Washington, Geophysical Laboratory Fall AGU 2006
Brillouin Scattering with synchrotron X-rays at the APS Elasticity Grand Challenge COMPRES Infrastructure Development Project Measure sound velocities and density simultaneously “Absolute” or internally consistent Pressure Scales Zha et al., Brillouin on MgO (PNAS, 2000) Isothermal bulk modulus (volume measurements) Adiabatic elastic moduli (velocity measurements)
Platelet (symmetric) geometry Vi = / 2sin (*/2) Brillouin scattering • Acoustic waves present in a solid due to thermal motion of atoms • Laser lightinteracts with phonons (or density / refractive index fluctuations) and is scattered with Doppler shifted frequency • Brillouin shift is proportional to acoustic velocity Vi = / 2n*sin (/2)
Schematic diagram of the Brillouin system installed at sector 13-BMD (GSECARS) at APS Sinogeikin et al.,Rev. Sci. Instr. 77, 2006
Schematic diagram of the Brillouin system installed at sector 13-BMD at APS (Lower Tier) Motorized translation components (controllable from outside the hatch, blue boxes): HMTS - horizontal motorized translation stage; VMTS - vertical motorized translation stage; MLFA - motorized laser focusing assembly; MSCA - motorized signal collecting assembly; SPOA - sample positioning and orientation assembly; SL-LB - sample light / light block. Observation / feedback elements (red boxes): VC - video camera; BT - beam target. X-ray components: MAR - MAR Imaging plate; XBS - X-ray beam stop; CS - cleanup slit.
Mobile focusing/collecting part of the Brillouin system at 13-BMD GSECARS
X-ray image and integrated spectrum of single-crystal NaCl at ambient conditions
Ruby NaCl Single crystal 100 μm Au+Pt+NaCl Au+Pt+NaCl Single crystal NaCl (B1) at ~30 GPa in DAC in Ne pressure medium Schematic view of simultaneous Brillouin scattering and X-ray diffraction in DAC
X-ray image and spectrum of single-crystal NaCl in Ne at 30 GPa NaCl (B1) (200) Ne
Single crystal Brillouin spectrum of NaCl (B1) and velocity distribution in (100) plane at 30.5 GPa
Single crystal and aggregate elastic moduli of NaCl (B1) as a function of density
“Absolute” equations of state / pressure scale Isothermal bulk modulus (volume measurements) Adiabatic elastic moduli (velocity measurements) We measure Ks as a function of volume directly. The problem is to convert KS to KT at high pressure, e.g. we need to know volume dependence of a and g. Possible models/assumptions:
Conclusions • We simultaneously measured single crystal (and aggregate) elastic moduli of NaCl (B1) with Brillouin spectroscopy and density with angle dispersive X-ray diffraction to 30.5 GPa. • At high pressure NaCl exhibits extreme elastic anisotropy, which is >3 times higher than that at ambient conditions. • Above ~17 GPa on approaching B1-B2 phase transition NaCl exhibits acoustic mode softening. • Above ~17 GPa the density – velocity relations deviate from linearity and violate Birch’s law. • Acoustic softening indicates that B1-B2 phase transition in NaCl may be multi-step and of more complicated nature than it was previously thought. • Pressure calculated from measured bulk modulus and density is higher than that calculated from Decker EOS by ~ 3-5% at 30 GPa.
Acknowledgments • NSF: Elasticity Grand Challenge • COMPRES: Infrastructure development project • GSECARS: Sector 13, Advanced Photon Source