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Ultrasonic measurements in large volume press in conjunction with X-radiation techniques. Jennifer Kung Contributors Baosheng Li Yanbin Wang Takeyuki Uchida. Key Parameters of Elastic Properties. Travel time ( t (P,S) ), Length (l) and Density ( ) -- corresponding to P-T conditions.
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Ultrasonic measurements in large volume press in conjunction with X-radiation techniques Jennifer Kung Contributors Baosheng Li Yanbin Wang Takeyuki Uchida
Key Parameters of Elastic Properties Travel time (t(P,S)), Length (l) and Density () --corresponding to P-T conditions
f = 30~70 MHz Piezoelectric Transducer Sample Buffer rod Buffer rod Sample 1~3 mm Travel time 0.2~0.7 s 2~3 mm Travel time measurement 40 MHz
S: linear compression Thermal expansion (α) Known EOS Ultrasonic measurements at high pressure and high temperature: Pre-Synchrotron era High temperature – in gas high pressure apparatus (0.3- 0.8 GPa) at atmospheric pressure High pressure – in piston cylinder (up to 3 GPa) in 6-8 type multi anvil press in diamond anvil cell However, it is difficult to measure - the materials subjected plastic deformation, across the phase transition and without known EoS
Au foil C C D C a m e r a sample ~1030mm Au foil T - 2 5 p r e s s Length measurement using X-radiographic image M i c r o s c o p e o b j e c t i v e 2 5 m m W C c u b e S l i t s y s t e m Ultrasonic cell assembly Y A G C r y s t a l M i r r o r q 2 X - r a y D i f f r a c t e d X - r a y s S S D Cell volumes of sample and NaCl S P Ultrasonic system and dual mode transducer Ultrasonic measurements in conjunction with X-radiation techniques in large volume press
transducer Ultrasonic assembly in T25
transducer 14/8 cell assembly in T25
0 1.5 2.1 4.2 4.8 6.2 7.0 8.2 9.0 GPa *(NaCl pressure scale) Sample Length observed from X-radiographic image: case of (Mg,Fe)O l=l0(V/V0)1/3 Kung et al. (2002)
1 5 0 0 P r o t o E n B t H i g h - P C l i n o E n + ) S t C 1 0 0 0 O r t h o E n o ( e r synthesis u t a r e p m e 5 0 0 T S p i n e l + L o w C E n S t i s h o v i t e 0 5 1 5 1 0 P r e s s u r e ( G P a ) Elasticity of HP-CEN MgSiO3-unquenchable phase
393 1000C 900C 390 800C 600C 387 400C 200C RT 384 381 378 375 372 6 8 10 12 14 P-Volume-T data for HP-CEN ( to obtain the density, thermal expansion) Cell volume (Å3) Pressure (GPa)
KS=(Vp2-4/3Vs2) P wave 9.6 (b) 190 ~0.7% ° 27 C (b) 185 ° 200 C ° 27 C 9.4 ° 400 C ° 200 C 180 ° ° 400 C 600 C ° 600 C ° 800 C ° 800 C 175 0.5% 9.2 170 165 9.0 Solid - T409 160 Solid - T409 Open - T354 Modulus (GPa) Open - T354 Velocity (km/s) 155 8.8 S wave G=Vs2 (a) 105 (a) ° 27 C ° 27 C 5.4 ° 200 C 102 ° 200 C ° 400 C ° 99 400 C 5.3 ° 600 C ° 600 C 96 ° 800 C ° 800 C ~1.0% 5.2 93 0.5% 90 5.1 87 6 7 8 9 10 11 12 13 Pressure (GPa) 5.0 6 7 8 9 10 11 12 13 Pressure (GPa) Pressure (GPa) Elastic velocities and elastic moduli of HP-CEN at high P-T
Difference between the absolute pressure and Decker’s NaCl pressure scale as a function of pressure Li et al. (2004)
Elasticity and elastic behavior of the materials interested at high pressure and temperature - unquenchable phases - across phase transition - effect of partial melting on elasticity - order-disorder of cation - melts
d(hkl)1 d(hkl)3 13 element SS detector conical slit (outer cone shown in outline) X-ray sample Conical Slit device with multi-element detector (white x-ray mode)
In deformation-DIA press -P-T-Volume-V(P,S)-Stress - anisotropy - third-order elastic constants (acoustoelasticity)