View
216
Download
2
Embed Size (px)
Citation preview
Ultrasonic measurements in large volume press in conjunction with X-radiation techniques
Jennifer Kung
ContributorsBaosheng LiYanbin Wang
Takeyuki Uchida
Key Parameters of Elastic Properties
Travel time (t(P,S)), Length (l) and Density ()--corresponding to P-T conditions
BulkGLK
Shear)t
lρ(ρVG
alLongitudin)t
lρ(ρVL
S
SS
PP
3
4
22
22
Buffer rod
Sample
Travel time 0.2~0.7 s
PiezoelectricTransducer
Buffer rod
Sample1~3 mm
f = 30~70 MHz
2~3 mm
40 MHz
Travel time measurement
Ultrasonic measurements at high pressure and high temperature: Pre-Synchrotron era
High pressure –in piston cylinder (up to 3 GPa)in 6-8 type multi anvil press in diamond anvil cell
High temperature –in gas high pressure apparatus (0.3- 0.8 GPa)at atmospheric pressure
P
SP
SP
tt
dP
l
TS
St
lGL
0
22
200
2
),(
00
)1
3/41
(12
11
,)2
(,
)()()( 03
1
0
31
0
l
l
V
VS
Thermal expansion (α)Known EOS
S: linear compression
However, it is difficult to measure - the materials subjected plastic deformation, across the phase transition and without known EoS
Ultrasonic measurements in conjunction with X-radiation techniques in large volume press
Cell volumes of sample and NaCl
CCD Camera
Microscope objective
YAG Crystal
Mirror
SSD
Diffracted X-rays
25mm WC cube
T-25 press
Slit system
X-ray2
Au foil
Au foil
sample ~1030m
Length measurement using X-radiographic image
Ultrasonic cell assembly
Ultrasonic system and dual mode transducer
P S
transducer
Ultrasonic assembly in T25
transducer
14/8 cell assembly in T25
Ultrasonic assembly in DIA
6 mm
Sample Length observed from X-radiographic image:
case of (Mg,Fe)O
9.08.27.06.24.84.22.11.50
GPa*(NaCl pressure scale)
Kung et al. (2002)
l=l0(V/V0)1/3
X-ray diffraction patterns passing though different sleeves
Elasticity of HP-CEN MgSiO3 -unquenchable phase
synthesis
0
500
1000
1500
5 10 15
Low CEn
High-P Clino En
Ortho En
Spinel+
Stishovite
Bt+St
Proto En
Pressure (GPa)
Tem
pera
t ure
(C
)
Pressure (GPa)
Cel
l vol
ume
(Å3 )
6 8 10 12 14372
375
378
381
384
387
390
393
1000C 900C 800C 600C 400C 200C RT
P-Volume-T data for HP-CEN( to obtain the density, thermal expansion)
Vel
ocit
y (k
m/s
)
Pressure (GPa)
8.8
9.0
9.2
9.4
9.6
Solid-T409Open-T354
0.5%
Pressure (GPa)
6 7 8 9 10 11 12 135.0
5.1
5.2
5.3
5.4
0.5%
800C
600C
400C
200C
27C
S wave(a)
P wave(b)
27C
200C400C
600C
800C
Pressure (GPa)
Mod
ulu
s (G
Pa)
6 7 8 9 10 11 12 13
87
90
93
96
99
102
105
155
160
165
170
175
180
185
190
Solid-T409
Open-T354
~0.7%
~1.0%
800 C
600 C
400 C
200 C
27 C
800 C600 C
400 C
200 C27 C
(a)
(b) KS=(Vp2-4/3Vs2)
G=Vs2
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
0.0
0.5
1.0
1.5
2.0
2.5
3.0
0 5 10 15 20
Pressure (GPa)
P A
bs-P
NaC
l (G
Pa)
(MgFe)O
Wadsleyite, P UpWadsleyite, P Down
Li et al. (2004)
]}1))[(4(4
31]{)()[(
2
3 32
0'0
35
037
00
V
VK
V
V
V
VKP
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
Ultrasonic measurement in Deformation-DIA
SampleX-Ray beam
X-ray
d(hkl)3
d(hkl)1
13 element SS detector
conical slit (outer cone
shown in outline)
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)