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)