prakapenka@cars.uchicago.edu Dynamics of Crystallization and Melting under Pressure Vitali Prakapenka GSECARS, University of Chicago, Chicago 1
The world s deepest borehole in Sakhalin is 12,345 m (40,502 ft) LVP DAC Most of what we know about the structure of the Earth's deep interior comes from the study of seismic wave velocities In order to interpret such measurements in terms of mineralogical/compositional models of the Earth's interior, data on the physical and chemical properties of minerals at high pressures and temperatures are essential R.Wenk, 2005 Knowledge of thermodynamics, phase equilibria, crystal chemistry, crystallography, rheology, diffusion and heat transport are required to characterize the structure and dynamics of the Earth's deep interior
Science 316, 1880 (2007), Times Cited: 53 At pressures above 225 gigapascals and temperatures over 3400 kelvin, Fe0.9Ni0.1 adopts a body-centered cubic structure
High P-T phase diagram of Germanium Intensity, a.u. ~1280K molten Ge 6 8 10 12 14 Ge, 19 GPa 1280K 1150K 1050K RT Temperature, K 2000 1600 1200 800 Ge-I Liquid Voronin Ge-I Ge-I/Ge-II Ge-II melt Ge-II MgO Ge II 400 5 6 7 8 9 10 11 12 13 14 15 2Θ, degrees 0 5 10 15 20 25 30 35 40 Pressure, GPa Prakapenka et al., High Pressure Research, 2008, 28:3,225
X-ray Laser Diamond anvil Sample 10 microns Pressure medium Diamond anvil hot spot in the confined space
Fe : SiO 2, 38 GPa, 30 µm
Carbon transport in diamond anvil cells Prakapenka et al, High Temperatures High Pressures, 2003/2004, volume 35/36, pages 237-249
Dewaele et al, PRL, 2010
Fe:C(d) + NaCl, 1:1, P ~ 92 GPa T quenched Fe 7 C 3 ^ diamond 1700K 1900K Fe 3 C 1520K 1400K RT Prakapenka et al, 2011
SEM images of FeO sample after laser heating Leonid Dubrovinsky, BGI
Melting of Fe-Ni alloy at 60 GPa 101 hcp 101 hcp Melt T ~ 3250 K 10 15 20 111 fcc 10 15 20 11
Ice VII, 7 GPa, Tm ~ 600K (110) 12
RT, starting Ice VII, 7 GPa, T m ~ 600K HT RT Laser heating 13
14
Ice VII, 7 GPa, T m ~ 600K 60 s, 100 mm, 3 p/s (110) Laser effect? 15
Pt foil: melting at ambient pressure with double sided laser heating solid Pt fluid 1900 K 2100 K 16
Images of electron back scattered diffraction at 1000 C and 0.5/sec under various strains; (a) 10%, (b) 50% and (c) 500% Grain boundary misorientation maps of electron back scattered diffraction Kim et al, METALS AND MATERIALS International, Vol. 8, No. 1 (2002), pp. 7~13 17
Dynamic recrystallization http://www.ndt-ed.org 18
Chemistry Sample diffusion Crystallization
Probing fundamental ultrafast processes fs ps ns µs ms s min Atomic vibrations Phase Transformation Dislocation nucleation Static experiment recrystallization diffusion Thermally activated reaction dynamics SAXS Synchrotron Inelastic scattering XES High P-T-B-ε Dynamic load Laser o phase transition kinetics o structural dynamics & deformation o chemical reaction dynamics o transport properties (diffusion) o electronic properties
Finite-element calculations of the temperature profiles in the DAC cavity CW 8 ns pulse width Goncharov, JSR, 2009
Pulse laser heating 0.6 1 μs up to 50 khz Intensity, a.u. 0.3 0.0 0.16 0.20 0.24 0.28 0.32 0.36 0.40 Time, ms Goncharov, Prakapenka et al, Rev. Sci. Instrum. 81, 113902 (2010)
Optical schema of the on-line, flat top, double-sided laser heating system at GSECARS 500 10,000 K Prakapenka et al., High Pressure Research, 2008, 28:3,225
Standard Operating Mode, top-up 102 ma in 24 singlets (single bunches) with a nominal current of 4.25 ma and a spacing of 153 nanoseconds between 40 ps singlets. 65 ps, 16 ma T=3.672 µs Synchrotron hybrid fill 500 ns, 88 ma 1.594 µs Special Operating Mode - hybrid fill, top-up Total current is 102 ma. A single bunch containing 16 ma isolated from the remaining bunches by symmetrical 1.594 microseconds gaps. The remaining current is distributed in 8 group of 7 consecutive bunches with a maximum of 11 ma per group. The total length of the bunch train is 500 ns. 4.25 ma T=3.672 µs Synchrotron 24 singlets 153 ns
Pt, 69 GPa Pilatus, 10000 pls 600 ns width 0 ns delay 200 ns delay 600 ns delay
16 ma Synchrotron hybrid fill 500 ns, 88 ma Detector window: 0.6 us Scan step: 0.2 us CeO 2, 10 5 pulses, 37 kev 2Θ, degree 0.2 µs
16 ma Synchrotron hybrid fill 120 500 ns, 88 ma 100 80 Counts, a.u 60 40 20 0-0.4 0.0 0.4 0.8 1.2 1.6 Delay, microseconds
Laser 16 ma Synchrotron hybrid fill 500 ns, 88 ma 300 HT RT detector laser Intensity, a.u. 200 Intensity, a.u. 4 2 100 0-2 -1 0 1 2 3 4 5 6 7 Time, µs 9 Two theta, degree
The time-resolved radiometric measurements of temperature 500 ns temporal resolution accumulation times: 0.1-10 s Measurements Planck fit 2741(6) K Relative Intensity 1316(5) K 560 580 600 620 640 660 Wavelength (nm) Goncharov, Prakapenka et al, Rev. Sci. Instrum. 81, 113902 (2010)
Pulsed laser heating Ir at 40 GPa (111) Ir, 40 GPa 300 K 2600 K 3600 K Intensity, a.u 50 (200) 300 K 2600 3600 K 9 10 11 2Θ, degree
Melting can be detected by observing a diffuse diffraction ring 3600 K 3350 K 3000 K 4 2400 K 3 Intensity (arb. units) 2 1 0 4 6 8 10 12 14 16 TwoTheta (degree)
Chemical reactivity is very fast in pulsed heating experiments New possibilities for studying of chemical reactions Ir Ir Ir Ir Intensity (arb. units) IrN2 at 42 GPa- this work IrN2 at 0 GPa -Crowhurst et al., 2007 IrN 2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 dspace/a Ir
Compare XRD for CeO 2 collected with PILATUS detector for different exposure time: continues 10s (divided by 50) and 0.2s averaged over 10 5 pls, 2us window 120 pulse mode, 0.2s continius, 10s Inensity, a.u 80 40 6 8 10 12 14 16 18 2Θ, degree
Standard Operating Mode, top-up: 102 ma in 24 singlets (single bunches) with a nominal current of 4.25 ma and a spacing of 153 nanoseconds between 40 ps singlets Detector window: 2 us or ~12 single bunches or ~2x10 5 photons 0.04 10 pls Intensity, a.u. 0.03 0.02 0.01 0.00 5 10 15 2Θ, degree
Standard Operating Mode, top-up: 102 ma in 24 singlets (single bunches) with a nominal current of 4.25 ma and a spacing of 153 nanoseconds between 40 ps singlets Detector window: 2 us or ~12 single bunches or ~2x10 5 photons 0.4 10 pls 100 pls Intensity, a.u. 0.3 0.2 0.1 0.0 5 10 15 2Θ, degree
Standard Operating Mode, top-up: 102 ma in 24 singlets (single bunches) with a nominal current of 4.25 ma and a spacing of 153 nanoseconds between 40 ps singlets Detector window: 2 us or ~12 single bunches or ~2x10 5 photons 40 10 pls 100 pls 10000 pls Intensity, a.u. 30 20 10 0 5 10 15 2Θ, degree
MAR-CCD Readout time: 3.5 s Dynamic range: 16 bits Size: Ø165 mm Pixel size: 79 um PILATUS 100K Readout time: 2.7 ms Dynamic range: 20 bits Size: ~84x33 mm 2 Pixel size: 172 um
Dynamic x-ray probe optimization: < 1 µs: 65 ps, 16 ma T=3.672 µs Synchrotron hybrid fill 500 ns, 88 ma 1.594 µs 2-100 µs: 4.25 ma T=3.672 µs Synchrotron 24 singlets 153 ns General: Detector: larger area, higher efficiency above 30 kev Sample: thick, high Z, single crystal
Pulse laser heating and optical spectroscopy combined with time-resolved x-ray probe Reliable experimental conditions at higher then static T and P Probing fundamental ultrafast processes o high temperature EOS o phase transition kinetics o structural dynamics & deformation o chemical reaction dynamics o transport properties (e.g., diffusion) o electronic properties GSECARS: Mark Rivers, Steve Sutton, Yanbin Wang, Peter Eng, Matt Newville, Przemek Dera, Nancy Lazarz, Fred Sopron CIW : A. Goncharov V. Struzhkin ESRF : I. Kantor