Shock-induced phase transition of Tin: Experimental study with velocity and temperature measurements

Chauvin, Camille; Bouchkour, Zakaria; Sinatti, F.; Petit, J.

doi:10.1063/1.4971569

Cited by 4 publications

(5 citation statements)

References 3 publications

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“…[17] measured ∼1 km/s velocities on the surface of 1-mm-thick ferrite impacted by a 250 µm Mylar flyer. PDV has also been used to measure shock velocities of 250-nm-thick Ti from laser ablated Si [18] and the polymorphic transition of shock compressed Sn up to 44 GPa [19].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic disassembly and expansion of electron-beam-heated warm dense copper

et al. 2018

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Cu foils, 200 µm in thickness, were heated in two stages by a ∼100-ns-long mono-energetic electron bunch at 19.8 MeV and a current of 1.7 kA (8.5×10 14 e-) in a 2-mm-spot to Te ∼ 1 eV. After 45 ns of isochoric heating the pressure in the foil builds upto >20 GPa (200 kbar), it begins to hydrodynamically disassemble, and a velocity spread is measured. Near the end of the electron pulse the 1550 nm probe is cutoff or absorbed. Photonic doppler velocimetry measurements were made to quantify the expansion velocity, hydrodynamic disassembly time, and pressure of the foil prior to cutoff. Measurements indicate foil motion begins the instant electrons pass through the foil and continues until the particle velocity approaches the ambient sound velocity of Cu and the bulk density exceeds the critical density of the probe. Once the density of the plasma drops below the critical threshold and begins reflecting again, an expansion velocity of the classical plasma is also measured, similar to the point-source solution.

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Section: Introductionmentioning

confidence: 99%

Hydrodynamic disassembly and expansion of electron-beam-heated warm dense copper

et al. 2018

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“…The solid blue lines show phase boundaries we calculated in this work; the green dashed line is the principal isentrope from[1]; the vertical dotted line shows the maximal pressure of 1.33 TPa reached in experiment[1]. The solid red lines show phase boundaries from experiment[45,46]; the dashed lines approximately show phase boundaries from experiment[12]; dash-dotted line is the melting curve from EOS[47]; results from melting curve measurements are shown by[16],•[18],[19], ×[48], •[14], and[17]; and the DFT-MD calculation[49] is shown by ♦.…”

mentioning

confidence: 87%

“…The figure 6(b) compares our melting curve with available experimental data [14,[16][17][18][19]48] and first-principles molecular dynamics (DFT-MD) calculations [49]. Our curve is calculated with account for the bct → bcc transition.…”

Section: Tinmentioning

confidence: 99%

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Ab initio calculations of the phase diagrams of tin and lead under pressures up to a few TPa

Smirnov

2020

J. Phys.: Condens. Matter

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The paper studies relative structural stability for various crystal phases of tin and lead from first principles with the full-potential all-electron full-potential all-electron linear muffin-tin orbital method to pressures of a few TPa both at zero temperature and at T > 0. Using data from our calculations we construct phase diagrams for the two metals in the region of very high compressions and obtain their melting curves. For tin at pressures <100 GPa and zero temperature, we did not find the region of stability of the body-centered orthorhombic (bco) phase, as it was earlier observed in experiments by Salamat et al [2013 Phys. Rev. B 88 104104]. Our calculations suggest that one structural transition from the tetragonal to cubic phase, bct → bcc, occurs in perfect Sn crystal at T = 0 K in the pressure range of about 27–32 GPa. But any deviation from perfection may cause an orthorhombic distortion of its tetragonal phase. At pressures above 100 GPa, the bcc → hexagonal close-packed (hcp) transition exists in both metals, and the phase boundary has a domed shape and does not rise in temperature above 2 kK. This behavior of the phase boundary with the increasing temperature is caused by the softer phonon modes of the bcc structure and the smaller contribution of lattice vibrations to the free energy of the crystal compared to the hcp phase. At pressures above 2.5 TPa and T ≲ 1 kK, lead can also undergo another structural transition, hcp → fcc, but at T > 1.5 kK there must exist the more energetically preferable bcc → fcc transition.

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“…Anderson's model was based on a three-phase EOS model developed by Hayes 13 for bismuth. A recent work in shock waves by Chauvin et al 14 used a thin carbon layer of known emissivity between the tin and the window to achieve a known emissivity and allow an accurate pyrometric temperature measurement. However, the carbon causes complexities that make it difficult to identify the temperature at which the release crosses the melt curve.…”

Section: Introductionmentioning

confidence: 99%

High-pressure melt curve of shock-compressed tin measured using pyrometry and reflectance techniques

Lone

Asimow

Fat’yanov

et al. 2019

Journal of Applied Physics

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We have developed a new technique to measure the melt curve of a shocked metal sample and have used it to measure the high-pressure solid-liquid phase boundary of tin from 10 to 30 GPa and 1000 to 1800 K. Tin was shock compressed by plate impact using a single-stage powder gun, and we made accurate, time-resolved radiance, reflectance, and velocimetry measurements at the interface of the tin sample and a lithium fluoride window. From these measurements, we determined temperature and pressure at the interface vs time. We then converted these data to temperature vs pressure curves and plotted them on the tin phase diagram. The tin sample was initially shocked into the high-pressure solid γ phase, and a subsequent release wave originating from the back of the impactor lowered the pressure at the interface along a constant entropy path (release isentrope). When the release isentrope reaches the solid-liquid phase boundary, melt begins and the isentrope follows the phase boundary to low pressure. The onset of melt is identified by a significant change in the slope of the temperature-pressure release isentrope. Following the onset of melt, we obtain a continuous and highly accurate melt curve measurement. The technique allows a measurement along the melt curve with a single radiance and reflectance experiment. The measured temperature data are compared to the published equation of state calculations. Our data agree well with some but not all of the published melt curve calculations, demonstrating that this technique has sufficient accuracy to assess the validity of a given equation of state model.

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Shock-induced phase transition of Tin: Experimental study with velocity and temperature measurements

Cited by 4 publications

References 3 publications

Hydrodynamic disassembly and expansion of electron-beam-heated warm dense copper

Hydrodynamic disassembly and expansion of electron-beam-heated warm dense copper

Ab initio calculations of the phase diagrams of tin and lead under pressures up to a few TPa

High-pressure melt curve of shock-compressed tin measured using pyrometry and reflectance techniques

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