Elastic Properties across the y→α Volume Collapse in Cerium versus Pressure and Temperature

Lipp, M. J.; Jenei, Zs.; Cynn, H.; Kono, Y.; Park, C.; Kenney-Benson, C.; Evans, W. J.

doi:10.1038/s41467-017-01411-9

Elastic Properties across the y→α Volume Collapse in Cerium versus Pressure and Temperature

Journal Article · Tue Oct 31 00:00:00 EDT 2017 · Nature Communications

DOI:https://doi.org/10.1038/s41467-017-01411-9· OSTI ID:1410020

Lipp, M. J. ^[1]; Jenei, Zs. ^[1]; Cynn, H. ^[1]; Kono, Y. ^[2]; Park, C. ^[2]; Kenney-Benson, C. ^[2]; Evans, W. J. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Carnegie Institute of Washington, Argonne, IL (United States)

Here, the longitudinal and transverse sound speeds, c_L and c_T, of polycrystalline cerium were measured isothermally vs pressure up to the critical temperature across the iso-structural γ-α volume collapse (VC) phase transition. We deduce values for the adiabatic bulk modulus BS, the shear modulus G = ρc_T², the Poisson’s ratio ν and the Debye temperature, θ_D(p). We find that the elastic constant C₁₂ is solely responsible for the decrease of B_S with pressure towards the VC at RT. With increasing temperature, the lattice contribution ΔS_vib(γ→α) to the total entropy change across the VC decreases more rapidly to zero than the total entropy itself suggesting that another mechanism, possibly disorder, assists in stabilizing the γ-phase entropically against the α-phase. Also, with increasing temperature, the Poisson’s ratio becomes negative near the VC transition, meaning that cerium metal takes on auxetic characteristics over a small pressure range. At the critical point the Poisson’s ratio ought to be -1, since the isothermal bulk modulus vanishes and the shear modulus remains nonzero.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1410020

Alternate ID(s):: OSTI ID: 1408129

Report Number(s):: LLNL-JRNL--677515

Journal Information:: Nature Communications, Journal Name: Nature Communications Vol. 8; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (65)

Mixed valencies: Structure of phase diagrams, lattice properties and the consequences of electron hole symmetry Entel, P.; Grewe, N. Zeitschrift f�r Physik B Condensed Matter and Quanta, Vol. 34, Issue 3 https://doi.org/10.1007/bf01325617	journal	September 1979
The magic of plutonium: 5f electrons and phase instability Hecker, S. S. Metallurgical and Materials Transactions A, Vol. 35, Issue 8 https://doi.org/10.1007/s11661-006-0200-1	journal	August 2004
Magnetism or bonding: A nearly periodic table of transition elements Smith, J. L.; Kmetko, E. A. Journal of the Less Common Metals, Vol. 90, Issue 1 https://doi.org/10.1016/0022-5088(83)90119-4	journal	March 1983
Single-crystal elastic constants of γ-cerium Greiner, J. D.; McMasters, O. D.; Smith, J. F. Scripta Metallurgica, Vol. 14, Issue 9 https://doi.org/10.1016/0036-9748(80)90372-5	journal	September 1980
First observation of a negative elastic constant in intermediate valent TmSe Boppart, H.; Treindl, A.; Wachter, P. Solid State Communications, Vol. 35, Issue 6 https://doi.org/10.1016/0038-1098(80)90253-7	journal	August 1980
Negative elastic constants in intermediate valent SmxLa1−xS Schärer, U.; Wachter, P. Solid State Communications, Vol. 96, Issue 7 https://doi.org/10.1016/0038-1098(95)00418-1	journal	November 1995
Volume collapse in the Kondo lattice Lavagna, M.; Lacroix, C.; Cyrot, M. Physics Letters A, Vol. 90, Issue 4 https://doi.org/10.1016/0375-9601(82)90689-2	journal	July 1982
Watching a metal collapse: Examining cerium’s γ↔α transformation using X-ray diffraction of compressed single and polycrystals Moore, K. T.; Belhadi, L.; Decremps, F. Acta Materialia, Vol. 59, Issue 15 https://doi.org/10.1016/j.actamat.2011.06.009	journal	September 2011
Ultrasonic measurements of the sound velocities in polycrystalline San Carlos olivine in multi-anvil, high-pressure apparatus Darling, Kenneth L.; Gwanmesia, Gabriel D.; Kung, Jennifer Physics of the Earth and Planetary Interiors, Vol. 143-144 https://doi.org/10.1016/j.pepi.2003.07.018	journal	June 2004
Melting of iron at the physical conditions of the Earth's core Nguyen, Jeffrey H.; Holmes, Neil C. Nature, Vol. 427, Issue 6972 https://doi.org/10.1038/nature02248	journal	January 2004
Poisson's ratio and modern materials Greaves, G. N.; Greer, A. L.; Lakes, R. S. Nature Materials, Vol. 10, Issue 11 https://doi.org/10.1038/nmat3134	journal	October 2011
The Structure of Cerium at the Temperature of Liquid Air Schuch, A. F.; Sturdivant, J. H. The Journal of Chemical Physics, Vol. 18, Issue 1 https://doi.org/10.1063/1.1747434	journal	January 1950
Combined ultrasonic elastic wave velocity and microtomography measurements at high pressures Kono, Yoshio; Yamada, Akihiro; Wang, Yanbin Review of Scientific Instruments, Vol. 82, Issue 2 https://doi.org/10.1063/1.3552185	journal	February 2011
Simultaneous structure and elastic wave velocity measurement of SiO ₂ glass at high pressures and high temperatures in a Paris-Edinburgh cell Kono, Yoshio; Park, Changyong; Sakamaki, Tatsuya Review of Scientific Instruments, Vol. 83, Issue 3 https://doi.org/10.1063/1.3698000	journal	March 2012
High Temperature-High Pressure Structural Studies of Cerium Schiwek, A.; Porsch, F.; Holzapfel, W. B. High Pressure Research, Vol. 22, Issue 2 https://doi.org/10.1080/08957950212799	journal	January 2002
Preparation and characterization of single crystal samples for high-pressure experiments Farber, D. L.; Antonangeli, D.; Aracne, C. M. High Pressure Research, Vol. 26, Issue 1 https://doi.org/10.1080/08957950500502531	journal	March 2006
The α-γ transition in cerium is a Mott transition Johansson, Börje Philosophical Magazine, Vol. 30, Issue 3 https://doi.org/10.1080/14786439808206574	journal	September 1974
The lattice dynamics of α- and γ-Ce: a first-principles approach Huang, Li; Chen, Chang-An Journal of Physics: Condensed Matter, Vol. 19, Issue 47 https://doi.org/10.1088/0953-8984/19/47/476206	journal	October 2007
Strength and Debye temperature measurements of cerium across the γ → α volume collapse: the lattice contribution Lipp, M. J.; Kono, Y.; Jenei, Zs Journal of Physics: Condensed Matter, Vol. 25, Issue 34 https://doi.org/10.1088/0953-8984/25/34/345401	journal	July 2013
Equation of state measurements by radiography provide evidence for a liquid-liquid phase transition in cerium Lipp, M. J.; Jenei, Zs; Ruddle, D. Journal of Physics: Conference Series, Vol. 500, Issue 3 https://doi.org/10.1088/1742-6596/500/3/032011	journal	May 2014
Elasticity of cerium up to 4.4 GPa by sound velocity measurements under hydrostatic pressure Wang, Zhigang; Bi, Yan; Xu, Liang Materials Research Express, Vol. 1, Issue 2 https://doi.org/10.1088/2053-1591/1/2/026501	journal	May 2014
Screening of 4 f moments and delocalization in the compressed light rare earths McMahan, A. K.; Scalettar, R. T.; Jarrell, M. Physical Review B, Vol. 80, Issue 23 https://doi.org/10.1103/physrevb.80.235105	journal	December 2009
Role of thermal disorder for magnetism and the α - γ transition in cerium: Results from density-functional theory Jarlborg, T. Physical Review B, Vol. 89, Issue 18 https://doi.org/10.1103/physrevb.89.184426	journal	May 2014
Thermal Signatures of the Kondo Volume Collapse in Cerium Lipp, M. J.; Jackson, D.; Cynn, H. Physical Review Letters, Vol. 101, Issue 16 https://doi.org/10.1103/physrevlett.101.165703	journal	October 2008
Diffusionless γ ⇄ α Phase Transition in Polycrystalline and Single-Crystal Cerium Decremps, F.; Belhadi, L.; Farber, D. L. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/physrevlett.106.065701	journal	February 2011
X-ray Emission Spectroscopy of Cerium Across the γ − α Volume Collapse Transition Lipp, M. J.; Sorini, A. P.; Bradley, J. Physical Review Letters, Vol. 109, Issue 19 https://doi.org/10.1103/physrevlett.109.195705	journal	November 2012
First-Order Liquid-Liquid Phase Transition in Cerium Cadien, A.; Hu, Q. Y.; Meng, Y. Physical Review Letters, Vol. 110, Issue 12 https://doi.org/10.1103/physrevlett.110.125503	journal	March 2013
Role of the Lattice in the γ → α Phase Transition of Ce: A High-Pressure Neutron and X-Ray Diffraction Study Jeong, I. -K.; Darling, T. W.; Graf, M. J. Physical Review Letters, Vol. 92, Issue 10 https://doi.org/10.1103/physrevlett.92.105702	journal	March 2004
Foam Structures with a Negative Poisson's Ratio Lakes, R. Science, Vol. 235, Issue 4792 https://doi.org/10.1126/science.235.4792.1038	journal	February 1987
Elasticity of agr-Cristobalite: A Silicon Dioxide with a Negative Poisson's Ratio Yeganeh-Haeri, A.; Weidner, D. J.; Parise, J. B. Science, Vol. 257, Issue 5070 https://doi.org/10.1126/science.257.5070.650	journal	July 1992
The Compressibility and Pressure Coefficient of Resistance of Ten Elements Bridgman, P. W. Proceedings of the American Academy of Arts and Sciences, Vol. 62, Issue 8 https://doi.org/10.2307/25130122	journal	January 1927
Interplay of spin-orbit and entropic effects in Cerium Lanatà, Nicola; Yao, Yong-Xin; Wang, Cai-Zhuang arXiv https://doi.org/10.48550/arxiv.1408.2815	text	January 2014
Thermodynamics of volume collapse transitions in cerium and related compounds Bustingorry, S.; Jagla, E. A.; Lorenzana, J. arXiv https://doi.org/10.48550/arxiv.cond-mat/0509489	text	January 2005
Mixed valencies: Structure of phase diagrams, lattice properties and the consequences of electron hole symmetry Entel, P.; Grewe, N. Zeitschrift f�r Physik B Condensed Matter and Quanta, Vol. 34, Issue 3 https://doi.org/10.1007/BF01325617	journal	September 1979
Magnetic states of α- and γ-Ce at high pressure Naka, Takashi; Matsumoto, Takehiko; Môri, Nobuo Physica B: Condensed Matter, Vol. 205, Issue 1 https://doi.org/10.1016/0921-4526(94)00221-G	journal	January 1995
Cerium Koskenmaki, David C.; Gschneidner, Karl A. Handbook on the Physics and Chemistry of Rare Earths https://doi.org/10.1016/S0168-1273(78)01008-9	book	January 1978
Thermodynamics of volume-collapse transitions in cerium and related compounds Bustingorry, S.; Jagla, E. A.; Lorenzana, J. Acta Materialia, Vol. 53, Issue 19 https://doi.org/10.1016/j.actamat.2005.07.027	journal	November 2005
Cerium Koskenmaki, David C.; Gschneidner, Karl A. Handbook on the Physics and Chemistry of Rare Earths https://doi.org/10.1016/s0168-1273(78)01008-9	book	January 1978
Negative Poisson's ratios as a common feature of cubic metals Baughman, Ray H.; Shacklette, Justin M.; Zakhidov, Anvar A. Nature, Vol. 392, Issue 6674 https://doi.org/10.1038/32842	journal	March 1998
Phonons of the anomalous element cerium Krisch, M.; Farber, D. L.; Xu, R. Proceedings of the National Academy of Sciences, Vol. 108, Issue 23 https://doi.org/10.1073/pnas.1015945108	journal	May 2011
Critical behavior of an Ising model on a cubic compressible lattice Bergman, D. J.; Halperin, B. I. Physical Review B, Vol. 13, Issue 5 https://doi.org/10.1103/PhysRevB.13.2145	journal	March 1976
Lattice and spin dynamics of γ -Ce Stassis, C.; Gould, T.; McMasters, O. D. Physical Review B, Vol. 19, Issue 11 https://doi.org/10.1103/PhysRevB.19.5746	journal	June 1979
α-γ transition in Ce. II. A detailed analysis of the Kondo volume-collapse model Allen, J. W.; Liu, L. Z. Physical Review B, Vol. 46, Issue 9 https://doi.org/10.1103/PhysRevB.46.5047	journal	September 1992
Thermodynamics of the Ce γ – α transition: Density-functional study Wang, Y.; Hector, L. G.; Zhang, H. Physical Review B, Vol. 78, Issue 10 https://doi.org/10.1103/PhysRevB.78.104113	journal	September 2008
Role of the lattice in the two-step evolution of γ -cerium under pressure Decremps, F.; Antonangeli, D.; Amadon, B. Physical Review B, Vol. 80, Issue 13 https://doi.org/10.1103/PhysRevB.80.132103	journal	October 2009
Screening of 4 f moments and delocalization in the compressed light rare earths McMahan, A. K.; Scalettar, R. T.; Jarrell, M. Physical Review B, Vol. 80, Issue 23 https://doi.org/10.1103/PhysRevB.80.235105	journal	December 2009
Shock melting of cerium Jensen, B. J.; Cherne, F. J.; Cooley, J. C. Physical Review B, Vol. 81, Issue 21 https://doi.org/10.1103/PhysRevB.81.214109	journal	June 2010
Elastic properties of Pu metal and Pu-Ga alloys Söderlind, Per; Landa, Alex; Klepeis, J. E. Physical Review B, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevB.81.224110	journal	June 2010
Temperature dependence of elastic moduli of polycrystalline β plutonium Suzuki, Yoko; Fanelli, V. R.; Betts, J. B. Physical Review B, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevB.84.064105	journal	August 2011
4 f electron delocalization and volume collapse in praseodymium metal Bradley, Joseph A.; Moore, Kevin T.; Lipp, Magnus J. Physical Review B, Vol. 85, Issue 10 https://doi.org/10.1103/PhysRevB.85.100102	journal	March 2012
Role of thermal disorder for magnetism and the α - γ transition in cerium: Results from density-functional theory Jarlborg, T. Physical Review B, Vol. 89, Issue 18 https://doi.org/10.1103/PhysRevB.89.184426	journal	May 2014
Interplay of spin-orbit and entropic effects in cerium Lanatà, Nicola; Yao, Yong-Xin; Wang, Cai-Zhuang Physical Review B, Vol. 90, Issue 16 https://doi.org/10.1103/PhysRevB.90.161104	journal	October 2014
Thermodynamics of theα−γtransition in cerium studied by an LDA + Gutzwiller method Tian, Ming-Feng; Song, Hai-Feng; Liu, Hai-Feng Physical Review B, Vol. 91, Issue 12 https://doi.org/10.1103/PhysRevB.91.125148	journal	March 2015
Thermal Signatures of the Kondo Volume Collapse in Cerium Lipp, M. J.; Jackson, D.; Cynn, H. Physical Review Letters, Vol. 101, Issue 16 https://doi.org/10.1103/PhysRevLett.101.165703	journal	October 2008
Comment on “Thermal Signatures of the Kondo Volume Collapse in Cerium” Johansson, B.; Ruban, A. V.; Abrikosov, I. A. Physical Review Letters, Vol. 102, Issue 18 https://doi.org/10.1103/PhysRevLett.102.189601	journal	May 2009
Diffusionless γ ⇄ α Phase Transition in Polycrystalline and Single-Crystal Cerium Decremps, F.; Belhadi, L.; Farber, D. L. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.065701	journal	February 2011
X-ray Emission Spectroscopy of Cerium Across the γ − α Volume Collapse Transition Lipp, M. J.; Sorini, A. P.; Bradley, J. Physical Review Letters, Vol. 109, Issue 19 https://doi.org/10.1103/PhysRevLett.109.195705	journal	November 2012
First-Order Liquid-Liquid Phase Transition in Cerium Cadien, A.; Hu, Q. Y.; Meng, Y. Physical Review Letters, Vol. 110, Issue 12 https://doi.org/10.1103/PhysRevLett.110.125503	journal	March 2013
Magnetic Susceptibility of Cerium Metal Under Pressure MacPherson, M. R.; Everett, G. E.; Wohlleben, D. Physical Review Letters, Vol. 26, Issue 1 https://doi.org/10.1103/PhysRevLett.26.20	journal	January 1971
Kondo Volume Collapse and the γ → α Transition in Cerium Allen, J. W.; Martin, Richard M. Physical Review Letters, Vol. 49, Issue 15 https://doi.org/10.1103/PhysRevLett.49.1106	journal	October 1982
Calculated Phase Diagram for the γ ⇌ α Transition in Ce Johansson, B.; Abrikosov, I. A.; Aldén, M. Physical Review Letters, Vol. 74, Issue 12 https://doi.org/10.1103/PhysRevLett.74.2335	journal	March 1995
Role of the Lattice in the γ → α Phase Transition of Ce: A High-Pressure Neutron and X-Ray Diffraction Study Jeong, I. -K.; Darling, T. W.; Graf, M. J. Physical Review Letters, Vol. 92, Issue 10 https://doi.org/10.1103/PhysRevLett.92.105702	journal	March 2004
The α − γ Transition of Cerium Is Entropy Driven Amadon, B.; Biermann, S.; Georges, A. Physical Review Letters, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevLett.96.066402	journal	February 2006
Probing the γ − α Transition in Bulk Ce under Pressure: A Direct Investigation by Resonant Inelastic X-Ray Scattering Rueff, J. -P.; Itié, J. -P.; Taguchi, M. Physical Review Letters, Vol. 96, Issue 23 https://doi.org/10.1103/PhysRevLett.96.237403	journal	June 2006
Phonon Dispersions of fcc -Plutonium-Gallium by Inelastic X-ray Scattering Wong, J. Science, Vol. 301, Issue 5636 https://doi.org/10.1126/science.1087179	journal	August 2003

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