Anomalous elastic properties across the γ to α volume collapse in cerium

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

doi:10.1038/s41467-017-01411-9

Anomalous elastic properties across the γ to α volume collapse in cerium

Journal Article · Tue Oct 31 04:00:00 EDT 2017 · Nature Communications

DOI:https://doi.org/10.1038/s41467-017-01411-9· OSTI ID:1408129

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

The behavior of the f-electrons in the lanthanides and actinides governs important macroscopic properties but their pressure and temperature dependence is not fully explored. Cerium with nominally just one 4f electron offers a case study with its iso-structural volume collapse from the γ-phase to the α-phase ending in a critical point (pC, VC, TC), unique among the elements, whose mechanism remains controversial. Here, we present longitudinal (cL) and transverse sound speeds (cT) versus pressure from higher than room temperature to TC for the first time. While cL experiences a non-linear dip at the volume collapse, cT shows a step-like change. This produces very peculiar macroscopic properties: the minimum in the bulk modulus becomes more pronounced, the step-like increase of the shear modulus diminishes and the Poisson’s ratio becomes negative—meaning that cerium becomes auxetic. At the critical point itself cerium lacks any compressive strength but offers resistance to shear.

Research Organization:: Advanced Photon Source (APS), Argonne National Laboratory (ANL), Argonne, IL (US)

Sponsoring Organization:: DOE - BASIC ENERGY SCIENCES

OSTI ID:: 1408129

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 8; ISSN 2041-1723

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: ENGLISH

References (79)

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

Cited By (1)

Anharmonicity-induced first-order isostructural phase transition of zirconium under pressure Stavrou, Elissaios; Yang, Lin H.; Söderlind, Per Physical Review B, Vol. 98, Issue 22 https://doi.org/10.1103/physrevb.98.220101	journal	December 2018

Similar Records

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

Journal Article · Mon Oct 30 20:00:00 EDT 2017 · Nature Communications · OSTI ID:1410020

Probing Cerium 4f States across the Volume Collapse Transition by X-ray Raman Scattering

Journal Article · Sun Dec 08 19:00:00 EST 2019 · Journal of Physical Chemistry Letters · OSTI ID:1671338

Thermal Signatures of The Kondo Volume Collapse in Cerium

Journal Article · Fri May 23 00:00:00 EDT 2008 · Physical Review Letters · OSTI ID:945711

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS

Anomalous elastic properties across the γ to α volume collapse in cerium

Citation Formats

References (79)

Cited By (1)

Similar Records

Related Subjects