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

Abstract

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 T 2, the Poisson’s ratio ν and the Debye temperature, θ D(p). We find that the elastic constant C 12 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.

Authors:
 [1];  [1];  [1];  [2];  [2];  [2];  [1]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Carnegie Institute of Washington, Argonne, IL (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1410020
Report Number(s):
LLNL-JRNL-677515
Journal ID: ISSN 2041-1723
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 8; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Lipp, M. J., Jenei, Zs., Cynn, H., Kono, Y., Park, C., Kenney-Benson, C., and Evans, W. J. Elastic Properties across the y→α Volume Collapse in Cerium versus Pressure and Temperature. United States: N. p., 2017. Web. doi:10.1038/s41467-017-01411-9.
Lipp, M. J., Jenei, Zs., Cynn, H., Kono, Y., Park, C., Kenney-Benson, C., & Evans, W. J. Elastic Properties across the y→α Volume Collapse in Cerium versus Pressure and Temperature. United States. doi:10.1038/s41467-017-01411-9.
Lipp, M. J., Jenei, Zs., Cynn, H., Kono, Y., Park, C., Kenney-Benson, C., and Evans, W. J. Tue . "Elastic Properties across the y→α Volume Collapse in Cerium versus Pressure and Temperature". United States. doi:10.1038/s41467-017-01411-9. https://www.osti.gov/servlets/purl/1410020.
@article{osti_1410020,
title = {Elastic Properties across the y→α Volume Collapse in Cerium versus Pressure and Temperature},
author = {Lipp, M. J. and Jenei, Zs. and Cynn, H. and Kono, Y. and Park, C. and Kenney-Benson, C. and Evans, W. J.},
abstractNote = {Here, the longitudinal and transverse sound speeds, cL and cT, 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 = ρcT2, the Poisson’s ratio ν and the Debye temperature, θD(p). We find that the elastic constant C12 is solely responsible for the decrease of BS with pressure towards the VC at RT. With increasing temperature, the lattice contribution ΔSvib(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.},
doi = {10.1038/s41467-017-01411-9},
journal = {Nature Communications},
number = ,
volume = 8,
place = {United States},
year = {2017},
month = {10}
}

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Works referenced in this record:

Calculated Phase Diagram for the γ α Transition in Ce
journal, March 1995


Simultaneous structure and elastic wave velocity measurement of SiO 2 glass at high pressures and high temperatures in a Paris-Edinburgh cell
journal, March 2012

  • Kono, Yoshio; Park, Changyong; Sakamaki, Tatsuya
  • Review of Scientific Instruments, Vol. 83, Issue 3
  • DOI: 10.1063/1.3698000

Magnetism or bonding: A nearly periodic table of transition elements
journal, March 1983


Poisson's ratio and modern materials
journal, October 2011

  • Greaves, G. N.; Greer, A. L.; Lakes, R. S.
  • Nature Materials, Vol. 10, Issue 11
  • DOI: 10.1038/nmat3134

Thermodynamics of volume-collapse transitions in cerium and related compounds
journal, November 2005


Probing the γ α Transition in Bulk Ce under Pressure: A Direct Investigation by Resonant Inelastic X-Ray Scattering
journal, June 2006


High Temperature-High Pressure Structural Studies of Cerium
journal, January 2002

  • Schiwek, A.; Porsch, F.; Holzapfel, W. B.
  • High Pressure Research, Vol. 22, Issue 2
  • DOI: 10.1080/08957950212799

First observation of a negative elastic constant in intermediate valent TmSe
journal, August 1980


Magnetic states of α- and γ-Ce at high pressure
journal, January 1995


Mixed valencies: Structure of phase diagrams, lattice properties and the consequences of electron hole symmetry
journal, September 1979

  • Entel, P.; Grewe, N.
  • Zeitschrift f�r Physik B Condensed Matter and Quanta, Vol. 34, Issue 3
  • DOI: 10.1007/BF01325617

Magnetic Susceptibility of Cerium Metal Under Pressure
journal, January 1971


Elastic properties of Pu metal and Pu-Ga alloys
journal, June 2010


Phonon Dispersions of fcc  -Plutonium-Gallium by Inelastic X-ray Scattering
journal, August 2003


Negative elastic constants in intermediate valent SmxLa1−xS
journal, November 1995


First-Order Liquid-Liquid Phase Transition in Cerium
journal, March 2013


Lattice and spin dynamics of γ -Ce
journal, June 1979


The magic of plutonium: 5f electrons and phase instability
journal, August 2004


Role of the lattice in the two-step evolution of γ -cerium under pressure
journal, October 2009


Negative Poisson's ratios as a common feature of cubic metals
journal, March 1998

  • Baughman, Ray H.; Shacklette, Justin M.; Zakhidov, Anvar A.
  • Nature, Vol. 392, Issue 6674
  • DOI: 10.1038/32842

Melting of iron at the physical conditions of the Earth's core
journal, January 2004


Diffusionless γ α Phase Transition in Polycrystalline and Single-Crystal Cerium
journal, February 2011


α-γ transition in Ce. II. A detailed analysis of the Kondo volume-collapse model
journal, September 1992


Ultrasonic measurements of the sound velocities in polycrystalline San Carlos olivine in multi-anvil, high-pressure apparatus
journal, June 2004

  • Darling, Kenneth L.; Gwanmesia, Gabriel D.; Kung, Jennifer
  • Physics of the Earth and Planetary Interiors, Vol. 143-144
  • DOI: 10.1016/j.pepi.2003.07.018

Screening of 4 f moments and delocalization in the compressed light rare earths
journal, December 2009


Interplay of spin-orbit and entropic effects in cerium
journal, October 2014


Shock melting of cerium
journal, June 2010


Phonons of the anomalous element cerium
journal, May 2011

  • Krisch, M.; Farber, D. L.; Xu, R.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 23
  • DOI: 10.1073/pnas.1015945108

The α γ Transition of Cerium Is Entropy Driven
journal, February 2006


Watching a metal collapse: Examining cerium’s γ↔α transformation using X-ray diffraction of compressed single and polycrystals
journal, September 2011


Elasticity of agr-Cristobalite: A Silicon Dioxide with a Negative Poisson's Ratio
journal, July 1992


Foam Structures with a Negative Poisson's Ratio
journal, February 1987


Combined ultrasonic elastic wave velocity and microtomography measurements at high pressures
journal, February 2011

  • Kono, Yoshio; Yamada, Akihiro; Wang, Yanbin
  • Review of Scientific Instruments, Vol. 82, Issue 2
  • DOI: 10.1063/1.3552185

The Compressibility and Pressure Coefficient of Resistance of Ten Elements
journal, January 1927

  • Bridgman, P. W.
  • Proceedings of the American Academy of Arts and Sciences, Vol. 62, Issue 8
  • DOI: 10.2307/25130122

Volume collapse in the Kondo lattice
journal, July 1982


Comment on “Thermal Signatures of the Kondo Volume Collapse in Cerium”
journal, May 2009


Preparation and characterization of single crystal samples for high-pressure experiments
journal, March 2006


Role of the Lattice in the γ α Phase Transition of Ce: A High-Pressure Neutron and X-Ray Diffraction Study
journal, March 2004


Critical behavior of an Ising model on a cubic compressible lattice
journal, March 1976


The α-γ transition in cerium is a Mott transition
journal, September 1974


Kondo Volume Collapse and the γ α Transition in Cerium
journal, October 1982


The Structure of Cerium at the Temperature of Liquid Air
journal, January 1950

  • Schuch, A. F.; Sturdivant, J. H.
  • The Journal of Chemical Physics, Vol. 18, Issue 1
  • DOI: 10.1063/1.1747434

Single-crystal elastic constants of γ-cerium
journal, September 1980