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First-principles study of vibrational entropy effects on the PbTe-SrTe phase diagram

Journal Article · · Physical Review Materials
 [1];  [2];  [2]
  1. Northwestern Univ., Evanston, IL (United States); Northwestern University
  2. Northwestern Univ., Evanston, IL (United States)
We present first-principles calculations of the solid-state phase diagram of PbTe-SrTe that include both configurational and vibrational contributions to the free energy. These configurational and vibrational free energies were calculated using the cluster expansion (CE) approach and quasiharmonic phonon calculations, respectively. The coupled configurational and vibrational degrees of freedom were taken into account by including temperature-dependent CE interactions with the T = 0K values and temperature dependence of the interactions determined from total energies and phonon free energies, both calculated using density functional theory. This Hamiltonian was then employed in Monte Carlo simulations to obtain a quantitative prediction of the PbTe-SrTe phase diagram. The phase diagram consists of a miscibility gap with a maximum temperature of ~500 K, with the inclusion of the vibrational entropy resulting in a more than fourfold increase in the calculated solubility limits of SrTe in PbTe. Our results suggest that the equilibrium solubility of this system is likely much larger than previously thought and deserves further experimental investigation.
Research Organization:
Northwestern Univ., Evanston, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231; SC0014520
OSTI ID:
1775292
Alternate ID(s):
OSTI ID: 1471150
Journal Information:
Physical Review Materials, Journal Name: Physical Review Materials Journal Issue: 9 Vol. 2; ISSN 2475-9953
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (73)

Nanostructuring and High Thermoelectric Efficiency in p-Type Ag(Pb1–ySny)mSbTe2+m journal May 2006
Understanding Nanostructuring Processes in Thermoelectrics and Their Effects on Lattice Thermal Conductivity journal February 2016
Monte carlo study of the phase diagrams of binary alloys with face centered cubic lattice structure journal September 1981
Generalized cluster description of multicomponent systems journal November 1984
A derivation of the Ising model for the computation of phase diagrams journal March 1993
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
The alloy theoretic automated toolkit: A user guide journal December 2002
Ni-Au: A testing ground for theories of phase stability journal May 1997
Predicting the size- and temperature-dependent shapes of precipitates in Al–Zn alloys journal October 2000
Multicomponent multisublattice alloys, nonconfigurational entropy and other additions to the Alloy Theoretic Automated Toolkit journal June 2009
First-principles phase diagram calculations for the system NaCl–KCl: The role of excess vibrational entropy journal January 2006
Review of the magnetocaloric effect in manganite materials journal January 2007
More accurate calculations of the magnetic entropy changes journal October 2009
High performance n-type PbTe-based materials for thermoelectric applications journal June 2005
Vibrational thermodynamics of materials journal May 2010
First principles phonon calculations in materials science journal November 2015
Strong Reduction of Thermal Conductivity in Nanostructured PbTe Prepared by Matrix Encapsulation journal October 2006
Nanostructured Thermoelectrics: The New Paradigm? journal February 2010
High ZT in p-Type (PbTe) 1–2 x (PbSe) x (PbS) x Thermoelectric Materials journal February 2014
High-performance bulk thermoelectrics with all-scale hierarchical architectures journal September 2012
Strained endotaxial nanostructures with high thermoelectric figure of merit journal January 2011
Non-equilibrium processing leads to record high thermoelectric figure of merit in PbTe–SrTe journal July 2016
Complex thermoelectric materials journal February 2008
All-scale hierarchical thermoelectrics: MgTe in PbTe facilitates valence band convergence and suppresses bipolar thermal transport for high performance journal January 2013
Thermopower enhancement in PbTe with Pb precipitates journal September 2005
Improved hybrid functional for solids: The HSEsol functional journal January 2011
Influence of the exchange-correlation functional on the quasi-harmonic lattice dynamics of II-VI semiconductors journal August 2015
Differences in vibrational entropy of disordered and ordered Cu 3 Au journal December 1995
Short-range-order types in binary alloys: a reflection of coherent phase stability journal March 2000
Effects of vibrational entropy on the Al–Si phase diagram journal March 2005
First-principles phase diagram calculations for the rocksalt-structure quasibinary systems TiN–ZrN, TiN–HfN and ZrN–HfN journal November 2016
Self-driven lattice-model Monte Carlo simulations of alloy thermodynamic properties and phase diagrams journal July 2002
Inhomogeneous Electron Gas journal November 1964
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Special points for Brillouin-zone integrations journal June 1976
Self-interaction correction to density-functional approximations for many-electron systems journal May 1981
Density-functional theory applied to phase transformations in transition-metal alloys journal April 1983
First-principles calculation of alloy phase diagrams: The renormalized-interaction approach journal August 1989
First-principles calculation of temperature-composition phase diagrams of semiconductor alloys journal April 1990
Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation journal September 1992
Ab initiomolecular dynamics for liquid metals journal January 1993
Global volume relaxations and phase stability in disordered Pd-Rh alloys journal September 1993
Theoretical study of alloy phase stability in the Cd-Mg system journal July 1993
Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium journal May 1994
Phonon densities of states and vibrational entropies of ordered and disordered Ni 3 Al journal August 1995
First-principles theory of short-range order, electronic excitations, and spin polarization in Ni-V and Pd-V alloys journal September 1995
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Cation and vacancy ordering in Li x CoO 2 journal January 1998
Cu-Au, Ag-Au, Cu-Ag, and Ni-Au intermetallics: First-principles study of temperature-composition phase diagrams and structures journal March 1998
First-principles theory of vibrational effects on the phase stability of Cu-Au compounds and alloys journal September 1998
Coherent phase stability in Al-Zn and Al-Cu fcc alloys: The role of the instability of fcc Zn journal December 1999
Simple concentration-dependent pair interaction model for large-scale simulations of Fe-Cr alloys journal November 2011
Ab initio thermodynamics of intrinsic oxygen vacancies in ceria journal October 2012
Coherent and incoherent phase stabilities of thermoelectric rocksalt IV-VI semiconductor alloys journal October 2012
Vibrational contributions to the phase stability of PbS-PbTe alloys journal November 2015
Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces journal April 2008
First-Principles Theory of Competing Order Types, Phase Separation, and Phonon Spectra in Thermoelectric AgPb m SbTe m + 2 Alloys journal October 2008
Strongly Constrained and Appropriately Normed Semilocal Density Functional journal July 2015
Lattice Vibrations Change the Solid Solubility of an Alloy at High Temperatures journal November 2016
Long-Range Order and Short-Range Order in Pd 3 V: Breakdown of the Mean-Field Theory journal May 1987
Special quasirandom structures journal July 1990
Vibrational entropy of ordered and disordered Ni 3 Al journal February 1993
Ising-like Description of Structurally Relaxed Ordered and Disordered Alloys journal October 1995
Generalized Gradient Approximation Made Simple journal October 1996
Large Vibrational Effects upon Calculated Phase Boundaries in Al-Sc journal January 2001
The effect of lattice vibrations on substitutional alloy thermodynamics journal January 2002
Lead strontium telluride and lead barium telluride grown by molecular-beam epitaxy journal May 1987
Quantum Dot Superlattice Thermoelectric Materials and Devices journal September 2002
Cubic AgPbmSbTe2+m: Bulk Thermoelectric Materials with High Figure of Merit journal February 2004
Enhancement of Thermoelectric Efficiency in PbTe by Distortion of the Electronic Density of States journal July 2008
Prediction of Li Intercalation and Battery Voltages in Layered vs. Cubic Li[sub x]CoO[sub 2] journal January 1998
Predicting metastable phase boundaries in Al–Cu alloys from first-principles calculations of free energies: The role of atomic vibrations journal March 2006
Automating first-principles phase diagram calculations journal August 2002

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