Crystal chemistry and Calphad modeling of the σ phase

J.-M. Joubert

Progress in Materials Science 53 (3) 528-583 (2008) · Elsevier BV

DOI: 10.1016/j.pmatsci.2007.04.001

Data: JSON record · id doi:10.1016/j.pmatsci.2007.04.001 · metadata: crossref

Roles in ORCHID

• cited as the original source of values
• discovery lead (found by Crossref assessment discovery, not read): rank 2689, score 49; systems named in title: none

Systems

Nb–Re

Evidence in ORCHID

2 values in 1 other papers cite this work as their source.

Availability

Read by ORCHID: no (full_text_screened_for_origin). Open-access licence (Crossref license field): none deposited. Crossref is-referenced-by count: 268 (retrieved 2026-10-23).

Relations

Cited by (Crossref reference lists) (56)

• Bulk and Surface Properties of Liquid Cr-Nb-Re Alloys (2014) [crossref_reference_list]
• Experimental Investigation and Thermodynamic Calculation of the Co-Cr-Mo System (2014) [crossref_reference_list]
• Professor Jan Vřešťál and His Contributions Towards the Implementing of Ab Initio Data into the CALPHAD Method and Extension of the Phase Diagram Calculations Down to 0 K (2019) [crossref_reference_list]
• Applying the Effective Bond Energy Formalism (EBEF) to Describe the Sigma (σ) Phase in the Co-Cr-Ni-Re System (2023) [crossref_reference_list]
• The Reassessment of the Thermodynamic Description of the B-Fe-V System with Focus on the Ternary Phase (2025) [crossref_reference_list]
• Simulation of BCC dissolution in Fe–Cr–Ni system by ICME (2022) [crossref_reference_list]
• Phase stability in the ternary Re–W–Zr system (2014) [crossref_reference_list]
• Thermodynamic assessment of the Molybdenum–Rhenium system (2009) [crossref_reference_list]
• Ab initio and thermodynamic study of the Cr–Re system (2010) [crossref_reference_list]
• An improved thermodynamic modeling of the Fe–Cr system down to zero kelvin coupled with key experiments (2011) [crossref_reference_list]
• Thermodynamic modeling of the Fe–Ti–V system (2012) [crossref_reference_list]
• First-principles aided thermodynamic modeling of the Nb–Re system (2013) [crossref_reference_list]
• CALPHAD description of the Mo–Re system focused on the sigma phase modeling (2013) [crossref_reference_list]
• Experimental investigation and thermodynamic calculation of the phase equilibria in the Fe–Ni–V system (2014) [crossref_reference_list]
• Thermodynamic analysis of the W–Co–Cr system supported by ab initio calculations and verified with quaternary data (2015) [crossref_reference_list]
• Thermodynamic re-assessment of the Co–Cr system supported by first-principles calculations (2016) [crossref_reference_list]
• Thermodynamic modeling of Al–Co–Cr, Al–Co–Ni, Co–Cr–Ni ternary systems towards a description for Al–Co–Cr–Ni (2016) [crossref_reference_list]
• Liquidus projection and thermodynamic modeling of the Cr-Fe-Nb ternary system (2016) [crossref_reference_list]
• Thermodynamic modeling of Ti-Fe-Cr ternary system (2017) [crossref_reference_list]
• Revised thermodynamic description of the Fe-Cr system based on an improved sublattice model of the σ phase (2018) [crossref_reference_list]
• Thermodynamic re-assessment of the Re–X (X=Al, Co, Cr, Ta) binary systems (2018) [crossref_reference_list]
• Experimental investigation and thermodynamic modeling of the Ni–Ti–V system (2019) [crossref_reference_list]
• A thermodynamic description of the Co-Cr-Fe-Ni-V system for high-entropy alloy design (2019) [crossref_reference_list]
• Phase equilibria and thermodynamic assessment of the Mo–Nb-Re ternary system (2020) [crossref_reference_list]
• Thermodynamic assessment of the Ni–Co–Cr system and Diffusion Study of its fcc phase (2020) [crossref_reference_list]
• Predictive computations of intermetallic σ phase evolution in duplex steel. I) Thermodynamic modeling of σ phase in the Fe–Cr–Mn–Mo–Ni system (2020) [crossref_reference_list]
• Thermodynamic assessment of the Fe–V–O system (2020) [crossref_reference_list]
• Thermodynamic re-optimizations of the Ru–X (X=Al, Hf, Mo, Ti) binary systems (2021) [crossref_reference_list]
• Thermodynamic assessment of the Co–Cr–Ni, Co–Cr–W and Co–Ni–W (2021) [crossref_reference_list]
• Experimental investigation and thermodynamic assessment of phase equilibria in the Cr-Re-Ru ternary system (2021) [crossref_reference_list]
• New approach to the compound energy formalism (NACEF) Part II. Thermodynamic modelling of the Al–Nb system supported by first-principles calculations (2023) [crossref_reference_list]
• Thermodynamic assessment of the Co–Cr–Fe system and atomic mobility study of its fcc phase (2023) [crossref_reference_list]
• Experimental investigation and thermodynamic description of the Co–Mo–Ta system (2024) [crossref_reference_list]
• Thermodynamic assessment of the Co-Cr-Fe-Ni quaternary system and diffusion study of its fcc phase (2024) [crossref_reference_list]
• Study on the γ + γ′ microstructure characterization of the Co–V–Zr system based on CALPHAD method (2024) [crossref_reference_list]
• Thermodynamic modelling of the Al–Ni–V system (2025) [crossref_reference_list]
• Applying the Effective Bond Energy Formalism (EBEF) to describe the mu (μ) and sigma (σ) phases in the Co-Cr-Ni-W system (2025) [crossref_reference_list]
• Experimental study and thermodynamic modelling of the ternary Al–Ta–Ti system (2011) [crossref_reference_list]
• Experimental determination of the Ni–Cr–Ru phase diagram and thermodynamic reassessments of the Cr–Ru and Ni–Cr–Ru systems (2015) [crossref_reference_list]
• Thermodynamic analysis of the topologically close packed σ phase in the Co Cr system (2019) [crossref_reference_list]
• Intermetallic compounds of the Cr–Mn system investigated using in situ powder neutron diffraction: The reported order-disorder transformation of the σ phase elucidated (2022) [crossref_reference_list]
• Thermodynamic modeling of the Fe–Mo system coupled with experiments and ab initio calculations (2014) [crossref_reference_list]
• The U-Nb-Al ternary system: experimental and simulated investigations of the phase equilibria and study of the crystal structure and electronic properties of the intermediate phases (2017) [crossref_reference_list]
• Thermodynamic modelling of a six component (C-Co-Cr-Ni-Ta-W) system for the simulation of Cobalt based alloys (2018) [crossref_reference_list]
• Thermodynamic modelling of the σ and μ phases in several ternary systems containing Co, Cr, Fe, Mo, Re and W (2020) [crossref_reference_list]
• Phase equilibria of the Co-Cr-Mn ternary system at 700 ℃ (2023) [crossref_reference_list]
• Additively manufactured Ni-20Cr to V functionally graded material: Computational predictions and experimental verification of phase formations (2024) [crossref_reference_list]
• Experimental study, first-principles calculation and thermodynamic modelling of the Cr–Fe–Nb–Sn–Zr quinary system for application as cladding materials in nuclear reactors. (2021) [crossref_reference_list]
• Thermodynamics of the metallic fission products: An assessment of the Mo-Pd-Rh-Ru-Tc system (2025) [crossref_reference_list]
• Thermodynamic assessment of Co-Cr-W ternary system (2011) [crossref_reference_list]
• … 6 more in the JSON record

References (Crossref, publisher-deposited) (37)

• A thermodynamic description of the Fe-Cr-Si system with emphasis on the equilibria of the sigma (Σ) phase (1997) [crossref_reference_list]
• Thermodynamic modeling of the Al-Ta system (1996) [crossref_reference_list]
• A Thermodynamic Evaluation of the Cr-Mn and Fe-Cr-Mn Systems (1993) [crossref_reference_list]
• The Cr−Re phase diagram (1999) [crossref_reference_list]
• The Fe−Mo (Iron−Molybdenum) system (1982) [crossref_reference_list]
• Evaluation of the thermodynamic properties and phase equilibria of the Re-Ta-W system (2002) [crossref_reference_list]
• The niobium-rhenium system (1959) [crossref_reference_list]
• A thermodynamic evaluation of the iron — vanadium system (1983) [crossref_reference_list]
• Thermodynamic properties of the CrFe system (1987) [crossref_reference_list]
• A thermodynamic evaluation of the Cr-Ni-W system (1988) [crossref_reference_list]
• A thermodynamic evaluation of the FeMoC system (1988) [crossref_reference_list]
• A thermodynamic reassessment of the FE-V system (1991) [crossref_reference_list]
• A Thermodynamic Analysis of the Mn-V And Fe-Mn-V Systems (1991) [crossref_reference_list]
• Al69Ta39 - a new variant of a face-centred cubic giant cell structure (1994) [crossref_reference_list]
• Assessment of the niobium–nickel system (2004) [crossref_reference_list]
• Ab initio lattice stabilities of some elemental complex structures (2006) [crossref_reference_list]
• First-principles calculations of energetics of sigma phase formation and thermodynamic modelling in Fe–Ni–Cr system (2004) [crossref_reference_list]
• Thermodynamic assessment of the Co–V and Co–V–C system (2004) [crossref_reference_list]
• Structural characterization of the Ta-rich part of the Ta–Al system (2006) [crossref_reference_list]
• A thermodynamic evaluation of the Co-Cr and the C-Co-Cr systems (1997) [crossref_reference_list]
• Thermodynamic reassessment of Fe-Cr-Ni system with emphasis on the iron-rich corner (1999) [crossref_reference_list]
• A thermodynamic description of the Ni–Al–Cr–Re system (1999) [crossref_reference_list]
• Thermodynamic evaluation of the Mo–Ru system (2000) [crossref_reference_list]
• Some experiences modelling the sigma phase in the Ni–V system (2001) [crossref_reference_list]
• Thermodynamic analysis of the Cr–Re system and prediction of the Cr–Ni–Re system (1998) [crossref_reference_list]
• Assessment of the Re–Ta binary system (1999) [crossref_reference_list]
• Evaluation of the thermodynamic properties of the Re–Ta and Re–W systems (2000) [crossref_reference_list]
• Direct evidence of magnetically induced phase separation in the fcc phase and thermodynamic calculations of phase equilibria of the Co–Cr system (2002) [crossref_reference_list]
• A thermodynamic database for Ni‐base superalloys (2001) [crossref_reference_list]
• Thermodynamic assessment of the Al-Nb system (1997) [crossref_reference_list]
• Site occupancy in the Re-W sigma phase (2001) [crossref_reference_list]
• Using Re-W σ-phase first-principles results in the Bragg-Williams approximation to calculate finite-temperature thermodynamic properties (2002) [crossref_reference_list]
• Atom distributions in sigma phases. I. Fe and Cr atom distributions in a binary sigma phase equilibrated at 1063, 1013 and 923 K (1983) [crossref_reference_list]
• Revised thermodynamic description for the Co-Mo system (2003) [crossref_reference_list]
• A thermodynamic assessment of the Co-V system (2003) [crossref_reference_list]
• Thermodynamic assessment of the Co-Mo system (1999) [crossref_reference_list]
• The sigma-Phase Ta2Al. (1960) [crossref_reference_list]

Cited for values by (1)

• First-principles aided thermodynamic modeling of the Nb–Re system (2013) — 2 values [orchid_extraction]

Used in (assessments / papers that took values from it) (1)

• First-principles aided thermodynamic modeling of the Nb–Re system (2013) — 2 values [orchid_extraction]