journal article·2017-06Open access

Thermodynamic and kinetic modeling of grain boundary equilibrium segregation of P in α-Fe

Y. Yang, S.-L. Chen

Calphad· Volume 57

Abstract

Abstract Phosphorus is a primary contributor to interface fracture and embrittlement in steels because of its strong segregation tendency at grain boundaries (GBs). The lack of consistency in literature data imposes great difficulties in performing segregation modeling that is compatible with both the Langmuir-Mclean segregation theory and the thermodynamic description of the Bcc(Fe,P) phase. This work carefully evaluated experimental data for phosphorus segregation at GBs in α-Fe and provided a new formula for converting the auger electron spectroscopy (AES) peak height ratio to GBs. Based on newly assessed literature data, this work proposes that the major driving force for phosphorus segregation is the formation of Fe3P-type clusters at GBs, which is supported not only by the almost equivalent Gibbs energy of α_Fe using the Bcc(Fe,P) substitutional model and the Bcc(Fe,Fe3P, P) associate model, but also by the good agreement between thermodynamic/kinetic modeling results and experimental data.
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Research context

OpenAlex topics: Microstructure and Mechanical Properties of Steels · Microstructure and mechanical properties · High Temperature Alloys and Creep

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References (39)

Show source-provided references
1. Solute segregation in iron‐based alloys10.1116/1.569592 ↗
2. Surface segregation in austenitic stainless steel10.1007/BF02642387 ↗
3. Equilibrium segregation of phosphorus at grain boundaries of Fe–P, Fe–C–P, Fe–Cr–P, and Fe–Cr–C–P alloys10.1179/030634581790426877 ↗
4. The thermodynamics of interactive co-segregation of phosphorus and alloying elements in iron and temper-brittle steels10.1007/BF02647825 ↗
5. Grain boundary segregation of phosphorus and carbon in ferritic iron10.1016/0036-9748(86)90411-4 ↗
6. The influence of phosphorus in dilute solid solution on the absolute surface and grain boundary energies of iron10.1098/rspa.1965.0158 ↗
7. Phosphorus segregation related to the grain boundary structure in an Fe- P alloy10.1016/0036-9748(81)90175-7 ↗
8. Effect of carbon on the grain boundary segregation of phosphorus in α-iron10.1016/0036-9748(83)90225-9 ↗
9. Temper embrittlement in a Ni-Cr steel containing phosphorus as impurity10.1007/BF02662740 ↗
10. Effect of irradiation on phosphorus segregation10.1016/0022-3115(83)90027-2 ↗
11. S.G. Druce, et al., The modelling of irradiation-enhanced phosphorus segregation in neutron irradiated reactor pressure vessel submerged-arc welds. in: Effects of Radiation on Materials: Proceedings of the 17th International Symposium, ASTM International, 1996.10.1520/STP16471S ↗
12. Grain boundary segregation under neutron irradiation in dilute alloys10.1016/S0022-3115(98)00022-1 ↗
13. Intergranular and intragranular phosphorus segregation in Russian pressure vessel steels due to neutron irradiation10.1016/S0022-3115(00)00007-6 ↗
14. Effects of neutron-irradiation-induced intergranular phosphorus segregation and hardening on embrittlement in reactor pressure vessel steels10.1016/j.actamat.2008.05.026 ↗
15. Grain boundary phosphorus and molybdenum segregation under irradiation and thermal conditions in a 2.25Cr1Mo steel10.1016/S0921-5093(00)00809-1 ↗
16. Effects of phosphorus on defect behavior, solute segregation and void swelling in electron irradiated Fe-Cr-Ni alloys10.1016/0022-3115(88)90422-9 ↗
17. A model describing neutron irradiation-induced segregation to grain boundaries in dilute alloys10.1007/BF02595431 ↗
18. Roles of vacancy/interstitial diffusion and segregation in the microchemistry at grain boundaries of irradiated Fe-Cr-Ni alloys10.1016/j.jnucmat.2016.02.007 ↗
19. Grain-boundary segregation of phosphorus in an iron-phosphorus alloy and the effect upon mechanical properties10.1016/0001-6160(58)90116-0 ↗
20. Equilibrium grain boundary segregation of P in Fe–P binary alloys10.2320/matertrans1960.20.44 ↗
21. Study of chemical states at intergranular fracture planes of iron-phosphorus alloys by auger and electron energy-loss spectroscopies10.1016/0368-2048(84)80059-6 ↗
22. An investigation of grain-boundary embrittlement in Fe–P, Fe–P–S, and Fe–Sb–S alloys10.1007/BF02666204 ↗
23. Chemical state of phosphorus segregated at grain boundaries of iron10.2355/tetsutohagane1955.69.6_625 ↗
24. Electron spectroscopic study of phosphorus segregated to α-iron surfaces10.1016/0039-6028(82)90034-6 ↗
25. Atomistic studies of grain boundary segregation in Fe-P and Fe-B alloys—I. Atomic structure and stress distribution10.1016/0001-6160(84)90195-0 ↗
26. Transformation of the grain boundary structure in iron by phosphorus segregation10.1016/0036-9748(82)90348-9 ↗
27. Theoretical studies of segregated internal interfaces
28. The segregation behavior of sulfur, oxygen and phosphorus at the (100) surface of iron single crystal10.2320/matertrans1960.21.425 ↗
29. Davis · 1976 · 27 · 61
30. Characterization of grain boundary segregation in an Fe-Si alloy10.1016/0003-2670(93)E0388-N ↗
31. E. Hondros, et al., Physical Metallurgy, vol. 2, North Holland, Amsterdam, 1996.
32. D. McLean, Grain Boundaries in Metals, 1957.
33. Lejcek · 2010 · 136
34. A model for surface segregation in multicomponent alloys—part I: equilibrium segregation10.1016/0022-3697(88)90118-7 ↗
35. Thermodynamic description of ternary Fe-XP systems. Part 1: Fe-Cr-P10.1007/s11669-014-0314-x ↗
36. Modelling equilibrium grain boundary segregation, grain boundary energy and grain boundary segregation transition by the extended Butler equation10.1007/s10853-015-9533-8 ↗
37. A model of the kinetics and equilibria of surface segregation in the monolayer regime10.1016/0039-6028(78)90143-7 ↗
38. A. Le Claire, G. Neumann, Diffusion of impurities in solid metallic elements, Chap. 3, in: H. Mehrer (Vol. Ed.), Diffusion in Solid Metals and Alloys, Landolt-Börnstein, Numerical Data and Functional Relationships in Science and Technology, New Series Vol. III/26, Springer-Verlag, 1990.
39. Diffusion of phosphorus in α–Fe: an ab initio study10.1103/PhysRevB.71.214109 ↗