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Phosphorus grain boundary diffusion and segregation in Fe–2.2 wt.% Si alloy

  • Ivo Stloukal and Christian Herzig EMAIL logo
Published/Copyright: December 27, 2021
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 93 Issue 2

Abstract

The grain boundary diffusion of 32P in a polycrystalline Fe – 2.2 wt.% Si alloy was measured with the radiotracer technique under the condition of the Harrison type-B regime (845 – 1173 K) and type-C regime (735 –830 K). The triple product P = sδDgb (s denotes the segregation factor, δ the grain boundary width and Dgb the grain boundary diffusion coefficient) was obtained in the B regime. The pre-exponential factor P0=(1.8−1.1+3.2) × 10-10 m3s-1 and the activation enthalpy Qgb = 171:3 ± 8:3 kJ mol-1 were evaluated. The initial part of the penetration profiles measured in the B regime was used to calculate the volume diffusion coefficients Dv. The resulting Arrhenius parameters of volume diffusion were D0=10−10+2600 m2s-1 and Qv = 320 ± 45 kJmol-1. The grain boundary diffusion coefficient Dgb was directly measured in experiments in the C regime. The temperature dependence is characterised by the Arrhenius parameters Dgb0= (7.9−6.2+28.2) × 10-3 m2s-1 and Hgb = 201.5± 9:9 kJ mol-1. Combining both series of measurements, the segregation coefficient s was determined, resulting in the segregation enthalpy H s = -30 ± 10 kJ mol-1 and the pre-exponential factor s0=47−35+159 . The obtained results were compared with segregation data of P measured by Auger electron spectroscopy in a-Fe.

Abstract

Die Korngrenzendiffusion von 32P wurde mit der Radiotracermethode in einer polykristallinen Fe – 2,2 Gew.% Si-Legierung untersucht unter Bedingungen von Typ B (845 – 1173 K) und Typ C (735 – 830 K) der Diffusionskinetik nach Harrison. Im Typ B-Bereich wird das Dreierprodukt P = sδDgb gemessen (s bezeichnet den Segregationsfaktor, δ die Korngrenzenbreite und Dgb den Korngrenzendiffusionskoeffizienten). Der Vorfaktor P0=(1.81.1+3.2) × 10−10 m3 s−1 unddie Aktivierungsenthalpie Qgb=171.3± 8:3 kJ mol-1 wurden ermittelt. Der Anfangsbereich der in der Typ B-Kinetik gemessenen Diffusionsprofile wurde zur Ermittlung des Volumendiffusionskoeffizienten Dv benutzt. Für dieVolumendiffusion ergaben sich dieArrheniusparameter D0=10−10+2568 m2s-1 und Qv = 320 ± 45 kJ mol-1. Der Korngrenzendiffusionskoeffizientwurde unter Typ C-Bedingungen direkt gemessen. Die Temperaturabhängigkeit von Dgb wird beschrieben durch die Arrheniusparameter Dgb0=(7.9−6.2+28.2)×10−3 m2 s−1 und H gb = 201:5 ± 9:9 kJ mol-1. Durch Kombination beider Messreihen wurden der Segregationsfaktor s und die Segregationsenthalpie Hs = -30 ± 10 kJ mol-1 sowie der zugehörige Vorfaktor s0=47−35+159 ermittelt. Die erhaltenen Resultate wurden mit Literaturdaten der Segregation von Phosphor, die mit der Auger-Elektronenspektroskopie in α-Fe gemessen waren, verglichen.

Keywords: Phosphorus diffusion; α-Fe(Si) alloy; Grain boundary diffusion; Phosphorus segregation; Radiotracer diffusion
Prof. Dr. Chr. Herzig Institut für Materialphysik Wilhelm-Klemm-Str. 10, D-48419 Münster, Germany Tel.: +49 251 833 3573 Fax: +49 251 833 8346

  1. The authors thank Dr. S. Divinski for many fruitful discussions, and the Institute of the Physics of the Materials, Academy of Sciences, Brno, Czech Republic, for preparing the alloy materials. One of the authors (I. S.) is grateful to the Alexander von Humboldt Foundation (AVH), Bonn, Germany, for granting a research fellowship.

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Received: 2001-11-12
Published Online: 2021-12-27

© 2002 Carl Hanser Verlag, München

Articles in the same Issue

  1. Frontmatter
  2. Articles/Aufsätze
  3. Phosphorus grain boundary diffusion and segregation in Fe–2.2 wt.% Si alloy
  4. Intermetallic compounds formed during the soldering reactions of eutectic Sn–9Zn with Cu and Ni substrates
  5. Thermal fatigue resistance in Pb-based solder alloys for electronic packaging
  6. Rolling and recrystallization textures in Al –Mg alloys
  7. Structures similar to a quasicrystal in technical aluminum alloys
  8. Processing map for hot working of hot rolled Mg– 11.5Li –1.5Al alloy
  9. Applications of computational thermodynamics
  10. Phase diagram of the Fe –Co –R system with R ⩽33.3 at.% Sm0.5Nd0.5
  11. Microstresses caused by uniaxial deformation and by mechanical surface treatments
  12. The influence of basic vs. rutile electrode on the composition of duplex stainless steel weldments
  13. Mixed mode I/III fracture toughness of Armco iron at 77 K
  14. Suitability assessment of replacement of conventional hot-working steels with maraging steel
  15. Suitability assessment of replacement of conventional hot-working steels with maraging steel
  16. Notifications/Mitteilungen
  17. Personal/Personelles
  18. Conferences/Tagungen
https://doi.org/10.3139/ijmr-2002-0020
Keywords for this article
Phosphorus diffusion; α-Fe(Si) alloy; Grain boundary diffusion; Phosphorus segregation; Radiotracer diffusion

Articles in the same Issue

  1. Frontmatter
  2. Articles/Aufsätze
  3. Phosphorus grain boundary diffusion and segregation in Fe–2.2 wt.% Si alloy
  4. Intermetallic compounds formed during the soldering reactions of eutectic Sn–9Zn with Cu and Ni substrates
  5. Thermal fatigue resistance in Pb-based solder alloys for electronic packaging
  6. Rolling and recrystallization textures in Al –Mg alloys
  7. Structures similar to a quasicrystal in technical aluminum alloys
  8. Processing map for hot working of hot rolled Mg– 11.5Li –1.5Al alloy
  9. Applications of computational thermodynamics
  10. Phase diagram of the Fe –Co –R system with R ⩽33.3 at.% Sm0.5Nd0.5
  11. Microstresses caused by uniaxial deformation and by mechanical surface treatments
  12. The influence of basic vs. rutile electrode on the composition of duplex stainless steel weldments
  13. Mixed mode I/III fracture toughness of Armco iron at 77 K
  14. Suitability assessment of replacement of conventional hot-working steels with maraging steel
  15. Suitability assessment of replacement of conventional hot-working steels with maraging steel
  16. Notifications/Mitteilungen
  17. Personal/Personelles
  18. Conferences/Tagungen
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