Skip to main content
Erschienen in: Journal of Materials Science 4/2018

12.10.2017 | Metals

A whole pattern iterative refinement method for powder X-ray diffraction spectra of two-phase coherent alloys

verfasst von: P. A. Ferreirós, G. H. Rubiolo

Erschienen in: Journal of Materials Science | Ausgabe 4/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

An iterative refining method using FullProf software (Rietveld refinement) as a multi-input–output black-box with cyclic feedback is proposed in order to accurately measure the lattice misfit in two-phase coherent alloys. The method uses two X-ray diffraction spectra taken on the same powder sample. In addition, it requires the volumetric fraction of the phases and the size of the crystallite in the precipitated phase as derived from the measurements made by the transmission electron microscopy–energy dispersive spectroscopy technique. The measurement of the lattice misfit in a Fe2AlV-strengthened ferritic Fe76Al12V12 alloy is shown as an application of the method.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Reed RC (2006) The superalloys fundamentals and applications. Cambridge University Press, CambridgeCrossRef Reed RC (2006) The superalloys fundamentals and applications. Cambridge University Press, CambridgeCrossRef
2.
Zurück zum Zitat Mughrabi H (2009) Microstructural aspects of high temperature deformation of monocrystalline nickel base superalloys: some open problems. Mater Sci Technol 25:191–204CrossRef Mughrabi H (2009) Microstructural aspects of high temperature deformation of monocrystalline nickel base superalloys: some open problems. Mater Sci Technol 25:191–204CrossRef
3.
Zurück zum Zitat Hao SM, Takayama T, Ishida K, Nishizawa T (1984) Miscibility gap in Fe–Ni–Al and Fe–Ni–Al–Co systems. Metall Trans A 15:1819–1828CrossRef Hao SM, Takayama T, Ishida K, Nishizawa T (1984) Miscibility gap in Fe–Ni–Al and Fe–Ni–Al–Co systems. Metall Trans A 15:1819–1828CrossRef
4.
Zurück zum Zitat Mendiratta MG, Ehlers SK, Lipsitt HA (1987) DO3-B2-alpha phase relations in Fe–Al–Ti alloys. Metall Trans A 18:509–518CrossRef Mendiratta MG, Ehlers SK, Lipsitt HA (1987) DO3-B2-alpha phase relations in Fe–Al–Ti alloys. Metall Trans A 18:509–518CrossRef
5.
Zurück zum Zitat Maebashi T, Kozakai T, Doi M (2004) Phase equilibria in iron-rich Fe–Al–V ternary alloy system. Z Met 95:1005–1010CrossRef Maebashi T, Kozakai T, Doi M (2004) Phase equilibria in iron-rich Fe–Al–V ternary alloy system. Z Met 95:1005–1010CrossRef
6.
Zurück zum Zitat Bhadeshia HKDH (2001) Design of ferritic creep-resistant steels. ISIJ Int 41:626–640CrossRef Bhadeshia HKDH (2001) Design of ferritic creep-resistant steels. ISIJ Int 41:626–640CrossRef
7.
Zurück zum Zitat Stallybrass C, Sauthoff G (2004) Ferritic Fe–Al–Ni–Cr alloys with coherent precipitates for high-temperature applications. Mater Sci Eng A 387–389:985–990CrossRef Stallybrass C, Sauthoff G (2004) Ferritic Fe–Al–Ni–Cr alloys with coherent precipitates for high-temperature applications. Mater Sci Eng A 387–389:985–990CrossRef
8.
Zurück zum Zitat Vo NQ, Liebscher CH, Rawlings MJS, Asta M, Dunand DC (2014) Creep properties and microstructure of a precipitation-strengthened ferritic Fe–Al–Ni–Cr alloy. Acta Mater 71:89–99CrossRef Vo NQ, Liebscher CH, Rawlings MJS, Asta M, Dunand DC (2014) Creep properties and microstructure of a precipitation-strengthened ferritic Fe–Al–Ni–Cr alloy. Acta Mater 71:89–99CrossRef
9.
Zurück zum Zitat Krein R, Palm M, Heilmaier M (2009) Characterization of microstructures, mechanical properties, and oxidation behavior of coherent A2 + L21 Fe–Al–Ti. J Mater Res 24:3412–3421CrossRef Krein R, Palm M, Heilmaier M (2009) Characterization of microstructures, mechanical properties, and oxidation behavior of coherent A2 + L21 Fe–Al–Ti. J Mater Res 24:3412–3421CrossRef
10.
Zurück zum Zitat Ferreirós PA, Alonso PR, Gargano PH, Bozzano PB, Troiani HE, Baruj A, Rubiolo GH (2014) Characterization of microstructures and age hardening of Fe1−2x AlxVx alloys. Intermetallics 50:65–78CrossRef Ferreirós PA, Alonso PR, Gargano PH, Bozzano PB, Troiani HE, Baruj A, Rubiolo GH (2014) Characterization of microstructures and age hardening of Fe1−2x AlxVx alloys. Intermetallics 50:65–78CrossRef
11.
Zurück zum Zitat Senčekova L, Palm M, Pešička J, Veselý J (2016) Microstructures, mechanical properties and oxidation behaviour of single-phase Fe3Al(D03) and two-phase α-Fe, Al(A2) + Fe3Al(D03) Fe–Al–V alloys. Intermetallics 73:58–66CrossRef Senčekova L, Palm M, Pešička J, Veselý J (2016) Microstructures, mechanical properties and oxidation behaviour of single-phase Fe3Al(D03) and two-phase α-Fe, Al(A2) + Fe3Al(D03) Fe–Al–V alloys. Intermetallics 73:58–66CrossRef
12.
Zurück zum Zitat Calderon HA, Fine ME, Weertman JR (1988) Coarsening and morphology of β′ particles in Fe–Ni–Al–Mo ferritic alloys. Metall Trans A 19:1135–1146CrossRef Calderon HA, Fine ME, Weertman JR (1988) Coarsening and morphology of β′ particles in Fe–Ni–Al–Mo ferritic alloys. Metall Trans A 19:1135–1146CrossRef
13.
Zurück zum Zitat Svoboda J, Lukáš P (1998) Model of creep in <001> -oriented superalloy single crystals. Acta Mater 46:3421–3431CrossRef Svoboda J, Lukáš P (1998) Model of creep in <001> -oriented superalloy single crystals. Acta Mater 46:3421–3431CrossRef
14.
Zurück zum Zitat Onaka S, Kobayashi N, Fujii T, Kato M (2003) Energy analysis with a superspherical shape approximation on the spherical to cubical shape transitions of coherent precipitates in cubic materials. Mater Sci Eng A 347:42–49CrossRef Onaka S, Kobayashi N, Fujii T, Kato M (2003) Energy analysis with a superspherical shape approximation on the spherical to cubical shape transitions of coherent precipitates in cubic materials. Mater Sci Eng A 347:42–49CrossRef
15.
Zurück zum Zitat Maebashi T, Doi M (2004) Coarsening behaviours of coherent γ′ and γ precipitates in elastically constrained Ni–Al–Ti alloys. Mater Sci Eng A 373:72–79CrossRef Maebashi T, Doi M (2004) Coarsening behaviours of coherent γ′ and γ precipitates in elastically constrained Ni–Al–Ti alloys. Mater Sci Eng A 373:72–79CrossRef
16.
Zurück zum Zitat Heckl A, Neumeier S, Göken M, Singer RF (2011) The effect of Re and Ru on γ/γ′ microstructure, γ-solid solution strengthening and creep strength in nickel-base superalloys. Mater Sci Eng A 528:3435–3444CrossRef Heckl A, Neumeier S, Göken M, Singer RF (2011) The effect of Re and Ru on γ/γ′ microstructure, γ-solid solution strengthening and creep strength in nickel-base superalloys. Mater Sci Eng A 528:3435–3444CrossRef
17.
Zurück zum Zitat Mughrabi H (2014) The importance of sign and magnitude of γ/γ′ lattice misfit in superalloys-with special reference to the new γ′-hardened cobalt-base superalloys. Acta Mater 81:21–29CrossRef Mughrabi H (2014) The importance of sign and magnitude of γ/γ′ lattice misfit in superalloys-with special reference to the new γ′-hardened cobalt-base superalloys. Acta Mater 81:21–29CrossRef
18.
Zurück zum Zitat Long H, Wei H, Liu Y, Mao S, Zhang J, Xiang S, Chen Y, Gui W, Li Q, Zhang Z, Han X (2016) Effect of lattice misfit on the evolution of the dislocation structure in Ni-based single crystal superalloys during thermal exposure. Acta Mater 120:95–107CrossRef Long H, Wei H, Liu Y, Mao S, Zhang J, Xiang S, Chen Y, Gui W, Li Q, Zhang Z, Han X (2016) Effect of lattice misfit on the evolution of the dislocation structure in Ni-based single crystal superalloys during thermal exposure. Acta Mater 120:95–107CrossRef
19.
Zurück zum Zitat Pyczak F, Neumeier S, Göken M (2009) Influence of lattice misfit on the internal stress and strain states before and after creep investigated in nickel-base superalloys containing rhenium and ruthenium. Mater Sci Eng A 510–511:295–300CrossRef Pyczak F, Neumeier S, Göken M (2009) Influence of lattice misfit on the internal stress and strain states before and after creep investigated in nickel-base superalloys containing rhenium and ruthenium. Mater Sci Eng A 510–511:295–300CrossRef
20.
Zurück zum Zitat Collins DM, Yan L, Marquis EA, Connor LD, Ciardiello JJ, Evans AD, Stone HJ (2013) Lattice misfit during ageing of a polycrystalline nickel-base superalloy. Acta Mater 61:7791–7804CrossRef Collins DM, Yan L, Marquis EA, Connor LD, Ciardiello JJ, Evans AD, Stone HJ (2013) Lattice misfit during ageing of a polycrystalline nickel-base superalloy. Acta Mater 61:7791–7804CrossRef
21.
Zurück zum Zitat Collins DM, D’Souza N, Panwisawas C (2017) In-situ neutron diffraction during stress relaxation of a single crystal nickel-base superalloy. Scr Mater 131:103–107CrossRef Collins DM, D’Souza N, Panwisawas C (2017) In-situ neutron diffraction during stress relaxation of a single crystal nickel-base superalloy. Scr Mater 131:103–107CrossRef
22.
Zurück zum Zitat Brunetti G, Settefrati A, Hazotte A, Denis S, Fundenberger J-J, Tidu A, Bouzy E (2012) Determination of γ-γ′ lattice misfit in a single-crystal nickel-based superalloy using convergent beam electron diffraction aided by finite element calculations. Micron 43:396–406CrossRef Brunetti G, Settefrati A, Hazotte A, Denis S, Fundenberger J-J, Tidu A, Bouzy E (2012) Determination of γ-γ′ lattice misfit in a single-crystal nickel-based superalloy using convergent beam electron diffraction aided by finite element calculations. Micron 43:396–406CrossRef
23.
Zurück zum Zitat Mukherji D, Gilles R, Barbier B, Del Genovese D, Hasse B, Strunz P, Wroblewski T, Fuess H, Rösler J (2003) Lattice misfit measurement in Inconel 706 containing coherent γ′ and γ″ precipitates. Scr Mater 48:333–339CrossRef Mukherji D, Gilles R, Barbier B, Del Genovese D, Hasse B, Strunz P, Wroblewski T, Fuess H, Rösler J (2003) Lattice misfit measurement in Inconel 706 containing coherent γ′ and γ″ precipitates. Scr Mater 48:333–339CrossRef
24.
Zurück zum Zitat Sugui T, Minggang W, Huichen Y, Xingfu Y, Tang L, Benjiang Q (2010) Influence of element Re on lattice misfits and stress rupture properties of single crystal nickel-based superalloys. Mater Sci Eng A 527:4458–4465CrossRef Sugui T, Minggang W, Huichen Y, Xingfu Y, Tang L, Benjiang Q (2010) Influence of element Re on lattice misfits and stress rupture properties of single crystal nickel-based superalloys. Mater Sci Eng A 527:4458–4465CrossRef
25.
Zurück zum Zitat Zenk CH, Neumeier S, Stone HJ, Göken M (2014) Mechanical properties and lattice misfit of γ/γ′ strengthened Co-base superalloys in the Co–W–Al–Ti quaternary system. Intermetallics 55:28–39CrossRef Zenk CH, Neumeier S, Stone HJ, Göken M (2014) Mechanical properties and lattice misfit of γ/γ′ strengthened Co-base superalloys in the Co–W–Al–Ti quaternary system. Intermetallics 55:28–39CrossRef
26.
Zurück zum Zitat Madsen C, Scarlett NVY (2008) Quantitative Phase Analysis. In: Dinnebier RE, Billinge SJL (eds) Powder diffraction theory and practice. The Royal Society of Chemistry, Cambridge, pp 298–329CrossRef Madsen C, Scarlett NVY (2008) Quantitative Phase Analysis. In: Dinnebier RE, Billinge SJL (eds) Powder diffraction theory and practice. The Royal Society of Chemistry, Cambridge, pp 298–329CrossRef
27.
Zurück zum Zitat Rietveld HM (1967) Line profiles of neutron powder-diffraction peaks for structure refinement. Acta Cryst A 22:151–152CrossRef Rietveld HM (1967) Line profiles of neutron powder-diffraction peaks for structure refinement. Acta Cryst A 22:151–152CrossRef
28.
Zurück zum Zitat Rietveld HM (1969) A profile refinement method for nuclear and magnetic structures. J Appl Cryst 2:65–71CrossRef Rietveld HM (1969) A profile refinement method for nuclear and magnetic structures. J Appl Cryst 2:65–71CrossRef
29.
Zurück zum Zitat Rodriguez-Carbajal J (1993) Recent advances in magnetic structure determination by neutron powder diffraction. Phys B 192:55–69CrossRef Rodriguez-Carbajal J (1993) Recent advances in magnetic structure determination by neutron powder diffraction. Phys B 192:55–69CrossRef
30.
Zurück zum Zitat Young RA, Sakthivel A, Moss TS, Co Paiva-Santos (1995) DBWS-9411—an upgrade of the DBWS*.* programs for Rietveld refinement with PC and mainframe computers. J Appl Cryst 28:366–367CrossRef Young RA, Sakthivel A, Moss TS, Co Paiva-Santos (1995) DBWS-9411—an upgrade of the DBWS*.* programs for Rietveld refinement with PC and mainframe computers. J Appl Cryst 28:366–367CrossRef
31.
Zurück zum Zitat Larson AC, Von Dreele RB (2004) General structure analysis system (GSAS), Los Alamos National Laboratory Report LAUR 86-748, University of California Larson AC, Von Dreele RB (2004) General structure analysis system (GSAS), Los Alamos National Laboratory Report LAUR 86-748, University of California
32.
Zurück zum Zitat Hammond C (2009) The basic of crystallography and diffraction, 3rd edn. Oxford University Press, IUCr Hammond C (2009) The basic of crystallography and diffraction, 3rd edn. Oxford University Press, IUCr
33.
Zurück zum Zitat Rodríguez-Carvajal J (2001) An introduction to the program FullProf 2000. Laboratoire Léon Brillouin, France Rodríguez-Carvajal J (2001) An introduction to the program FullProf 2000. Laboratoire Léon Brillouin, France
34.
Zurück zum Zitat Zhan W-P, Zhang H-R, Li Q, Zhu Y-H, Feng Z-J, Gao H-H, Shen W-F, Wu P, Ding G-T, Cao M (2015) Automated method for varying the order in which parameters are refined in powder diffraction. Comput Mater Sci 107:210–215CrossRef Zhan W-P, Zhang H-R, Li Q, Zhu Y-H, Feng Z-J, Gao H-H, Shen W-F, Wu P, Ding G-T, Cao M (2015) Automated method for varying the order in which parameters are refined in powder diffraction. Comput Mater Sci 107:210–215CrossRef
35.
Zurück zum Zitat Ferreirós PA, Alonso PR, Rubiolo GH (2017) Coarsening process and precipitation hardening in Fe2AlV-strengthened ferritic Fe76Al12V12 alloy. Mater Sci Eng, A 684:394–405CrossRef Ferreirós PA, Alonso PR, Rubiolo GH (2017) Coarsening process and precipitation hardening in Fe2AlV-strengthened ferritic Fe76Al12V12 alloy. Mater Sci Eng, A 684:394–405CrossRef
36.
Zurück zum Zitat Thompson P, Cox DE (1987) Hastings JB Rietveld refinement of Debye–Scherrer synchrotron X-ray data from Al2O3. J Appl Cryst 20:79–83CrossRef Thompson P, Cox DE (1987) Hastings JB Rietveld refinement of Debye–Scherrer synchrotron X-ray data from Al2O3. J Appl Cryst 20:79–83CrossRef
37.
Zurück zum Zitat Finger LW (1998) PROFVAL: functions to calculate powder-pattern peak profiles with axial divergence asymmetry. J Appl Cryst 31:111CrossRef Finger LW (1998) PROFVAL: functions to calculate powder-pattern peak profiles with axial divergence asymmetry. J Appl Cryst 31:111CrossRef
38.
Zurück zum Zitat Palm M, Inden G, Thomas N (1995) The Fe–AI–Ti System. J Phase Equilib 16:209–222CrossRef Palm M, Inden G, Thomas N (1995) The Fe–AI–Ti System. J Phase Equilib 16:209–222CrossRef
39.
Zurück zum Zitat Vasundhara M, Srinivas V, Rao VV (2008) Evidence for cluster glass behavior in Fe2VAl Heusler alloys. Phys Rev B 78(064401):1–10 Vasundhara M, Srinivas V, Rao VV (2008) Evidence for cluster glass behavior in Fe2VAl Heusler alloys. Phys Rev B 78(064401):1–10
40.
Zurück zum Zitat Reed RC, Rae CMF (2014) Physical metallurgy of the nickel-based superalloys. In: Laughlin DE, Hono K (eds) Physical metallurgy, vol 3, 5th edn. Elsevier, Amsterdam, pp 2215–2290CrossRef Reed RC, Rae CMF (2014) Physical metallurgy of the nickel-based superalloys. In: Laughlin DE, Hono K (eds) Physical metallurgy, vol 3, 5th edn. Elsevier, Amsterdam, pp 2215–2290CrossRef
Metadaten
Titel
A whole pattern iterative refinement method for powder X-ray diffraction spectra of two-phase coherent alloys
verfasst von
P. A. Ferreirós
G. H. Rubiolo
Publikationsdatum
12.10.2017
Verlag
Springer US
Erschienen in
Journal of Materials Science / Ausgabe 4/2018
Print ISSN: 0022-2461
Elektronische ISSN: 1573-4803
DOI
https://doi.org/10.1007/s10853-017-1682-5

Weitere Artikel der Ausgabe 4/2018

Journal of Materials Science 4/2018 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.