DOI: 10.1038/nmat1845. The mechanism of morphogenesis in a phase-separating concentrated multicomponent alloy

The mechanism of morphogenesis in a phase-separating concentrated multicomponent alloy

10.1038/nmat1845

Crossref journal-article

Springer Science and Business Media LLC

Nature Materials (297)

Bibliography

Mao, Z., Sudbrack, C. K., Yoon, K. E., Martin, G., & Seidman, D. N. (2007). The mechanism of morphogenesis in a phase-separating concentrated multicomponent alloy. Nature Materials, 6(3), 210â216.

Authors 5

Zugang Mao (first)
Chantal K. Sudbrack (additional)
Kevin E. Yoon (additional)
Georges Martin (additional)
David N. Seidman (additional)

References 40 Referenced 154

Blavette, D. et al. The tomographic atom-probe—a quantitative 3-dimensional nanoanalytical instrument on an atomic-scale. Rev. Sci. Instrum. 64, 2911–2919 (1993). (10.1063/1.1144382) / Rev. Sci. Instrum. by D Blavette (1993)
Cerezo, A., Godfrey, T. J., Sijbrandij, S. J., Smith, G. D. W. & Warren, P. J. Performance of an energy-compensated three-dimensional atom probe. Rev. Sci. Instrum. 69, 49–58 (1998). (10.1063/1.1148477) / Rev. Sci. Instrum. by A Cerezo (1998)
Kelly, T. F. et al. First data from a commercial local electrode atom probe (LEAP). Microsc. Microanal. 10, 373–383 (2004). (10.1017/S1431927604040565) / Microsc. Microanal. by TF Kelly (2004)
Soisson, F., Barbu, A. & Martin, G. Monte Carlo simulations of copper precipitation in dilute iron-copper alloys during thermal ageing and under electron irradiation. Acta Mater. 44, 3789–3800 (1996). (10.1016/1359-6454(95)00447-5) / Acta Mater. by F Soisson (1996)
Pareige, C., Soisson, F., Martin, G. & Blavette, D. Ordering and phase separation in Ni-Cr-Al: Monte Carlo simulations versus three-dimensional atom probe. Acta Mater. 47, 1889–1899 (1999). (10.1016/S1359-6454(99)00054-3) / Acta Mater. by C Pareige (1999)
Sudbrack, C. K. et al. in Electron Microscopy: Its Role in Materials Research—The Mike Meshii Symposium (eds Weertman, J. R., Fine, M. E., Faber, K. T., King, W. & Liaw, P.) 43–50 (TMS; The Minerals, Metals & Materials Society, Warrendale, PA, 2003). / Electron Microscopy: Its Role in Materials Research—The Mike Meshii Symposium by CK Sudbrack (2003)
Sudbrack, C. K., Yoon, K. E., Noebe, R. D. & Seidman, D. N. Temporal evolution of the nanostructure and phase compositions in a model Ni–Al–Cr alloy. Acta Mater. 54, 3199–3210 (2006). (10.1016/j.actamat.2006.03.015) / Acta Mater. by CK Sudbrack (2006)
Sudbrack, C. K., Noebe, R. D. & Seidman, D. N. Compositional pathways and capillary effects during isothermal precipitation in a nondilute Ni–Al–Cr alloy. Acta Mater. 55, 119–130 (2007). (10.1016/j.actamat.2006.08.009) / Acta Mater. by CK Sudbrack (2007)
Clouet, E. et al. Complex precipitation pathways in multicomponent alloys. Nature Mater. 5, 482–488 (2006). (10.1038/nmat1652) / Nature Mater. by E Clouet (2006)
Allnatt, A. R. & Lidiard, A. B. Atomic Transport in Solids (Cambridge Univ. Press, Cambridge, 1993). (10.1017/CBO9780511563904) / Atomic Transport in Solids by AR Allnatt (1993)
Andersson, J. & Ågren, J. Models for numerical treatment of multicomponent diffusion in simple phases. J. Appl. Phys. 72, 1350–1355 (1992). (10.1063/1.351745) / J. Appl. Phys. by J Andersson (1992)
Thornton, K., Ågren, J. & Voorhees, P. W. Modelling the evolution of phase boundaries in solids at the meso- and nano-scales. Acta Mater. 51, 5675–5710 (2003). (10.1016/j.actamat.2003.08.008) / Acta Mater. by K Thornton (2003)
Binder, K. Applications of Monte Carlo methods to statistical physics. Rep. Prog. Phys. 60, 487–559 (1997). (10.1088/0034-4885/60/5/001) / Rep. Prog. Phys. by K Binder (1997)
Fratzl, P. & Penrose, O. Kinetics of spinodal decomposition in the Ising model with vacancy diffusion. Phys. Rev. B 50, 3477–3480 (1994). (10.1103/PhysRevB.50.3477) / Phys. Rev. B by P Fratzl (1994)
Weinkamer, R. & Fratzl, P. By which mechanism does coarsening in phase separating alloys proceed? Europhys. Lett. 61, 261–267 (2003). (10.1209/epl/i2003-00227-1) / Europhys. Lett. by R Weinkamer (2003)
Martin, G. Atomic mobility in Cahn’s diffusion model. Phys. Rev. B 41, 2279–2283 (1990). (10.1103/PhysRevB.41.2279) / Phys. Rev. B by G Martin (1990)
Athénes, M., Bellon, P. & Martin, G. Effects of atomic mobilities on phase separation kinetics: A Monte Carlo study. Acta Mater. 48, 3675–2688 (2000). (10.1016/S1359-6454(00)00060-4) / Acta Mater. by M Athénes (2000)
Le Bouar, Y. & Soisson, F. Kinetic pathways from EAM potentials: influence of the activation barriers. Phys. Rev. B 65, 094103 (2002). (10.1103/PhysRevB.65.094103) / Phys. Rev. B by Y Le Bouar (2002)
Rautiainen, T. T. & Sutton, A. P. Influence of the atomic diffusion mechanism on morphologies, kinetics, and the mechanisms of coarsening during phase separation. Phys. Rev. B 59, 13681–13692 (1999). (10.1103/PhysRevB.59.13681) / Phys. Rev. B by TT Rautiainen (1999)
Roussel, J. M. & Bellon, P. Vacancy-assisted phase separation with asymmetric atomic mobility: coarsening rates, precipitate composition, and morphology. Phys. Rev. B 63, 184114 (2001). (10.1103/PhysRevB.63.184114) / Phys. Rev. B by JM Roussel (2001)
Hellman, O. C., Blatz du Rivage, J. & Seidman, D. N. Efficient sampling for three-dimensional atom probe microscopy data. Ultramicroscopy 95, 199–205 (2003). (10.1016/S0304-3991(02)00317-0) / Ultramicroscopy by OC Hellman (2003)
Hellman, O. C., Vandenbroucke, J., Blatz du Rivage, J. & Seidman, D. N. Application software for data analysis for three-dimensional atom probe microscopy. Mater. Sci. Eng. A 327, 29–33 (2002). (10.1016/S0921-5093(01)01887-1) / Mater. Sci. Eng. A by OC Hellman (2002)
Hellman, O. C., Vandenbroucke, J. A., Rüsing, J., Isheim, D. & Seidman, D. N. Analysis of three-dimensional atom-probe data by the proximity histogram. Microsc. Microanal. 6, 437–444 (2000). (10.1007/S100050010051) / Microsc. Microanal. by OC Hellman (2000)
Sudbrack, C. K. Decomposition Behavior in Model Ni-Al-Cr-X Superalloys: Temporal Evolution and Compositional Pathways on a Nanoscale. Thesis, Northwestern Univ. (2004) (http://arc.nucapt.northwestern.edu/refbase/show.php?record=16).
Yoon, K. E. Temporal Evolution of the Chemistry and Nanostructure of Multicomponent Model Ni-based Superalloys. Thesis, Northwestern Univ. (2004) (http://arc.nucapt.northwestern.edu/refbase/show.php?record=15).
Sudbrack, C. K., Noebe, R. D. & Seidman, D. N. Direct observations of nucleation in a nondilute multicomponent alloy. Phys. Rev. B 73, 212101 (2006). (10.1103/PhysRevB.73.212101) / Phys. Rev. B by CK Sudbrack (2006)
Doyama, M. & Koehler, J. S. The relation between the formation energy of a vacancy and the nearest neighbor interactions in pure metals and liquid metals. Acta Metall. 24, 871–879 (1976). (10.1016/0001-6160(76)90055-9) / Acta Metall. by M Doyama (1976)
Ardell, A. J. & Ozolins, V. Trans-interface diffusion-controlled coarsening. Nature Mater. 4, 309–316 (2005). (10.1038/nmat1340) / Nature Mater. by AJ Ardell (2005)
Lifshitz, I. M. & Slyozov, V. V. The kinetics of precipitation from supersaturated solid solutions. J. Phys. Chem. Solids 19, 35–50 (1961). (10.1016/0022-3697(61)90054-3) / J. Phys. Chem. Solids by IM Lifshitz (1961)
Wagner, C. Theorie der alterung von niederschlägen durch umlösen (Ostwald-reifung). Z. Elektrochem. 65, 581–591 (1961). / Z. Elektrochem. by C Wagner (1961)
Martin, G. & Desgranges, C. Diffusion in crystals with nonconservative defects. Europhys. Lett. 44, 150–155 (1998). (10.1209/epl/i1998-00449-1) / Europhys. Lett. by G Martin (1998)
Seidman, D. N. & Balluffi, R. W. in Lattice Defects and their Interactions (ed. Hasiguti, R. R.) 913–960 (Gordon-Breach, New York, 1968). / Lattice Defects and their Interactions by DN Seidman (1968)
Svoboda, J., Fischer, F. D., Fratzl, P. & Kroupa, A. Diffusion in multi-component systems with no or dense sources and sinks for vacancies. Acta Mater. 50, 1369–1381 (2002). (10.1016/S1359-6454(01)00443-8) / Acta Mater. by J Svoboda (2002)
Hartmann, A., Weinkamer, R., Fratzl, P., Svoboda, J. & Fischer, F. D. Onsager’s coefficients and diffusion laws—a Monte Carlo study. Phil. Mag. 85, 1243–1260 (2005). (10.1080/14786430412331333356) / Phil. Mag. by A Hartmann (2005)
Barbe, V. & Nastar, M. A self-consistent mean field calculation of the phenomenological coefficients in a multi-component alloy with high jump frequency ratios. Phil. Mag. 86, 1513–1538 (2006). (10.1080/14786430500383575) / Phil. Mag. by V Barbe (2006)
Foiles, S. M. & Adams, J. B. Thermodynamic properties of fcc transition metals as calculated with the embedded-atom method. Phys. Rev. B 40, 5909–5915 (1989). (10.1103/PhysRevB.40.5909) / Phys. Rev. B by SM Foiles (1989)
Payne, M., Teter, R., Allan, D., Arias, T. & Joannopoulos, J. Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients. Rev. Mod. Phys. 64, 1045–1097 (1992). (10.1103/RevModPhys.64.1045) / Rev. Mod. Phys. by M Payne (1992)
Chen, N., Chen, Z. & Wei, Y. Multidimensional inverse lattice problem and a uniformly sampled arithmetic Fourier transform. Phys. Rev. E 55, R5–R8 (1997). / Phys. Rev. E by N Chen (1997)
Liu, S., Li, M. & Chen, N. Möbius transform and inversion from cohesion to elastic constant. J. Phys. Condens. Matter 5, 4381–4390 (1993). (10.1088/0953-8984/5/26/010) / J. Phys. Condens. Matter by S Liu (1993)
Taylor, A. & Floyd, R. W. The constitution of nickel-rich alloys of the nickel-chromium-aluminum system. J. Inst. Met. 81, 451–464 (1952–53). / J. Inst. Met. by A Taylor (1952)

Dates

Type	When
Created	18 years, 5 months ago (Feb. 25, 2007, 12:52 p.m.)
Deposited	3 years, 1 month ago (July 6, 2022, 3:25 p.m.)
Indexed	10 hours, 29 minutes ago (Aug. 21, 2025, 12:35 p.m.)
Issued	18 years, 5 months ago (Feb. 25, 2007)
Published	18 years, 5 months ago (Feb. 25, 2007)
Published Online	18 years, 5 months ago (Feb. 25, 2007)
Published Print	18 years, 5 months ago (March 1, 2007)

Funders 0

None

BibTeX

@article{Mao_2007, title={The mechanism of morphogenesis in a phase-separating concentrated multicomponent alloy}, volume={6}, ISSN={1476-4660}, url={http://dx.doi.org/10.1038/nmat1845}, DOI={10.1038/nmat1845}, number={3}, journal={Nature Materials}, publisher={Springer Science and Business Media LLC}, author={Mao, Zugang and Sudbrack, Chantal K. and Yoon, Kevin E. and Martin, Georges and Seidman, David N.}, year={2007}, month=feb, pages={210–216} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        21
      ]
    ],
    "date-time": "2025-08-21T16:35:45Z",
    "timestamp": 1755794145177
  },
  "reference-count": 40,
  "publisher": "Springer Science and Business Media LLC",
  "issue": "3",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            2007,
            2,
            25
          ]
        ],
        "date-time": "2007-02-25T00:00:00Z",
        "timestamp": 1172361600000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "https://www.springer.com/tdm"
    },
    {
      "start": {
        "date-parts": [
          [
            2007,
            2,
            25
          ]
        ],
        "date-time": "2007-02-25T00:00:00Z",
        "timestamp": 1172361600000
      },
      "content-version": "vor",
      "delay-in-days": 0,
      "URL": "https://www.springer.com/tdm"
    }
  ],
  "content-domain": {
    "domain": [
      "link.springer.com"
    ],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        2007,
        3
      ]
    ]
  },
  "DOI": "10.1038/nmat1845",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2007,
        2,
        25
      ]
    ],
    "date-time": "2007-02-25T17:52:36Z",
    "timestamp": 1172425956000
  },
  "page": "210-216",
  "update-policy": "http://dx.doi.org/10.1007/springer_crossmark_policy",
  "source": "Crossref",
  "is-referenced-by-count": 154,
  "title": "The mechanism of morphogenesis in a phase-separating concentrated multicomponent alloy",
  "prefix": "10.1038",
  "volume": "6",
  "author": [
    {
      "given": "Zugang",
      "family": "Mao",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "Chantal K.",
      "family": "Sudbrack",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Kevin E.",
      "family": "Yoon",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "Georges",
      "family": "Martin",
      "sequence": "additional",
      "affiliation": []
    },
    {
      "given": "David N.",
      "family": "Seidman",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "297",
  "published-online": {
    "date-parts": [
      [
        2007,
        2,
        25
      ]
    ]
  },
  "reference": [
    {
      "key": "BFnmat1845_CR1",
      "doi-asserted-by": "publisher",
      "first-page": "2911",
      "DOI": "10.1063/1.1144382",
      "volume": "64",
      "author": "D Blavette",
      "year": "1993",
      "unstructured": "Blavette, D. et al. The tomographic atom-probe\u2014a quantitative 3-dimensional nanoanalytical instrument on an atomic-scale. Rev. Sci. Instrum. 64, 2911\u20132919 (1993).",
      "journal-title": "Rev. Sci. Instrum."
    },
    {
      "key": "BFnmat1845_CR2",
      "doi-asserted-by": "publisher",
      "first-page": "49",
      "DOI": "10.1063/1.1148477",
      "volume": "69",
      "author": "A Cerezo",
      "year": "1998",
      "unstructured": "Cerezo, A., Godfrey, T. J., Sijbrandij, S. J., Smith, G. D. W. & Warren, P. J. Performance of an energy-compensated three-dimensional atom probe. Rev. Sci. Instrum. 69, 49\u201358 (1998).",
      "journal-title": "Rev. Sci. Instrum."
    },
    {
      "key": "BFnmat1845_CR3",
      "doi-asserted-by": "publisher",
      "first-page": "373",
      "DOI": "10.1017/S1431927604040565",
      "volume": "10",
      "author": "TF Kelly",
      "year": "2004",
      "unstructured": "Kelly, T. F. et al. First data from a commercial local electrode atom probe (LEAP). Microsc. Microanal. 10, 373\u2013383 (2004).",
      "journal-title": "Microsc. Microanal."
    },
    {
      "key": "BFnmat1845_CR4",
      "doi-asserted-by": "publisher",
      "first-page": "3789",
      "DOI": "10.1016/1359-6454(95)00447-5",
      "volume": "44",
      "author": "F Soisson",
      "year": "1996",
      "unstructured": "Soisson, F., Barbu, A. & Martin, G. Monte Carlo simulations of copper precipitation in dilute iron-copper alloys during thermal ageing and under electron irradiation. Acta Mater. 44, 3789\u20133800 (1996).",
      "journal-title": "Acta Mater."
    },
    {
      "key": "BFnmat1845_CR5",
      "doi-asserted-by": "publisher",
      "first-page": "1889",
      "DOI": "10.1016/S1359-6454(99)00054-3",
      "volume": "47",
      "author": "C Pareige",
      "year": "1999",
      "unstructured": "Pareige, C., Soisson, F., Martin, G. & Blavette, D. Ordering and phase separation in Ni-Cr-Al: Monte Carlo simulations versus three-dimensional atom probe. Acta Mater. 47, 1889\u20131899 (1999).",
      "journal-title": "Acta Mater."
    },
    {
      "key": "BFnmat1845_CR6",
      "first-page": "43",
      "volume-title": "Electron Microscopy: Its Role in Materials Research\u2014The Mike Meshii Symposium",
      "author": "CK Sudbrack",
      "year": "2003",
      "unstructured": "Sudbrack, C. K. et al. in Electron Microscopy: Its Role in Materials Research\u2014The Mike Meshii Symposium (eds Weertman, J. R., Fine, M. E., Faber, K. T., King, W. & Liaw, P.) 43\u201350 (TMS; The Minerals, Metals & Materials Society, Warrendale, PA, 2003)."
    },
    {
      "key": "BFnmat1845_CR7",
      "doi-asserted-by": "publisher",
      "first-page": "3199",
      "DOI": "10.1016/j.actamat.2006.03.015",
      "volume": "54",
      "author": "CK Sudbrack",
      "year": "2006",
      "unstructured": "Sudbrack, C. K., Yoon, K. E., Noebe, R. D. & Seidman, D. N. Temporal evolution of the nanostructure and phase compositions in a model Ni\u2013Al\u2013Cr alloy. Acta Mater. 54, 3199\u20133210 (2006).",
      "journal-title": "Acta Mater."
    },
    {
      "key": "BFnmat1845_CR8",
      "doi-asserted-by": "publisher",
      "first-page": "119",
      "DOI": "10.1016/j.actamat.2006.08.009",
      "volume": "55",
      "author": "CK Sudbrack",
      "year": "2007",
      "unstructured": "Sudbrack, C. K., Noebe, R. D. & Seidman, D. N. Compositional pathways and capillary effects during isothermal precipitation in a nondilute Ni\u2013Al\u2013Cr alloy. Acta Mater. 55, 119\u2013130 (2007).",
      "journal-title": "Acta Mater."
    },
    {
      "key": "BFnmat1845_CR9",
      "doi-asserted-by": "publisher",
      "first-page": "482",
      "DOI": "10.1038/nmat1652",
      "volume": "5",
      "author": "E Clouet",
      "year": "2006",
      "unstructured": "Clouet, E. et al. Complex precipitation pathways in multicomponent alloys. Nature Mater. 5, 482\u2013488 (2006).",
      "journal-title": "Nature Mater."
    },
    {
      "key": "BFnmat1845_CR10",
      "doi-asserted-by": "publisher",
      "DOI": "10.1017/CBO9780511563904",
      "volume-title": "Atomic Transport in Solids",
      "author": "AR Allnatt",
      "year": "1993",
      "unstructured": "Allnatt, A. R. & Lidiard, A. B. Atomic Transport in Solids (Cambridge Univ. Press, Cambridge, 1993)."
    },
    {
      "key": "BFnmat1845_CR11",
      "doi-asserted-by": "publisher",
      "first-page": "1350",
      "DOI": "10.1063/1.351745",
      "volume": "72",
      "author": "J Andersson",
      "year": "1992",
      "unstructured": "Andersson, J. & \u00c5gren, J. Models for numerical treatment of multicomponent diffusion in simple phases. J. Appl. Phys. 72, 1350\u20131355 (1992).",
      "journal-title": "J. Appl. Phys."
    },
    {
      "key": "BFnmat1845_CR12",
      "doi-asserted-by": "publisher",
      "first-page": "5675",
      "DOI": "10.1016/j.actamat.2003.08.008",
      "volume": "51",
      "author": "K Thornton",
      "year": "2003",
      "unstructured": "Thornton, K., \u00c5gren, J. & Voorhees, P. W. Modelling the evolution of phase boundaries in solids at the meso- and nano-scales. Acta Mater. 51, 5675\u20135710 (2003).",
      "journal-title": "Acta Mater."
    },
    {
      "key": "BFnmat1845_CR13",
      "doi-asserted-by": "publisher",
      "first-page": "487",
      "DOI": "10.1088/0034-4885/60/5/001",
      "volume": "60",
      "author": "K Binder",
      "year": "1997",
      "unstructured": "Binder, K. Applications of Monte Carlo methods to statistical physics. Rep. Prog. Phys. 60, 487\u2013559 (1997).",
      "journal-title": "Rep. Prog. Phys."
    },
    {
      "key": "BFnmat1845_CR14",
      "doi-asserted-by": "publisher",
      "first-page": "3477",
      "DOI": "10.1103/PhysRevB.50.3477",
      "volume": "50",
      "author": "P Fratzl",
      "year": "1994",
      "unstructured": "Fratzl, P. & Penrose, O. Kinetics of spinodal decomposition in the Ising model with vacancy diffusion. Phys. Rev. B 50, 3477\u20133480 (1994).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "BFnmat1845_CR15",
      "doi-asserted-by": "publisher",
      "first-page": "261",
      "DOI": "10.1209/epl/i2003-00227-1",
      "volume": "61",
      "author": "R Weinkamer",
      "year": "2003",
      "unstructured": "Weinkamer, R. & Fratzl, P. By which mechanism does coarsening in phase separating alloys proceed? Europhys. Lett. 61, 261\u2013267 (2003).",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "BFnmat1845_CR16",
      "doi-asserted-by": "publisher",
      "first-page": "2279",
      "DOI": "10.1103/PhysRevB.41.2279",
      "volume": "41",
      "author": "G Martin",
      "year": "1990",
      "unstructured": "Martin, G. Atomic mobility in Cahn\u2019s diffusion model. Phys. Rev. B 41, 2279\u20132283 (1990).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "BFnmat1845_CR17",
      "doi-asserted-by": "publisher",
      "first-page": "3675",
      "DOI": "10.1016/S1359-6454(00)00060-4",
      "volume": "48",
      "author": "M Ath\u00e9nes",
      "year": "2000",
      "unstructured": "Ath\u00e9nes, M., Bellon, P. & Martin, G. Effects of atomic mobilities on phase separation kinetics: A Monte Carlo study. Acta Mater. 48, 3675\u20132688 (2000).",
      "journal-title": "Acta Mater."
    },
    {
      "key": "BFnmat1845_CR18",
      "doi-asserted-by": "publisher",
      "first-page": "094103",
      "DOI": "10.1103/PhysRevB.65.094103",
      "volume": "65",
      "author": "Y Le Bouar",
      "year": "2002",
      "unstructured": "Le Bouar, Y. & Soisson, F. Kinetic pathways from EAM potentials: influence of the activation barriers. Phys. Rev. B 65, 094103 (2002).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "BFnmat1845_CR19",
      "doi-asserted-by": "publisher",
      "first-page": "13681",
      "DOI": "10.1103/PhysRevB.59.13681",
      "volume": "59",
      "author": "TT Rautiainen",
      "year": "1999",
      "unstructured": "Rautiainen, T. T. & Sutton, A. P. Influence of the atomic diffusion mechanism on morphologies, kinetics, and the mechanisms of coarsening during phase separation. Phys. Rev. B 59, 13681\u201313692 (1999).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "BFnmat1845_CR20",
      "doi-asserted-by": "publisher",
      "first-page": "184114",
      "DOI": "10.1103/PhysRevB.63.184114",
      "volume": "63",
      "author": "JM Roussel",
      "year": "2001",
      "unstructured": "Roussel, J. M. & Bellon, P. Vacancy-assisted phase separation with asymmetric atomic mobility: coarsening rates, precipitate composition, and morphology. Phys. Rev. B 63, 184114 (2001).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "BFnmat1845_CR21",
      "doi-asserted-by": "publisher",
      "first-page": "199",
      "DOI": "10.1016/S0304-3991(02)00317-0",
      "volume": "95",
      "author": "OC Hellman",
      "year": "2003",
      "unstructured": "Hellman, O. C., Blatz du Rivage, J. & Seidman, D. N. Efficient sampling for three-dimensional atom probe microscopy data. Ultramicroscopy 95, 199\u2013205 (2003).",
      "journal-title": "Ultramicroscopy"
    },
    {
      "key": "BFnmat1845_CR22",
      "doi-asserted-by": "publisher",
      "first-page": "29",
      "DOI": "10.1016/S0921-5093(01)01887-1",
      "volume": "327",
      "author": "OC Hellman",
      "year": "2002",
      "unstructured": "Hellman, O. C., Vandenbroucke, J., Blatz du Rivage, J. & Seidman, D. N. Application software for data analysis for three-dimensional atom probe microscopy. Mater. Sci. Eng. A 327, 29\u201333 (2002).",
      "journal-title": "Mater. Sci. Eng. A"
    },
    {
      "key": "BFnmat1845_CR23",
      "doi-asserted-by": "publisher",
      "first-page": "437",
      "DOI": "10.1007/S100050010051",
      "volume": "6",
      "author": "OC Hellman",
      "year": "2000",
      "unstructured": "Hellman, O. C., Vandenbroucke, J. A., R\u00fcsing, J., Isheim, D. & Seidman, D. N. Analysis of three-dimensional atom-probe data by the proximity histogram. Microsc. Microanal. 6, 437\u2013444 (2000).",
      "journal-title": "Microsc. Microanal."
    },
    {
      "key": "BFnmat1845_CR24",
      "unstructured": "Sudbrack, C. K. Decomposition Behavior in Model Ni-Al-Cr-X Superalloys: Temporal Evolution and Compositional Pathways on a Nanoscale. Thesis, Northwestern Univ. (2004) (http://arc.nucapt.northwestern.edu/refbase/show.php?record=16)."
    },
    {
      "key": "BFnmat1845_CR25",
      "unstructured": "Yoon, K. E. Temporal Evolution of the Chemistry and Nanostructure of Multicomponent Model Ni-based Superalloys. Thesis, Northwestern Univ. (2004) (http://arc.nucapt.northwestern.edu/refbase/show.php?record=15)."
    },
    {
      "key": "BFnmat1845_CR26",
      "doi-asserted-by": "publisher",
      "first-page": "212101",
      "DOI": "10.1103/PhysRevB.73.212101",
      "volume": "73",
      "author": "CK Sudbrack",
      "year": "2006",
      "unstructured": "Sudbrack, C. K., Noebe, R. D. & Seidman, D. N. Direct observations of nucleation in a nondilute multicomponent alloy. Phys. Rev. B 73, 212101 (2006).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "BFnmat1845_CR27",
      "doi-asserted-by": "publisher",
      "first-page": "871",
      "DOI": "10.1016/0001-6160(76)90055-9",
      "volume": "24",
      "author": "M Doyama",
      "year": "1976",
      "unstructured": "Doyama, M. & Koehler, J. S. The relation between the formation energy of a vacancy and the nearest neighbor interactions in pure metals and liquid metals. Acta Metall. 24, 871\u2013879 (1976).",
      "journal-title": "Acta Metall."
    },
    {
      "key": "BFnmat1845_CR28",
      "doi-asserted-by": "publisher",
      "first-page": "309",
      "DOI": "10.1038/nmat1340",
      "volume": "4",
      "author": "AJ Ardell",
      "year": "2005",
      "unstructured": "Ardell, A. J. & Ozolins, V. Trans-interface diffusion-controlled coarsening. Nature Mater. 4, 309\u2013316 (2005).",
      "journal-title": "Nature Mater."
    },
    {
      "key": "BFnmat1845_CR29",
      "doi-asserted-by": "publisher",
      "first-page": "35",
      "DOI": "10.1016/0022-3697(61)90054-3",
      "volume": "19",
      "author": "IM Lifshitz",
      "year": "1961",
      "unstructured": "Lifshitz, I. M. & Slyozov, V. V. The kinetics of precipitation from supersaturated solid solutions. J. Phys. Chem. Solids 19, 35\u201350 (1961).",
      "journal-title": "J. Phys. Chem. Solids"
    },
    {
      "key": "BFnmat1845_CR30",
      "first-page": "581",
      "volume": "65",
      "author": "C Wagner",
      "year": "1961",
      "unstructured": "Wagner, C. Theorie der alterung von niederschl\u00e4gen durch uml\u00f6sen (Ostwald-reifung). Z.\u00a0Elektrochem. 65, 581\u2013591 (1961).",
      "journal-title": "Z.\u00a0Elektrochem."
    },
    {
      "key": "BFnmat1845_CR31",
      "doi-asserted-by": "publisher",
      "first-page": "150",
      "DOI": "10.1209/epl/i1998-00449-1",
      "volume": "44",
      "author": "G Martin",
      "year": "1998",
      "unstructured": "Martin, G. & Desgranges, C. Diffusion in crystals with nonconservative defects. Europhys. Lett. 44, 150\u2013155 (1998).",
      "journal-title": "Europhys. Lett."
    },
    {
      "key": "BFnmat1845_CR32",
      "first-page": "913",
      "volume-title": "Lattice Defects and their Interactions",
      "author": "DN Seidman",
      "year": "1968",
      "unstructured": "Seidman, D. N. & Balluffi, R. W. in Lattice Defects and their Interactions (ed. Hasiguti, R. R.) 913\u2013960 (Gordon-Breach, New York, 1968)."
    },
    {
      "key": "BFnmat1845_CR33",
      "doi-asserted-by": "publisher",
      "first-page": "1369",
      "DOI": "10.1016/S1359-6454(01)00443-8",
      "volume": "50",
      "author": "J Svoboda",
      "year": "2002",
      "unstructured": "Svoboda, J., Fischer, F. D., Fratzl, P. & Kroupa, A. Diffusion in multi-component systems with no or dense sources and sinks for vacancies. Acta Mater. 50, 1369\u20131381 (2002).",
      "journal-title": "Acta Mater."
    },
    {
      "key": "BFnmat1845_CR34",
      "doi-asserted-by": "publisher",
      "first-page": "1243",
      "DOI": "10.1080/14786430412331333356",
      "volume": "85",
      "author": "A Hartmann",
      "year": "2005",
      "unstructured": "Hartmann, A., Weinkamer, R., Fratzl, P., Svoboda, J. & Fischer, F. D. Onsager\u2019s coefficients and diffusion laws\u2014a Monte Carlo study. Phil. Mag. 85, 1243\u20131260 (2005).",
      "journal-title": "Phil. Mag."
    },
    {
      "key": "BFnmat1845_CR35",
      "doi-asserted-by": "publisher",
      "first-page": "1513",
      "DOI": "10.1080/14786430500383575",
      "volume": "86",
      "author": "V Barbe",
      "year": "2006",
      "unstructured": "Barbe, V. & Nastar, M. A self-consistent mean field calculation of the phenomenological coefficients in a multi-component alloy with high jump frequency ratios. Phil. Mag. 86, 1513\u20131538 (2006).",
      "journal-title": "Phil. Mag."
    },
    {
      "key": "BFnmat1845_CR36",
      "doi-asserted-by": "publisher",
      "first-page": "5909",
      "DOI": "10.1103/PhysRevB.40.5909",
      "volume": "40",
      "author": "SM Foiles",
      "year": "1989",
      "unstructured": "Foiles, S. M. & Adams, J. B. Thermodynamic properties of fcc transition metals as calculated with the embedded-atom method. Phys. Rev. B 40, 5909\u20135915 (1989).",
      "journal-title": "Phys. Rev. B"
    },
    {
      "key": "BFnmat1845_CR37",
      "doi-asserted-by": "publisher",
      "first-page": "1045",
      "DOI": "10.1103/RevModPhys.64.1045",
      "volume": "64",
      "author": "M Payne",
      "year": "1992",
      "unstructured": "Payne, M., Teter, R., Allan, D., Arias, T. & Joannopoulos, J. Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients. Rev. Mod. Phys. 64, 1045\u20131097 (1992).",
      "journal-title": "Rev. Mod. Phys."
    },
    {
      "key": "BFnmat1845_CR38",
      "first-page": "R5",
      "volume": "55",
      "author": "N Chen",
      "year": "1997",
      "unstructured": "Chen, N., Chen, Z. & Wei, Y. Multidimensional inverse lattice problem and a uniformly sampled arithmetic Fourier transform. Phys. Rev. E 55, R5\u2013R8 (1997).",
      "journal-title": "Phys. Rev. E"
    },
    {
      "key": "BFnmat1845_CR39",
      "doi-asserted-by": "publisher",
      "first-page": "4381",
      "DOI": "10.1088/0953-8984/5/26/010",
      "volume": "5",
      "author": "S Liu",
      "year": "1993",
      "unstructured": "Liu, S., Li, M. & Chen, N. M\u00f6bius transform and inversion from cohesion to elastic constant. J. Phys. Condens. Matter 5, 4381\u20134390 (1993).",
      "journal-title": "J. Phys. Condens. Matter"
    },
    {
      "key": "BFnmat1845_CR40",
      "first-page": "451",
      "volume": "81",
      "author": "A Taylor",
      "year": "1952",
      "unstructured": "Taylor, A. & Floyd, R. W. The constitution of nickel-rich alloys of the nickel-chromium-aluminum system. J. Inst. Met. 81, 451\u2013464 (1952\u201353).",
      "journal-title": "J. Inst. Met."
    }
  ],
  "container-title": "Nature Materials",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "https://www.nature.com/articles/nmat1845.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://www.nature.com/articles/nmat1845",
      "content-type": "text/html",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "https://www.nature.com/articles/nmat1845.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2022,
        7,
        6
      ]
    ],
    "date-time": "2022-07-06T19:25:10Z",
    "timestamp": 1657135510000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://www.nature.com/articles/nmat1845"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        2007,
        2,
        25
      ]
    ]
  },
  "references-count": 40,
  "journal-issue": {
    "issue": "3",
    "published-print": {
      "date-parts": [
        [
          2007,
          3
        ]
      ]
    }
  },
  "alternative-id": [
    "BFnmat1845"
  ],
  "URL": "http://dx.doi.org/10.1038/nmat1845",
  "relation": {},
  "ISSN": [
    "1476-1122",
    "1476-4660"
  ],
  "subject": [],
  "container-title-short": "Nature Mater",
  "published": {
    "date-parts": [
      [
        2007,
        2,
        25
      ]
    ]
  },
  "assertion": [
    {
      "value": "26 July 2006",
      "order": 1,
      "name": "received",
      "label": "Received",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "21 December 2006",
      "order": 2,
      "name": "accepted",
      "label": "Accepted",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "25 February 2007",
      "order": 3,
      "name": "first_online",
      "label": "First Online",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "The authors declare no competing financial interests.",
      "order": 1,
      "name": "Ethics",
      "group": {
        "name": "EthicsHeading",
        "label": "Competing interests"
      }
    }
  ]
}