Measurement of the Gibbsian interfacial excess of solute at an interface of arbitrary geometry using three-dimensional atom probe microscopy

Olof C. Hellman; David N. Seidman

doi:10.1016/S0921-5093(01)01885-8

Measurement of the Gibbsian interfacial excess of solute at an interface of arbitrary geometry using three-dimensional atom probe microscopy

Olof C. Hellman, David N. Seidman^*

^*Corresponding author for this work

Materials Science and Engineering

Research output: Contribution to journal › Article › peer-review

97 Scopus citations

Abstract

We show how the Gibbsian interfacial excess of solute can be calculated from three-dimensional atom probe data, even in the case of irregularly shaped interfaces. Standard treatments of interfacial thermodynamics implicitly define a one-dimensional geometry for an interface by assuming a planar interface. Of course, many real systems exhibit non-planar interfaces, and these treatments are difficult to apply. We show how our treatment derives from Gibbs' original approach and how it is used to derive real thermodynamic quantities. The technique can be applied to any interfacial excess quantity.

Original language	English (US)
Pages (from-to)	24-28
Number of pages	5
Journal	Materials Science and Engineering: A
Volume	327
Issue number	1
DOIs	https://doi.org/10.1016/S0921-5093(01)01885-8
State	Published - Apr 15 2002

Funding

The example data used was taken from 3DAP experiments by Dr Jörg Rüsing and Mr Jason T. Sebastian. This research is supported by the National Science Foundation, Division of Materials Research, Grant DMR-972896, Bruce MacDonald, Grant Officer.

Keywords

Atom probe microscopy
Gibbsian excess
Interface
Segregation

ASJC Scopus subject areas

General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/S0921-5093(01)01885-8

Cite this

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abstract = "We show how the Gibbsian interfacial excess of solute can be calculated from three-dimensional atom probe data, even in the case of irregularly shaped interfaces. Standard treatments of interfacial thermodynamics implicitly define a one-dimensional geometry for an interface by assuming a planar interface. Of course, many real systems exhibit non-planar interfaces, and these treatments are difficult to apply. We show how our treatment derives from Gibbs' original approach and how it is used to derive real thermodynamic quantities. The technique can be applied to any interfacial excess quantity.",

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AU - Hellman, Olof C.

AU - Seidman, David N.

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N2 - We show how the Gibbsian interfacial excess of solute can be calculated from three-dimensional atom probe data, even in the case of irregularly shaped interfaces. Standard treatments of interfacial thermodynamics implicitly define a one-dimensional geometry for an interface by assuming a planar interface. Of course, many real systems exhibit non-planar interfaces, and these treatments are difficult to apply. We show how our treatment derives from Gibbs' original approach and how it is used to derive real thermodynamic quantities. The technique can be applied to any interfacial excess quantity.

AB - We show how the Gibbsian interfacial excess of solute can be calculated from three-dimensional atom probe data, even in the case of irregularly shaped interfaces. Standard treatments of interfacial thermodynamics implicitly define a one-dimensional geometry for an interface by assuming a planar interface. Of course, many real systems exhibit non-planar interfaces, and these treatments are difficult to apply. We show how our treatment derives from Gibbs' original approach and how it is used to derive real thermodynamic quantities. The technique can be applied to any interfacial excess quantity.

KW - Atom probe microscopy

KW - Gibbsian excess

KW - Interface

KW - Segregation

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Measurement of the Gibbsian interfacial excess of solute at an interface of arbitrary geometry using three-dimensional atom probe microscopy

Abstract

Funding

Keywords

ASJC Scopus subject areas

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