Measurements of interfacial curvatures of bicontinuous structure from three-dimensional digital images. 1. A parallel surface method

Yukihiro Nishikawa; Hiroshi Jinnai; Tsuyoshi Koga; Takeji Hashimoto; Stephen T. Hyde

doi:10.1021/la970868b

Measurements of interfacial curvatures of bicontinuous structure from three-dimensional digital images. 1. A parallel surface method

Yukihiro Nishikawa, Hiroshi Jinnai^*, Tsuyoshi Koga, Takeji Hashimoto, Stephen T. Hyde

^*Corresponding author for this work

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

85 Citations (Scopus)

Abstract

A method was developed to measure the area-averaged mean and the Gaussian curvatures from three-dimensional (3D) digital images of the interface of complicated bicontinuous structures. This method involves measurement of areas of surfaces that are parallel to the interface as a function of displacement from it. The applicability and precision of the scheme were critically examined by using a known minimal surface, i.e., the gyroid, as a model of bicontinuous structures. The method was then applied to 3D of the interface of the phase-separated bicontinuous structure of a real polymer blend in order to evaluate the characteristic of curvatures of the interface.

Original language	English
Pages (from-to)	1242-1249
Number of pages	8
Journal	Langmuir
Volume	14
Issue number	5
DOIs	https://doi.org/10.1021/la970868b
Publication status	Published - 3 Mar 1998

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title = "Measurements of interfacial curvatures of bicontinuous structure from three-dimensional digital images. 1. A parallel surface method",

abstract = "A method was developed to measure the area-averaged mean and the Gaussian curvatures from three-dimensional (3D) digital images of the interface of complicated bicontinuous structures. This method involves measurement of areas of surfaces that are parallel to the interface as a function of displacement from it. The applicability and precision of the scheme were critically examined by using a known minimal surface, i.e., the gyroid, as a model of bicontinuous structures. The method was then applied to 3D of the interface of the phase-separated bicontinuous structure of a real polymer blend in order to evaluate the characteristic of curvatures of the interface.",

author = "Yukihiro Nishikawa and Hiroshi Jinnai and Tsuyoshi Koga and Takeji Hashimoto and Hyde, \{Stephen T.\}",

year = "1998",

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AU - Nishikawa, Yukihiro

AU - Jinnai, Hiroshi

AU - Koga, Tsuyoshi

AU - Hashimoto, Takeji

AU - Hyde, Stephen T.

PY - 1998/3/3

Y1 - 1998/3/3

N2 - A method was developed to measure the area-averaged mean and the Gaussian curvatures from three-dimensional (3D) digital images of the interface of complicated bicontinuous structures. This method involves measurement of areas of surfaces that are parallel to the interface as a function of displacement from it. The applicability and precision of the scheme were critically examined by using a known minimal surface, i.e., the gyroid, as a model of bicontinuous structures. The method was then applied to 3D of the interface of the phase-separated bicontinuous structure of a real polymer blend in order to evaluate the characteristic of curvatures of the interface.

AB - A method was developed to measure the area-averaged mean and the Gaussian curvatures from three-dimensional (3D) digital images of the interface of complicated bicontinuous structures. This method involves measurement of areas of surfaces that are parallel to the interface as a function of displacement from it. The applicability and precision of the scheme were critically examined by using a known minimal surface, i.e., the gyroid, as a model of bicontinuous structures. The method was then applied to 3D of the interface of the phase-separated bicontinuous structure of a real polymer blend in order to evaluate the characteristic of curvatures of the interface.

UR - https://www.scopus.com/pages/publications/0032478012

U2 - 10.1021/la970868b

DO - 10.1021/la970868b

M3 - Article

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VL - 14

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EP - 1249

JO - Langmuir

JF - Langmuir

IS - 5

ER -

Measurements of interfacial curvatures of bicontinuous structure from three-dimensional digital images. 1. A parallel surface method

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