Finite Temperatue Cauchy--Born Rule and Stability of Crystalline Solids with Point Defects

In electron microscope studies of crystalline solids there is a broad class of very small objects which are imaged primarily by strain contrast. Typical examples include: dislocation loops, precipitates, stacking fault tetrahedra and voids. Such objects are very difficult to identify and measure because of the sensitivity of their image to a host of variables and a similarity in their images. A number of attempts have been made to publish contrast rules to help the microscopist sort out certain subclasses of such defects. For example, Ashby and Brown (1963) described semi-quantitative rules to understand small precipitates. Eyre et al. (1979) published a catalog of images for BCC dislocation loops. Katerbau (1976) described an analytical expression to help understand contrast from small defects. There are other publications as well.

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Cauchy–Born rule and stability of crystalline solids at finite temperature

Communications in Mathematical Sciences ◽

10.4310/cms.2021.v19.n6.a1 ◽

2021 ◽

Vol 19 (6) ◽

pp. 1461-1490

Author(s):

Tao Luo ◽

Yang Xiang ◽

Jerry Zhijian Yang ◽

Cheng Yuan

Keyword(s):

Finite Temperature ◽

Crystalline Solids ◽

Born Rule

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Defects in Crystalline Solids Vol 11 – Electronic and Vibrational Properties of Point Defects in Ionic Crystals

Physics Bulletin ◽

10.1088/0031-9112/31/9/049 ◽

1980 ◽

Vol 31 (9) ◽

pp. 320-320

Author(s):

A E Hughes

Keyword(s):

Point Defects ◽

Vibrational Properties ◽

Ionic Crystals ◽

Crystalline Solids

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Diffusion in Crystalline and Amorphous Solids

MRS Proceedings ◽

10.1557/proc-57-297 ◽

1985 ◽

Vol 57 ◽

Cited By ~ 1

Author(s):

David Lazarus

Keyword(s):

Point Defects ◽

Amorphous Materials ◽

Essential Role ◽

Volume Diffusion ◽

Bulk Diffusion ◽

Amorphous Solids ◽

Crystalline Solids ◽

Simple Point ◽

Diffusion Mechanisms

AbstractDecades of work by a wide variety of techniques were required to establish unambiguously the essential role of simple – and sometimes not so simple – “point” defects in mediating bulk diffusion in crystalline solids. Amorphous solids present new problems for establishing basic diffusion mechanisms. Most experimental techniques which work well for study of diffusion in crystalline solids are useless for study of amorphous materials because of their inherent nonequilibrium structures. A survey of some current results also gives a strong impression that more complex basic mechanisms than simple point defects may be required to account for volume diffusion in these materials.

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