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Novel aspects of the real paracrystal

Novel aspects of the real paracrystal A revision of the mathematical concept of paracrystals is proposed. Hermann's Z. Electrochem. (1940), 46, 425-436 early theory of mesophases represents a special case of a paracrystal where the statistical parameters introduced were merely crystalline or gas-like. The theory of paracrystals removes the black-white picture of crystalline and amorphous phases by introducing 18 new statistical parameters into conventional crystallography. It is shown that a real paracrystal can be defined by a three-dimensional convolution polynomial in combination with an empirically derived * law. Hence, a missing corner-stone of colloid science is established. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General Crystallography International Union of Crystallography

Novel aspects of the real paracrystal


Abstract

A revision of the mathematical concept of paracrystals is proposed. Hermann's Z. Electrochem. (1940), 46, 425-436 early theory of mesophases represents a special case of a paracrystal where the statistical parameters introduced were merely crystalline or gas-like. The theory of paracrystals removes the black-white picture of crystalline and amorphous phases by introducing 18 new statistical parameters into conventional crystallography. It is shown that a real paracrystal can be defined by a three-dimensional convolution polynomial in combination with an empirically derived * law. Hence, a missing corner-stone of colloid science is established.

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Publisher
International Union of Crystallography
Copyright
Copyright (c) 1981 International Union of Crystallography
ISSN
0567-7394
DOI
10.1107/S0567739481000156
Publisher site
See Article on Publisher Site

Abstract

A revision of the mathematical concept of paracrystals is proposed. Hermann's Z. Electrochem. (1940), 46, 425-436 early theory of mesophases represents a special case of a paracrystal where the statistical parameters introduced were merely crystalline or gas-like. The theory of paracrystals removes the black-white picture of crystalline and amorphous phases by introducing 18 new statistical parameters into conventional crystallography. It is shown that a real paracrystal can be defined by a three-dimensional convolution polynomial in combination with an empirically derived * law. Hence, a missing corner-stone of colloid science is established.

Journal

Acta Crystallographica Section A: Crystal Physics, Diffraction, Theoretical and General CrystallographyInternational Union of Crystallography

Published: Jan 1, 1981

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