A Note on the Fractal Nature of the Cellulose Fiber Surface

A Note on the Fractal Nature of the Cellulose Fiber Surface Introduction The measurement of the exposed surface of an individual fiber seems to be rather arbitrary and dependent on the degree of fitness of the contours, crevices, and fibrils taken into consideration by the method in use. When the extent of the fiber surface is measured in terms of dry unit mass, the result is the specific surface area commonly called only specific surface.This is understood to picture the surface of a wet swollen fiber (in itself a state which is rather undefined). However, an even less controlled variable influencing such measurements is the quantity of small fragments "debris" present in the specimen. Such small fragments greatly influence the results of the surface measurement due to their high specific surface area. Many experimental methods exist for measuring the specific surface area (Clark 1978), generally relating surface area to some experimental quantities like density and water permeability through some phenomenological equations, often as a function of beating time. In the following we will present a simple physical picture based on self similarity by which the qualitative development of such experimental quantities as specific area, specific surface and average fiber length seems to be well reproduced. Simplistic Theoretical Model branches http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Holzforschung - International Journal of the Biology, Chemistry, Physics and Technology of Wood de Gruyter

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Publisher
de Gruyter
Copyright
Copyright © 2009 Walter de Gruyter
ISSN
0018-3830
eISSN
1437-434X
DOI
10.1515/hfsg.1993.47.4.287
Publisher site
See Article on Publisher Site

Abstract

Introduction The measurement of the exposed surface of an individual fiber seems to be rather arbitrary and dependent on the degree of fitness of the contours, crevices, and fibrils taken into consideration by the method in use. When the extent of the fiber surface is measured in terms of dry unit mass, the result is the specific surface area commonly called only specific surface.This is understood to picture the surface of a wet swollen fiber (in itself a state which is rather undefined). However, an even less controlled variable influencing such measurements is the quantity of small fragments "debris" present in the specimen. Such small fragments greatly influence the results of the surface measurement due to their high specific surface area. Many experimental methods exist for measuring the specific surface area (Clark 1978), generally relating surface area to some experimental quantities like density and water permeability through some phenomenological equations, often as a function of beating time. In the following we will present a simple physical picture based on self similarity by which the qualitative development of such experimental quantities as specific area, specific surface and average fiber length seems to be well reproduced. Simplistic Theoretical Model branches

Journal

Holzforschung - International Journal of the Biology, Chemistry, Physics and Technology of Woodde Gruyter

Published: Jan 1, 1993

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