The Third Dimension of Carbon Black Structure

1976 ◽  
Vol 49 (4) ◽  
pp. 1068-1075 ◽  
Author(s):  
H. N. Mercer ◽  
A. H. Boyer ◽  
P. L. Bhusky ◽  
M. L. Deviney

Abstract Structure is probably the most difficult characteristic of carbon black to define. Electron microscopy has shown that the individual particles of a black are fused together into a variety of shapes, collectively defined as the structure. Here, particle is used to refer to that entity which is somewhat spherical in shape and is the smallest “building block” of structure. These particles have also been called “domains” of rotational graphitic layers and “nodules”. The larger unit resulting from the fusion of these particles forms an “aggregate” or a “primary structure” unit. A collection of aggregates, held together by some other force (e.g , van der Waals force), is called an “agglomerate” or “secondary structure”. With dry black, it is difficult to completely eliminate all secondry structure. However, main emphasis in this study was on primary structure, because it has the greater influence on rubber properties and because secondary structure is greatly reduced in good rubber mixing. Many recent characterization studies have been concerned with making direct measurements on primary structure units (aggregates) by automated image analysis techniques, a pencil following device, and a comparative chart method. In the work described here, a different approach has been taken to viewing carbon black primary structure units, an approach using the scanning electron microscope combined with stereoscopic methods. This initial report will be mainly concerned with a description of the techniques and results on several individual primary structure units. It is suggested that the efforts described here provide a realistic view of carbon black primary structure and that a third dimension term is essential for primary structure characterization.

1978 ◽  
Vol 51 (5) ◽  
pp. 1006-1022 ◽  
Author(s):  
B. Wijayarathna ◽  
W. V. Chang ◽  
R. Salovey

Abstract Vulcanizate properties such as tensile strength, abrasion resistance, and tear resistance, are often enhanced by the introduction of structural heterogeneity. This is usually achieved by incorporating fillers into the polymer matrix. In addition to the type of filler and polymer used, mechanical properties depend on factors such as filler particle size, distribution, filler-polymer interaction, and network homogeneity. These factors are largely governed by the conditions of the mixing. The most widely used filler in rubber is carbon black. Carbon black, produced by the pyrolysis of hydrocarbons, is in the form of fused primary aggregates which flocculate to form large secondary aggregates held together by van der Waal forces. The term structure, as applied to carbon black, commonly refers to both primary and secondary aggregates and is designated as primary or secondary structure. The reinforcement of rubber by carbon black depends considerably on the particle size and structure of the black used. Voet and associates have shown evidence that the primary structure is not broken down by shearing action during mixing. However, Heckman and Medalia and Gessler claim that fracture of the primary structure could result from severe mechanical shear. The general consensus is that breakdown of the primary structure of carbon black is not extensive in the usual mixing process. Boonstra and Medalia, among others, reported that large agglomerates remaining after insufficient mixing have a deleterious effect on the rupture properties of vulcanizates. Hence, an optimal mixing process does not destroy secondary aggregates. The secondary structure plays an important role in the dispersion of carbon black during mixing as rubber is squeezed into both primary and secondary aggregates. Low structure blacks pack much more tightly than high structure ones and are more difficult to disperse.


1979 ◽  
Vol 52 (2) ◽  
pp. 377-386 ◽  
Author(s):  
H. N. Mercer ◽  
A. H. Boyer ◽  
M. L. Deviney

Abstract In summary, we have presented a novel 3-D technique for image analysis of carbon black morphology. This technique involves measurements on a single aggregate while viewing this aggregate in three dimensions. The technique uses precision photogrammetry instrumentation and results in reasonable parameters characterizing carbon black. We believe this type of analysis to be useful on an individual laboratory or system basis, and not as an industry wide technique.


1971 ◽  
Vol 44 (1) ◽  
pp. 199-213 ◽  
Author(s):  
Gerard Kraus

Abstract It is shown that various modulus values of carbon black reinforced rubber are functions of the product of the actual black loading and a structure dependent factor. The structure factor appears to be a linear function of the so-called 24M4 value of the dibutylphthalate absorption and is independent of elongation, temperature, and degree of cross-linking over the ranges covered by the data reported. An interpretation of the results is offered based on the idea of polymer occluded in the interstices of primary structure aggregates and thereby shielded from deformation. Structure-concentration equivalence can only be demonstrated with carbon blacks differing in (primary) structure alone. Deviations are observed whenever the carbon blacks compared vary significantly in specific surface area and surface chemical activity.


2021 ◽  
Vol 118 (23) ◽  
pp. e2102168118
Author(s):  
Kelvin Anggara ◽  
Yuntao Zhu ◽  
Giulio Fittolani ◽  
Yang Yu ◽  
Theodore Tyrikos-Ergas ◽  
...  

Correlating the structures and properties of a polymer to its monomer sequence is key to understanding how its higher hierarchy structures are formed and how its macroscopic material properties emerge. Carbohydrate polymers, such as cellulose and chitin, are the most abundant materials found in nature whose structures and properties have been characterized only at the submicrometer level. Here, by imaging single-cellulose chains at the nanoscale, we determine the structure and local flexibility of cellulose as a function of its sequence (primary structure) and conformation (secondary structure). Changing the primary structure by chemical substitutions and geometrical variations in the secondary structure allow the chain flexibility to be engineered at the single-linkage level. Tuning local flexibility opens opportunities for the bottom-up design of carbohydrate materials.


1985 ◽  
Vol 58 (1) ◽  
pp. 164-175 ◽  
Author(s):  
Shau-Chew Wang ◽  
Eberhard A. Meinecke

Abstract The buckling of viscoelastic columns has been considered from both a theoretical and an experimental perspective. The fact that buckling occurs at relatively low strain where the SBR is nearly linearly viscoelastic allowed several simplifications in the theoretical development, leading to closed form predictions of the loading and unloading curves. This treatment neglects gravitational effects and carbon secondary structure effects and fits the experimental data best at HAF loadings around 30 phr. At lower carbon black loadings, the gravitational effects caused the experimental Euler load to be less than predicted from linear viscoelasticity theory, while at higher carbon black loadings, the carbon black structure led to higher Euler loads than predicted.


2002 ◽  
Vol 55 (4b) ◽  
pp. 349-364 ◽  
Author(s):  
John M. Pearce ◽  
David N. George

In two experiments pigeons received a complex negative patterning discrimination, using autoshaping, in which food was made available after three stimuli if they were presented alone (A, B, C), or in pairs (AB, AC, BC), but not when they were all presented together (ABC). Subjects also received a positive patterning discrimination in which three additional stimuli were not followed by food when presented alone (D, E, F), or in pairs (DE, DF, EF), but they were followed by food when presented together (DEF). Stimuli A and D belonged to one dimension, B and E to a second dimension, and D and F to a third dimension. For both problems, the discrimination between the individual stimuli and the triple-element compounds developed more readily than that between the pairs of stimuli and the triple-element compound. The results are consistent with predictions that can be derived from a configural theory of conditioning.


2017 ◽  
Vol 42 (2) ◽  
pp. e12477 ◽  
Author(s):  
Antonella M. A. Di Giuseppe ◽  
Rosita Russo ◽  
Sara Ragucci ◽  
Nicola Landi ◽  
Camilla Rega ◽  
...  

1991 ◽  
Vol 64 (2) ◽  
pp. 234-242
Author(s):  
R. F. Bauer ◽  
A. H. Crossland

Abstract Properties of the individual phases in a 70/30 carbon-black-loaded BR/NR blend could be successfully resolved using large deformation stress-strain modelling. Since the dispersed NR phase of the example had a lower modulus than the continuous BR phase, the interaction between the blend phases could be modelled by a simple parallel coupling arrangement. The stress behavior of each individual carbon-black-loaded polymer phase was then determined with respect to strain using a specially derived stress-strain relationship. The blend components also have to be characterized with respect to state-of-cure by empirically establishing how the parameters in the stress-strain relationship vary with respect to cure. The properties of the phases in the blend are then determined by finding the combination of component parameters which precisely reproduce the stress-strain behavior of the blend. In the demonstration example of this paper, there was evidence of a significant amount of curative migration between phases during the vulcanization process.


2020 ◽  
Vol 117 (40) ◽  
pp. 24652-24663 ◽  
Author(s):  
Vardan Papyan ◽  
X. Y. Han ◽  
David L. Donoho

Modern practice for training classification deepnets involves a terminal phase of training (TPT), which begins at the epoch where training error first vanishes. During TPT, the training error stays effectively zero, while training loss is pushed toward zero. Direct measurements of TPT, for three prototypical deepnet architectures and across seven canonical classification datasets, expose a pervasive inductive bias we call neural collapse (NC), involving four deeply interconnected phenomena. (NC1) Cross-example within-class variability of last-layer training activations collapses to zero, as the individual activations themselves collapse to their class means. (NC2) The class means collapse to the vertices of a simplex equiangular tight frame (ETF). (NC3) Up to rescaling, the last-layer classifiers collapse to the class means or in other words, to the simplex ETF (i.e., to a self-dual configuration). (NC4) For a given activation, the classifier’s decision collapses to simply choosing whichever class has the closest train class mean (i.e., the nearest class center [NCC] decision rule). The symmetric and very simple geometry induced by the TPT confers important benefits, including better generalization performance, better robustness, and better interpretability.


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