PROBABLE DISTRIBUTION OF LOAD AND STRENGTH OF PARTS FOR DISC Sawing Machine

In this work, we showed that metal salts were easily deposited as aggregates (e.g., ultrathin planar microcrystals) on the surface of TiO 2- gel films in the absence of ion-exchange sites. In contrast, metal ions were efficiently incorporated into ultrathin TiO 2- gel films, when ion-exchange sites were created using Mg ( O - Et )2 as template. A variety of metal ions, including those of main group, transition, and lanthanide elements were successfully doped into TiO 2 thin films by the current approach. Probable distribution of the ion-exchange site in the film interior was discussed.

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THE ADSORPTION OF ARGON ON SOME VACUUM DEHYDRATED SALTS

Canadian Journal of Chemistry ◽

10.1139/v55-033 ◽

1955 ◽

Vol 33 (2) ◽

pp. 286-297 ◽

Cited By ~ 13

Author(s):

H. W. Quinn ◽

R. W. Missen ◽

G. B. Frost

Keyword(s):

Water Vapor ◽

Crystalline State ◽

Capillary Structure ◽

X Ray ◽

Effect Of Water ◽

Probable Distribution ◽

Vacuum Dehydration ◽

Low Pressures ◽

Amorphous Character

Isotherms for the adsorption of argon on amorphous products formed by the vacuum dehydration of several hydrated salts have been determined. These have shown that the adsorption is physical and that dehydration results in the formation of products of large capillary volume. The probable distribution of capillary diameters has been estimated and correlated with the effect of water vapor at low pressures in catalyzing the crystallization of the amorphous intermediates. Consideration of these findings, in the light of data for the heats of transition from the amorphous to the crystalline state, suggests that the X-ray amorphous character is not entirely due to the capillary structure but that other changes occur. The possible nature of these is discussed.

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THE TEMPERATURE-DEVELOPMENT CURVE OF LYPEROSIA EXIGUA DE MEIJERE (DIPTERA, MUSCIDAE) IN RELATION TO THE PROBABLE DISTRIBUTION OF THIS INSECT IN AUSTRALIA

Australian Journal of Experimental Biology and Medical Science ◽

10.1038/icb.1937.12 ◽

1937 ◽

Vol 15 (2) ◽

pp. 113-120 ◽

Cited By ~ 2

Author(s):

J Davidson

Keyword(s):

Probable Distribution ◽

Temperature Development

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Application of Boltzmann Statistical Mechanics in the Validation of the Gaussian Summit-Height Distribution in Rough Surfaces

Journal of Tribology ◽

10.1115/1.2833895 ◽

1997 ◽

Vol 119 (4) ◽

pp. 846-850 ◽

Cited By ~ 5

Author(s):

M. Leung ◽

C. K. Hsieh ◽

D. Y. Goswami

Keyword(s):

Surface Roughness ◽

Statistical Mechanics ◽

Theoretical Basis ◽

Rough Surfaces ◽

Electrical Contact ◽

Height Distribution ◽

Probable Distribution ◽

Theoretical Predictions ◽

Most Probable Distribution ◽

Roughness Measurements

In theoretical modeling of contact mechanics, a homogeneously, isotropically rough surface is usually assumed to be a flat plane covered with asperities of a Gaussian summit-height distribution. This assumption yields satisfactory results between theoretical predictions and experimental measurements of the physical characteristics, such as thermal/electrical contact conductance and friction coefficient. However, lack of theoretical basis of this assumption motivates further study in surface modeling. This paper presents a theoretical investigation by statistical mechanics to determine surface roughness in terms of the most probable distribution of surface asperities. Based upon the surface roughness measurements as statistical constraints, the Boltzmann statistical model derives a distribution equivalent to Gaussian. The Boltzmann statistical mechanics derivation in this paper provides a rigorous validation of the Gaussian summit-height assumption presently in use for study of rough surfaces.

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