Common intersection point independent of mole fraction: A new regularity

1997 ◽  
Vol 18 (6) ◽  
pp. 1517-1526 ◽  
Author(s):  
E. K. Goharshadi ◽  
A. Boushehri
2004 ◽  
Vol 113 (1-3) ◽  
pp. 133-141 ◽  
Author(s):  
Elaheh K. Goharshadi ◽  
Alireza Naseri Mood

2020 ◽  
Vol 2 (2) ◽  
pp. 70-77
Author(s):  
Igor Povar ◽  
◽  
Oxana Spinu ◽  
Boris Pintilie

Aqueous polynuclear systems have been analyzed, for which the family of formation curves intersects at a common point. The analyzed graphical and computational method for determining the stability constants can be used as initial values within the iterative calculation process. In some cases, the stability constants are calculated using only the coordinates of the common intersection point. The obtained equations could be of special interest when the experimental data can be interpreted in several models. In these cases, given the large volume of experimental data, the calculation is simple and the model can certainly be chosen with high safety. The obtained equations may also be applied for critical evaluation of tabular data if the coordinates of the intersection point are known. A series of real polynuclear systems have been analyzed and useful conclusions have been made.


Author(s):  
Peregrine E. J. Riley

Abstract Many manipulators with six degrees of freedom are constructed with two distinct sections, a regional structure for spatial positioning, and an orientational structure having a common intersection point for the joint axes. With this arrangement, inverse kinematic solutions for position and orientation may be found separately. While solutions for general three link manipulators have been available since the work of Pieper in 1969, this paper presents new forms of the inverse kinematic equations for general RRP and RRR regional structures. Cartesian coordinates of the F-surface (generated by movement of the outer two joints) together with the outer joint angle are used as the equation variables. In addition, a second degree polynomial approxiamation of the equation may be used for quick iteration to a solution. It is hoped that these new equations will be useful by themselves and in workspace regions where solutions using equations in terms of the joint variables are numerically inaccurate or impossible.


1976 ◽  
Vol 36 (1) ◽  
pp. 15-22 ◽  
Author(s):  
M. Kirchgessner ◽  
M. G. Beyer ◽  
H. Steinhart

1. Kinetic experiments were done with pepsin (EC 3.4.4.1) using haemoglobin as a substrate in the presence of different metal cations.2. The activation of peptic hydrolysis with higher concentrations of cupric ions added to the reaction mixture was determined from turnover-rate curves in experiments with constant substrate concentration. With a Cu2+ concentration greater than 1.67 × 10-4M activation was obtained3. Nickel ions at a concentration of 8.33 × 10-4 M and at higher concentrations also increased pepsin activity. Additions of ferrous ions and zinc ions had no effect.4. Experiments were done using variable substrate concentrations in the presence of different Cu2+ concentrations. The concentrations of haemoglobin ([S]) at half maximum velocity were determined. The double-reciprocal plots of [S] v. reaction velocity (v) (i.e. I/[S] v. I/v) had no common intersection point. Therefore the kinetics did not correspond to any of the known kinetics. The activation brought about by Cu2+ cannot easily be explained by the study of the kinetics. Certain simple explanations of the phenomenon can be eliminated.


Author(s):  
B.C. Muddle ◽  
G.R. Hugo

Electron microdiffraction has been used to determine the crystallography of precipitation in Al-Cu-Mg-Ag and Al-Ge alloys for individual precipitates with dimensions down to 10 nm. The crystallography has been related to the morphology of the precipitates using an analysis based on the intersection point symmetry. This analysis requires that the precipitate form be consistent with the intersection point group, defined as those point symmetry elements common to precipitate and matrix crystals when the precipitate crystal is in its observed orientation relationship with the matrix.In Al-Cu-Mg-Ag alloys with high Cu:Mg ratios and containing trace amounts of silver, a phase designated Ω readily precipitates as thin, hexagonal-shaped plates on matrix {111}α planes. Examples of these precipitates are shown in Fig. 1. The structure of this phase has been the subject of some controversy. An SAED pattern, Fig. 2, recorded from matrix and precipitates parallel to a <11l>α axis is suggestive of hexagonal symmetry and a hexagonal lattice has been proposed on the basis of such patterns.


2007 ◽  
Vol 5 ◽  
pp. 145-150
Author(s):  
I.V. Golubkina

The effect of the aerodynamic focusing of inertial particles is investigated in both symmetric and non-symmetric cases of interaction of two plane shock waves in the stationary dusty-gas flow. The particle mass concentration is assumed to be small. Particle trajectories and concentration are calculated numerically with the full Lagrangian approach. A parametric study of the flow is performed in order to find the values of the governing parameters corresponding to the maximum focusing effect.


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