Numerical calculations locus

Equation 1.67 represents graphically in a coordinate system with the axes (a, r) a series of straight lines around the apex of the cone for the locus of constant 0 in conformity with the result of numerical integration of (1.64) [70]. In particular, the line of intersection between diabatic states corresponds to the locus Hu = H22 or 0 = ir/4 + kji/2. It thus follows that as 0 —> Jt/4, the intersection coincides precisely with axis r at a = 71.6°. At a complete rotation around the apex of the cone, the angle 0 increases from 0 to jt only. According to Equation 1.68, the closer the cross section lies to the apex of the cone, the sharper the Lorentzian. Therefore, Equation 1.68 correctly describes the nonradiative coupling matrix elements g(, well in accordance with the numerical calculations of the g-function cited above. 

Fig. 8.2 The Condon locus for the B-X band system of CN with simple harmonic potentials assumed for the upper and lower states. A Franck-Condon factor lies at each integer intersection. The curve is calculated from the numerical values given in the text. The tixis of the parabola mtikes an angle of 46.29° with the v" axis, and the length of the latus rectum is 0.129 v units. In what follows, this Condon parabola would be described as narrow ...

A better method for determining the cohesive and frictional effects of particles is by using a shear cell (48,51,52). There are various cell configurations, the most popular proposed by Jenike (51). In the Jenike cell (Fig. 13), a powder is loaded and then compressed by twisting the lid of the cell. The number of twists required to load the powder to the point at which the resistance to shear (measured as stress applied to ring around the bed) is constant. This phase of the test is known as shear consolidation. The load is reduced and the resistance to shear is then recorded. A yield locus of this shear stress vs. the reduced load is obtained and used to calculate various flow-related parameters (47,48,51). Numerous parameters can be... 

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