Cone apex angle

Seam-to-seam length above the cone Cone apex angle... 

By feeding the mixture through a converging nozzle, the velocity profile may be made nearly flat or uniform. A Bunsen flame in such a flow has a smaller range of stabiUty but the mechanism is essentially the same and the flame very closely approximates a cone. If the apex angle of the flame is , then S can be obtained from equation 21... 

Deep cones having a 70° apex angle are normally used in drill bits to give built-in stability and to obtain greater diamond concentration in the bit-cone apex. 

As the size of R3P increases so does the value of k. A popular method of assessing the size of R3P is by using Tolman s cone angle. This is the apex angle of the cone centered on P which just encloses the van der Waals radii of the outermost atoms of R3P. The data are shown in Table 2.3 for (2.134) in CO-saturated C2CI4 at 70°C (Ref. 124)... 

It is possible to translate these, in three dimensions, as the motion of a magnet of moment p in an applied magnetic field. The magnet axis becomes inclined to the field, precesses around it, and is defined as the Lamour precession. The half-apex angle of the cone equals 0 and the angular velocity is yBo, so that one finds equation 3.16 now rewritten as equation 3.20 ... 

Strohmeier showed that the IR carbonyl frequencies of metal complexes could be used as a measure of the electronic properties of the ligands [8]. Tolman introduced a systematic approach to describe electronic and steric ligand effects [9]. The electronic parameter / is based on the difference in the IR frequencies of Ni(CO)3L and the reference compound Ni(CO)3(P Bu3), similar to the method introduced by Strohmeier. For phosphorus ligands the cone angle 6 is defined as the apex angle of a cylindrical cone, centered at 2.28 A from the center of the P atom, which touches the outermost atoms of the model. 

The diffracted beams make an angle of 26 with the incident beam. Because the crystallites can lie in all directions while still maintaining the Bragg condition, the reflections lie on the surface of cones whose 5emr-apex angles... 

Absolute temperature Activation energy Shear activation volume Die exit velocity Distance from die cone apex Geometric factor Die semi-angle Intrinsic thermal expansivity... 

To describe steric effects, Tolman has defined the cone angle as the apex angle, 0, of a cone that encompasses the van der Waals radii of the outermost atoms of a ligand, as shown in Figure 14-1. Values of cone angles of selected ligands are given in Table 14-1. 

Fig. 5. Time evolutions of doubly normalized CODEX E(SNt,Jm)/E(J, ) curves, showing clear differences between simple jumps and diffusive motion (for a uniaxial interaction, tj=0). As indicated at the top, the line thickness decreases with increasing tjrc (=0.1,0.3, 1.0, 3.0, and 10). (a) Two- or three-site jumps, with a 109° (or equivalently 71°) jump angle. The shape of the normalized curves is the same at all mixing times, (b) Uniaxial rotational diffusion on a cone with an apex angle of 141° (or equivalently 2 x 109.5°). Characteristically for diffusive motions, the shape of the curves changes with tm.

The spots lying on any one curve are reflections from planes belonging to one zone. This is due to the fact that the Laue reflections from planes of a zone all lie on the surface of an imaginary cone whose axis is the zone axis. As shown in Fig. 3-7(a), one side of the cone is tangent to the transmitted beam, and the angle of inclination of the zone axis (Z.A.) to the transmitted beam is equal to the semi-apex angle of the cone. A film placed as shown intersects the cone in an... 

Figure 14.5 displays a conic section normal to the cones axis. The diffraction angle, which is half the cone opening angle, is given by Equation (14). All the coordinates are given in the cone coordinate system wherein z is the cone axis, and X and y describe the plane perpendicular to it. The position of the plane is at a distance D from the cone s apex along the cone axis ... 

P = design internal pressure, psi P = allowable external pressure, psi Px = design external pressure, psi R = outside radius of spheres and hemispheres, crown radius of torispherical heads, in, t = thickness of cylinder, head or conical section, in. t, = equivalent thickness of cone, in. oc = half apex angle of cone, degrees... 

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