Resulting diagrams

The two variables change their role with respect to their dependent versus independent, intensive versus extensive nature. This is also true of e.g. calorimetric, conductometric and spectrophotometric titrations using UV-, IR- or NMR-spectrosco-py We additionally have to consider that in the titration of the catalytic process only the external dynamics are measured a direct comparison with the actual metal fraction of the related intermediate complexes is generally not possible We call this analysis of homogeneous catalytic systems by a metal-ligand titration the method of inverse titration and for the resulting diagrams we use the term li nd-concentration control maps ([L]-control maps) . 

In the Cole-Cole (or complex impedance ) plot, one takes the real as ordinate and the Zimag part as abscissa. Each point on the resulting diagram is made up of a Z resolved into two components measured at a chosen frequency. There may be 20-30 points, each at different frequencies. Such plots tend to be semicircles (see Fig. 7.47), but even simple equivalent circuits have some structure (i.e., deviations from the semicircle), and these deviations provide information concerning events at the elec-trode/solution interface. 

This relation holds for strains up to 300 or 500 % (A = 4 to 6) with even higher strains some chain parts may approach their fully stretched conformations moreover crystallization may occur. In both cases the slope of the stress-strain curve increases. In Figure 5.3 the resulting diagram is schematically presented. 

While orientation normally imparts topological chirality, as in the case of the Hopf link, this is not always the case. For example, the Borromean link remains amphicheiral even after orientation.115- 119 This is easily demonstrated with reference to the 5), presentation of the nonoriented link [Figure 27(b)] No matter in which direction the three rings are oriented, the resulting diagram remains centrosymmetric and therefore rigidly achiral. 

A horizontal plane passed through Fig. 12.1 perpendicular to the P axis is identified by HIJKLH. Viewed from the top, the lines on this plane represent a Txy diagram similar to that of Fig. 10.2. When lines for several pressures are projected on a parallel plane, the resulting diagram appears as in Fig. 12.3. This... 

To construct the total MO diagram for the B2 molecule, we make the assumption that the 2s and 2p orbitals combine separately (in other words, there is no 2s-2p mixing). The resulting diagram is shown in Fig. 14.38. Note that B2 has six valence electrons. (Remember that the Is orbitals and electrons are assumed not to participate in the bonding.) This diagram predicts a bond order of 1 ... 

The temperatures of thermal arrests are plotted as a function of composition in Figure 1. The lines have been drawn to suggest the location of equilibrium phase boundaries, and the best interpretation of the thermal analysis data. The resulting diagram is characteristic of a system exhibiting solid solubility with a minimum melting point and a solid-miscibility gap. 

FIGURE 2.13 (cont d). An equatorial plane (plane of projection) is selected, and the points where these lines to the pole touch the equatorial plane are noted (labeled 1 to 5), (c) The points of intersection with the equatorial plane are joined by lines or arcs, (d) The resulting diagram, viewed on the equatorial plane, shows the symmetry of the crystal, cubic in this case, (Courtesy Ernest E. Wahlstrom and John Wiley Sons, Inc. From Wahlstrom, E. E. Optical Crystallography. 5th edn, John Wiley New York, Chichester, Brisbane, Toronto (1979). John Wiley Sons, Inc.)... 

Rule 1. Juxtapose antisymmetrized versions of all component diagrams, representing operators of the matrix element in question, to form all possible time-ordered, topologically distinct, nonvanishing, connected, canonical resulting diagrams. 

Rule 3. Determine the prefactor for each resulting diagram by multiplying the phase factor and the weight of the diagram ... 

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