Geometrical classification

It should be emphasized that the above shape group methods combine the advantages of geometry and topology. The truncation of the MIDCO s is defined in terms of a geometrical classification of points of the surfaces, and the truncated surfaces are characterized topologically by the shape groups. 

Obviously this naive classification is too simple to accommodate all known compounds, and because of its basis it has the disadvantage of prejudging the bond type. An essentially geometrical classification based on known crystal structures would, however, be of the same general type. Class (a) includes structures like those of complex oxides (see Table 17.9) but will tend to merge into class (c) as bond character changes from ionic to covalent or covalent-metallic. In class (a) the ions... 

In effect, the three entities are different gestalt classifications of a fixed assembly of atoms according to the relative positions of their nuclei. Each is then considered to have independent and different sets of quantum states of vibration and rotation—in complete contradiction of what quantum theory would really say about such an assembly of particles. The enumeration of these somewhat artificial "quantum states" of the separate geometric classifications forms the basis for a statistical calculation of rates of... 

In addition to this geometric classification, the flow can be classified as fully laminar (i.e., laminar over the entire body), fully turbulent (turbulent over the entire body), or laminar and... 

The characteristic geometrical classification for single-edge micro end mills is shown in Fig. 5. 

Figure 3.1 Geometrical classification of a halogen-- halogen interaction as Type I and Type II.

FIGURE 1.2 Geometric classification of 3D-MID [51] (Graphics courtesy of FAPS, TRW Automotive Safety Systems, HARTING Mitronics, Kromberg Schubert)... 

Allow for restrictions of the placement system with regard to geometric classification of the functional surfaces. 

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