Symmetry influence

Molecular shape (particularly symmetry) influences absorption (Medved and Kundiev, 1964). 

In contrast to this ever-nearer dead-end for the direct investigation of ejaculates, the possibilities for investigating the way that testis size and symmetry influence male (and, for symmetry, female) reproductive strategy at different stages of their lives seem to be widening. There is still much more to discover about human copulation, masturbation and infidelity than is discussed in this interim description of the state-of-the-art. 

Phenyl-functionalized silicate mesophases with hexagonal or cubic symmetries influence of synthesis parameters. 

Both the number of atoms and the degree of symmetry influence the increase in information content. In practice, for molecules with the same number of atoms, the information content increases with decrease in symmetry for example, molecules with symmetry groups Q or Cs have the largest information content. 

One of the group orbitals on the terminal hydrogens also has Ag symmetry. The interaction of this group orbital with the other orbitals of Ag symmetry influences the energy and shape of the Ug molecular orbitals shown in Figure 8.13, and generates a fourth, antibonding Og molecular orbital (not shown). 

Symmetry influences a range of physical properties. Selecting structures with specific symmetry yields candidates with certain properties. Calculation of additional parameters from the atomic coordinates allows one to predict for example ferroelectricity, piezoelectricity or optical rotatory power. ... 

This mutual exclusion rule for molecules with a center of symmetry is one example of the manner in whieh symmetry within a molecule can influence the selection rules for vibrational spectroscopy. All elements of symmetry influence the selection rules. The selection rules can be evaluated by using the structural models of the molecules, and the proper structural model for a molecule can be determined by comparing the experimental results with the theoretical resrrlts. This approach to structure determination has been a valuable tool for the study of the various geometric structures of low-molecular-weight substances. This approach can also be used in the study of polymer conformation. 

The point-charge electrostatic model is useful in illustrating how symmetry influences the signs of the crystal field parameters B. However, it does not usually result in accurate determinations of their magnitude and therefore other methods have been developed that lead to a better estimation. One such approach is based on the angular overlap model AOM developed and expanded to the/elements by Jprgensen [45]. Another approach is the simple overlap model SOM, proposed by Malta [46]. 

The second influence must be separated clearly from the first to achieve reliable results. This can be done in the most practical cases using symmetry axes of the object, where the geometrical influence is small eompared to the real wall thickness change. 

Several groups have studied the structure of chiral phases illustrated in Fig. IV-15 [167,168]. These shapes can be understood in terms of an anisotropic line tension arising from the molecular symmetry. The addition of small amounts of cholesterol reduces X and produces thinner domains. Several studies have sought an understanding of the influence of cholesterol on lipid domain shapes [168,196]. 

Let us now turn to the influence of vibrations on exchange chemical reactions, like transfer of hydrogen between two O atoms in fig. 2. The potential is symmetric and, depending on the coupling symmetry, there are two possible types of contour plot, schematically drawn in fig. 17a, b. The O atoms participate in different intra- and intermolecular vibrations. Those normal skeleton... 

It is particularly interesting to consider the influence of the substituents R and Rj in diphenylol alkanes of the type shown in Figure 20.12. Such variations will influence properties because they affect the flexibility of the molecule about the central C-atom, the spatial symmetry of the molecule and also the interchain attraction, the three principal factors determining the physical nature of a high polymer. 

Considering the changes of E upon fi for different values of the parameters, Villain has concluded that imperfections in the surface structure may have a very strong influence on the behavior of incommensurate phases and on the C-IC transition. The usual lowering of symmetry during the C-IC transition does not occur here and the nature of the C-IC transition may be quite different from that on the surface free of defects. 

The properties of the periodic surfaces studied in the previous sections do not depend on the discretization procedure in the hmit of small distance between the lattice points. Also, the symmetry of the lattice does not seem to influence the minimization, at least in the limit of large N and small h. In the computer simulations the quantities which vary on the scale larger than the lattice size should have a well-defined value for large N. However, in reality we work with a lattice of a finite size, usually small, and the lattice spacing is rather large. Therefore we find that typical simulations of the same model may give diffferent quantitative results although quahtatively one obtains the same results. Here we compare in detail two different discretization... 

The physical significance of 1/ab is that it represents the work done in bringin up (2b from infinity to the point whose position vector is Tb, under the influenc of (2a which is fixed at Ta- Because of the symmetry of the expression, it als represents the work done in bringing up point charge (2a from infinity to th point with vector position Ta, under the influence of point charge Qb which fixed in space at position Tb-... 

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