Acceptable representations

There is not a universally accepted representation of dioxygen s intramolecular electron distributiom... 

The pairs of log and C that yielded quite acceptable representations of the data are shown by the symbols on Figure 7. The agreement between the symbols and the smooth curve in Figure 7 support the validity of the approach of Method II, and the insight that is gained from this approach. 

Scheme 9. Generally accepted representations of the metal-carbon bond of metal coordinated NHCs.

If a one-dimensional representation has complex characters a, 6, c,. .. then there must be another equally acceptable representation with the characters a, b, c, . .. since for a one-dimensional representation the character of an operation equals the single matrix element representing the operation. These pairs are usually bracketed together and labeled Et In fact quite often the reduction which produces the pair of irreducible representations is not carried out, since no useful information is gained by it and anyway the two always occur together. 

Since then, the depletion of ions from the air/water interface became the commonly accepted representation of the surface tension of electrolyte solutions. However, this common picture is not always true near a charged interface, there is an accumulation of counterions, predicted by the Poisson—Boltzmann treatment, which at very low electrolyte concentrations (less than 1CT3 M) can dominate the interfacial depletion of ions due to ion hydration forces,6 and consequently, the surface tension of aqueous electrolytes can decrease with increasing ionic strength (The Jones-Ray effect).7 Even more significant, the surface tension of acids decreases with increasing... 

It is difficult to know exactly how to draw the bonding in metal complexes and there are often several different acceptable representations. There is no problem when the metal forms a a bond to atoms such as Cl or C as the simple line we normally use for covalent bonds means exactly what it says. The problems arise with ligands that... 

A suitable choice of parameters is a — 18.00, b 19.57, and r =- 1.227. That this equation provides an acceptable representation of the miccllisation phenomenon may be shown in the following way. 

For simpler representation on paper, it is more covenient to think of the four bonds, which unite the four different substituents to the carbon atom, as proceeding from the centre of the atom but to the same comers as in 12.5) to 12.7). Then 12.10) becomes an acceptable representation of one of the enantiomers of lactic acid, and 12.11) of the other. The wedges imply that the atoms at their broad edges are above the plane of the paper and those at the end of the lines of the dashes are below [ 12.10) is presented in the same aspect as 12.6) In a crowded molecule, or for speed of handwriting, the wedges may be replaced by thick lines as in 7.11) but the dashes should not be replaced by three dots, the symbol for a hydrogen bond. 

The preparation of a triozonide of benzene by Harries supported Kekule s formula with three double bonds. It is only recently that what is believed to be an acceptable representation of the structure of benzene has been achieved it involves the formulae which are discussed in this place (see p. 966). 

Figure 6.6 Acceptable representation of the enthalpy of vaporization of acetic acid after the simultaneous fit.

The observed patterns contradict the generally accepted representations of the mechanism of polymer oxidation in the presence of amines and phenols, according to which the radical leading the chain is a peroxide radical, while inhibition of the process is accomplished as a result of the reaction of this radical with an inhibitor molecule. Although in the free autocatalytic oxidation of low-molecular hydrocarbons at moderate... 

By convention, the most convenient and generally accepted representation of melt viscosity is the melt index , which is the amount of polymer flowing through a standard capillary viscosimeter at 190°C under a 2.16-kg load for 10 min (ASTM... 

The method for spectrum decomposition proposed above is certainly not unique, and other criteria and threshold values could be invoked. Besides that, it depends on the approximate validity of a few hypotheses. First, we assume the adequacy of CIS wavefunctions to describe the electronic density. Second, we also assume that the usage of time-dependent DPT amplitudes together with Kohn-Sham orbitals results in an acceptable representation of the CIS wavefunction. Third, we assume that the density partition among the units is uniquely defined, even though the molecular orbitals (Kohn-Sham or Hartree-Fock) are not unique and the MuUiken partition employed is somewhat arbitrary. Due to all these factors, we should take the decomposition as a qualitative analysis of the several contributions to each band, rather than an exact numerical analysis. 

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