Restrictive interpretation

The spectator electrons approximation (SEA) puts the most restrictive interpretation on the nature of a single electron excitation. What we suppose is that only one electron is involved in a transition, and that all the others act as spectators, i.e. that they do not change their properties in any way as a result of the transition. Although it is actually quite rare that this approximation works completely, it provides a good starting point, and can be considered as yet another kind of propensity rule (cf section 4.2), which reduces the number of strong transitions in a spectrum below the number allowed by the usual selection rules. 

More results for tn5-(phosphine) complexes, particularly for the meridianal isomers, would be a valuable aid to the interpretation of W-P coupling constants. We noted earlier (p. 368) that, for a given ligand, the couplings in these compounds may depend mainly on the trans ligand, and if this proves to be correct, the results of Table VIII suggest that in octahedral complexes this is unlikely to arise from the dominance of 7t-interactions. Until more results are available, it may be best to restrict interpretation to comparisons between complexes of the same microsymmetry (Section IV.C.8). 

These two definitions of a biomaterial are open to interpretation. The more restrictive interpretation limits the concept of biomaterials to structural materials only, but to the global scientific community, so Umited an interpretation is not generally accepted. A broader interpretation also includes materials, especially polymers, used as components of systems for the controlled release of drugs. 

Such a policy of pinpricks means not to support, but to disturb an effective procedure. E.g. those pinpricks may be obtained by an extreme restrictive interpretation of rules, so that an optimization progress becomes nearly impossible. 

As a first step in the direction outlined here some manufacturers and BAM last year discussed the problems and the possible procedures of such a system of quality assurance. As a result of this meeting round robin tests for the harmonization of the measurements of film system parameters and a possible procedure of surveillance of the quality of film systems were proposed. Closely related to these the BAM offers to perform the classification of film systems. But as during the production of films variations of the properties of the different batches cannot be avoided, the results of measurements of films of a single batch will be restricted to this charge, while only the measurements and mean of several batches of a film type will give representative values of its properties. This fact is taken into account already in section 4 of the standard EN 584-1 which can be interpreted as a kind of continuous surveillance. In accordance with this standard a film system caimot be certified on the base of measurements of a single emulsion only. 

For those who are familiar with the statistical mechanical interpretation of entropy, which asserts that at 0 K substances are nonnally restricted to a single quantum state, and hence have zero entropy, it should be pointed out that the conventional thennodynamic zero of entropy is not quite that, since most elements and compounds are mixtures of isotopic species that in principle should separate at 0 K, but of course do not. The thennodynamic entropies reported in tables ignore the entropy of isotopic mixing, and m some cases ignore other complications as well, e.g. ortho- and para-hydrogen. 

The long term behavior of any system (3) is described by so-called invariant measures a probability measure /r is invariant, iff fi f B)) = ft(B) for all measurable subsets B C F. The associated invariant sets are defined by the property that B = f B). Throughout the paper we will restrict our attention to so-called SBR-measures (cf [16]), which are robust with respect to stochastic perturbations. Such measures are the only ones of physical interest. In view of the above considerations about modelling in terms of probabilities, the following interpretation will be crucial given an invariant measure n and a measurable set B C F, the value /r(B) may be understood as the probability of finding the system within B. 

Several alternative attempts have been made to quantify Lewis-acid Lewis-base interaction. In view of the HSAB theory, the applicability of a scale which describes Lewis acidity with only one parameter will be unavoidably restricted to a narrow range of struchirally related Lewis bases. The use of more than one parameter results in relationships with a more general validity ". However, a quantitative prediction of the gas-phase stabilities of Lewis-acid Lewis-base complexes is still difficult. Hence the interpretation, not to mention the prediction, of solvent effects on Lewis-add Lewis-base interactions remains largely speculative. 

Studies of shock-compressed matter have progressed to a point for which detailed, sophisticated technology can probe mechanical responses in considerable detail. The detailed measurements now available appear to provide descriptions beyond that which can be predicted or fully interpreted on an established theoretical basis. As the conditions encountered are so unusual, a heavy reliance must be placed on the credibility of the experiments. Of particular importance is a recognition of the restricted view provided by a particular experiment, from both loading and sample response capabilities. 

The standard doesn t require a procedure for Management Review and while it does require procedures for Design Control it does not specify that a Design Review Procedure is required. The phrases consistent with and in accordance with have the same meaning as both imply compatibility and agreement. If you restrict yourself to a literal interpretation of the standard, you need produce no more than 43 documented procedures - possibly less if some aspects do not apply to your business. You can combine several procedures in one document, the size of which depends on the complexity of your business. The more complex the business the greater the number of quality system documents. The more variations in the ways that work is executed, the larger the quality system will need to be. If you have a small business and only one way of carry-... 

A basis set is a mathematical representation of the molecular orbitals within a molecule. The basis set can be interpreted as restricting each electron to a particular region of space. Larger basis sets impose fewer constraints on electrons and more accurately approximate exact molecular orbitals. They require correspondingly more computational resources. Available basis sets and their characteristics are discussed in Chapter 5. 

So far there have not been any restrictions on the MOs used to build the determinantal trial wave function. The Slater determinant has been written in terms of spinorbitals, eq. (3.20), being products of a spatial orbital times a spin function (a or /3). If there are no restrictions on the form of the spatial orbitals, the trial function is an Unrestricted Hartree-Fock (UHF) wave function. The term Different Orbitals for Different Spins (DODS) is also sometimes used. If the interest is in systems with an even number of electrons and a singlet type of wave function (a closed shell system), the restriction that each spatial orbital should have two electrons, one with a and one with /3 spin, is normally made. Such wave functions are known as Restricted Hartree-Fock (RHF). Open-shell systems may also be described by restricted type wave functions, where the spatial part of the doubly occupied orbitals is forced to be the same this is known as Restricted Open-shell Hartree-Fock (ROHF). For open-shell species a UHF treatment leads to well-defined orbital energies, which may be interpreted as ionization potentials. Section 3.4. For an ROHF wave function it is not possible to chose a unitary transformation which makes the matrix of Lagrange multipliers in eq. (3.40) diagonal, and orbital energies from an ROHF wave function are consequently not uniquely defined, and cannot be equated to ionization potentials by a Koopman type argument. 

The main value of salt-spray tests is in the evaluation of the effectiveness of phosphate coatings in restricting the spread of rust from scratches or other points of damage in a paint film. This feature is of particular interest to the motorcar industry, as vehicles are often exposed to marine atmospheres and to moisture and salt when the latter is used to disperse ice and frost from road surfaces. Great care is needed in the interpretation of a salt-spray test, as it has been found to favour thin iron phosphate coatings more than is justified by experience with natural weathering. In the motorcar industry the present custom is to use zinc phosphate coatings on the car bodies and all other parts exposed to the outside atmosphere. 

Spatial congruence of C-H graphs is applied essentially only in chemical formulas which represent a compound of carbon atoms and atoms of valence 1 (or radicals of valence 1). In this case condition (IV), besides (I), (II), (III), adds another restriction not only the relationships are important but also the spatial arrangement of the bonds. The spatial interpretation of the congruence of C-H graphs coincides with the interpretation of the chemical formula as stereoformula. I use stereoisomers in this sense. For example, the number of different stereoisomers is equal to the number of spati-... 

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