Primes

REDUCED DIPOLE MOMENT PRIME. ALSO. REDUCED DIPOLE MOMENT IN EARLIER PART OF THE PROGRAM. EFFECTIVE NON-PQLAR ACENTRIC FACTOR. 

The determination of the elemental composition of a petroleum cut is of prime importance because it provides a quick means of finding out the quality of a given cut or determining the efficiency of a refining process. In fact, the quality of a cut generally increases with the H/C ratio and in all cases, with a decrease in hetero-element (nitrogen, sulfur, and metals) content. 

In the applications where the compactness of the energy conversion system is the determining factor as in the case of engines, it is important to know the quantity of energy contained in a given volume of the fuel-air mixture to be burned. This information is used to establish the ultimate relations between the nature of the motor fuel and the power developed by the motor it is of prime consideration in the development of fuels for racing cars. 

Odor is of prime importance because a petroleum solvent is often used in closed rooms moreover, the idea of odor is tied instinctively in the public image to toxicity. Odor is a function of the solvent s composition and volatility. Generally, the paraffin hydrocarbons are less odorous while the aromatics are more so. 

A detailed study of the properties of the potential products is of prime technical and economic importance, because it allows the refiner to have a choice in selecting feedstocks for his different units for separation, transformation and conversion, to set their operating conditions, in order to satisfy the needs of the marketplace in the best ways possible. 

The field development plan s prime purpose is to serve as a conceptual project specification for subsurface and surface facilities, and the operational and maintenance philosophy required to support a proposal for the required investments. It should give management and shareholders confidence that all aspects of the project have been... 

The prime global authority is the International Maritime Organisation. The IMO sets the standards and guidelines for the removal of offshore installations. The guidelines specify that installations in less than 75 meters of water with substructures weighing less than 4,000 tons be completely removed from the site. Those in deeper water must be removed to a depth of 55 meters below the surface so that there is no hazard to navigation. In some countries the depth to which structures have to be removed has already been extended to 100m. 

On the other hand, the NDT service business has evolved towards a more open market, in which the prime contractor requires a transparent access to the data provided by the supplier, in order to ensure the comparison of data obtained from different sources and at different periods of time. Existing fomiats are most of the time proprietary formats released by instrument manufacturers, generally dealing with a unique NDT method and not including complementary information on the acquisition consequently, they fail to meet these requirements. 

This presentation will not attempt to present all these projects, but instead focus on the ongoing network activities and the available sources for further information through the Commission s information services, with the CORDIS database being the prime source of information (see details at the end of the paper). 

A prime task of the company carrying out NDT is the organisation of management of its network of processes and their interaction. The firm shall create, improve and maintain constant quality with the aid of this network of processes (Figure 2). In ISO 9000-1 this is considered to be the fundamental conceptional basis of ISO 9000. 

The primes and subscripts on the /s refer to their velocity arguments, and the primed velocities in the gain tenn should be regarded as fiinctions of the imprimed quantities according to (A3.1.36). It is often convenient to rewrite the integral over the impact parameter and the azimuthal angle as an integral over the unit vector kas... 

Here the ijk coordinate system represents the laboratory reference frame the primed coordinate system i j k corresponds to coordinates in the molecular system. The quantities Tj, are the matrices describing the coordinate transfomiation between the molecular and laboratory systems. In this relationship, we have neglected local-field effects and expressed the in a fomi equivalent to simnning the molecular response over all the molecules in a unit surface area (with surface density N. (For simplicity, we have omitted any contribution to not attributable to the dipolar response of the molecules. In many cases, however, it is important to measure and account for the background nonlinear response not arising from the dipolar contributions from the molecules of interest.) In equation B 1.5.44, we allow for a distribution of molecular orientations and have denoted by () the corresponding ensemble average ... 

In this equation, the primes on the imaginary parts indicate that the Lamior frequencies and coupling constants will be different. Also, if the equilibrium constant for the exchange is not 1, then the forward and reverse rates will not be equal. Note that the 1,2 block, in the top right, represents the rate from site 2 into site 1. 

Prime K L and Whitesides G M 1991 Self-assembled organio monolayers—model systems for studying adsorption of proteins at surfaoes Science 252 1164-7... 

Pale-Grosdemange C, Simon E S, Prime K L and Whitesides G M 1991 Formation of self-assembled monolayers by ohemisorption of derivatives of oligo(ethylene glyool) of struoture FIS(CFl2),, (OCFl2CFl2)meta-OFI on gold J. Am. Chem. Soc. 113 12-20... 

The importance of laser light, in brief, is tliat its base characteristics, coherence, spectral and polarization purity, and high brilliance allow us to manipulate its properties. Gain switching [i, 10] and mode locking [16] are prime examples of our ability to very specifically control tire laser output. It is easy to see why lasers are tire ideal sources for optoelectronic applications. 

Here, f/ei is the electionic Hamiltonian including the nuclear-nuclear repulsion terms, Pji is a Caitesian component of the momentum, and Mi the mass of nucleus /. One should note that the bra depends on z while the ket depends on z and that the primed R and P equal their unprimed counterparts and the prime simply denotes that they belong to the bra. 

All organisms seem to have an absolute need for magnesium. In plants, the magnesium complex chlorophyll is the prime agent in photosynthesis. In animals, magnesium functions as an enzyme activator the enzyme which catalyses the ATP hydrolysis mentioned above is an important example. 

In numerous cases an atomically detailed picture is required to understand function of biological molecules. The wealth of atomic information that is provided by the Molecular Dynamics (MD) method is the prime reason for its popularity and numerous successes. The MD method offers (a) qualitative understanding of atomic processes by detailed analysis of individual trajectories, and (b) comparison of computations to experimental data by averaging over a representative set of sampled trajectories. 

Extending time scales of Molecular Dynamics simulations is therefore one of the prime challenges of computational biophysics and attracted considerable attention [2-5]. Most efforts focus on improving algorithms for solving the initial value differential equations, which are in many cases, the Newton s equations of motion. 

We consider the computation of a trajectory —X t), where X t) is a vector of variables that evolve in time —f. The vector includes all the coordinates of the particles in the system and may include the velocities as well. Unless specifically indicated otherwise X (t) includes coordinates only. The usual way in which such vectors are propagated numerically in time is via a sequence of short time solutions to a differential equation. One of the differential equations of prime concern is the Newton s equation of motion ... 

Ferrocene Figure 2-47) provides a prime ex.ample of multi-haptic bonds, i.e, a situation where the electrons that coordinate the cyclopentadienyl rings with the iron atom arc contained in molecular orbitals delocalised over the iron atom and the 10 carbon atoms of the cyclopentadienyl rings [82. ... 

Benzene has already been mentioned as a prime example of the inadequacy of a connection table description, as it cannot adequately be represented by a single valence bond structure. Consequently, whenever some property of an arbitrary molecule is accessed which is influenced by conjugation, the other possible resonance structures have to be at least generated and weighted. Attempts have already been made to derive adequate representations of r-electron systems [84, 85]. 

Ferrocene (Figure 2-61a) has already been mentioned as a prime example of multi-haptic bonds, i.c, the electrons tlrat coordinate tire cyclopcntadicnyl rings with the iron atom are contained in a molecular orbital delocalized over all 11 atom centers [811, for w hich representation by a connection table having bonds between the iron atom and the five carbon atoms of cither cyclopcntadicnyl ring is totally inadequate. 

It then remains only to translate from the primed variables associated with the pseudo mixture to the unprimed variables associated with the gas. For this purpose let us first combine the first two terms on the right hand side of (3.5), writing... 

The prime on the first summation indicates that the series does not include the interaction i = / for n = 0. 

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