A prototype

The expression for the magnetisation and the magnetic susceptibility can be derived in two ways, as follows. 

The exact derivation utilises the energy levels written as 

It determines the magnetisation and the differential magnetic susceptibility according to the equations 

An approximate derivation utilises the van Vleck equation in which the van Vleck coefficients occur 

However, one can shift the energy origin arbitrarily and thus the coefficient e-0) can be substituted for 

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A prototype is currently under evaluation by our partners in the Raysquins project and first results are very encouraging. 

A prototype system was manufactured to measure eccentricity values for such tubes in a production line. 

Measurement at 500 m/min was considered so promising that it was decided to manufacture and test a prototype for the four channel scanning system. In such a system multiplexing of signals from the four transducers to one ultrasonic instrument was a possibility. Alternatively four independent instruments (one for each transducer) could be used in the scanning system. 

Meier C and Engel V 1995 Pump-probe ionization spectroscopy of a diatomic molecule sodium molecule as a prototype example Femtosecond Chemistry Proc. Berlin Conf Femtosecond Chemistry (Berlin, March 1993) (Weinheim Verlag Chemie)... 

The H + NO2 OH + NO reaetion provides an exeellent example of the use of laser fluoreseenee deteetion for the elueidation of the dynamies of a ehemieal reaetion. This reaetion is a prototype example of a radieal-radieal reaetion in that the reagents and produets are all open-shell free radieal speeies. Both the hydroxyl and nitrie oxide produets ean be eonveniently deteeted by eleetronie exeitation in the UV at wavelengths near 226 and 308 mn, respeetively. Atlases of rotational line positions for the lowest eleetronie band systems of these... 

Generalizing on [12], we construct a loop by using a sequence of three elementary reactions. It is emphasized that the reactions comprising the loop must be elementary ones There should not be any other spin pairing combination that connects two anchors. This ensures that the loop in question is indeed the smallest possible one. Inspection of the loops depicted in Figure 4 shows that the H3 and H4 systems are entirely analogous. We include the H3 system in order to introduce the coordinates spanning the plane in which the loop lies, and as a prototype of all three-electron systems. 

Electi ocyclic reactions are examples of cases where ic-electiDn bonds transform to sigma ones [32,49,55]. A prototype is the cyclization of butadiene to cyclobutene (Fig. 8, lower panel). In this four electron system, phase inversion occurs if no new nodes are fomred along the reaction coordinate. Therefore, when the ring closure is disrotatory, the system is Hiickel type, and the reaction a phase-inverting one. If, however, the motion is conrotatory, a new node is formed along the reaction coordinate just as in the HCl + H system. The reaction is now Mdbius type, and phase preserving. This result, which is in line with the Woodward-Hoffmann rules and with Zimmerman s Mdbius-Huckel model [20], was obtained without consideration of nuclear symmetry. This conclusion was previously reached by Goddard [22,39]. 

Methylbutynol. 2-Methyl-3-butyn-2-ol [115-19-5] prepared by ethynylation of acetone, is the simplest of the tertiary ethynols, and serves as a prototype to illustrate their versatile reactions. There are three reactive sites, ie, hydroxyl group, triple bond, and acetylenic hydrogen. Although the triple bonds and acetylenic hydrogens behave similarly in methylbutynol and in propargyl alcohol, the reactivity of the hydroxyl groups is very different. 

For gas-fired systems the state-of-the-art is represented by the preheater described in Reference 69. A pebble bed instead of a cored brick matrix is used. The pebbles are made of alumina spheres, 20 mm in diameter. Heat-transfer coefficients 3—4 times greater than for checkerwork matrices are achieved. A prototype device 400 m in volume has been operated for three years at an industrial blast furnace, achieving preheat temperatures of 1670 to 1770 K. 

Measurement Considerations A prototype enzyme-catalyzed reaction where one substrate (S) produces only one product (P) may be described by... 

Polymerization of methacrylates is also possible via what is known as group-transfer polymerization. Although only limited commercial use has been made of this technique, it does provide a route to block copolymers that is not available from ordinary free-radical polymerizations. In a prototypical group-transfer polymerization the fluoride-ion-catalyzed reaction of a methacrylate (or acrylate) in the presence of a silyl ketene acetal gives a high molecular weight polymer (45—50). 

The United States continued fast-breeder reactor research and development with the building of the fast flux test faciHty (FFTF) at Hanford and the SEFOR reactor in Arkansas (59). The next plaimed step was to build a prototype power reactor, the Clinch River fast-breeder plant (CRFBP), which was to be located near Oak Ridge, Teimessee. 

The Los Alamos water boiler served as a prototype for the first university training reactor, started in September 1953 at North Carolina State College. The cylindrical reactor core used uranyl sulfate [1314-64-3] UO2SO4, and cooling water tubes wound inside the stainless steel container. A thick graphite reflector surrounded the core. 

Eig. 1. Representation of the band stmcture of GaAs, a prototypical direct band gap semiconductor. Electron energy, E, is usually measured in electron volts relative to the valence, band maximum which is used as the 2ero reference. Crystal momentum, is in the first BriUouin 2one in units of 27r/a... 

Electrolysis. Electrowinning of zirconium has long been considered as an alternative to the KroU process, and at one time zirconium was produced electrolyticaHy in a prototype production cell (70). Electrolysis of an aH-chloride molten-salt system is inefficient because of the stabiUty of lower chlorides in these melts. The presence of fluoride salts in the melt increases the stabiUty of in solution, decreasing the concentration of lower valence zirconium ions, and results in much higher current efficiencies. The chloride—electrolyte systems and electrolysis approaches are reviewed in References 71 and 72. The recovery of zirconium metal by electrolysis of aqueous solutions in not thermodynamically feasible, although efforts in this direction persist. 

The best procedure for making plate-efficiency corrections (which obviously can be quite large) is to use experimental-test data from a prototype system that is large enough to be representative of an acliial commercial tower. 

In general, the larger the pilot unit, the more reliable the pre-dic tion oflarge-scale performance. The pilot unit should be a prototype with all dimensions properly scaled down. 

This on-going research aims at a) environmental monitoring and b) the development, after further research and collaboration with an instrument manufacturer, of a prototype portable flow toxicity meter as an early warning system for pollution. 

At this stage a prototype product is produced, and its performance in the market is assessed. If this is satisfactory, full-scale production is established. But the designer s role does not end at this point. Continuous analysis of the performance of a component usually reveals weaknesses or ways in which it could be improved or made more cheaply. And there is always scope for further innovation for a radically new design, or for a radical change in the material which the component is made from. Successful designs evolve continuously, and only in this way does the product retain a competitive position in the market place. 

A prototype of such phenomena can be seen in even the simplest carboxylic acid, acetic acid (CH3CHOOH). Acidity is determined by the energy or free energy difference between the dissociated and nondissociated forms, whose energetics usually depend significantly on their conformation, e.g., the syn/anti conformational change of the carboxyl-ate group in the compound substantially affects the acid-base equilibrium. The coupled conformation and solvent effects on acidity is treated in Ref. 20. 

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