Born condition

The discrepancy is not large and the last term is zero for a system without net charge. Thus we see that the use of a shifted Coulomb force is equivalent to a tin-foil reaction field and almost equivalent to a tin-foil Born condition. 

Note that the condition n = 0 is not allowed since that would imply tp = 0, everywhere, which is not square integrable as required by the Born condition. The ground-state, or zero-point energy... 

In applying this concept, the factor of particle size must be continuously borne in mind. A heterodisperse system can reach a steady state wherein the smaller particles are agglomerated and the larger particles are dispersed, giving the apparent effect of an equiUbrium. In ideal monodisperse systems under steady conditions, however, no such effects are noted. 

The Born-von Karman boundary conditions then restrict the allowed electronic states to those in the graphene Brillouin zone that satisfy... 

All wire rope will eventually deteiiorate in operation or have to be removed simply by virtue of the loads and reversals of load applied in normal service. However, many conditions of service or inadvertent abuse will materially shorten the normal life of a wire rojje of proper construction although it is properly applied. The folibwing field troubles and, tlieir causes give some of the, field conditions afid practices that result in the premature replacement of wire rope. It should be,borne in,mind that in all. cases the contributory cause of removal may Ije, one or more of these practices or conditions. 

Most hot-corrosion phenomena of practical significance are controlled by the kinetics of the reactions proceeding, rather than by the thermodynamic stability of the reactants or products involved. It must, however, be borne in mind that reaction rates determined under simplified laboratory conditions are frequently inapplicable to the more complicated conditions experienced in practice. Factors of major importance in this context are stress and thermal cycling. 

It should be borne in mind that sampling of radioactive substances is a specialist operation at all times and should be carried out only under strictly controlled conditions within restricted areas. In almost all instances the operator must be protected against the radioactive emanations from the substance he is sampling. 

The branch of science which is concerned with the flow of both simple (Newtonian) and complex (non-Newtonian) fluids is known as rheology. The flow characteristics are represented by a rheogram, which is a plot of shear stress against rate of shear, and normally consists of a collection of experimentally determined points through which a curve may be drawn. If an equation can be fitted to the curve, it facilitates calculation of the behaviour of the fluid. It must be borne in mind, however, that such equations are approximations to the actual behaviour of the fluid and should not be used outside the range of conditions (particularly shear rates) for which they were determined. 

Two families of complexes having either exocyclic chirality borne by the nitrogen atoms (79,81,82) or endocycUc chirality (f-butyl groups) relayed by benzyUc groups on the nitrogen atoms (83, 84) were tested in the optimized conditions (Fig. 15). 

Borrelia recurrentis causes a relapsing fever in humans. Borrelia vincenti is the cause of Vincent s angina in humans, an ulcerative condition of the mouth and gums. Borrelia burgdorferi is the causal organism of the tick-borne Lyme disease. 

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