Molecular derivation

So in the world of polymer melts, the intermediary of a constitutive equation, or equation set, albeit molecularly derived, would seem unavoidable at present. The success of the branched-polymer model discussed above would suggest that... 

TABLE 13.13. Molecular derivatives of insulin and their pharmacologic attributes... 

The molecular derivatives of platinum group metals are usually rather well soluble in organic solvents and volatile in vacuum. At normal pressure they demonstrate very low thermal stability and easily decompose producing fine metal powders. This decomposition occurs more easily for the derivatives of branched radicals as it is based on a P-hydrogen elimination process. An important feature of the chemical behavior of these alkoxide complexes is their rather high stability to hydrolysis. Some derivatives can even form outer sphere hydrates when reacted with water in organic solvents. This stability to hydrolysis can at least partially be due to the kinetic inertness of the complexes of this group. 

All contributions to the molecular derivatives involving the higher electronic derivatives [Eqs. (59) and (60)] may be treated as direct linear transformations and calculated in terms of inactive Fock matrices containing multiply one-index transformed integrals. For example, the first anharmonic-ity contains the term... 

Molecular Derivation of the Model. The molecular theory of surface complexes is a special case of a multispecies lattice model. The surface complexes thus are interpreted as molecular species immobilized (relative to the 10-ps time scale for diffusive motion of an ion in aqueous solution) on an array of M sites that represent surface functional groups. If there are two different surface species on the sites (e.g., a protonated and an unprotonated surface hydroxyl group) and if each site has z nearest neighbors, then any distribution of the two species (call them A and B) over the sites must satisfy the general conditions (23)... 

Comparison of this molecularly-derived diffusion equation with Pick s first law, equation (11.34), shows that the diffusion coefficient is given by... 

We now turn to the molecular derivation of the equation of change for angular momentum The quantity [rf x pj ] is the angular momentum of a bead with respect to some arbitrarily chosen fixed reference frame. The beads are regarded as point particles, and hence possess no intrinsic angular momentum. Consequently, to obtain Eq. (9.1) from the statistical mechanical approach, we consider the following vector function B in the phase spaces = E K x p ] 5 (r - r) (9.4)... 

Survival times of L1210 tumor-carrying BDFj mice treated with high molecular weight derivatives of MTX. BDF mice were inoculated on day 0 with 10 L1210 cells and treated on day 1 with either MTX or a series of high molecular derivates of MTX. 

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