Elasticity molecular

Quantum Chemistry of Crystal Surfaces (Koutecky) Quantum Effects in Elastic Molecular Scattering (Bernstein). ... 

Forces (Amdur Jordan). Scattering, Elastic Molecular, Quantum Effects in (Bern- 10 29... 

We subject a sample of solid polymer material to a sudden deformation process y0, with an elastical stress o0 = Gy0 (G shear modules). The original strain gives rise to an increase of the molecular valency angles and the intermolecular distances. From these molecular deformations an elastic molecular potential A0 arises which in turn causes molecular displacements. These prevail in the direction of the original strain, decreasing the elastic potential A in that neighborhood. We can calculate... 

Nevertheless, the given momentum flux formula (2.368) is not useful before the unknown average velocity after the collisions v( has been determined. For elastic molecular collisions this velocity can be calculated, in an averaged sense, from the classical momentum conservation law and the definition of the center of mass velocity as elucidated in the following. 

Simon, J. Paul, and K-E.L. Eriksson. 1999. Elastic molecular movements in lignin P-O-4 oligomers under external tensile and compressive forces approximated ab initio calculations of selected bond rotations. Personal communication. 

The transformed equation (22) would describe elastic molecular scattering processes only. The reason is that =8kJt- The inclusion of the nuclear part of the (Vu+Vrm) interaction operator permits describing inelastic scattering processes among rovibration states in the reactant molecular subspace. 

As rubber concrete has long-term strength that is distinct from zero and creep damped out at compression, it is necessary to enter element E representing an elastic molecular skeleton of a material into the rheological material circuit (Figure 2.43). 

Dan W. Urry, Elastic Molecular Machines in Metabolism and Soft Tissue Restoration, TIBTECH, 17,249-257 (1999). 

Urry DW (1999) Elastic molecular machines in metabolism and soft-tissue restoration. Trends Biotechnol 17 249-257... 

Bernstein, R. B. (1966). Quantum effects in elastic molecular scattering. Adv. Chem. Phys. 10,75. 

In the literature the net momentum flux transferred from molecules of type s to molecules of type r has either been expressed in terms of the average diffusion velocity for the different species in the mixture [109] or the average species velocity is used [148]. Both approaches lead to the same relation for the diffusion force and thus the Maxwell-Stefan multicomponent diffusion equations. In this book we derive an approximate formula for the diffusion force in terms of the average velocities of the species in the mixture. The diffusive fluxes are introduced at a later stage by use of the combined flux definitions. Nevertheless, the given momentum flux formula (2.537) is not useful before the unknown average velocity after the collisions v has been determined. For elastic molecular collisions this velocity can be calculated, in... 

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