An Introduction to Continuum Mechanics by Morton E. Gurtin (Eds.)

By Morton E. Gurtin (Eds.)

This publication offers an advent to the classical theories of continuum mechanics; specifically, to the theories of perfect, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. those theories are vital, not just simply because they're acceptable to a majority of the issues in continuum mechanics bobbing up in perform, yet simply because they shape a great base upon which you can still with ease build extra advanced theories of fabric habit. extra, even though recognition is proscribed to the classical theories, the therapy is glossy with a massive emphasis on foundations and constitution

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The rotation around the axis passing through the mass center of two nuclei and perpendicular to the line joining the nuclei (internuclear axis) and the vibration along the internuclear axis. 9) r where y/u is the eigenfunction of the linear harmonic oscillator, dependent only on (r-rj), r being the instantaneous distance between nuclei, r being its value 24 1 MOLECULAR STRUCTURE AND ENERGY STATES at equilibrium; 1// is the eigenfunction of the rigid rotator, when the internuclear distance retains the value at equilibrium, and y/r only depends on the orientation of the molecule in space, i//r =\jjr(&,(p), where ß ,(p being the zenith angle and the azimuth angle.

2 ENERGY DISTRIBUTION OF MOLECULES 33 On the example of perfect gas after integration (and by utilizing the well known thermodynamics relations) one obtains S= I n — +const, 7 - 1 PY (136) or YR S = -—In T - Rln p + const, 7-1 (137) where R is the gas constant; y is the specific heat ratio. Now we cite two examples when in a closed system (the number N of particles remains the same) the entropy increases and, correspondingly, the degree of the randomness or the disorder of the system increases.

As Q and ß are independent of N , so we have Eq. 46). 1 it is shown, that when the interaction between the various energy modes are neglected, the internal energy of molecules can be presented as the sum of electronic energy ee, vibrational energy ev and rotational energy er, if add the kinetic energy e of the motion of molecules, the energy of a molecule can be presented as e= Ee+ev+er + elr. 72) Correspondingly, it is seen from the form of the expression Eq. 70) of the partition function Q , that the complete partition function has the factorization property, i.

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