Download A Course in Statistical Thermodynamics by Joseph Kestin PDF

By Joseph Kestin

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The point at ξ = X where the atom is instantaneously at rest is called the (classical) turning point. If the atom were to perform harmonic oscillations only, its maximum potential energy would remain proportional to X2, and its equilibrium position would remain stationary. Hence, the potential curve would assume the form of the parabola b. For a given maximum potential energy φ{ = KX2 — φ0 (where Kis a constant), the two turning points would correspond to points BB on parabola b, and the position of equilibrium would be at B0.

The molecules are said to be nonlocalized because it is postulated that any molecule may occupy any region in the vessel of volume V which contains them. Molecules of different chemical species differ in the complexity of the arrangement of atoms in them. Monatomic molecules consist of single atoms. 3. MECHANICAL MODELS 47 Polyatomic molecules contain two (when they are called diatomic) or more atoms. A distinction is made between homonuclear molecules which contain identical atoms, and heteronuclear molecules which contain different atoms.

14. ). 12). Hence, determine the natural frequency for this vibrational mode. 4). 15. Compute the number, N, of molecules of H 2 0 contained in V= 1 cm 3 at atmospheric pressure and at a temperature of 7\ = 150°C; T2 = 4°C; T3 = —4°C. 0905 x 10" 3 m 3 /kg. 16. Determine the total number of degrees of freedom / = /tr + / , + /v for the following idealized molecular configurations, which are shown in the accompanying sketches, assuming that the connecting springs are both flexible and extensible: (a) homonuclear diatomic molecule; (b) linear, homonuclear triatomic molecule; (c) nonlinear, homonuclear triatomic molecule.

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