Download e-book for iPad: A Course in Statistical Thermodynamics by Joseph Kestin

By Joseph Kestin

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4. Describe the structure of the Γ-space. Contrast this with the /x-space for a gas without internal degrees of freedom. How does the geometrical structure of the /x-space change for a triatomic, nonlinear molecule ? 5. Why is the /x-space unsuitable for the description of systems whose mechanical models consist of interacting particles ? 6. The /x-space of a particle constrained to move in one dimension may be represented in a space of two dimensions. Construct the appropriate /x-space and sketch the path of a particle with a given energy if the particle is (a) a harmonic oscillator, (b) a bead constrained to move without friction on a circular ring.

MICROSCOPIC DESCRIPTION OF THERMODYNAMIC SYSTEMS 31 retained, models which conflict with them are rejected or modified. Here, of course, agreement always leaves a margin of experimental error and refinements in the model usually accompany refinements in measuring techniques. By this means, the preceding microscopic description is made to agree with the macroscopic description in spite of the apparent, but superficial, discrepancy between them. Adopting the microscopic point of view, we would say that two states of a system are identical if all molecules have identical positions and move with identical velocities in both cases.

Third angle which describes the angular deflection about the a-a axis is not counted because motion around it does not contribute to the kinetic energy of rotation. 8a) degrees of freedom in rotation. By their nature, all diatomic molecules are linear. 8b) degrees of freedom. The three independent coordinates can be chosen as the angles of deflection a l5 a 2 , a 3 with respect to the axes a-a, b-b, and c-c, and measured in relation to three fixed directions. Only the angle

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