Download Advances in Chemical Physics [Vol 10 - Molecular Beams] by I. Prigogine PDF

By I. Prigogine

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26) further reduces to sg, 1 6, I. =AxsCnp2 X2 2K P 'Pr :b dr drt dx = - sp dV (27) Thus S,, is simply a volume average of S,,, a not unexpected result Equation (27) may be combined with Eq. (29) becomes 2I/ - 2 ' s [x,x2~s xz = Pdx The integration over x is straightforward and the double integral may be evaluated by substituting u = 1 cos 4 and w = 1 sin 4. Thus (O;2/s) may be written as XYZ, where X - Z= x;+2/s (x2 - X;f2/s - XI) 2(2p)n ( l - 41s2) An analogous procedure may be followed to calculate (e:-2's) this quantity may similarly be expressed as X'Y'Z',where and Equation (28) states that if log S,, is plotted against log E, a straight line with slope -2/s will result.

JORDAN Since it has been shown that the averaging of potentials leads to average molecule-molecule potentials which are consistent with those obtained from high-temperature transport proper tie^,^'^^^ it appears that both methods lead to satisfactory results, even though they are substitutes for the correct but intractable procedure of solving the multibody scattering problem for an angular dependent potential. Although the averaging of cross sections is probably a better assumption, the authors are inclined to favor the averaging of potentials simply because it is easier to carry out, particularly for small separation distances where a series expansion in Sinandglu’s treatment encounters convergence difficulties.

58 I. AMDUR AND J. E. JORDAN Gas is introduced into the scattering chamber through a &-in. tube, 8, suspended coaxially in the +in. tube. The temperature of the scattering gas is measured with a thermocouple attached to the scattering chamber. The scattering pressure is measured with a Pirani gage which is attached to the bottom plate of the chamber and calibrated against a McLeod gage. Thermal detectors of various types are used to measure the beam intensities. Additional details of the Pirani gage and the thermal detectors will be given.

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