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

By I. Prigogine

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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. The apparatus, including its 4-in. diffusion pump, is of all-metal construction.

See Fig. ) The beam flux at x may be written N(x) = JozXJ:i(r,x,q)r dr dq (18) and the loss of flux due to scattering in dV into all space except that subtended by the detector may be written -di(r,x,q)r d r dq = i(r,x,q)n(x)Sprd r dq d x (19) where S, is given by Eq. (17). Nonuniformities in the scattering gas density are taken into account by making n a function of x. ELASTIC SCATTERING OF HIGH-ENERGY BEAMS Equation (19) must first be integrated over Y 41 and q. The result is f2nf o where S, is given by Integration over x then yields where D is defined as the total path length of the beam.

Note that 6s is the laboratory scattering angle. ELASTIC SCATTERING OF HIGH-ENERGY BEAMS 37 Figure 1 shows the arrangement of the beam, scattering volume, and detector. A point P(r, x, q) in the scattering volume is defined by the cylindrical coordinates r, x, and q. The radius of the beam is denoted by p. The angle Od is that angle through which a beam particle must be thrown in order just to miss the detector, and in general will be a function of P(r, x, q) and of 4, an azimuthal angle about the undeflected trajectory.

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