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MOCKLER weight. The total intensity distribution is experimentally plotted by simply moving the detector transversely across the beam. This is a useful procedure in aligning the instrument. A suitable Stern-Gerlach peak separation is about 3 undeflected beam widths or 6a for a good signal-tonoise ratio of the refocused atoms. The deflecting magnets must be designed so that they are capable of providing an intensity distribution of this general character, The observed signal in a beam experiment is the change in detector current due to the induced transitions.

20 and 21; their properties are given in the Appendix. ATOMIC BEAM FREQUENCY STANDARDS 49 A . , ( F = 4, mF = &l)++ ( F = 3, mF = f l ) . The frequencies for these transitions are given by Eq. 6mpgo, (78) where Y O is the hyperfine structure separation in zero field. The quantities goin oersteds. The low frequency transitions for which AF = 0, and AmF = f l are also used to measure the magnitude of the field and, in addition, the uniformity of the field. The frequency of these transitions is given by Eqs.

Cross section of a four pole magnetic deflection field. where 8, is a radial unit vector and aH - -. H, _ ar R (49) R is the distance from the axis of the assembly to the nearest point on each of the four-pole surfaces, and H,,, is the magnetic field at these points on the surfaces. In general, W is a function of the magnitude of the field H and is given by the Breit-Rabi formula. If the field produced by the magnet assembly is sufficiently strong so that the magnetic interaction energy with the external field is large compared to the interaction energy between the nuclear and electronic angular momentum (Paschen-Back effect), then the atom will have a magnetic moment peff of the order of a Bohr magneton independent of the magnetic field.

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