The calibration, transmission, and resolution of a 127° cylindrical electrostatic velocity selector are examined as functions of the individual voltages applied to the electrodes. The calibration and resolution calculated using first order orbit theory are compared with numerically determined orbits obtained using the exact electrostatic field within the selector. The calibration and transmission are found to be strongly dependent on the electrode potentials while the resolution is insensitive to these parameters. The experimentally determined resolution is in good agreement with the calculations. Variation of the transmission with the individually applied voltage is shown to be the result of vertical focusing.

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Top and bottom plate boundary conditions actually introduce a small correction to KEt. For the geometry of this instrument (r0,z = 0) = 0.4426V1+0.5418V2 as calculated from Eq. (11); this is in contrast to φ(r0,z = 0) = 0.4497V1+0.5503V2 calculated from Eq. (1). Use of this latter equation for computation of KEt as a function of ΔV results in no significant changes in Eq. (10).
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