Page 114 - Tandem Techniques
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            rods, with a relatively small potential ranging from 10 to 20 volts. Once inside the quadrupole, the ions
            oscillate in the (x) and (y) dimensions as a result of the high-frequency electric field.

            The stability of the oscillating ions are determined by the magnitude of two parameters (a) and (q)
            which are defined by the following equations:








            where, (r0) is half the distance between opposite rods of the quadrupole system and the other symbols
            have the meaning previously ascribed to them.

            The oscillations of the ions will only remain stable for certain combined values of (a) and (q). Outside
            these values the oscillations become infinite and will strike the rods and become dissipated. The
            relationship between (a) and (q) is shown in Figure 2.32




















                                                         Figure 2.32
                                               Conditions for Stable Oscillation in a
                                                  Quadrupole Mass Spectrometer

            It is seen that there is a very restricted range of values of (a) and (q) that can permit the mass
            spectrometer to operate in a stable mode. The mass range is scanned by changing U and V0 while
            keeping the ratio U/Vo constant.
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