Derivations of the field equations and stability parameters of a quadrupole ion trap, operating in different modes, are given in detail and discussed. The modes considered are: I. Conventional, analogous to the mass filter: a combination voltage, ??0, is applied to the ring electrode and -??0 to the end caps. II. Simple: ??0 is applied to the ring and the end-caps are earthed. III. A new mode in which the dc component of ??0 is applied to the end-caps and the rf component to the ring. Possible applications of mode III to studies of ion-molecule reaction pathways are also given. ?? 1977.
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