A concise introduction is presented to the theory and application of q
uadrupole ion trap mass spectrometry. The presentation of the theoreti
cal treatment is based on a demonstration of the equivalence of the fo
rce acting on an ion in a quadrupole field and the force derived from
the Mathieu equation; this equivalence permits the application of the
solutions of Mathieu's equation to the confinement of gaseous ions. Re
sonant excitation, collision-induced dissociation, mass spectrometry,
tandem mass spectrometry and chemical ionization are discussed in the
context of analytical applications. Sample calculations of the trappin
g parameters q(z) and beta(z), the axial secular frequency, mass range
, mass range extension and the magnitude of the potential well depth a
re given. (C) 1997 by John Wiley & Sons, Ltd.