The ion optics in the ion-source chamber of a mass spectrometer extract and
accelerate ions to a kinetic energy given by:
K.E. = 0.5 mv2 = eV
where m is the mass of the ion, v is it's velocity, e is the charge of the ion and V is the applied voltage of the ion optics.
The ions enter the flight tube between the poles of a magnet and are deflected by the magnetic field, H. Only ions of mass-to-charge ratio that have equal centrifugal and centripetal forces pass through the flight tube:
mv2 / r = Hev
centrifugal = centripetal forces.
Where r is the radius of curvature of the ion path, e is the charge, m is the mass, and v is the velocity of the molecule.
r = mv / eH
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This equation shows that the m/e of the ions that reach the detector
can be varied by changing either H or V.
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