Abstract
With the help of computer simulation experiments, the properties of cylindrical ICR cells without endcaps are studied. An analytical model of the trapping potential is derived, which is used to set up a three-dimensional array for the trapping potential in the computer simulations. Inside this trapping potential, one ion is allowed to run for a time of 0.02 s, which allows a frequency resolution of 50 Hz. The time evolution of the x, y and z positions of the ion is Fourier-transformed to obtain the effective cyclotron frequency and the trapping frequency. This experimental set-up enables one to exactly detect the cyclotron frequency on certain cyclotron radii and certain axial amplitudes. In addition, the frequency shifts for ions at different cyclotron radii and axial amplitudes are detected. These values can be compared with theoretical values, obtained from a polynomial representation of the trapping potential. In this way, the validity of the quadrupolar approximation of the trapping potential is checked.
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