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Description
A theoretical and practical investigation into the relation of the applied waveform and frequency with beam transmission of the general purpose Radio-Frequency Quadrupole cooler and buncher (RFQcb) commonly used at ISOLDE and the Offline 2 facility. Beams of ions were transported through the RFQcb with frequencies ranging from 100 kHz to 1 MHz in 250 Hz steps to determine the stability of transport for the applied waveform and frequency by measuring the beam current pre and post transport through the RFQcb using several in beam devices. Maximum beam transport was directly compared to the theoretical model of ion stability via the matrix solutions to the Hill's equation for each waveform type within the RQFcb over several masses $^{20}$Ne,$^{40}$Ar,$^{84}$Kr and $^{131}$Xe.
