The analytical solution for the optimum voltage on regularizing electrodes of the open dynamically harmonized cell

The Fourier transform ion cyclotron resonance method holds the lead in mass accuracy and resolving power among all other mass spectrometry methods. The dynamically harmonized cell is largely responsible for the supremacy. This cell has an ideal hyperbolic trapping potential after averaging over fast cyclotron motion. Recently we have introduced an open modification of the cell (especially useful with ultrahigh magnetic fields) and have found the analytical solution for the averaged potential inside it. The voltage on specific “regularizing” electrodes determines how close a potential is to the hyperbolic one. In this article, we find the optimal voltage on these “regularizing” electrodes analytically. This will assist with both further analysis and tuning of the trap after manufacturing.