Computation
of the space charge effect within an ion trap may cost
a few days to even years in clusters. Here, we report a statistical
algorithm that can compute the space charge effect within a few minutes
via a personal computer, without scarifying the accuracy. The key
technology developed here was an effective electric field extracted
from the statistics of N ions to replace the time-consuming
computation of ion–ion Coulombic interactions, therefore reducing
the computational burden from ∼N
2 to ∼N; then, the burden was further reduced
by shrinking the sampling size to N
sim = 500. For a linear ion trap (LIT) with an ion capacity N = 1 × 10 5∼1 × 106, this indicated an improved efficiency of N
2/N
sim , i.e., 20 million∼2
billion-fold. Using the algorithm, space charge effects under different
trapping conditions were explored, and the acquired knowledge enabled
the spectral correction of the mass shift and peak broadening due
to the effect in a miniature dual-LIT mass spectrometer.