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LMP91000: Lower limit of current detection? Oscillations with measurements in 10 nA range with certain cells

Part Number: LMP91000

Working with a two electrode cell (with CE and RE shorted) I'm getting a consistent 400 Hz oscillation, only when the cell current is low (<10nA). Is the feedback circuit unstable at this low current or could it have to do with the geometry of the cell itself? 

Is there anything I can do to improve the stability at very low currents?