Hello. I'm trying to assess the feasibility of building a transimpedance amplifier with a gain of 1 GOhm and a bandwidth of 50 kHz. I need to amplify sub-picoampere currents (500 fA - 100 fA) generated by an ion detector that has about 25 pF of capacitance. At first glance, this seems possible given an op amp with high GBW. However, compensation may be an issue.
The equations in http://www.ti.com/lit/an/sboa122/sboa122.pdf suggest a minimum GBW of approximately 400 MHz given my requirements. But the respective feedback (compensation) capacitance is in the range of a few femtofarads, which is likely even less than the parasitic capacitance of the feedback resistor. A higher GBW would help but not much.
Am I interpreting the equations correctly?
Thanks.