Have I destroyed some expensive op-amps ?

Silly me.

Due to poor eyesight and difficult to read IC labels I plugged some OP275 (dual op-amps) into a +/-20V circuit that should have used OP27 (single op-amps).

The OP275s did run a little bit warm but not excessively so.

Have I destroyed them ?
 
I think there's a chance they survived. Pin4 is -ve rail for both, pin7 is an output for the OP275 so the +ve supply rail will have gotten fed through a parasitic diode. It will all depend on how much current flowed as there's no intrinsic protection against outputs being shorted to rails.

A basic check would be to wire the - input pin to the output and the + input to 0V. Then see if the output is also at 0V.
 
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The devices may have survived and appear operationally OK (just build a simple gain stage and check basics like current draw and offset voltage) but may have suffered impairment in other ways, some of which may be measurable if you delve deep enough. In other words they may now not meet all their finer detailed specs and may also suffer from for example a higher noise figure. Long term reliability may or may not be altered.

I would put it down to experience, mark these two up as 'suspect' and only for use in prototyping and get some replacements.
 
Better discard “suspect” parts as one will forget and the label will be gone.


You made a mistake, no problem as OP275 is sonically not top rank anyway. Throw them in the bin and no second thought and no second mistake possible (which is using them).
 
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When powering up something with opamps I use bench power supply with miliamperes resolution LED ammeter (with 0.1 mA resolution) and with additional mode when 1k ballast resistor is put along with a power line to limit the current to several mA (to 5-10 mA max). So I can accurately measure current which a circuit consumes and accordingly know if everything is ok.
It is 6.12V, 6.0 mA and switch in mode-II (with 1k series resistor) onto the photo (a load is 1k resistor too):
 

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One of the consequences of abusing opamp input stages is reverse-biasing base-emitter junctions into reverse-breakdown, which can reduce performance (usually measurable increase in noise, loss of gain).


Such is quite hard to check for without the right test-equipment or suitable test amp circuit.