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Now that's something I sure wasn't aware of, Paul! Under the Eros operating parameters, how detrimental is the low voltage to the PCC88?
I don't think there's any consensus on quantitative measures. Lifetime statistics must come from large studies, and nobody has had the time or money to test 1000 tubes to death, for many decades. The only literature out there is from the fifties and sixties, and it's all over the place. The best information would come from the manufacturer. I have never seen a Tesla data sheet, though.
The mechanism of cathode poisoning by ion bombardment is well known, though the term has been widely mis-applied in recent decades - look for an old, respected textbook if interested in the gory details.
The only quantitative thing I have was determined for pure tungsten directly heated cathodes, and I don't know how well it applies to thoriated tungsten, much less indirectly heated oxide cathodes such as we use. That rule is that the electron emissivity is proportional to the 13th power of the applied voltage. That would say that at 82% rated voltage, you can take about 8% of the maximum rated cathode current.
I think the best analogy is putting the wrong size tires on a car. If they're only a little different in diameter, you're probably OK but if they differ on the same axle the differential gears will get extra wear. With a bigger difference, such as the mini-spare that cars have these days, handling deteriorates to the point that you want to stay off the freeway and get it fixed in the next few days. And 8" tires on an SUV means you're parked and up on blocks...