I have had an identical problem with tapping plastics (I want an M7.4 x 0.55 thread for pen making) and have burst several plastic tubes I was trying to thread. I have not yet cured the problem – but will describe what I did to make the tap & mitigate the problems, none of which worked, so it may save others time!
The tap (of SS) was turned on the lathe, tapered to 2.5 degrees at the entry & threaded. Then on the mill I used an end mill to cut a right angled notch out of the side of the tap below the centreline of the tap to give the positive cutting angle. The thread depth was 0.27mm, and the groove went the same depth into the core of the tap. The reason for this is that I'm a bit ham fisted and didn't want the tap to break.
I used a tiny triangular file to re-instate the threads, then hardened and quenched the tap. Tempering was 30 minutes in the oven at gas mark 9 (light straw). Did it this way for 3 reasons – 1) the tap was black & well nigh impossible to clean anywhere to see the tempering colours and 2) It was a Sunday and I was cooking the roast, so had to have the oven warmed up to gas 5 anyway, so bumped it up to gas 9 an hour early. 3) The wife was at Church & wasn't there to complain.
Anyway. I then drilled the tapping hole (6.8mm) and fed the tap in. Two threads bit before stripping the thread off the plastic as it bound up. So, I went and ground a bit of relief on the taper section. Which meant it didn't stay at 90 degrees to the surface, so turned the end of the tapping hole into a countersink. Then on using a fair bit of force to get it in and bite, the thread was formed more than cut, none the less the groove filled up with swarf rapidly and burst the plastic tube.
On re-machining the grooves I wrecked an end mill as I forgot that it'd be really quite hard after the tempering.
After annealing the tap, then I milled the groove deeper with the new end mill at 0.25mm higher up so as not to damage the thread cutting edge. This time the groove was 1mm deep not 0,6mm. Didn't harden or temper the tap because plastics are soft… And tried to tap another tube. The first 5mm were not successful as it just reamed the plastic out to 7.4mm from the tapping dia. Then the thread bit, and started cutting for 3 threads, when the plastic tube burst again.
Then I tried lubricating the non cutting area with silicone grease. Not successful as it stopped all cutting action entirely, creating forming only. The force increased to turn the tap until the tube burst.
Tapping compound didn't help, with the same predictable result.
When I stopped inventing Esperanto on the spot, I put it to one side until I can find out more.
Which may be now.
Regards,
Richard.