You could make a back plate for the chuck but I suspect you will have fun adding the thread for the chuck to it. They are usually rather coarse and I'd guess your lathe doesn't go below 100 rpm. Power might be a problem too but very very fine cuts at the thread angle usually help with that. You will have the same problem with a morse adapter. It's also best to do this sort of job with a chaser but it can be done with an ordinary pointed tool providing you calculate how much undersized the od needs to be. Even metric threads have a rad on the crests in practice.
The sort of chuck mounting the lathe has usually has some sort of register. Hopefully a plain diameter. It's best to turn up a sort of plug gauge that is exactly the same with a short section say 0.02 to 0.03mm under sized on the end. You can then machine the recess for the plate and reduce the size of the cut to very low levels when this part just goes in. Say you take 0.005mm cuts then that will be the fit when it goes in. Then as a check remove the chuck with the plate in and check it fits.
You could mark the position for the studs using engineers blue. Normally that has to be used so thin that it can hardly be seen but in this case you could smear a thin layer on the area on the lathe's plate and press the chuck plate against it. Maybe having to rotate it a little each way to get it to take and leave a mark . Then carefully mark the centre of where the studs have to go. There is usually some clearance on the studs so this wont be as bad as you might think but will need care.
There is a way that you could avoid turning the thread for the chuck. Mount the plate and turn the register. Use the same very light cuts technique to get a good fit. 4 jaws are usually mostly solid metal and there will be a rim around the register. Simply drill through the back plate into the chuck at a thread core size and use high tensile screws to hold it to the plate. Countersunk will probably be best. Smallest you could get away with is say 3 or 4 M4's. Fully fit one before drilling the others. The 1st one will make sure things stay in place when you do the others.
I have used the blue idea for spotting holes like this from a chuck but didn't have any blue so used wet paint. It can be done. Biggest problem was a drill running off a bit but in this case it didn't matter. I just had to make the hole in the plate a bit bigger.
You might be able to find something that already fits the lathe – say a budget collet holder, turn that off and then fit the chuck adding thickness if needed. Or maybe a back plate – ArcEuro stock several sizes, maybe Chester do too. I assume that the ones with thread still have holes positioned to fit studs correctly. The nice thing about studs is that the chuck doesn't suddenly spin off when threads are being cut and the lathe has to be reversed. It happens.
Been out and also have eaten lunch since starting this so some one else might have posted similar suggestions.
John
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