Hemi,
I too own a UNIMAT SL 1000 that I bought new in 1970. I have modified and improved the small 3" swing lathe (see http://www.homemadetools.net/forum/m...00-lathe-10111 ).
Included in the modifications are a homemade ER16 collet chuck (see http://www.homemadetools.net/forum/e...0273#post57039 ) made form 1144 stressproof steel and measures 0.0004" TIR using high-precision Techniks collets. Later, I discovered a way to grind the ER16 chuck to even better TIR (see http://www.homemadetools.net/forum/u...6880#post67090 ) using a grinding experiment with a chuck ID TIR of at 0.0001” without the collet and a measured TIR around 0.0005” when using the collet in the ER16 chuck and gage pin for measuring combined TIR mesaured at 1" from the collet face.
One of the most important facts is no matter how accurate the collet chuck ID is in TIR, the ultimate quality of the ER16 collets determine the overall TIR accuracy. In addition, it is possible to ruin the TIR of high quality ER16 collets so don't over-stress these by extending their holding range beyond the intended 1mm extension range of the collets.
Regards,
Paul Jones

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