9mm J Frame Convertion
The early J frames with the 38spl sized window are what your looking for to accept a 940 or 940-1 9mm cylinder..
The difference between the 940 & 940-1 cylinders is the newer ejector ratchet or older ones with two pins..
There was a 940-2 made with a magnum sized frame window but I have never seen one but do know they exist..
A 640 No Dash 38spl would have the correct frame window to accept a 940/940-1 cylinder, a 640-1 is the 357 mag frame window..
I was able to aquire a 940-1 cylinder with extractor ratchet new & also aquired a center pin & ejector rod which were magnum cylinder lenth that I had to cut down for the convertion of my 642 No Dash to 9mm para..
After first fitting the cylinder to the yolk I had to add two .002" endshake shims to the 940-1 cylinder, then after checking barrel/cylinder gap & headspace I then went to work filing the ratchet to fit the 642s existing hand which was a very time consuming project but allowed me to convert the 642 to 9mm & back with just removeing the endshake screw, swaping cylinder & retightening the screw.
I haven't range tested this convertion yet but after reading other threads about convetions & the very miniscule difference between .355" .356" & .357" don't think I'll notice any accuracy loss between the 38spl & 9mm para..
Plan on shooting same paperplate targets at exact distance with similar ammos to see which is most accurate, I know which cost the least the 9mm para..
I also have a 940 & can tell you they can be had & sometimes for very "Decent" prices..
My 940 I traded straight up for a $175 Ruger SP101 38spl.
It did have a homemade endshake screw & broken firing pin & S&W sent me all the parts to repair it FREE of charge..
It may also be easier to find an extra 38spl cylinder & pay to have it reamed to 9mm para & cut for the moon clips..
I was very lucky as I posted a WTB 940 cylinder in the classifieds & found a fellow who had bought the parts to convert a later J frame to 9mm but his frame window was too large & they couldn't be used, I actualy traded an old Alessi Bodygaurd shoulder holster for the whole setup..
Here's a pic of my "942" 9mm Airweight shown with the 9mm cylinder attached & the 38spl next to it before I put my Spegel grips back on.
It's a very neat convertion & will give a good range report after I wring it out..
2nd pic is the 940 & "942".. My Current Avatar!!

Gary/Hk
642/942 Convertable Airweight
940 & 942