For a plasma chamber which has to be vacuumed to low pressure, how do I calculate how much vacuum pressure can it handle without the risk of implosion?Is there any mathematical formula for it? The geometry of the chamber would be cylindrical.
Most often, whatever the vacuum level, the gauge pressure is allways close to -760 mmHg for outside normal atmospheric pressure, and therefore, as long as a glass piece of equipment was judiciously designed for general vacuum application, it can typically be used for any vacuum level, from a purely mechanical safety perspective. Some vacuum devices may impose other specific requirements; besides thickness.
Thickness and area of any glass window should be judiciously decided for a vacuum chamber. Windows should be placed on the chamber with uniform pressure from all the sides. Any uneven force on window can damage it during evacuation of the chamber even if it is quite thick. So be careful.