How many electrons can be on each ring of an atom?

Electron orbital shell is the correct terminology. 

I'm not fresh on my chemistry, but size orbitals can hold increases as they move away from a cell. The maximum number of electrons that can occupy a specific energy level can be found using the following formula:

Electron Capacity = 2n²

This means that the first shell can hold 2 electrons, the next 8, the third 18, the fourth 32, the fifth 50, and the sixth can hold 72.

26.4 is about the right time