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I know that the first shell can hold up to 2, the second and third can hold up to 8, and the fourth 18. But what about after that?

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    $\begingroup$ Remember that search engines are a powerful tool. Searching for electrons per shell in Google yields the following section on Wikipedia among the first results. $\endgroup$ – Nicolau Saker Neto Jan 3 '14 at 2:39
  • $\begingroup$ @KarstenTheis you're right. I was improving a suggested edit and must have had a mental lapse. $\endgroup$ – A.K. Nov 9 at 19:13
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$$\text{Electron Capacity for a shell} = 2n^2$$

where, n represents the Principal Quantum Number, a.k.a. energy level.

Keep in mind that an energy level need not be completely filled before electrons begin to fill the next level because beyond the fourth energy level, you would get into theoretical subshells.

See this.

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