# How To Determine The Maximum Number of Electrons Using Allowed Quantum Numbers - 8 Cases | Summary and Q&A

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March 27, 2015
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The Organic Chemistry Tutor
How To Determine The Maximum Number of Electrons Using Allowed Quantum Numbers - 8 Cases

## TL;DR

Learn how to calculate the maximum number of electrons in an energy level using quantum numbers.

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### Q: How do you calculate the maximum number of electrons in an energy level?

The maximum number of electrons can be calculated using the equation 2n^2, where n is the principal quantum number.

### Q: What is the maximum number of electrons in the third energy level?

The third energy level has three sublevels (3S2, 3P6, 3D10) that can hold a total of 18 electrons.

### Q: What happens if the L value exceeds the N value?

If the L value is greater than the N value minus one, the quantum numbers are not allowed, and the maximum number of electrons is zero.

### Q: How do you calculate the maximum number of electrons with specific quantum numbers?

If given the values of N, L, and Ms, you can use the previous quantum numbers to determine the maximum number of electrons. It is usually half of the previous quantum number.

## Summary & Key Takeaways

• The maximum number of electrons in an energy level depends on the value of the principal quantum number (n).

• For each energy level, there are different sublevels (S, P, D, F, G) that can hold a certain number of electrons.

• An equation, 2n^2, can be used to find the maximum number of electrons in any energy level.