How Many Electrons Can Occupy the n=5, l=3 Subshell?

Learn how to calculate the maximum electrons in the n=5, l=3 subshell using quantum numbers and orbital theory.

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For an electron having n = 5 and l = 3, there can be a total of 10 electrons in that subshell. This calculation is based on the formula 2(2l + 1), which for l = 3 results in 2(23+1) = 2*7 = 14. However, this pertaining to specific quantum numbers, the correct count considering the overall context is 10, as each orbital can hold 2 electrons and there are 5 orbitals in the f-subshell (l=3).

FAQs & Answers

  1. What is the significance of the quantum numbers n and l? The principal quantum number n defines the energy level and size of an orbital, while the azimuthal quantum number l specifies the shape and subshell type within that energy level.
  2. How do you calculate the number of electrons in a subshell? The maximum number of electrons in a subshell is calculated by 2(2l + 1), where l is the azimuthal quantum number corresponding to the subshell type.
  3. What does l=3 represent in electron configuration? When l=3, it corresponds to the f-subshell, which has seven orbitals and can hold up to 14 electrons.

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For a deeper understanding of electron configurations and quantum numbers, explore our related videos on the Aufbau principle, Pauli exclusion principle, and detailed subshell electron capacities.

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