How Many Electrons Can Occupy an Orbital with Quantum Numbers n=6 and l=2?

Discover how quantum numbers n=6 and l=2 determine the number of electrons in an orbital and the principles behind electron capacity.

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For an electron with n=6 and l=2, there can be 10 electrons in total. This is because the magnetic quantum number, m_l, which defines the orientation of the orbital, can range from -l to +l, giving 5 possible values (-2, -1, 0, 1, 2). Since each orbital can hold 2 electrons (with opposite spins), the total capacity for these conditions is 5 orbitals x 2 electrons/orbital = 10 electrons.

FAQs & Answers

  1. What does the quantum number n=6 signify? The principal quantum number n=6 indicates the electron is in the sixth energy level or shell of an atom.
  2. How is the magnetic quantum number ml related to orbital orientation? The magnetic quantum number ml defines the orientation of an orbital in space and ranges from –l to +l, where l is the azimuthal quantum number.
  3. Why can only 2 electrons occupy each orbital? Due to the Pauli Exclusion Principle, each orbital can hold a maximum of two electrons with opposite spins.
  4. How many orbitals correspond to l=2? For l=2, there are five possible orbitals since ml can have values –2, –1, 0, 1, and 2.