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
- 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.
- 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.
- 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.
- 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.