Question

How many orbitals have the values n = 6 and l = 5?

Answer 1

The fourth shell has 4 subshells: the s subshell, which has 1 orbital with 2 electrons, the p subshell, which has 3 orbitals with 6 electrons, the d subshell, which has 5 orbitals with 10 electrons, and the f subshell, which has 7 orbitals with 14 electrons, for a total of 16 orbitals and 32 electrons.

For l = 1, there are three values (ml = −1, 0 or +1). For l = 2, there are five possible values (ml = −2, −1, 0, +1 or +2). So adding the possibilities gives 1 + 3 + 5 = 9 orbitals in total.

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