Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: List all the orbitals in each principal level. Spe...

Solution: List all the orbitals in each principal level. Specify the three quantum numbers for each orbital.n = 4

Problem

List all the orbitals in each principal level. Specify the three quantum numbers for each orbital.

n = 4

Solution

We have to list all orbitals in the given level (n=4) and write the three quantum numbers for each orbital.

To determine the possible values of ℓ, m and ms, when n = 4 , let’s first define the possible values of the quantum numbers:


principal quantum number (n) → energy level in orbitals and its value could be any positive integer starting from 1.

angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1).

magnetic quantum number (m) → range of values from -ℓ to + ℓ.

spin quantum number (ms) → has two values: +½ and -½.

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