Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: Suppose that in an alternate universe, the possibl...

# Solution: Suppose that in an alternate universe, the possible values of l are the integer values from 0 to n (instead of 0 to n - 1). Assuming no other differences between this universe and ours, how many orbitals would exist in each level in the alternate universe?n = 5

###### Problem

Suppose that in an alternate universe, the possible values of l are the integer values from 0 to n (instead of 0 to n - 1). Assuming no other differences between this universe and ours, how many orbitals would exist in each level in the alternate universe?

n = 5

###### Solution

We’re being asked to determine the number of orbitals for n = 5 and l = 0-5 (n instead of n-1).

Recall that the quantum numbers that define an electron are:

• Principal Quantum Number (n): deals with the size and energy of the atomic orbital

The possible values for n are 1 to ∞.

• Angular Momentum Quantum Number (l): deals with the shape of the atomic orbital

The possible values for l are 0 to (n – 1).

• Magnetic Quantum Number (ml): deals with the orientation of the atomic orbital in 3D space.

The possible values for ml is the range of l: –l to +l. View Complete Written Solution

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