Chemistry Practice Problems Quantum Numbers Practice Problems Solution: Using the periodic table, indicate which element w...

Solution: Using the periodic table, indicate which element would have each of the following properties. If more than one element is possible, only list the one with the smallest atomic number:(a) has exactly two unpaired electrons with an l = 1:(b) has exactly three electrons with n = 5, l = 2:

Problem

Using the periodic table, indicate which element would have each of the following properties. If more than one element is possible, only list the one with the smallest atomic number:

(a) has exactly two unpaired electrons with an l = 1:

(b) has exactly three electrons with n = 5, l = 2:

Solution

We are asked to identify the smallest atomic number element that fits the criteria below: 

(a) has exactly two unpaired electrons with an l = 1:

(b) has exactly three electrons with n = 5, l = 2:


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 are the range of –l to +l.

• Spin Quantum Number (ms): deals with the spin of the electron. The possible values for ms are either –1/2 (spin down) or +1/2 (spin up).


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