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**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:

###### FREE Expert 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 ***(m _{l})**: deals with the orientation of the atomic orbital in 3D space. The possible values for m

_{l}are the range of

**–l to +l**.

• *Spin Quantum Number ***(m _{s})**: deals with the spin of the electron. The possible values for m

_{s}are either

**–1/2 (spin down) or +1/2 (spin up)**.

###### Problem Details

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:

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Electron Configuration: Quantum Numbers concept. You can view video lessons to learn The Electron Configuration: Quantum Numbers Or if you need more The Electron Configuration: Quantum Numbers practice, you can also practice The Electron Configuration: Quantum Numbers practice problems .