How To Determine The 4 Quantum Numbers From an Element or a Valence Electron

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Summary

This video explains how to find the four quantum numbers (n, l, ml, ms) for the last valence electron of a given element. It covers examples for fluorine, iron, and a hypothetical 4f5 electron, detailing how to derive each quantum number based on the electron's position and spin.

Highlights

Introduction to Quantum Numbers for Fluorine (2p5)
00:00:00

This section introduces the process of finding the four quantum numbers (n, l, ml, ms) focusing on the last valence electron. The example of fluorine, specifically its 2p5 electron, is used to demonstrate the steps. 'n' is determined from the principal energy level (2 in this case).

Determining 'l' and 'ml' for Fluorine (2p5)
00:00:33

The video explains how to find 'l' based on the subshell letter: s=0, p=1, d=2, f=3. For fluorine's 2p5 electron, 'l' is 1. It then clarifies that 'ml' values depend on 'l' (e.g., for l=1, ml can be -1, 0, or 1). orbitals are introduced as corresponding to 'ml' values. The filling of the 2p5 orbitals is shown to determine the 'ml' and 'ms' for the last electron.

Determining 'ms' for Fluorine (2p5)
00:01:42

By illustrating the electron configuration for 2p5, it's shown that the fifth electron lands in the 'ml' = 0 orbital. Since the arrow representing this electron is facing downward, 'ms' (electron spin) is -1/2.

Quantum Numbers for Iron (3d6)
00:02:16

A second example, iron with its 3d6 electron, is used. 'n' is 3 and 'l' is 2 (for d subshell). 'ml' can range from -2 to 2. The filling of the 3d orbitals is demonstrated to find the specific 'ml' for the sixth electron.

Determining 'ml' and 'ms' for Iron (3d6)
00:03:02

The sixth electron in the 3d subshell is shown to land in the 'ml' = -2 orbital. Since it's a down arrow, 'ms' is -1/2.

Quantum Numbers for a 4f5 Electron
00:03:28

A final example, a hypothetical 4f5 electron, is presented. 'n' is 4 and 'l' is 3 (for f subshell). 'ml' values range from -3 to 3. The process of filling the f orbitals is shown.

Determining 'ml' and 'ms' for a 4f5 Electron
00:03:57

The fifth electron in the 4f subshell lands in the 'ml' = 1 orbital. As it's an up arrow, 'ms' is +1/2. The video concludes by reiterating that these steps apply to any electron within an element.

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