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Chlorine has 17 electrons.

To find the four quantum numbers you first find N.

Chlorine's electron configuration is

1s^2 2s^2 2p^6 3s^2 3p^5

Chlorine's last electrons occupy the 3p subshell. Therefore N = 3

Next you find l (Lower Case L)

Every subshell letter has a numerical value. S=0 P=1 D=2 F=3 Until you reach (N-1)

Remembering the last electron ends in the 3p subshell, we find P=1 so l=1

Next we find the Magnetic Quantum Number which is anywhere from (-l)-0-(+l) in value. Finding this value requires more of an understanding of subshells. S subshells can hold 2 electrons, P subshells can hold 6, and D can hold 10. These occur in pairs of two.

Cl's electron configuration is 1s^2 2s^2 2p^6 3s^2 3p^5

Imagine each shell containing boxes that hold two electrons. Each box has a value.

Since 3p holds 6 electrons, it will have 3 boxes of two. Fill the boxes with one electron each as an up arrow, and then add a second electron as a down arrow from left to right, until you have used all 17 of Chlorine's electrons. If you do that it will look like this.

3p [II] [II] [I ]

The first box's Magnetic Quantum number will be -1 the middle will be 0 and the first will be +1. The last electron we drew was in the middle box, which equals 0.

To find ms or the Spin Magnetic Number you imagine the up arrows as +1/2 and down arrows as -1/2. Because the last electron drawn was a down arrow, it equals -1/2.

Consider all these numbers together and ...

Chlorine is as follows:

N:3 (Because of the 3 in 3p)

l:1 (Because p equals 1)

ml:0 (Because of where the final electron drawn ends)

ms: -1/2 (Because the last electron drawn was a down arrow)

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3mo ago

The magnetic quantum number (m) of chlorine is determined by the orientation of its electron within a magnetic field. It can have values ranging from -l to +l, where l is the principal quantum number. For the chlorine atom, the magnetic quantum number can take on values of -1, 0, or +1.

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Q: What is the magnetic quantum number of chlorine?
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