Select the set of four quantum numbers that could possibly...

Select the set of four quantum numbers that could possibly represent the last electron added (using the Aufbau principle) to the Ni atom. n = 3, l = 1, ml = 0, ms = +1/2 n = 3, l = 2, ml = 3, ms = +1/2 n = 5, l = 1, ml = 1, ms = +1/2 n = 4, l = 3, ml = 3, ms = +1/2 n = 3, l = 2, ml = 2, ms = +1/2 Submit Request Answer

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00:02 Hi there.

00:03 In this question, we are looking for a set of four quantum numbers that could predict or could represent that last electron that is added to a nickel atom.

00:14 So to answer this, we need to talk first about the values that the orbital or that the quantum numbers can be.

00:21 Well, n is the principal quantum number, and that describes the energy level.

00:30 It can be any positive integer.

00:38 The next quantum number, l, is the angular one.

00:40 Momentum quantum number, and it describes the sub -shell.

00:45 It is also going to be an integer, but it's going to range from 0 to n minus 1.

00:56 So if n were 3, n minus 1 would be 2, an l could be 0, 1, or 2.

01:02 Furthermore, when l equals 0, that describes an s orbital.

01:06 When l equals 1, it's a p.

01:08 When l equals 2, it describes a d orbital, and when l equals 3, it would be in f orbit.

01:15 All right, the next quantum number, m sub l, is the magnetic quantum number.

01:20 It also is an integer, and it ranges from negative l to positive l.

01:29 So whatever l is, if l were three, m sub l could be negative three, negative two, negative one, zero, one, two, or three.

01:38 And finally, m sub s, that's the spin quantum number.

01:42 It refers to the electron and can be just one of two values.

01:46 Either positive one -half for a positive spin or negative one -half.

01:52 All righty.

01:53 So now we are working with nickel.

01:56 So let's look at our electron configuration, or abbreviated electron configuration for nickel.

02:02 Nickel's atomic number 28.

02:05 Therefore, i'm going to look at the period before nickel, which is the third period, and find the noble gas.

02:13 So by putting argon in brackets, that takes care of the first 18 core electrons.

02:19 And then we'll go across that fourth period until we get to nickel.

02:22 So that means we're going to fill in the 4s.

02:25 Then after the 4s comes the d, but remember d's, it's going to be the 3d...

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