Question

Suppose that all you know about a certain electron is that its principal quantum number is 3. What are the possible values for the other four quantum numbers

Answer 1

For an electron with a principal quantum number of 3, the possible values for the other three quantum numbers are 1=0, m1=0, and ms can be either +1/2 or -1/2.

Step-by-step explanation:

The principal quantum number(n) is given as 3 for the electron. Apart from n, there are three other quantum numbers that describe the electron in an atom. The second quantum number, known as the azimuthal quantum number(1), can have integral values between 0 and n-1, so for n=3, 1 can have values 0, 1, or 2. The third quantum number, the magnetic quantum number(m1), can have 2l+1 integral values ranging from -l to +l, so for l=0, 1 can have the value of 0. Finally, the fourth quantum number, the spin quantum number(ms), can have only two values, +1/2 or -1/2. Therefore, for an electron with a principal quantum number of 3(n=3), the possible values for the other three quantum numbers are 1=0, m1=0, and ms can be either +1/2 or -1/2.

Answer 2

Other possible quantum numbers would be.

A). When n = 3,

I = 0,

m1 = 0

ms = +1/2 or -1/2

B). When I = 1,

m1 = -1 or +1

ms = +1/2 or -1/2

C). When I = 2

m1 = -2,-1,0,1 or 2

ms = +1/2 or -1/2.