   Chapter 30, Problem 37PE

Chapter
Section
Textbook Problem

What are the possible values of m 1 for an electron in the n = 4 state?

To determine

The possible values of ml for an electron in the n=4 state.

Explanation

Given Data:

Given atom has an electron in the n=4 state

Formula Used:

Angular momentum should always be smaller than the principal quantum number and also the value of the projection of angular momentum should be either equal to or less than angular momentum.

Thus, we have

l<n

And |ml|l

Here, l= angular momentum number

n= principal quantum number

ml= angular momentum projection quantum number

Also, we have n=l+1 s

Calculation:

Given that atom has an electron in the n=4 state.

For n=4 , possible values of angular quantum number is

l=0,1,2

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