Exercise on n Validating Quantum Numbers: Solutions
Question: Which of the following is NOT an acceptable set of quantum numbers?
- n=1, l=0, ml=1, ms=− ½
Solution:
n=1 indicates one value of l that is 0. If l=0 them ml should be 0. Thus, this is NOT an acceptable set.
- n=2, l=1, ml=0, ms=+½
Solution:
n=2 indicates two values of l: 0 & 1.
For l = 0 then ml should be 1,0,− 1, and this is NOT an acceptable set.
- n=3, l=1, ml= − 1, ms= +½
Solution:
n=3 indicates three values of l: 0, 1, & 2. If l = 1, then ml should be 1,0,− 1, and this is NOT an acceptable set.
- n=4, l=3, ml= − 2, ms= − ½
Solution:
n=4 indicates four values of l: 0, 1, 2, & 3. If l = 3, then ml should be 3,2,1,0,− 1, − 2, − 3. And again, this is NOT an acceptable set.
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Date of last modification: Summer , 2019