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Which of the following sets of quantum numbers is not allowed?
Which of the following sets of quantum numbers is not allowed?
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Practice Questions
1 question
Q1
Which of the following sets of quantum numbers is not allowed?
n=2, l=1, m_l=0
n=3, l=2, m_l=2
n=1, l=0, m_l=1
n=4, l=3, m_l=-3
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For l=0, m_l can only be 0. Therefore, n=1, l=0, m_l=1 is not allowed.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following sets of quantum numbers is not allowed?
Solution:
For l=0, m_l can only be 0. Therefore, n=1, l=0, m_l=1 is not allowed.
Steps: 7
Show Steps
Step 1: Understand what quantum numbers are. They describe the properties of electrons in an atom.
Step 2: Identify the four quantum numbers: n (principal), l (azimuthal), m_l (magnetic), and m_s (spin).
Step 3: Know the rules for quantum numbers: n can be any positive integer, l can be from 0 to n-1, and m_l can range from -l to +l.
Step 4: Focus on the case where l = 0. If l = 0, then m_l can only be 0.
Step 5: Check the given set of quantum numbers: n = 1, l = 0, m_l = 1.
Step 6: Since l = 0, m_l cannot be 1. It must be 0 instead.
Step 7: Conclude that the set of quantum numbers n = 1, l = 0, m_l = 1 is not allowed.
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