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If an electron is in the state characterized by the quantum numbers n=4, l=0, wh
If an electron is in the state characterized by the quantum numbers n=4, l=0, what is the value of m_l?
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If an electron is in the state characterized by the quantum numbers n=4, l=0, what is the value of m_l?
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For l=0, m_l can only be 0.
Questions & Step-by-step Solutions
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Q: If an electron is in the state characterized by the quantum numbers n=4, l=0, what is the value of m_l?
Solution:
For l=0, m_l can only be 0.
Steps: 5
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Step 1: Understand the quantum number 'l'. It represents the angular momentum of the electron.
Step 2: The value of 'l' can be 0, 1, 2, etc. For 'l=0', this corresponds to an s orbital.
Step 3: The magnetic quantum number 'm_l' can take values from -l to +l, including 0.
Step 4: Since 'l=0', the only possible value for 'm_l' is 0 (because -0 to +0 is just 0).
Step 5: Therefore, if an electron is in the state characterized by n=4 and l=0, the value of m_l is 0.
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