For the quantum state with n=3, l=1, how many possible values can m_l take?
Practice Questions
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For the quantum state with n=3, l=1, how many possible values can m_l take?
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Questions & Step-by-Step Solutions
For the quantum state with n=3, l=1, how many possible values can m_l take?
Step 1: Identify the quantum numbers given in the question. Here, n=3 and l=1.
Step 2: Understand what the quantum number l represents. The value of l determines the shape of the orbital and can take values from 0 to n-1.
Step 3: Since l=1, we can find the possible values for m_l. The magnetic quantum number m_l can take values from -l to +l.
Step 4: Calculate the possible values for m_l. For l=1, m_l can be -1, 0, and +1.
Step 5: Count the possible values. The values are -1, 0, and 1, which gives us a total of 3 possible values.
Quantum Numbers – Quantum numbers describe the properties of atomic orbitals and the electrons in those orbitals. The principal quantum number (n) indicates the energy level, the azimuthal quantum number (l) indicates the subshell, and the magnetic quantum number (m_l) indicates the orientation of the orbital.
Magnetic Quantum Number (m_l) – The magnetic quantum number (m_l) can take integer values ranging from -l to +l, including zero. This means for a given l, the number of possible m_l values is 2l + 1.
