Quantum numbers arise naturally from the mathematics used to describe the possib

Question

Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (f), the magnetic quantum number (m_t)t and the spin quantum number (m_s) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply. n = 4, l =, m_l = 0, m_s = -1/2 n = 4, l =, m_l = 3, m_s = -1/2 n =2, l = 1, m_l = -1, m_s = 1 n = 5, l = 1, m_l = -1, m_s = 1 n = 5, l = 2, m_l = 2, m_s = +1/2 n = 3, l = -1, m_l = 1, m_s = +1/2

Explanation / Answer

1, it is not an allowed combination since angular momentum quantum number never be equal to principle quantum number

2.it is also not an allowed combination since magnetic quantum number exceeded angular momentum quantum number.

3. it is also not allowed since spin quantum number takes only 2 values +1/2 and -1/2 but not 1

4. it is an allowed combination

5. it is not an allowed combination since angular momentum quantum number has a negative value

6. it is an allowed combination

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