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 electro in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (phi). the magnetic quantum number (m_l). 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, phi = 3, m_l = 4, m_s = - 1/2 n = 3, phi = 3, m_l = -1, m_s = -1/2 n = 3, phi = -1, m_t = -1, m_s = +1/2 n = 5, phi = 3, m_t = 1, m_s = -1/2 n = 2, phi = 0, m_t = 0, m_s = 0 n = 3, phi = 1, m_t = -1, m_s = +1/2

Explanation / Answer

n=4 l=3 ml = 4 ms = -1/2: Not Allowed

The value of ml cannot be more than l

n=3 l=3 ml = -1 ms = -1/2: Not Allowed

The value of l cannot be equal to n

n=3 l=-1 ml =-1 ms = +1/2: Not Allowed

The allowed values of l are 0, 1 and 2 (here ml is given as -1)

n=5 l=3 ml = 1 ms = -1/2: Allowed

n=2 l=0 ml = 0 ms = 0: Not Allowed

The allowed values of ms are +1/2 and -1/2

n=3 l=1 ml = -1 ms = +1/2 : Allowed

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