Quantum numbers naturally from the mathematics used to describe the possible sta

Question

Quantum numbers 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 (l), the magnetic quantum number (m), and the spin quantum number (m) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply. n = 5, l = 4, m = 1, m = +1/2 n = 4, l = 0, m = 1, m = -1/2 n = 6, l = 6, m = 0, m = -1/2 n = 2, l = 1, m = 0, m = 0 n = 3, l = 2, m = 0, m = +1/2 n = 3, l = -2, m = 0, m = +1/2

Explanation / Answer

n= principal quantum number
l= angular quantum number
ml= magnetic quantum number
mz= spin quantum number

The allowable values here are:

n= 1,2,3......n (n can not be zero)

l= can be any integer between 0 and (n-1)

m= can be anyinteger between -l to +l

mz= +1/2 and -1/2

So according to these rules , the allowable combinations of quantum number for an electron are-

n=5, l=4, ml=1, mz= +1/2

n=3, l=2, ml=0, mz= +1/2

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