Question

Which of the following sets of quantum numbers are allowed for an electron in an orbital of a hydrogen atom:

(a) n=1, l=1, m_l=0

(b) n=3, l=0, m_l=0

(c) n=4, l=1, m_l=-1

(d) n=2, l=1, m_l=2

Write the designation for the sublevel to which the orbital belongs.

Answer 1

a)

l must be less than n

Here value of n is 1

But value of l is 1

so, l can't be 1

Hence, this is not valid

Answer: not valid

b)

This is valid

l=0 means this is s orbital.

So, the designation is 3s

Answer: 3s

c)

This is valid

l=1 means this is p orbital.

So, the designation is 4p

Answer: 4p

d)

Value of l is 1

So, valid values of ml are [-1, 0, 1]

so, ml can't be 2

Hence, this is not valid

Answer: not valid