Question

4. What is the maximum number of electrons in an atom that can have the following set of quantum numbers? n 4/-3 m/=-2 ms= + 1 / 2 B) 1 C) 2 D) 6 E) 10 A)0

Answer 1

By the given quantum numbers we can get the number of electrons as n, l, m_l, m_s give information about the shell, subshell, orbital, spin respectively.

n (principal quantum number). = 4. (given) e Cangular quantum number) =3 (given). llo 2 3 subshell is td í. .. las indicated 'f' subthel In 'f' shell, 7 orbitals are present with me value - to +3. me a magnetica quantum number orbital m y +3 +2 +1 O -1 -2 -3 In me = 22 one up spin (mg = +42) and one down spin (mg=-1/2) is possible. mga magnetic spin quantum no mg = +1/2 (given) In an orbital of a subshell only I election. can be present having a spin of +1/2 . This is according to the Pauli Exclusion principle which states that no two electrons with exactly the same quantum numbers can exist. Therefore, maximum no. of elections in an atom that can have the given quantum number