Question

identify which sets of quantrum numbers are valid for an electron. Each set is ordered (n,l,ml,ms)

2,1,0,1/2 Every electron in an atom is described by a unique set of four quantum numbers:n, 2.me, and Ms. The principal quantum number, 72, identifies the shell in which the electron is found. The angular momentum quantum number, 2, indicates the kind of subshell. The magnetic quantum number, my, distinguishes the orbitals within a subshell. The spin quantum number, my, specifies the electron spin. 1,-1,-1,-1/2 3,0,0,1/2 3,2,1,-1 0 :43,-4,1/2 4,3,1,-1/2 0,2,1,1/2 2,2,-1, 1/2 3,2,-2,1/2 2.2.1.1/2 OOOOO 3,2,0,1/2 1,3,0,1/2 Submit

Answer 1

Principal Quantum number :- n :- n>0

Momentum Quantum number :- l :- 0 <= l <= (n-1)

Magnetic Quantum number :- m_l :- -l <= m_l <= +l

Spin Quantum number :- m_s :- +1/2 ; -1/2

1. (2,1,0,1/2) :- Valid quantum numbers because they satisfies all the above mentioned conditions.

2. (1,-1,-1,-1/2) :- Not valid quantum numbers because here l<0.

3. (3,0,0,1/2) :- Valid quantum numbers because they satisfies all the above mentioned conditions.

4. (3,2,1,-1) :- Not valid quantum numbers because m_s can only be +1/2 & -1/2. m_l cannot be -1.

5. (4,3,-4,1/2) :- Not valid quantum numbers because -l <= m_l <= +l. Here m_l cannot be less than -3.

6. (4,3,1,-1/2) :- Valid quantum numbers because they satisfies all the above mentioned conditions.

7. (0,2,1,1/2) :- Not valid quantum numbers because n>0. n cannot be 0.

8. (2,2,-1,1/2) :- Not valid quantum numbers because 0 <= l <= (n-1). l cannot be equal to n.
9. (3,2,-2,1/2) :- Valid quantum numbers because they satisfies all the above mentioned conditions.

10. (2,2,1,1/2) :- Not valid quantum numbers because 0 <= l <= (n-1). l cannot be equal to n.

11. (3,2,0,1/2) :- Valid quantum numbers because they satisfies all the above mentioned conditions.

12. (1,3,0,1/2) :- Not valid quantum numbers because 0 <= l <= (n-1). l cannot be greater than n.