Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: What are the possible values of n and ml for an el...

Solution: What are the possible values of n and ml for an electron in a 5d orbital ? A) n = 5 and ml = -2, -1, 0, +1, or +2 B) n = 1, 2, 3, 4, or 5 and ml = 2 C) n = 5 and ml = 2 D) n = 1, 2, 3, 4, or 5 and ml = -2, -1, 0, +1, or +2

Problem

What are the possible values of n and ml for an electron in a 5d orbital ? 

A) n = 5 and ml = -2, -1, 0, +1, or +2 

B) n = 1, 2, 3, 4, or 5 and ml = 2 

C) n = 5 and ml = 2 

D) n = 1, 2, 3, 4, or 5 and ml = -2, -1, 0, +1, or +2

Solution

To solve this problem, let’s first define the values of the first three quantum numbers:

  • principal quantum number (n) energy level in orbitals and its value could be any positive integerstarting from 1 to infinity
  • angular momentum quantum number (→ (l) has to be at least 1 less than n,range of values from 0 up to (n-1)
  • magnetic quantum number (m)→ range of values from - to +.

Analyzing 5d orbital:

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