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Which is a set of valid quantum numbers?
n = 4, l = 4, m = 4
n = 1, l = –2, m = 0
n = –1, l = 0, m = 0
n = 4, l = 3, m = 3

Respuesta :

Answer:

4th

Explanation:

n = 4, l = 4, m = 4   L cant be 4 when n is 4.

n = 1, l = –2, m = 0   L can only be positive integers such as 0,1,2,3,4,5

n = –1, l = 0, m = 0  n can only be positive integers or capital letters such as  K,L,M,N..

n = 4, l = 3, m = 3 these quantum numbers represent a subshell in 4f orbital

Histrionicus

A set of valid quantum numbers - n = 4, l = 3, m = 3

Using the definitions of the quantum numbers n, m, l that we use to describe the location of an electron inside an atom, we can determine which one is valid;

  • n' cannot be equal to 0, it always starts from 1, so n = –1, l = 0, m = 0 can not be valid.
  • l = n-1, so n = 1, l = –2, m = 0 and n = 4, l = 4, m = 4 can not be valid
  • m belongs to −l to +l
  • the absolute value of the magnetic quantum number cannot exceed the value of the angular momentum quantum number

              m   ≤  l

Thus, n = 4, l = 3, m = 3 are valid quantum numbers for an electron of an atom.

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