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Which set of quantum numbers can represent a 5f orbital? My first choice was A because...

Which set of quantum numbers can represent a 5f orbital? My first choice was A because ℓ is equal to n-1 but this was incorrect. Can you please provide an explanation of of why A is incorrect.

A) n=4, ℓ=3, mℓ​ = 3

B) n=5, ℓ=3, mℓ​ = -2

C) n=5, ℓ=2, mℓ​ = 0

D) n=4, ℓ=2, mℓ​ = -3

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Homework Answers

Answer #1

5f orbital means the principal quantum number should atleast be 5. Hence n = 5

The subshell f also means Azimuthal quantum number, = 3

Azimuthal quantum number, = 0 represents 's' subshell

Azimuthal quantum number, = 1 represents 'p' subshell

Azimuthal quantum number, = 2 represents 'd' subshell

Azimuthal quantum number, = 3 represents 'f' subshell

Hence for 5f orbital, conditions for n and are

  • n = 5
  • = 3

the only option that satisfies these conditions is option B

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