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Question

The shape of the orbital is determined by a quantum number which is represented by a symbol:

A
l
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B
n
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C
m
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D
s
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Solution

The correct option is A l
The principal quantum number, n (the energy level)
  • determines the size of an orbital (larger n = bigger orbitals)
  • largely determines the energy of the orbital (larger n = higher energy)
  • can take on integer values n = 1, 2, 3, ...,
  • all electrons in an atom with the same value of n are said to belong to the same principal energy level

The azimuthal quantum number, l (the sub level)
  • designates the overall shape of the orbital within a shell

  • affects orbital energies (larger = higher energy)

  • all electrons in an atom with the same value of are said to belong to the same sublevels

  • only integer values between 0 and n-1 are allowed

  • sometimes called the orbital angular momentum quantum number

  • spectroscopists use the following notation for sublevels

The magnetic quantum number, m (the orbital (box) the electron is in)
  • determines the orientation of orbitals within a sublevel.

  • does not affect orbital energy (except in magnetic fields!)

  • only integer values between -l and +l are allowed

  • the number of m values within a sublevel is the number of orbitals within a sublevel


The spin quantum number, ms (the direction of the arrow)
  • several experimental observations can be explained by treating the electron as though it were spinning

  • spin makes the electron behave like a tiny magnet

  • spin can be clockwise or counterclockwise

  • the spin quantum number can have values of +1/2 or -1/2 (arrow up or arrow down)


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