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Which of the following quantum numbers determines the orientation of the orbital?

  • A.\(n\)
  • B.\(l\)
  • C.\(m_{l}\)
  • D.\(m_{s}\)
  • E.both \(n\) and \(l\)

Answer: C

The orientation is given by the magnetic quantum number \(m_{l}\).

Each quantum number describes one feature of an orbital:

  • \(n\), the principal quantum number: the shell, size and energy.
  • \(l\), the azimuthal quantum number: the subshell and shape.
  • \(m_{l}\): the orientation in space. For \(l = 1\), \(m_{l} = -1, 0, +1\) are the three p orbitals along different axes.
  • \(m_{s}\): the spin of the electron, not a property of the orbital.

So neither \(n\) nor \(l\), alone or together, fixes the orientation.

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