Which are the four quantum numbers for an electron present in 4f orbital?

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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 03 Aug, 2023 Shift 1)
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  1. n = 4, I = 3, m = +1, s = +1/2
  2. n = 3, I = 2, m = -2, s = +1/2
  3. n = 4, I = 4, m =-4, s = -1/2
  4. n = 4, I = 3, m = +4, s = +1/2

Answer (Detailed Solution Below)

Option 1 : n = 4, I = 3, m = +1, s = +1/2
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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The correct answer is n = 4, I = 3, m = +1, s = +1/2.Key Points

  • The four quantum numbers for an electron present in 4f orbital are n = 4, l = 3, m = +1, and s = +1/2.
  • The principal quantum number (n) indicates the energy level of the electron, and for 4f orbital, it is 4.
  • The azimuthal quantum number (l) determines the shape of the orbital, and for f orbital, it can have values from 0 to n-1, which gives l = 3.
  • The magnetic quantum number (m) specifies the orientation of the orbital in space and can have values from -l to +l, which gives m = +1 for the 4f orbital.
  • The spin quantum number (s) describes the intrinsic angular momentum of the electron and can have two values, +1/2 or -1/2, for the electron in 4f orbital, it is +1/2.

Additional Information

  • Quantum Numbers are a set of numbers that describe the properties of an electron in an atom, including its energy level, orbital shape, orientation, and spin.
  • The characteristics of atomic orbitals and the electrons within them are described by quantum numbers.
  • There are four quantum numbers that represent the states of an electron in an atom or an ion.
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