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An orbital is described with the help of a wave function. Since many wave functions are possible for an electron, there are many atomic orbitals. When atom is placed in a magnetic field the possible number of orientations for an orbital of azimuthal quantum number 3 is:
  • a)
    Three
  • b)
    Two
  • c)
    Five
  • d)
    Seven
Correct answer is option 'D'. Can you explain this answer?
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An orbital is described with the help of a wave function. Since many w...
When l = 3, magnetic quantum number has 7 values ml = (2l + 1). These values are represented as -3, -2, -1, 0, +1, +2, +3
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An orbital is described with the help of a wave function. Since many w...

Number of Orientations for an Orbital of Azimuthal Quantum Number 3:




- The azimuthal quantum number, also known as the angular quantum number, determines the shape of the orbital.

- For an orbital with an azimuthal quantum number of 3 (l = 3), the possible orientations can be determined using the magnetic quantum number (m = -l, -l+1, ..., 0, ..., l-1, l).

- The number of possible orientations is given by the formula 2l + 1.

- Therefore, for an orbital with an azimuthal quantum number of 3, the number of possible orientations is 2(3) + 1 = 7.

- Hence, the correct answer is option 'D', which states that there are seven possible orientations for an orbital with an azimuthal quantum number of 3 when the atom is placed in a magnetic field.
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An orbital is described with the help of a wave function. Since many wave functions are possible for an electron, there are many atomic orbitals. When atom is placed in a magnetic field the possible number of orientations for an orbital of azimuthal quantum number 3 is:a)Threeb)Twoc)Fived)SevenCorrect answer is option 'D'. Can you explain this answer?
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