Question 25 of 62intermediate🔧 ApplyShort Answer2 marks

An electron is in one of the 3d orbitals. Give the possible values of n, l and mₗ for this electron.

Correct Answer

For an electron in a 3d orbital, the possible values are: n = 3, l = 2, and m_l = −2,−1,0,+1,+2-2, -1, 0, +1, +2.

Exercise: EXERCISES | Q: 2.25 | (Page 41)
For More Understanding

Explanation

The principal quantum number n corresponds to the shell number, so for 3d, n=3. The azimuthal quantum number l determines the subshell; for a d orbital, l=2. The magnetic quantum number ml determines the orbital's orientation and has (2l+1) values, which for l=2 gives five values: -2, -1, 0, +1, +2.

Solution Steps

  1. Step 1: Identify the principal quantum number n from the shell number. For 3d, n = 3.

  2. Step 2: Identify the azimuthal quantum number l from the subshell notation. For a d orbital, l = 2.

  3. Step 3: Calculate the possible values of the magnetic quantum number m_l using the relation (2l+1)(2l+1). For l=2l = 2, m_l can be −2,−1,0,+1,+2-2, -1, 0, +1, +2.

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