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Which of the following properly represents the order of orbital filling based on the relative energy of the orbitals?

A) 1s, 2s, 2p, 3s, 3p, 3d, 4s, 4p
B) 1s, 2s, 2p, 3s, 3d, 3p, 4s, 4p
C) 1s, 2s, 3s, 4s, 2p, 3p, 4p, 3d
D) 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p

Answer :

To find the correct order of orbital filling based on the relative energy of the orbitals, we'll follow the Aufbau principle. This principle helps us understand the sequence in which electron orbitals are filled.

Here's a step-by-step breakdown:

1. Understand the Sequence: According to the Aufbau principle, electrons fill the lowest energy orbitals first before moving to higher energy orbitals. The order is based on the sum of the n (principal quantum number) and l (azimuthal quantum number) values. Lower values fill first.

2. List the Order: The general order for filling orbitals is as follows:
- 1s
- 2s
- 2p
- 3s
- 3p
- 4s
- 3d
- 4p

3. Compare with Options:
- Option A: 1s 2s, 2p, 3s, 3p, 3d, 4s, 4p
- Option B: 1s 2s, 2p, 3s, 3d, 3p, 4s, 4p
- Option C: 1s, 2s, 3s, 4s, 2p, 3p, 4p, 3d
- Option D: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p

4. Determine the Correct Option:
- The correct order, following the Aufbau principle, is 1s, 2s, 2p, 3s, 3p, 4s, 3d, and 4p.

Upon comparison, Option D matches this correct sequence of orbital filling.

Therefore, the correct choice is Option D: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p.

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