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The electronic configuration of chromium...

The electronic configuration of chromium (Z=24) is:

A

`[Ne]3s^(2)3p^(6)3d^(4)4s^(2)`

B

`[Ne]3s^(2)3p^(6)3d^(5)4s^(1)`

C

`[Ne]3s^(2)3p^(6)3d^(5)4s^(1)`

D

`[Ne]3s^(2)3p^(6)3d^(1)4s^(2)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the electronic configuration of chromium (Z=24), we need to follow these steps: ### Step 1: Understand the Atomic Number Chromium has an atomic number of 24, which means it has 24 electrons. ### Step 2: Fill the Electron Shells According to the Aufbau principle, electrons fill orbitals starting from the lowest energy level to the highest. The order of filling is as follows: 1. 1s 2. 2s 3. 2p 4. 3s 5. 3p 6. 4s 7. 3d ### Step 3: Fill the Orbitals We fill the orbitals in the order mentioned above until we reach 24 electrons: - 1s² (2 electrons) - 2s² (2 electrons) - 2p⁶ (6 electrons) - 3s² (2 electrons) - 3p⁶ (6 electrons) - 4s² (2 electrons) - 3d⁴ (4 electrons) At this point, we have filled 2 + 2 + 6 + 2 + 6 + 2 + 4 = 24 electrons, which would suggest an electronic configuration of 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d⁴. ### Step 4: Identify the Exception However, chromium is an exception to the expected filling order. Instead of having 3d⁴ 4s², it adopts a more stable configuration of 3d⁵ 4s¹. This is because half-filled and fully filled subshells are more stable due to electron exchange energy and symmetry. ### Step 5: Write the Final Configuration Thus, the correct electronic configuration for chromium is: \[ \text{Cr: } 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ 3d⁵ \] ### Conclusion The electronic configuration of chromium (Z=24) is: \[ \text{Cr: } [Ar] 4s¹ 3d⁵ \]
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