Question

Difficulty: MediumElectronic Configuration, Orbitals, and Quantum Rules

What is the ground-state electronic configuration of the chromium(III) ion, Cr3+Cr^{3+}? (Atomic number of Cr=24Cr = 24)

  1. 1s22s22p63s23p63d31s^2 2s^2 2p^6 3s^2 3p^6 3d^3Answer
  2. B
    1s22s22p63s23p63d14s21s^2 2s^2 2p^6 3s^2 3p^6 3d^1 4s^2
  3. C
    1s22s22p63s23p63d24s11s^2 2s^2 2p^6 3s^2 3p^6 3d^2 4s^1
  4. D
    1s22s22p63s23p63d41s^2 2s^2 2p^6 3s^2 3p^6 3d^4

Answer

1s22s22p63s23p63d31s^2 2s^2 2p^6 3s^2 3p^6 3d^3
Neutral chromium (Z=24Z = 24) has the ground-state electron configuration 1s22s22p63s23p63d54s11s^2 2s^2 2p^6 3s^2 3p^6 3d^5 4s^1. When forming the Cr3+Cr^{3+} ion, three electrons must be removed. Outer shell (4s4s) electrons are lost first, followed by (n1)d(n-1)d electrons. Removing one electron from 4s4s and two from 3d3d gives the configuration 1s22s22p63s23p63d31s^2 2s^2 2p^6 3s^2 3p^6 3d^3.

Step-by-Step Solution

1
Determine the electronic configuration of neutral chromium (CrCr)
Ground state CrCr (Z=24Z = 24) is 1s22s22p63s23p63d54s11s^2 2s^2 2p^6 3s^2 3p^6 3d^5 4s^1
Chromium exhibits an anomalous configuration due to the extra stability of a half-filled 3d3d subshell.
2
Apply the rule for cation formation in transition metals
Electrons in the outermost shell (n=4n=4, 4s4s subshell) are lost before electrons in the inner subshell (n=3n=3, 3d3d subshell).
The 4s4s electrons experience lower effective nuclear attraction in the ionized state and are situated at a higher principal energy level.
3
Remove 3 electrons to form Cr3+Cr^{3+}
Remove 1 electron from 4s4s and 2 electrons from 3d3d: (3d54s1)3e=3d34s0(3d^5 4s^1) - 3e^- = 3d^3 4s^0
Removing 1 electron from 4s4s leaves 3d53d^5; removing two more from 3d3d leaves 3d33d^3.

Key Concept

Electronic configuration of d-block transition metal cations
Estimated Time:1m 0s
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