[Cr(H_2O)_6]Cl_3 (at. No. of Cr = 24) has a magnetic moment of 3.83 BM, the correct distribution of 3d electrons in the chromium of the complex is : - Chemistry MCQ Chemistry | ExamTest.live | ExamTest.live

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[Cr (H_{2} O)_{6}] Cl_{3} (at. No. of Cr = 24) has a magnetic moment of 3.83 BM, the correct distribution of 3 d electrons in the chromium of the complex is :

A $3 d_{x^{2} - y^{2}}^{1}, 3 d_{z^{2}}^{1}, 3 d_{x y}^{1}$
B $3 d_{x y}^{1}, 3 d_{x^{2} - y^{2}}^{1}, 3 d_{yz}^{1}$
C $3 d_{x y}^{1}, 3 d_{zy}^{1}, 3 d_{x z}^{1}$
D $3 d_{x y}^{1}, 3 d_{yz}^{1}, 3 d_{z^{2}}^{1}$

Solution & Step-by-step Explanation

Chromium in this complex is in a + 3 oxidation state, thus having a 3 d^{3} electronic configuration. According to Crystal Field Theory for an octahedral complex, the d orbitals split into lower energy t_{2 g} (d_{x y}, d_{yz}, d_{x z}) and higher energy e_{g} (d_{x^{2} - y^{2}}, d_{z^{2}}) orbitals. The three electrons occupy the degenerate t_{2 g} orbitals singly.

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[Cr (H_{2} O)_{6}] Cl_{3} (at. No. of Cr = 24) has a magnetic moment of 3.83 BM, the correct distribution of 3 d electrons in the chromium of the complex is :

A

3 d_{x^{2} - y^{2}}^{1}, 3 d_{z^{2}}^{1}, 3 d_{x y}^{1}

B

3 d_{x y}^{1}, 3 d_{x^{2} - y^{2}}^{1}, 3 d_{yz}^{1}

C

3 d_{x y}^{1}, 3 d_{zy}^{1}, 3 d_{x z}^{1}

D

3 d_{x y}^{1}, 3 d_{yz}^{1}, 3 d_{z^{2}}^{1}

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