Discuss the complex species $[Co(NH_3)_6]^{3+}$ based on Valence Bond Theory.

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(N/A) $1$. The central metal ion $Co^{3+}$ has an electronic configuration of $[Ar]3d^6$.
$2$. In the presence of the strong field ligand $NH_3$,the electrons in the $3d$ orbitals pair up,leaving two $3d$ orbitals vacant.
$3$. These two $3d$ orbitals,along with one $4s$ and three $4p$ orbitals,undergo $d^2sp^3$ hybridization to form six equivalent hybrid orbitals.
$4$. Six pairs of electrons from six $NH_3$ ligands occupy these hybrid orbitals,resulting in an octahedral geometry.
$5$. Since there are no unpaired electrons,the complex is diamagnetic.
$6$. Because the inner $3d$ orbitals are involved in hybridization,it is called an inner orbital complex or a low-spin complex.

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$Mn^{2+}$ forms a complex with $Br^{-}$ ion. The magnetic moment of the complex is $5.92 \ B.M.$ What could not be the probable formula and geometry of the complex?

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Match List-$I$ with List-$II$:
List-$I$ (Tetrahedral Complex) List-$II$ (Electronic configuration)
$A$. $TiCl_4$ $I$. $e^2, t_2^0$
$B$. $[FeO_4]^{2-}$ $II$. $e^4, t_2^3$
$C$. $[FeCl_4]^{-}$ $III$. $e^0, t_2^0$
$D$. $[CoCl_4]^{2-}$ $IV$. $e^2, t_2^3$

Choose the correct answer from the options given below:

Match the hybridisation in Column $I$ with the complexes in Column $II$. The options represent the matches for $(A), (B), (C), (D)$ respectively.
Column $I$Column $II$
$(A)$ $sp^3$$(i)$ $[Co(NH_3)_6]^{3+}$
$(B)$ $dsp^2$$(ii)$ $[Ni(CO)_4]$
$(C)$ $sp^3d^2$$(iii)$ $[Pt(NH_3)_2Cl_2]$
$(D)$ $d^2sp^3$$(iv)$ $[CoF_6]^{3-}$
$(v)$ $[Fe(CO)_5]$

The geometry possessed by $[Ni(CO)_4]$ is

The geometries of $[Ni(CO)_4]$,$[PtCl_4]^{2-}$ and $[Co(NH_3)_6]^{3+}$ respectively are

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