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With the help of CrT number of unpaired electron in a compound can be calculated and we can calculate its paramagnetic moment (due to spin only), by the formula:
\( \mu=\sqrt{n(n+2)} \) Bohr magneton (BM), where \( n \) is the number of unpaired electron in the complex. For spectral analysis the separation between \( t_{2 \mathrm{~g}} \) and \( e_{\mathrm{g}} \) orbitals, called ligand field splitting parameter \( \Delta_{0} \) (for octahedral complexes) should be known to us, which can be easily calculated by observing the absorption spectrum of one \( e^{-} \)complex figure shows the optical absorption spectrum of the \( \mathrm{d}^{1} \) hexaaquatitanium (III) ion \( \left[\mathrm{Ti}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+} \). The \( \mathrm{CF} T \) assigns the first absorption maximum at \( 20,300 \mathrm{~cm}^{-1} \) to the transition \( e_{Q} \leftarrow t_{2 \mathrm{a}} \). For multielectronic \( \left(\mathrm{d}^{2}\right. \) to \( \left.\mathrm{d}^{10}\right) \) system, the calculation of \( \Delta_{0} \) by absorption spectrum is not that easy as the absorption spectrum will also be affected by electron-electron repulsions.

The complex for which the calculation of crystal field splitting can be most easily done, by knowing its absorption spectrum, will be -
(A) \( \left[\mathrm{TiCl}_{6}\right]^{2-} \)
(B) \( \left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+} \)
(C) \( \left[\mathrm{Ti}(\mathrm{CN})_{6}\right]^{3-} \)
(D) \( \left[\mathrm{CoF}_{6}\right]^{3-} \)
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