Mention the number of unpaired electrons and geometry of the following complexes:
(i) \([NiCl_4]^{2-}\)
(ii) \([Ni(CN)_4]^{2-}\)
Convert the following:
(a) Ethanenitrile into ethanal.
(b) Cyclohexane into adipic acid.
- Oxidation State of Ni: \[ x + 4(-1) = -2 \Rightarrow x = +2 \] Thus, Ni is in the \( +2 \) oxidation state.
- Electronic Configuration of \( Ni^{2+} \): \[ [Ar] 3d^8 4s^0 \]
- Nature of Ligand:
- Chloride \( Cl^- \) is a weak field ligand, so it does not cause strong pairing.
- The tetrahedral geometry is favored.
- Unpaired Electrons & Hybridization:
- Hybridization: \( sp^3 \)
- Unpaired electrons: 2
- Geometry: Tetrahedral
- Oxidation State of Ni: \[ x + 4(-1) = -2 \Rightarrow x = +2 \] So, Ni is in the \( +2 \) oxidation state.
- Electronic Configuration of \( Ni^{2+} \): \[ [Ar] 3d^8 4s^0 \]
- Nature of Ligand:
- Cyanide \( (CN^-) \) is a strong field ligand, which causes pairing of electrons.
- The square planar geometry is preferred.
- Unpaired Electrons & Hybridization:
- Hybridization: \( dsp^2 \)
- Unpaired electrons: 0
- Geometry: Square Planar
Explain the construction of a spherical wavefront by using Huygens' principle.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.