How many radial nodes are there in

$5s$

$3p$

$5d$

$7f$

What are the angular node$($s$)$ of

$2px$

$2py$

$2pz$

$3d_{xz}$

Calculate the ligand field stabilization energy of the complex in the following cases: $($show your calculations$)$

a$)[Co(N{H}_3{)}_6{]}^{2+}($Consider $N{H}_3$ as a strong field ligand$)$

b$)[Co(H_{2}O{)}_6{]}^{2+}($Consider $H_{2}O$ as a weak field ligand$)$

a$)$ Calculate the ligand field stabilization energy of a high spin $d^4$ complex.

b$)$ Calculate the ligand field stabilization energy of a high spin $d^6,$ including the pairing energy.

Draw crystal field splitting diagram for $C{o}^{3+}($paramagnetic$)$ for an octahedral and tetrahedral crystal field with labeling the d$-$orbitals.

Give the relation between the crystal field splitting in octahedral and tetrahedral complexes.