Give reasons for (a) CO stretching frequencies are higher in \(\left[\mathrm{F}_{3} \mathrm{PNi}(\mathrm{CO})_{3}\right]\) than in \(\left[\mathrm{Me}_{3} \mathrm{PNi}(\mathrm{CO})_{3}\right]\). (b) Extent of \(\pi\) -bonding in \(\left[\mathrm{Ag}(\mathrm{CNR})_{4}\right.\) is higher than in \(\left[\mathrm{Fe}(\mathrm{CNR})_{6}\right]^{2+}\).

Short Answer

Expert verified
The CO stretching frequencies are higher in \([\mathrm{F}_{3}\mathrm{PNi}(\mathrm{CO})_{3}]\) than in \([\mathrm{Me}_{3}\mathrm{PNi}(\mathrm{CO})_{3}]\) due to the higher electronegativity of F compared to CH3, which strengthens the CO bond. The extent of \(\pi\)-bonding is higher in \(\left[\mathrm{Fe}(\mathrm{CNR})_{6}\right]^{2+}\) than \(\left[\mathrm{Ag}(\mathrm{CNR})_{4}\right.\) due to greater availability of d orbitals for \(\pi\)-bonding in Fe2+.

Step by step solution

01

Analyzing the CO stretching frequencies

The stretching frequency of a bond is directly related to the strength of the bond. A stronger bond vibrates or 'stretches' at a higher frequency. Here, it has been observed that the CO stretching frequencies in \([\mathrm{F}_{3}\mathrm{PNi}(\mathrm{CO})_{3}]\) are higher than in \([\mathrm{Me}_{3}\mathrm{PNi}(\mathrm{CO})_{3}]\). This suggests that CO bonds in the first compound are stronger than the latter.
02

Comparing the molecular structures

The two compounds differ only in the ligands attached to the P atom, F (fluorine) in one case and Me (methyl group) in the other. Fluorine is more electronegative than carbon (central atom in a methyl group). Therefore, \([\mathrm{F}_{3}\mathrm{PNi}(\mathrm{CO})_{3}]\) is able to pull electron density away from the Ni atom more effectively than \([\mathrm{Me}_{3}\mathrm{PNi}(\mathrm{CO})_{3}]\). This increases the positive charge on Ni in the first compound which then strengthens its bonds with CO, resulting in higher stretching frequencies.
03

Analyzing the \(\pi\)-bonding extent

The second part of the problem deals with the extent of \(\pi\)-bonding in \(\left[\mathrm{Ag}(\mathrm{CNR})_{4}\right.\) versus \(\left[\mathrm{Fe}(\mathrm{CNR})_{6}\right]^{2+}\). The extent of \(\pi\)-bonding depends on how many orbitals are available for overlapping and forming \(\pi\)-bonds.
04

Comparing the d orbitals

The Fe in \(\left[\mathrm{Fe}(\mathrm{CNR})_{6}\right]^{2+}\)has five d orbitals while the Ag in \(\left[\mathrm{Ag}(\mathrm{CNR})_{4}\right.\) has only one free d orbital due to its electronic configuration ([Kr] 4d10 5s1). Therefore, Fe2+ can participate in \(\pi\)-bonding with six CNR groups while Ag can only do so with one CNR group. This leads to higher extent of \(\pi\)-bonding in \(\left[\mathrm{Fe}(\mathrm{CNR})_{6}\right]^{2+}\) than in \(\left[\mathrm{Ag}(\mathrm{CNR})_{4}\right.\).

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