A few years ago the synthesis of a salt containing the \(\mathrm{N}_{5}^{+}\) ion was reported. What is the likely shape of this ion-linear, bent, zigzag, tetrahedral, seesaw, or square-planar? Explain your choice.

Short Answer

Expert verified
The likely shape of the \(\mathrm{N}_{5}^{+}\) ion is tetrahedral.

Step by step solution

01

Determine the Lewis Structure

We first determine the Lewis structure of the \(\mathrm{N}_{5}^{+}\) ion. The Lewis structure is a simple depiction of covalent bonds and valence electrons in a molecule. With the N5+ ion, nitrogen has 5 valence electrons and it forms bonds with other 4 nitrogen atoms. This leaves it with a positive charge due to loss of an electron during bond formation.
02

Identify the central atom

From the Lewis structure, identify the central atom. Here, the central atom is Nitrogen.
03

Count valence electron pairs

Count the atoms attached to the central atom and lone pairs. The central Nitrogen is surrounded by four other Nitrogens and has no lone pairs.
04

Applying VSEPR theory

Use the VSEPR theory concept which states that electron pairs around an atom arrange themselves in such a way to minimize repulsion. Here, With 4 bonding pairs of electrons around the central nitrogen, it leads to a tetrahedral arrangement to minimize the repulsion between these electron pairs.
05

Predict the shape

Based on the VSEPR theory, the predicted shape of this molecule is tetrahedral as it minimizes the repulsion between the bonding pairs of electrons.

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