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The structures of \(\left[\mathrm{NMe}_{4}\right]\left[\mathrm{HF}_{2}\right]\) and \(\left[\mathrm{NMe}_{4}\right]\left[\mathrm{H}_{2} \mathrm{F}_{3}\right]\) have been determined by X-ray diffraction. The table below shows selected structural data; all F-H-F angles are between 175 and \(178^{\circ}\) Parameter \(\quad\left[\mathrm{NMe}_{4}\right]\left[\mathrm{HF}_{2}\right] \quad\left[\mathrm{NMe}_{4}\right]\left[\mathrm{H}_{2} \mathrm{F}_{3}\right]\) F-H distances \(\quad 112.9 / 112.9 \mathrm{pm} \quad 89 / 143 \mathrm{pm}\) F- - -F- - -F angles \(125.9^{\circ}\) From the data given, draw the structures of the anions in \(\left[\mathrm{NMe}_{4}\right]\left[\mathrm{HF}_{2}\right]\) and \(\left[\mathrm{NMe}_{4}\right]\left[\mathrm{H}_{2} \mathrm{F}_{3}\right],\) and say what you can about the bonding in these species.

Short Answer

Expert verified
[HF鈧俔鈦 has a linear structure with equal F-H bonds, while [H鈧侳鈧僝鈦 shows an angular structure with unequal F-H bonds.

Step by step solution

01

Understand the Structural Information for [NMe鈧刔[HF鈧俔

The compound \([\mathrm{NMe}_4][\mathrm{HF}_2]\) consists of a \( [\mathrm{HF}_2]^鈭 \) anion. From the data, the two F-H bond lengths are both 112.9 pm, indicating that they are of equal length. The angle formed between the F-H-F atoms is linear, ranging between 175掳 and 178掳, almost 180掳, which is typical for diatomic interactions with linear geometry.
02

Draw the [HF鈧俔鈦 Anion Structure

The \([\mathrm{HF}_2]^鈭抃) anion should be drawn as F-H-F, with the H atom centrally positioned between two F atoms. Since both F-H bond lengths are equal, it indicates a symmetrical structure with a linear geometry, confirming the linear F-H-F arrangement.
03

Understand the Structural Information for [NMe鈧刔[H鈧侳鈧僝

The compound \([\mathrm{NMe}_4][\mathrm{H}_2\mathrm{F}_3]\) consists of a \( [\mathrm{H}_2\mathrm{F}_3]^鈭 \) anion. It has differing F-H distances of 89 pm and 143 pm, indicating two significantly different bond lengths. The F-F-F angle is given as 125.9掳, which suggests a bent or angular triatomic interaction for the F atoms.
04

Draw the [H鈧侳鈧僝鈦 Anion Structure

The \([\mathrm{H}_2\mathrm{F}_3]^鈭抃) anion can be represented by three hydrogen bonds and described as a distorted triangle. The central F atom is connected via hydrogen bonds to two H atoms, with one bond much shorter (89 pm) than the other (143 pm). The outer two F atoms form a 125.9掳 angle, making the structure angular rather than linear.
05

Analyze Bonding Differences Between Anions

In \([\mathrm{HF}_2]^鈭抃), the equal bond lengths and linear geometry suggest a symmetric hydrogen-bonded ion. For \([\mathrm{H}_2\mathrm{F}_3]^鈭抃), the differing bond lengths and angular structure imply a complexed ion with stronger hydrogen bonding in one part of the ion than the other, potentially due to differing strengths of interaction or bond angle strain.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

X-ray diffraction
X-ray diffraction is a powerful technique used to determine the structure of crystalline materials by analyzing how X-rays scatter when they pass through a crystal lattice. This method provides information about the atomic arrangement, including the distances between atoms and the angles at which they are bonded.

In the context of inorganic chemistry, X-ray diffraction is essential for identifying the molecular and ionic structures of compounds. It can distinguish small differences in atomic positions and bonding angles. By examining the diffraction patterns, scientists can deduce the positions of atoms within a molecule and the geometry of complex anions, as seen with the compounds [NMe鈧刔[HF鈧俔 and [NMe鈧刔[H鈧侳鈧僝.

These studies reveal the linear F-H-F bonding in [HF鈧俔鈦 with nearly equal bond lengths and the nonlinear, angular structure in [H鈧侳鈧僝鈦 with varied bond lengths, showcasing the precision and utility of X-ray diffraction in structural chemistry.
Anion structures
Anions are negatively charged ions, formed when an atom gains one or more electrons. The structural configuration of anions can significantly influence a compound's properties.

In inorganic compounds like [NMe鈧刔[HF鈧俔 and [NMe鈧刔[H鈧侳鈧僝, understanding anion structures is crucial. The [HF鈧俔鈦 anion has a symmetric linear structure due to its equal F-H bond lengths and linear F-H-F angle, indicating uniform charge distribution and strong hydrogen bonds. This symmetry contributes to the stability of the compound.

Conversely, the [H鈧侳鈧僝鈦 anion exhibits an asymmetric bent structure with unequal F-H bond lengths, forming a distorted triangle. This results in uneven charge distribution and complex hydrogen bonding interactions. These variations in structure highlight how anion configurations impact molecular geometry and bonding characteristics.
Hydrogen bonding
Hydrogen bonding is a type of non-covalent interaction critical for the stability and structure of many chemical compounds. It occurs when a hydrogen atom, covalently bonded to a highly electronegative atom like fluorine, nitrogen, or oxygen, experiences attraction to another electronegative atom.

The compounds [NMe鈧刔[HF鈧俔 and [NMe鈧刔[H鈧侳鈧僝 demonstrate intriguing hydrogen bonding patterns. In [HF鈧俔鈦, the hydrogen atom is evenly positioned between two fluorine atoms, creating equal hydrogen bonds on each side. This results in a stable, linear configuration due to symmetrical hydrogen bonding.

In contrast, [H鈧侳鈧僝鈦 features two distinct hydrogen bonds, with one being significantly stronger than the other, evidenced by the different F-H bond lengths. This accounts for the bent structure and suggests uneven distribution of bond strength. Such differences in hydrogen bonding can affect the compound's physical and chemical properties, reflecting the diversity of hydrogen bonding interactions in inorganic molecules.
Molecular geometry
Molecular geometry refers to the spatial arrangement of atoms within a molecule or ion. It is determined by bond lengths, bond angles, and electron pair repulsions as described by the Valence Shell Electron Pair Repulsion (VSEPR) theory.

In [NMe鈧刔[HF鈧俔, the molecular geometry of the [HF鈧俔鈦 anion is linear due to the equal F-H bond lengths and the large F-H-F bond angles close to 180掳. Such a linear geometry results from the absence of lone pairs on hydrogen and the symmetrical nature of the bonding.

The [H鈧侳鈧僝鈦 anion presents an angular molecular geometry, influenced by different F-H bond lengths and an F-F-F angle of around 125.9掳. This geometry is shaped by unequal bond strengths and the strain caused by deviation from linearity. These examples illustrate how molecular geometry is intricately linked to the material's bonding structure and overall stability, shedding light on the complex interactions within molecules.

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Most popular questions from this chapter

Discuss the bonding in \(\mathrm{BeH}_{2}\) in terms of a suitable hybridization scheme. Relate this to a bonding description for \(\mathrm{Ga}_{2} \mathrm{H}_{6}\)

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