Chapter 13: Problem 42
(A) Al forms \(\left[\mathrm{AlF}_{6}\right]^{3-}\) but \(\mathrm{B}\) does not form \(\left[\mathrm{BF}_{6}\right]^{2}\). (R) B does not react with fluorine.
Short Answer
Expert verified
B does not form \(\left[\mathrm{BF}_{6}\right]^{2-}\) due to electronic and structural limitations, not lack of reactivity with fluorine.
Step by step solution
01
Analyze the Given Compounds
Examine the given compounds \(\left[\mathrm{AlF}_{6}\right]^{3-}\) and \(\left[\mathrm{BF}_{6}\right]^{2-}\). These anions are examples of metal fluoro complexes. Note that \(\mathrm{Al}\) forms a stable hexafluoro complex while \(\mathrm{B}\) does not.
02
Understand Electron Configurations
Consider the electronic configuration of aluminum (\(\mathrm{Al}\)) which is \([\mathrm{Ne}] 3s^2 3p^1\) and that of boron (\(\mathrm{B}\)) which is \([\mathrm{He}] 2s^2 2p^1\). Aluminum can have empty orbitals available for bonding with \(\mathrm{F}\) ligands, whereas boron cannot achieve such a stable configuration with \(\mathrm{F}_{6}^{2-}\).
03
Consider the Structure and Bonding
Analyze the octahedral geometry required by \(\left[\mathrm{AlF}_{6}\right]^{3-}\). This requires aluminum to utilize d-orbitals for bonding, which are available in the third period, unlike in boron which only has s and p orbitals conducive for trigonal or tetrahedral geometry (e.g., \(\mathrm{BF}_3\) or \(\mathrm{BF}_4^-\)).
04
Evaluate Reactivity with Fluorine
Consider the statement regarding boron's reactivity with fluorine. While boron does react with fluorine, forming compounds like \(\mathrm{BF}_3\), it does not go beyond that to form a stable hexafluoride analogous to \(\left[\mathrm{AlF}_{6}\right]^{3-}\). Hence, boron does react with fluorine, contradicting the given reason \(\mathrm{R}\).
05
Conclusion on Statement Validity
Since boron does react with fluorine to form compounds such as \(\mathrm{BF}_3,\) the reason given as \(\mathrm{R}:\) 'B does not react with fluorine' is incorrect in the context of explaining why \(\mathrm{B}\) does not form \(\left[\mathrm{BF}_{6}\right]^{2-}\). The inability to form \(\left[\mathrm{BF}_{6}\right]^{2-}\) is due to the electronic and steric factors, not reactivity.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Boron Reactivity
In chemistry, the reactivity of boron is often a topic of interest. Boron, being a non-metal, does engage in reactions with fluorine, one of the most electronegative elements. This reaction is quite robust and leads to the formation of boron trifluoride (\(\mathrm{BF}_3\)). Understanding boron’s reactivity can help in knowing why it does not form larger complexes like hexafluoro complexes.
- Boron reacts with fluorine to form simple compounds.
- It does not extend to forming \(\mathrm{BF}_6^{2-}\), despite its ability to react with fluorine.
Electron Configuration
Electron configuration is a vital concept in determining the chemical bonding and geometry potential of an element. For \(\mathrm{Boron}\), the electron configuration is \([\mathrm{He}] 2s^2 2p^1\). This setup offers only three electrons available to form bonds, often resulting in compound geometries like trigonal planar seen in \(\mathrm{BF}_3\).
In contrast, \(\mathrm{Aluminum}\), with the electron configuration of \([\mathrm{Ne}] 3s^2 3p^1\), enjoys a much more sprawling capability for bonding:
In contrast, \(\mathrm{Aluminum}\), with the electron configuration of \([\mathrm{Ne}] 3s^2 3p^1\), enjoys a much more sprawling capability for bonding:
- Additional electrons and potential orbitals available for bonding.
- Can have empty orbitals participate in forming bigger complexes.
Octahedral Geometry
The concept of octahedral geometry is critical when analyzing metal fluoro complexes such as \(\left[\mathrm{AlF}_{6}\right]^{3-}\). This geometry involves six ligands symmetrically arranged around a central atom, often requiring d-orbitals for such coordination.
Aluminum, being in the third period, has accessible d-orbitals that can partake in the formation of an octahedral structure:
Aluminum, being in the third period, has accessible d-orbitals that can partake in the formation of an octahedral structure:
- Provides the spatial arrangement to bind six fluorines.
- Achieves stability through such arrangements.
Metal Fluoro Complexes
Metal fluoro complexes are formed when metals bond with fluorine atoms, often resulting in intriguing geometries and chemical properties. Aluminum in \(\left[\mathrm{AlF}_{6}\right]^{3-}\), for instance, forms a stable fluoro complex due to its ability to coordinate with six fluorines in an octahedral geometry.
- Exploit available d-orbitals for extensive bonding.
- Stabilized through symmetric arrangement and electrostatic forces.