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Consider the following three complexes (Complex 1) \(\left[\mathrm{Co}\left(\mathrm{NH}_{2}\right)_{5} \mathrm{SCN}\right]^{2+}\) (Complex 2) \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{3} \mathrm{Cl}_{3}\right]^{2+}\) (Complex 3) \(\mathrm{CoClBx}+5 \mathrm{NH}_{3}\) Which of the three complexes can have (a) geometric isomers, (b) linkage isomers, (c) optical isomers, (d) coordinationsphere isomers?

Short Answer

Expert verified
In summary: - Complex 1 \(\left[\mathrm{Co}\left(\mathrm{NH}_{2}\right)_{5}\mathrm{SCN}\right]^{2+}\) can have linkage and optical isomers. - Complex 2 \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{3}\mathrm{Cl}_{3}\right]^{2+}\) can have geometric isomers. - Complex 3 \(\mathrm{CoClBx}+5 \mathrm{NH}_{3}\) can have coordination sphere isomers, and it’s unclear whether it can form geometric or linkage isomers without more information about the Bx ligand.

Step by step solution

01

Complex 1:

\(\left[\mathrm{Co}\left(\mathrm{NH}_{2}\right)_{5} \mathrm{SCN}\right]^{2+}\) a) Geometric Isomers: Due to only one different ligand (SCN) being present, there are no geometric isomers for this complex. b) Linkage Isomers: The SCN ligand has the potential to bind through the S or N atom, so it can exhibit linkage isomers. c) Optical Isomers: The complex has an octahedral geometry. With five identical and one different ligand, there is no center of symmetry, and the complex can show optical isomers. d) Coordination Sphere Isomers: There are no other species present; therefore, coordination sphere isomers cannot form.
02

Complex 2:

\(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{3} \mathrm{Cl}_{3}\right]^{2+}\) a) Geometric Isomers: Three NH3 ligands and three Cl ligands in an octahedral geometry can be arranged as fac-isomer or mer-isomer. Therefore, the complex has geometric isomers. b) Linkage Isomers: Neither NH3 nor Cl possess different donor sites to bind the central metal atom so there are no linkage isomers. c) Optical Isomers: Since the complex has a center of symmetry in the fac-isomer, no optical isomers can be formed d) Coordination Sphere Isomers: There are no other species present; therefore, coordination sphere isomers cannot form.
03

Complex 3:

\(\mathrm{CoClBx}+5 \mathrm{NH}_{3}\) a) Geometric Isomers: Incomplete coordination and presence of external ligands can lead to a variety of spatial orientations of ligands. However, without more details about the nature of the Bx ligand, it is unclear if geometric isomers will form. b) Linkage Isomers: Identification of linkage isomers would require more information about the nature of the Bx ligand. c) Optical Isomers: The complex lacks complete coordination, so it cannot form optical isomers at this stage. d) Coordination Sphere Isomers: The presence of external NH3 ligands allows for the formation of coordination sphere isomers. In summary: - Complex 1 can have linkage and optical isomers. - Complex 2 can have geometric isomers. - Complex 3 can have coordination sphere isomers, and it’s unclear whether it can form geometric or linkage isomers without more information about the Bx ligand.

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Key Concepts

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

Geometric Isomers
Geometric isomerism occurs when compounds have the same formula but differ in the spatial arrangement of atoms or groups around a central atom, typically within coordination complexes. In particular, two common types are the 'cis' isomers, where identical ligands are adjacent, and 'trans' isomers, where identical ligands are opposite each other. For instance, in an octahedral complex with two types of ligands, three of one kind can be arranged in a face-centered ('fac') or meridional ('mer') manner, leading to two distinct isomers. These variations in structure can influence a compound's chemical and physical properties including its reactivity and solubility.

An example is Complex 2 \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{3} \mathrm{Cl}_{3}\right]^{2+}\), which with its 1:1 ratio of ammonia to chloride ligands, allows for two geometric isomers: one where the chloride ligands form a facial triangle ('fac') and another where they span a meridian plane ('mer').
Linkage Isomers
Linkage isomerism is a form of isomerism in coordination complexes that can occur when a ligand is capable of coordinating to the metal in more than one way. Such ligands, which possess multiple donor atoms, are called ambidentate ligands. A classic example is the thiocyanate ion (SCN-), which can bind through the sulfur atom forming a thiocyanato complex, or through the nitrogen atom forming an isothiocyanato complex.

In the given Complex 1 \(\left[\mathrm{Co}\left(\mathrm{NH}_{2}\right)_{5} \mathrm{SCN}\right]^{2+}\), the SCN ligand may bind to the cobalt atom via the sulfur or the nitrogen, thus creating two linkage isomers. This type of isomerism is important because it can significantly affect the biological activity and material properties of the resultant complexes.
Optical Isomers
Optical isomerism arises when a molecule exists in two forms that are non-superimposable mirror images of each other, much like one's left and right hands. These isomers are called enantiomers and have the ability to rotate plane-polarized light in different directions, hence the term 'optical'. They possess chirality, meaning there is an element of asymmetry in the molecule which prevents it being superimposed on its mirror image.

For a coordination complex to exhibit optical isomerism, it typically must lack a center of symmetry. In the case of Complex 1 \(\left[\mathrm{Co}\left(\mathrm{NH}_{2}\right)_{5} \mathrm{SCN}\right]^{2+}\), it has the potential to produce enantiomers due to its asymmetric arrangement caused by the presence of five NH2 ligands and one different SCN ligand, providing the necessary chirality for optical activity.
Coordination Sphere Isomers
Coordination sphere isomers occur when the composition of the complex ion remains constant, but the arrangements of ligands within the coordination sphere or between the coordination sphere and the counterions surrounding it differ. This is more commonly observed in complexes where both coordination and ionic bonds are present.

Complex 3 showcases potential for coordination sphere isomerism due to the presence of external NH3 ligands, which might exchange with the Cl ligand within the primary coordination sphere, leading to variable coordination environments for the cobalt atom.
Ligand
A ligand is a molecule or ion that binds to a central metal atom to form a coordination complex. The bonding can be through lone pairs of electrons from the ligand to an empty metal orbital. Ligands are critical in determining the structure and properties of coordination compounds. They range from simple ions like chloride (Cl-) to large organic molecules. Coordination occurs via donor atoms within the ligands; common donor atoms include oxygen, nitrogen, and sulfur. Depending on their mode of binding, ligands can also facilitate the formations of different isomers, as seen in linkage and geometric isomerism.

Ligands play a crucial role in the stability and reactivity of coordination complexes and are often tuned to achieve specific catalytic or material properties. They also significantly influence the color and biological activity of the complexes they form.
Coordination Chemistry
Coordination chemistry involves the study of compounds formed between metal atoms and ligands, where these metals typically exhibit a coordination number, defining the number of ligand donor atoms bonded to the central atom. Coordination complexes can possess a wide range of geometries—square planar, tetrahedral, and octahedral being common examples. Varying the ligands or their arrangements can drastically alter the properties of these complexes.

The study of coordination chemistry is vast, encompassing aspects of inorganic chemistry, bioinorganic chemistry, and materials science. It has practical applications in catalysis, materials development, and medicine, such as in chemotherapy drugs and contrast agents for imaging.
Complex Ions
Complex ions consist of a central metal atom or ion bonded to one or more ligands. These charged species are central to coordination chemistry and are characterized by their coordination number, oxidation state, and overall charge. The characteristics of complex ions depend heavily on the types of ligands attached and their arrangement around the central atom.

The formation of complex ions in solution can influence solubility, color, and reactivity. For example, the addition of ammonia to a solution of copper(II) ions results in the formation of a deep blue complex ion, indicating a change in the electronic arrangement due to ligand bonding. Understanding complex ions is fundamental to many processes, such as metal ion transport in biological systems and industrial applications like mining and refining metals.

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Most popular questions from this chapter

Which transition metal atom is present in each of the following biologically important molecules: (a) hemoglobin, (b) chlorophylls, (c) siderophores.

For each of the following polydentate ligands, determine (i) the maximum number of coordination sites that the ligand can occupy on a single metal ion and (ii) the number and type of donor atoms in the ligand: (a) acetylacetonate ion (acac), (b) phenanthroline (phen), (c) diethylenetriamine, (d) carbonate ion, (e) triphosphate ion.

Carbon monoxide, \(\mathrm{CO}\), is an important ligand in coordination chemistry. When \(\mathrm{CO}\) is reacted with nickel metal the product is \(\left[\mathrm{Ni}(\mathrm{CO})_{4}\right]\), which is a toxic, pale yellow liquid. (a) What is the oxidation number for nickel in this compound? (b) Given that \(\left[\mathrm{Ni}(\mathrm{CO})_{4}\right]\) is diamagnetic molecule with a tetrahedral geometry, what is the electron configuration of nickel in this compound? (c) Write the name for \(\left[\mathrm{Nu}(\mathrm{CO})_{4}\right]\) using the nomenclature rules for coordination compounds.

The total concentration of \(\mathrm{Ca}^{2+}\) and \(\mathrm{Mg}^{2+}\) in a sample of hard water was determined by titrating a \(0.100\) - L sample of the water with a solution of EDTA \({ }^{4-}\). The EDTA \({ }^{4-}\) chelates the two cations: $$ \begin{aligned} \mathrm{Mg}^{2+}+[\mathrm{EDTA}]^{4-} & \longrightarrow[\mathrm{Mg}(\mathrm{EDTA})]^{2-} \\ \mathrm{Ca}^{2+}+\left[\mathrm{EDTA}^{4-}\right.& \longrightarrow[\mathrm{Ca}(\mathrm{EDTA})]^{2-} \end{aligned} $$ It requires \(31.5 \mathrm{~mL}\) of \(0.0104 \mathrm{M}[\mathrm{EDTA}]^{4-}\) solution to reach the end point in the titration. A second \(0.100-L\) sample was then treated with sulfate ion to precipitate \(\mathrm{Ca}^{2+}\) as calcium sulfate. The \(\mathrm{Mg}^{2+}\) was then titrated with \(18.7 \mathrm{~mL}\) of \(0.0104 \mathrm{M}\) [EDTA] ]- Calculate the concentrations of \(\mathrm{Mg}^{2+}\) and \(\mathrm{Ca}^{2+}\) in the hard water in mg/I.

For each of the following metals, write the electronic configuration of the atom and its \(2+\) ion: (a) \(\mathrm{Mn}\), (b) \(\mathrm{Ru}\), (c) \(\mathrm{Rh}\). Draw the crystal-field energy-level diagram for the \(d\) orbitals of an octahedral complex, and show the placement of the \(d\) electrons for each \(2+\) ion, assuming a strong-field complex. How many unpaired electrons are there in each case?

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