Question

Three different compounds with the formula \(\mathrm{C}_{2} \mathrm{H}_{2} \mathrm{Cl}_{2}\) are known. (a) Two of these compounds are geometric isomers. Draw their structures. (b) The third compound is a structural isomer of the other two. Draw its structure.

Short answer

cis- and trans-1,2-dichloroethene are geometric isomers; 1,1-dichloroethene is the structural isomer.

Step-by-step solution

Understand Geometric Isomers

Geometric isomers have the same molecular formula and connectivity of atoms but differ in spatial orientation due to rigid structures, typically around a double bond. In this case, the compounds are derivatives of ethene ( -**cis-DCE**: 1,2-dichloroethene with chlorine atoms on the same side. -**trans-DCE**: 1,2-dichloroethene with chlorine atoms on opposite sides.

Draw Geometric Isomers

The two geometric isomers of 1. **cis-1,2-dichloroethene**: ![cis-1,2-dichloroethene](https://organicchemistrydata.org/2015/08/29/cis-1-2-dichloroethene/ - **cis** means that the chlorine atoms are on the same side of the double bond. 2. **trans-1,2-dichloroethene**: ![trans-1,2-dichloroethene](https://organicchemistrydata.org/2015/08/29/trans-1-2-dichloroethene/ - **trans** implies that chlorine atoms are on opposite sides of the double bond.

Understand Structural Isomers

Structural isomers (or constitutional isomers) share the same molecular formula but differ in the connectivity of atoms. For the given formula One possible structural isomer is 1,1-dichloroethene, where both chlorine atoms are attached to the same carbon atom.

Draw Structural Isomer

The structural isomer of - **1,1-dichloroethene**: ![1,1-dichloroethene](https://organicchemistrydata.org/2015/08/29/1-1-dichloroethene/ - Both chlorine atoms are connected to a single carbon atom, differing from the geometric isomers.

Key concepts

Geometric Isomers

Geometric isomers, also known as stereoisomers, share the same molecular formula and atom connectivity, yet they differ in the spatial arrangement of atoms. This generally occurs in compounds with double bonds or rings, where the rigidity prevents rotation and results in different spatial orientations.
A classic example is seen in the compound 1,2-dichloroethene (\( \mathrm{C}_{2}\mathrm{H}_2\mathrm{Cl}_2 \)), which includes double bonds preventing rotation. This rigidity causes two different geometric isomers known as **cis** and **trans**.

• In **cis-1,2-dichloroethene**, the chlorine atoms are on the same side of the double bond, creating a unique spatial configuration.
• In **trans-1,2-dichloroethene**, the chlorine atoms are placed on opposite sides of the double bond, resulting in a distinct spatial orientation from the cis isomer.

Geometric isomers often exhibit different physical and chemical properties, even though they are formed from the same atoms and bonds. This distinction underscores the importance of spatial orientation in chemistry.

Structural Isomers

Structural isomers, or constitutional isomers, spell diversity in organic chemistry. While they share the same molecular formula, their distinct feature is the different connectivity of atoms, leading to variations in the structure of the compound. This divergence fundamentally affects their properties and reactions.
For the molecule \( \mathrm{C}_{2}\mathrm{H}_2\mathrm{Cl}_2 \), the structural isomer is known as **1,1-dichloroethene**. In this configuration, both chlorine atoms are attached to the same carbon atom, which contrasts well with the arrangement found in geometric isomers.
Unlike geometric isomers, structural isomers can have vastly different chemical behaviors and physical properties because altering the atom connectivity changes the molecule's nature. This shows how the position of atoms plays a crucial role in defining the identity and characteristics of a compound.

cis-trans Isomers

**Cis-trans isomers** are a specific type of geometric isomers. They emerge when there is restricted rotation in the molecule, typically due to the presence of double bonds or rings, which locks certain atoms in position.

• The **cis isomer** has substituents on the same side of the double bond or ring, often resulting in different spatial interactions compared to its counterpart.
• The **trans isomer**, conversely, places substituents on opposite sides, often leading to configurations that are more symmetric.

These differences are not just theoretical—they result in tangible differences such as boiling points, solubility, and other properties, which can significantly affect the application and reactivity of the isomers. Understanding cis-trans isomers is thus crucial across various fields, including pharmaceutical and industrial chemistry, where isomer properties might be harnessed for specific purposes.