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IB DP Chemistry HL Study Notes

3.2.5 Stereoisomers, Chirality, and Optical Activity

Stereoisomers are molecules that share the same molecular formula and structural formula but differ in the spatial arrangement of their atoms. This subtopic delves into the realm of stereoisomerism, examining the nuances of cis-trans isomers, chiral carbons, and the optical activity of molecules.

Cis-trans Isomerism and its Features

Stereoisomers that differ due to the restricted rotation around a double bond or a ring structure are termed as cis-trans or geometric isomers.

  • Cis isomer: Both identical or similar groups are on the same side of the double bond or the ring.
  • Trans isomer: These groups are on opposite sides.

Features to note:

  • Arises due to restricted rotation, typically around a double bond.
  • Requires two different groups or atoms to be attached to each carbon of the double bond for the isomerism to exist.
  • Can significantly affect the physical and chemical properties of the compound.
A diagram showing cis-trans isomers in alkenes.

Image courtesy of DrTOsborne

Chiral Carbon Atoms and Their Role in Stereoisomerism

Chiral carbon atoms are central to the understanding of optical isomerism. A chiral carbon is one that has four different groups or atoms attached to it, giving it a non-superimposable mirror image.

  • These non-superimposable mirror images are termed enantiomers.
  • Molecules without a chiral carbon atom are termed achiral.
  • The presence of a chiral carbon often leads to two enantiomers for a molecule.
A diagram showing chiral carbon with four different groups.

Image courtesy of Isilanes

Recognition of Enantiomers through 3D Modelling

Recognising enantiomers requires a visualisation of the three-dimensional arrangement of atoms around a chiral carbon.

  • Molecular models: Physical ball-and-stick models can be used to represent enantiomers, aiding in visualisation.
Diagram showing the physical ball-and-stick model to represent enantiomers.

Image courtesy of Chemistry Steps

  • Fischer projections: A two-dimensional representation where horizontal lines indicate bonds coming out of the plane (towards the viewer) and vertical lines indicate bonds going behind the plane (away from the viewer).
Diagram showing the chemical structure of D-glucose and L-glucose.

Image courtesy of Steff-X

Understanding chiral molecules and their properties necessitates familiarity with several key terms:

  • Optical activity: The ability of a chiral molecule to rotate the plane of polarised light. A substance that rotates the plane to the right (clockwise) is termed dextrorotatory and denoted by a positive sign (+), while one that rotates it to the left (anti-clockwise) is levorotatory, denoted by a negative sign (-).
  • Racemic mixture: A mixture containing equal amounts of both enantiomers. Such a mixture is optically inactive as the effects of each enantiomer cancel out.
  • Absolute configuration: Describes the spatial arrangement of the groups around a chiral carbon. The two enantiomers can be labelled based on a set of priority rules, resulting in either an R (rectus) or S (sinister) configuration.

Stereochemistry and the study of spatial arrangement in molecules provide essential insights into the diverse world of organic chemistry. Whether it's the subtle differences in molecule orientation in cis-trans isomerism or the mirror-image nature of chiral carbons, these variations have profound implications on molecular properties and behaviours. Understanding these differences is crucial for anyone venturing deep into the intricacies of organic chemistry.

FAQ

Yes, compounds without a chiral carbon can indeed exhibit optical activity. While chiral carbons (carbon atoms bonded to four different groups) are the most common cause of chirality in molecules, chirality can arise from other sources as well. For instance, certain molecules with axial or planar chirality, and some helical molecules, can also be chiral even without a chiral carbon. These molecules can still rotate the plane of polarised light and show optical activity, thereby displaying chirality.

"Optical isomerism" is a subset of stereoisomerism. The term originates from the ability of these isomers to rotate the plane of plane-polarised light, hence "optical". While all optical isomers are stereoisomers, not all stereoisomers are optical isomers. Some stereoisomers might not rotate plane-polarised light and, therefore, wouldn't be classified as optical isomers. However, the term is sometimes used more generally, especially in older texts, to refer to stereoisomerism due to its historical significance in the field.

Racemisation is the process by which an optically active substance is converted into a racemic mixture, which is a 1:1 mixture of enantiomers. As individual enantiomers rotate plane-polarised light in opposite directions, their effects cancel out in a racemic mixture, rendering the mixture optically inactive. Factors such as heat, light, or the presence of certain catalysts can cause racemisation. In the context of pharmaceuticals, racemisation can alter the efficacy of a drug, as the therapeutically active enantiomer could transform into its inactive or harmful counterpart.

Enantiomers, though chemically similar, can exhibit entirely different biological activities. This distinction is crucial in the pharmaceutical industry because one enantiomer of a drug might have therapeutic effects while its mirror image could be inert or even harmful. This is because biological systems, including the human body, are chiral in nature and often interact differently with each enantiomer. Recognising and producing the correct enantiomer ensures that drugs are both effective and safe. A classic example is thalidomide: one enantiomer alleviates morning sickness in pregnant women, while the other causes severe birth defects.

Cis-trans isomers and enantiomers are indeed both stereoisomers, but they differ in the nature of their spatial arrangement. Cis-trans isomerism (also known as geometric isomerism) occurs in molecules with restricted rotation, usually around a double bond or a cyclic structure. The terms 'cis' and 'trans' describe the relative positions of substituents; in the 'cis' isomer, similar or identical groups are on the same side, while in the 'trans' isomer, they're on opposite sides. Enantiomers, on the other hand, are mirror images of chiral molecules that cannot be superimposed onto one another. This non-superimposability is often due to the presence of a chiral carbon atom.

Practice Questions

Describe the difference between a molecule that is chiral and one that is achiral. What makes a carbon atom chiral, and how does this relate to enantiomers?

A chiral molecule is one that cannot be superimposed onto its mirror image, much like left and right hands. In contrast, an achiral molecule can be superimposed onto its mirror image. A carbon atom becomes chiral when it's bonded to four different atoms or groups, resulting in non-superimposable mirror images. These mirror images of the chiral molecule are termed enantiomers. Enantiomers are stereoisomers that are mirror images of each other but cannot be superimposed, which is a direct result of the presence of a chiral carbon.

Explain the terms "dextrorotatory" and "levorotatory" in relation to optical activity. How does a racemic mixture influence the optical activity of a sample?

Dextrorotatory and levorotatory refer to the direction in which a chiral substance rotates the plane of polarised light. A substance that rotates the plane of light to the right, or clockwise, is termed dextrorotatory and is denoted by a positive sign (+). In contrast, a substance that rotates the plane of light to the left, or anti-clockwise, is termed levorotatory and is denoted by a negative sign (-). A racemic mixture contains equal amounts of both enantiomers. Since each enantiomer would rotate light in opposite directions, their effects in a racemic mixture cancel each other out, resulting in no net rotation; hence, the mixture is optically inactive.

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