5.8 Racemic Mixtures and the Resolution of Enantiomers

2 min readmay 7, 2024

Racemic mixtures and are key concepts in stereochemistry. They both appear optically inactive, but for different reasons. Racemic mixtures contain equal amounts of enantiomers, while meso compounds have internal symmetry.

Understanding these compounds is crucial for grasping chirality and . It's important to know how to separate racemic mixtures into individual enantiomers, as this process is vital in many chemical and pharmaceutical applications.

Racemic Mixtures and Meso Compounds

Racemic mixtures vs meso compounds

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  • Racemic mixtures contain equal amounts of two enantiomers (mirror-image molecules) resulting in optical inactivity due to cancellation of opposite rotations, have a [α][\alpha] of zero, can be separated into individual enantiomers through techniques (, )
  • Meso compounds possess a plane of symmetry making them despite having stereogenic centers, optically inactive due to internal mirror symmetry, cannot be separated into enantiomers
  • Racemic mixtures and meso compounds have identical chemical properties in achiral environments (solvents, reagents) but may exhibit different reactivities in environments (enzymes, chiral catalysts)

Optical Activity and Chirality

  • Optical activity refers to the ability of a substance to rotate
  • Chiral molecules lack a plane of symmetry and exist as non-superimposable mirror images (enantiomers)
  • Enantiomers rotate plane- in equal but opposite directions
  • Racemic mixtures (racemates) contain equal amounts of enantiomers, resulting in no net rotation of polarized light
  • (ee) measures the optical purity of a mixture, indicating the predominance of one over the other

Resolution of racemic mixtures

  • React racemic acid with a single enantiomer of a chiral amine forming a mixture of diastereomeric salts, each containing one acid enantiomer paired with the chiral amine
  • Diastereomeric salts have different physical properties (solubility, melting point, crystallization rates) allowing separation by or chromatography
  • Treat separated diastereomeric salts with strong acid to displace the chiral amine and yield individual enantiomers of the original acid

Reactions of racemic acids

  • Racemic acid + achiral amine forms a single achiral salt as both acid enantiomers react equally, resulting in a that cannot be used for resolution
  • Racemic acid + chiral amine forms diastereomeric salts with distinct stereochemistries ((R)(R)-acid-(R)(R)-amine and (S)(S)-acid-(R)(R)-amine), separable due to different physical properties, enabling resolution of the racemic acid into constituent enantiomers

Key Terms to Review (24)

(R)-acid: The $(R)$-acid, also known as the rectus or right-handed acid, is a type of chiral carboxylic acid that has a specific spatial arrangement of atoms around the carbon atom bearing the carboxyl group. This spatial arrangement is designated as the $(R)$-configuration, which is one of the two possible stereoisomers for a chiral compound.
(S)-acid: The $(S)$-acid is a type of chiral carboxylic acid where the carbon atom bearing the carboxyl group ($-COOH$) has an $(S)$ configuration. This term is particularly relevant in the context of racemic mixtures and the resolution of enantiomers, as the $(S)$-acid is one of the two possible stereoisomers of a chiral carboxylic acid compound.
Achiral: Achiral refers to a molecule or object that is not chiral, meaning it is superimposable on its mirror image. Achiral molecules lack the necessary structural features, such as the presence of a stereogenic center, that would give rise to non-superimposable enantiomers.
Chiral: Chirality refers to the geometric property of a molecule or object that makes it non-superimposable on its mirror image. Chiral molecules are an important concept in organic chemistry, as they are central to understanding topics such as racemic mixtures, reaction stereochemistry, and the SN2 reaction.
Chiral environment: A chiral environment is a spatial arrangement in which the distribution of parts lacks an internal plane of symmetry, often leading to different interactions with other chiral molecules. This concept is crucial in organic chemistry, especially when considering how molecules recognize and react with each other based on their three-dimensional shape.
Chromatography: Chromatography is an analytical technique used to separate and identify the components of a mixture. It involves the distribution of these components between a stationary phase and a mobile phase, allowing for the selective separation and identification of the individual substances present in the original mixture.
Crystallization: Crystallization is the process by which a solid crystalline phase forms from a solution, melt, or vapor. It is a fundamental process in chemistry and is particularly relevant in the context of understanding the discovery of enantiomers and the resolution of racemic mixtures.
D,l form: The d,l form refers to a notation system used in organic chemistry to describe the racemic mixture of two enantiomers, where "d" (from the Latin "dexter") indicates the right-handed (clockwise) rotation of plane-polarized light by an isomer, and "l" (from the Latin "laevus") indicates left-handed (counterclockwise) rotation. These labels are based on the optical activity of the molecules rather than their spatial configuration.
Diastereomeric Salt: A diastereomeric salt is a salt formed between an enantiomerically pure acid or base and a racemic mixture of an amine or acid. These salts have different physical and chemical properties due to the distinct spatial arrangements of the atoms within the diastereomeric molecules, making them useful for the resolution of enantiomers.
Enantiomer: Enantiomers are a pair of stereoisomers that are non-superimposable mirror images of each other. They have the same molecular formula and connectivity, but differ in their spatial arrangement of atoms, resulting in the ability to rotate plane-polarized light in opposite directions.
Enantiomeric Excess: Enantiomeric excess is a measure of the difference in the amounts of two enantiomers (mirror-image molecules) present in a mixture. It is a key concept in understanding the resolution of racemic mixtures and the stereochemistry of addition reactions to achiral alkenes.
Fractional Crystallization: Fractional crystallization is a separation technique used to purify and isolate individual components from a mixture. It involves the selective precipitation and crystallization of compounds based on their different solubilities in a solvent.
Meso Compound: A meso compound is a special type of organic compound that contains two or more stereogenic centers, but is achiral and has a plane of symmetry. This means that despite having multiple chiral centers, the molecule as a whole is superimposable on its mirror image, and therefore does not exhibit optical activity.
Meso compounds: Meso compounds are molecules with multiple stereocenters that are superimposable on their mirror images due to an internal plane of symmetry, making them achiral. Despite their complex structures, these compounds do not exhibit optical activity because they have an identical mirror image.
Optical Activity: Optical activity is the ability of certain molecules to rotate the plane of polarized light as it passes through a solution containing those molecules. This phenomenon is directly related to the concept of chirality, where molecules can exist in two non-superimposable mirror-image forms, known as enantiomers.
Plane-polarized light: Plane-polarized light is light that vibrates in a single plane due to the process of polarization. This type of light is used in stereochemistry to differentiate between optical isomers by observing their interaction with polarized light.
Polarized Light: Polarized light is a specific type of electromagnetic radiation where the waves oscillate in a single, well-defined direction rather than in multiple random directions. This unique property of light is crucial in understanding the behavior and properties of chiral molecules, as well as the discovery and resolution of enantiomers.
Racemate: A racemate is a mixture of equal amounts of two enantiomeric (mirror-image) forms of a chiral compound. It is a special type of mixture that contains both the left-handed (levorotatory) and right-handed (dextrorotatory) versions of a molecule in equal proportions, resulting in a compound that has no net optical activity.
Racemic Mixture: A racemic mixture is a type of mixture that contains equal amounts of two enantiomers, which are molecules that are non-superimposable mirror images of each other. Racemic mixtures are important in the context of organic chemistry, as they relate to the concepts of chirality, optical activity, and the resolution of enantiomers.
Resolution: Resolution refers to the process of separating a racemic mixture into its individual enantiomeric components. It is a crucial technique in organic chemistry for isolating and purifying chiral compounds, which are essential in various fields such as pharmaceuticals, agrochemicals, and materials science.
Specific Rotation: Specific rotation is a quantitative measure of the ability of a chiral molecule to rotate the plane of polarized light. It is a fundamental property that reflects the structural and electronic characteristics of a compound and is used to identify and characterize optically active substances.
Specific rotation, [α]D: Specific rotation, [α]D, is a standardized measure of a compound's ability to rotate plane-polarized light, reported in degrees. It is calculated at a specified temperature and wavelength, usually 589 nm (the D line of sodium).
Stereogenic center: A stereogenic center in a molecule is an atom, typically carbon, that is attached to four different groups or atoms, allowing the molecule to exist in two or more spatial arrangements (stereoisomers). These centers are crucial for the molecule's three-dimensional shape and properties.
Stereogenic Center: A stereogenic center, also known as a chiral center, is an atom within a molecule that has four different substituents attached to it, resulting in the formation of two non-superimposable mirror images, or enantiomers. This concept is central to understanding the stereochemistry of organic molecules and their behavior in various chemical reactions.
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