STEREOCHEMISTRY AN EXERCISE WITH MOLECULAR MODELS Objective: To learn about the three-dimensional aspects of chemical structures and isomerism by using molecular models. Stereochemistry is a very important and reasonably subtle structural aspect of organic chemistry. Stereoisomers are isomers that have the same general connectivity but different configurations. Consider the two stereoisomeric forms of lactic acid shown here. We see that they have the same general connectivity; that is, there are three connected carbon atoms: one carbon is part of a carboxyl group; the next bears an H and an OH; and the third, three hydrogens. HO CH3 H H C C COOH (+)-Lactic acid HOOC mirror plane OH CH3 (-)-Lactic acid Careful scrutiny, however, shows that the structures of these two compounds are not the same. If (-)-Lactic acid were rotated 180o, it would not be superimposable on (+)Lactic acid, which would be the case if they were identical. This is a characteristic of a molecule that does NOT have a plane of symmetry. A plane of symmetry is an imaginary plane that divides an object or molecule into two equal halves that are mirror image reflections of each other. If an imaginary plane were placed so as to include H-CCOOH in (+)-Lactic acid, for example, then the CH3- on one side would not be the same as the -OH on the other. Lactic acid is said to be chiral since the two forms are related to each other like the left and right hands, Your left hand does not have a plane that divides it into two identical mirror image halves. Your left hand is therefore chiral. Because your left hand is chiral, it will not fit into a right-handed glove. An object or molecule that has a plane of symmetry is superimposable on its mirror image and is achiral. A ball, for example, has a plane of symmetry that cuts the ball in half: one side of the plane, the half-sphere is the exact mirror reflection of the half sphere on the other side of the plane. The ball is therefore achiral. The easiest way to detect a chiral molecule is to look for a plane of symmetry. If the molecule does not have a plane of symmetry, then it is chiral, and its mirror image will not be superimposable. Since the chiral molecule and its mirror image are not superimposable, they are not the same compound. The nonsuperimposable mirror images are known as enantiomers. A necessary condition for not having a plane of symmetry around a tetrahedral carbon is to have four different substituents (ligands). The carbon atom is a chiral carbon, a stereocenter, stereogenic center, or a chiral center (these words are used interchangeably). Molecules with ONE stereocenter do not have a plane of symmetry and are chiral. With MORE THAN ONE stereocenter, they can be chiral or achiral, because molecules with more than one stereocenter can have a plane of symmetry. So the most important way to detect a chiral molecule is to look for a plane of symmetry. In Fig. 1 we see another pair of enantiomers, and we find that structure II does not produce structure I. These enantiomers are possible because again there is no plane of symmetry when there is attempts to rotate because again there 1 is no plane of symmetry when there is one stereocenter (four different groups are attached to the central sp3 carbon), a fact that is true for both lactic acid (H, OH, CH3, and COOH) and for the trihalo compound (H, F, Cl, Br) Enantiomer pair H H C Cl Br F I Br C Cl F II mirror plane Br F H H C C Cl II Rotate about C-H bond Cl F Br Remains as a nonsuperimposable mirror image to I. Enatiomeric to I. Figure 1. Stereoisomers: Enantiomers When we look at a compound in which two of the substituents on the central carbon are identical (bromine, Figure 2a), we no longer have a chiral center. The fundamental property of these achiral molecules is a plane of symmetry. The consequence of this is made clear in Figure 2a when we rotate the second of the representations of the mirrorrelated pair. We find that this second structure is identical to the first, because it is superimposable on the first. Thus, this dibromo compound is achiral. Identical pair (a) C Br C Cl Br I' H H H Cl Mirror plane H C Br Cl Br II' Br Br C Cl H Br Br II' Rotate about C-H bond Br C Cl Br Identical to I' H Br C Br Cl Plane of symmetry Figure 2a Achiral structures: Internal mirror planes in dibromochloromethane 2 H (b) H3C C C H H CH3 CH3 C=C H CH3 Figure 2b. Achiral structures: Internal mirror planes in cis-2-butene. The question now arises, How do we know when a compound is chiral; that is, what analysis can be done to detect chirality? And how can we separate the pair and tell which is which? A pair of enantiomeric compounds such as the lactic acid pair described above has a long list of identical properties: the two Enantiomers have exactly the same melting points, NMR and IR spectra, Rf values on TLC, and retention times on GC. Thus, as you might expect, only subtle physical differences exists between a pair of enantiomers, making them difficult to separate. The physical property that differentiates enantiomers is their ability to rotate plane-polarized light. One member of an enantiomeric pair always rotates plane-polarized light to the right (this compound is said to be a positive rotation, or to be dextrorotatory); the other member of the pair always rotates plane-polarized light to the left (this compound has a negative rotation; thus, it is levorotatory). Moreover, the rotations of an enantiomeric pair, although opposite in sign, are always equal in absolute magnitude. Thus, the lactic acids have two specific rotations of +3.82o and -3.82o. The basic concepts of stereochemistry can be extrapolated to larger molecules, and you will do this in a hands-on fashion by using molecular models. It is possible to have a number of stereocenters in a compound; but, for optical activity, there must be no plane of symmetry. A large number of stereoisomers are possible for molecules with a high number of chiral centers, but the basic principles described here and developed in the following molecular modeling exercise always hold true. The importance of stereochemistry can be made clear by considering a number of biologically related examples. First, the two lactic acid structures shown earlier have different origins. The dextrorotatory (+) form exists in blood and in muscle fluid. The levorotatory (-) form is half of the racemic mixture found in sour milk and in some fruits and plants. A racemic mixture is a 1:1 mixture of the dextro- and levorotatory forms and is indicated by the symbol (±). Nature provides both forms of carvone shown here. (+)Carvone is isolated from caraway seeds and has a distinctive caraoil way smell. (-)Carvone is isolated from spearmint leaves, and is used as flavoring in spearmint candies, toothpaste, etc. The two enantiomers smell completely different because the receptor sites for the sense of smell in our noses are chiral. Just like the left hand that doesnʼt fit into a right-handed glove, (+)-Carvone doesnʼt fit into the receptor site that identifies spearmint smell. Finally, the structure of L-dopa is of interest. This compound is a significant antiParkinsonian drug; but its enantiomer, D-dopa, has no therapeutic effect. The receptor site that L-Dopa in the brain is also chiral. 3 CH3 O H O CH3 HO H (+)-Carvone (-)-Carvone HO COOH HOOC H NH2 H2N L-Dopa OH H OH D-Dopa Making Models with a Molecular Model Kit Molecular models are helpful, sometimes even essential, for visualizing the threedimensionality of molecules. In this "experiment" models will be used to illustrate the various conformations of molecules. This exercise is designed to be done with your molecular model kit during a regularly scheduled laboratory period. Your report should include solid/dashed-wedge structures, and answers from each question. The models used in this experiment show the correct angles between chemicals bonds, but they do not accurately show the relative sizes of atoms or the correct bond lengths. Nevertheless, they help us to appreciate the different possible arrangements of the atoms in a molecule, the different shapes that a molecule can assume, and the ways in which these shapes can be represented by two-dimensional formulas. Identify what the different colored balls represent (i.e. black is a carbon atom) and what the different bond lengths signify. DEFINITIONS It will be helpful to define a few terms related to symmetry, because we will be examining the symmetry properties of the molecular models we construct. Absolute configuration - The actual three-dimensional arrangement of a molecule or of a chiral center. This arrangement is often determined by X ray analysis and is properly labeled with R/S notation. Asymmetric - Without symmetry or devoid of any symmetry. Chirality - The property of handedness. Your hands are chiral. Conformer (or Conformational Isomers) - Conformers are various forms of a single molecule that can be interconverted without breaking bonds. This can be done without breaking bonds. They can be interconverted by rotation about single bonds, as well as by bending or folding molecules. Diastereomers (or Diastereoisomers) - Two molecules that are stereoisomers but not enantiomers. the 2S,3R and 2R,3R molecules in 2-bromo-3chlorobutane are diastereomers. 4 Enantiomers - Molecules that are mirror images but not superimposable. Isomers - molecules that have the same molecular formula but different structures. Meso Form - A molecule that contains one or more molecular planes of symmetry, in spite of having two or more chiral centers. Optical Activity - The ability of molecules to rotate plant-polarized light. Only molecules that are chiral can display optical activity. Plane of Symmetry - A plane that can be imagined to pass through a molecule so that the part of the molecule on one side of the plane is the mirror image of the part on the other side. In other words, a plane of symmetry is a mirror plane. For example if a molecule had the exact shape of a sphere, then any plane that passed through the center of the sphere would be a plane of symmetry. R/S Notation (Cahn-Ingold-Prelog notation)- The assignment of absolute configuration to chiral atom centers, using priority rules. Stereoisomers - These are isomers that have the same sequence of bonds and atoms but differ only in the spatial arrangement of the atoms. Within this general category are enantiomers and diastereomers. cis/trans-Isomers (or Geometrical isomers) are classified as diastereomers. 5
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