UNIT- 4 STEREOCHEMISTRY 4.1. INTRODUCTION So far, we have understood the composition of the principal functional groups of organic chemistry. We have mostly viewed molecules in a two-dimensional way and have given little thought to any consequence that might arise from spatial arrangement of atoms in molecules. We are ready now to think about three-dimensional structure of organic compounds, namely Stereochemistry. Stereochemistry is a branch of chemistry which deals with the three dimensional aspects of molecules. It explains those properties of molecules that result from the spatial relationships of their constituent groups. It includes methods for determining and describing these relationships; the effect on the physical and chemical properties these relationships impact upon the molecules in question, and the manner in which these relationships influence the reactivity of the molecules in question. Central to Stereochemistry is the concept of isomerism. Isomers are sets of chemical compounds having identical atomic composition but with different structural properties. With geometric isomers, the differences arise from the atoms being bonded in different sequences or patterns across a double bond or in a ring. Optical isomers are pairs of molecules that differ in the same way that a left hand and right hand differ; i.e. they are mirror images of each other. Such molecules rotate plane polarized light that passes through them in opposite direction. Constitutional isomers, on the other hand, differ in the connectivity of atoms in the molecule where as conformational isomers differ by the structures they have through rotation across a single bond. Unit -4 Stereochemistry 4.2. Learning objectives of the unit. At the end of this unit students will be able to: develop the concept of molecules as three-dimensional objects; be familiar with stereo chemical principles terms and notations; predict the existence of different types isomers, represent and designate their structures; and determine the stereochemistry of organic molecules. 4.3. Constitutional and Geometric isomers 4.3.1. Introduction Isomers are different compounds that have the same molecular formula but have different structures. They have the same numbers and kinds of atoms but differ in the way the atoms are arranged. Isomers are sub-divided into two groups as constitutional isomers and stereoisomer. Constitutional isomers are those isomers whose atoms have a different connectivity. Stereoisomers are those isomers that have the same connectivity but that differ in the arrangement of their atoms in space. Some of the common stereoismoers are geometric isomers, diastereomers and enatntiomers. 4.3.2. Learning objectives of the topic At the end of this topic students will be able to: write constitutional isomers of common organic compounds; identify the two types of geometric isomers; and show the difference between constitutional and geometric isomers. Unit -4 Stereochemistry 4.3.3. Constitutional isomers Compounds that have the same molecular formula but different structural formulas due to different orders of attachment of a toms are called constitutional isomers . They are said to have a different connectivity. Constitutional isomers occurs widely in different organic compounds. The common types of constitutional isomers are skeletal, functional and position isomers. Skeletal isomers have different carbon skeletons . For example, a compound with molecular formula C4H8 has two Skeletal constitutional isomers as shown below. CH3CH2CH2CH3 Butane and CH3CHCH3 CH3 Isobutame In the same way, a compound with molecular formula C5H12 has the following three skeletal constitutional isomers. CH3CH2CH2CH2CH3 , CH3CHCH2CH3, CH3 Isopentane Pentane (Straight chain) and (one branched chain) CH3 CH3CCH3 CH3 Neopentane (two branched chains) Functional isomers have different functional groups which arise from different connectivities of atom in the molecule, For example, a compound with molecular formula C2H5O have the following two functional isomers (alcohol and ether). CH3CH2OH Ethyl alcohol and CH3OCH3 Dimethyl ether Unit -4 Stereochemistry In the same way, a compound with molecular formula C3H6O has the following two functional isomers ( aldehyde and ketone). O O CH3CH2CH and Propanal CH3CCH3 propanone (acetone). Position isomers have different positions of the functional group. They have the same type of functional group at different positions in the molecule. For example, a compound with molecular formula C3H7NH2 or C3H9N (an amine ) has the following two position isomers which differ only by the position of the functional group (NH2). CH3CH2CH2NH2 and CH3 CH CH3 NH2 Isopropylamine Propylamine In the same way a compound with molecular formula of C4 H10O (an alcohol ) has the following two position isomers which differ only by the position of the functional group (OH). CH3CH2CH2CH2OH Butanol and CH3 CH CH2CH3 OH 2-Butanol Unit -4 Stereochemistry Problem 4-1:-Write all possible constitutional isomers for the following compounds 1. Alkanes with formula C6H14 2. Alcohols with formula C5H12O 3. Ketones with formula C5H10O 4. Amines with formula C5H13N 5. A compound with general formula C6 H12O 4.3.4. Geometric isomers (cis - trans isomers) Geometric isomers or cis-trans isomers are isomers in which substituents are on the same side or opposite side of double bond or ring. This is the property of disubstituted alkenes and cycloalkanes. (Disubstituted means that two substituents other than hydrogen are bonded to the double bond carbons). When substituents are on the same side of the double bond or the ring, the isomers are cis- and when substituents are on opposite side, the isomers are trans far example in 2Burene, the two methyl groups can be either on the same side of the double bond or on apposite side forming the cis- and trans- isomers respectively as shown below. H3C CH3 C H H3C H C C H Cis - 2-Butene H C CH3 trans-2-Butene Unit -4 Stereochemistry In the same way 1,2-Dichloroethane has two geometric isomers, the cis-1,2dichloroethane where the two chlorine atoms are on the same side of the double bond and the trans -1,2- Dichloroethane where the two chlorine atoms are on opposite side of the double bond. Cl Cl C H Cl H C C H Cl H Cis -1, 2- Dischloroethane C trans-1, 2- Dichloro ethane In cycloalkanes, there will be cis- trans isomers when they have two-substituents on different carbons. When these substituents are on the same side of the ring, we have the trans isomer, for example, 1,2- dimethyl cyclopropane has the following isomers . CH3 H CH3 H cis- 1,2- Dimethylcyclopropane (the two methyl groups are on the same side of the ring) CH3 H CH3 H trans- 1,2 - Dumethylcyclopropane ( the two methyl groups are on opposite side of the ring) In the same way, 1,3- dimethylcyclopentane have two geometric isomers, cis - 1,3- dimethylcyclopentane in which the two methyl groups are on the same side of the cyclopentane ring and the trans 1,3 -dimethylcyclopentane in which to two methyl groups are on opposite side of the cyclopentane ring. Unit -4 Stereochemistry CH3 H CH3 H Cis-1,2- Dimethylcyclopentane CH3 H H CH3 trans-1,2 - Dimethyliyclo pentane The cis- trans nomenclature for describing the geometry of the double bonds works well for di substituted double bonds. It fails to work with tri substituted and tetra substituted double bonds. (Tri substituted means three substituents other than hydrogen are attached to the double-bond carbon atoms; tetra substituted means four substituents other than hydrogen are attached to the double bond carbon atoms). A more general method of describing double-bond stereochemistry is provided by the E, Z system of nomenclature, which uses a series of sequence rules which is based on an atomic number criterion to assign priorities to the substituent groups on the double- bond carbons. The sequence rules are used to decide which of the two groups attached to each carbon is higher in priority (higher atomic number).The sequence rule which is called the Cahn-Ingold- Prelog priouty rules are given in table 4.1. If the higher- priority groups on each carbon are on the same side of the double bond, we say that the double bond has the Z configuration. Z stands for Zusammen, which means "together". If the higherpriority groups are on the opposite sides of the double bond, we say that the configuration is E. Here the symbol E stands for the German word entgegen, which means "opposite". The assignment is shown below. Unit -4 Stereochemistry High High C High C Low C Low Low C low High E - Configuration Z - Configuration Example:-. higher Cl C Cl C C H H3C lower higher higher Br lower H3C lower F lower Br higher C Higher-ranked substituents (Cl and Br) are on opposite side of double bond. (E)-1-Bromo-2-Chloro-1-fluoropropene. Higher-ranked substituents (Cl and Br) are on the same side of double bond. (Z)-1-Bromo-2-Chloropropene Look at the following example on how E & Z- configuration are assigned to a double bond. Example- 1. Assign E or Z configuration to this compound. H3C CH2OH C C CH3 H Methyl and hydrogen occur as a substituents on the first carbon of the double bond. According to the rule, methyl has higher priority than hydrogen. The other double bond carbon bears methyl and CH2OH group. The -CH2OH group is of higher priority than methyl. Since higher priority substituents (-CH3 and - CH2OH) are on the same side of the double bond, the configuration is Z. higher H3C CH2OH C Lower H higher C CH3 Lower (Z) -1- Hydroxyl-2-methyl-2-butene Unit -4 Stereochemistry Example -2- Assign E or Z Configuration to this compound. H3C C CH2CH2CH3 C CH2CH3 FH2C On the first carbon -CH3 and -CH2F substituents occur and -CH2F witl be given higher priority than -CH3. On the 2nd carbon -CH2CH2CH3 and -CH2CH3 group occur. According to the rule, -CH2CH2CH3 group has the higher priority. Then, the two higher priority groups (-CH2F and -CH2CH2CH3) are on opposite sides of the double bond, so the configuration is E. Lower higher H3C FH2C C C CH2CH2CH3 CH2CH3 higher Lower (E) -3- Ethyl -1- fluoro -2- methyl-2- hexene. Unit -4 Stereochemistry Table 4-1:- Cahn- Ingold - Prelog Priority Rules. Rule Example 1. Higher atomic number takes higher Br higher priority C CH3 higher C H Lower Cl Lower Br(35) receives higher priority than Cl(17), C(6) of CH3 takes higher priority than H(1). It has Z-configuration (Br and CH3 on the same side) 2. When two atoms directly attached to the double bond are identical, compare the atoms attached to these two on the basis of their atomic numbers. Priority is determined at the first point of difference. Priority of some groups C Multiple-bonded atoms are equivalent to the same number of single-bonded atoms. CH2 is equivalent to CH O O CH is equivalent to CH O H C C C C C CH2CH3 higher Lower Cl - CH2CH3 have higher priority than –CH3 - It has E configuration (Br and CH2CH3 higher Cl CH2OH C Lower H Lower CH3 are on opposite sides) - C(CH3)3 > -CH(CH3)2 > -CH2CH3 3. higher Br Lower C CH=O F higher has E- configuration H higher HO CH=CH2 C Lower H2N higher C CH(CH3)2 has Z- configuration Lower Unit -4 Stereochemistry Problem 4-2 Assign cis-trans or E-Z- configuration for the following compounds. Write the name of each compound. 1. HO OH C H3C CH2CH3 C C CH2CH2OH Cl H3CH2C 5. O2N CN C CH2NH2 H3C C COOH C C CH2OH CH3 C CH2CH3 H3C H3C 4. C C CH2CH(CH3)2 CH2CH3 (H3C)2HC H 6. C H3C 7. H2C=HC H3CH2C C H3CH2C 3. 2. C C CH3 H3CH2C 8. H3C H3CH2C C C CH3 CH2CH3 Unit -4 Stereochemistry 4.4. Optical isomers. 4.4.1 Introduction. Three dimensional objects such as a sphere, a cube a cone tetrahedron cups, chairs, beds etc, are all identical with, and can be superimposed on their mirror images and are said to be symmetric. On the other hand, many other objects cannot be superimposed on their minor images and are said to be dissymmetric. For example, your left hand and your right hand are mirror images of each other but cannot be made to superimpose in three dimensions. In chemistry, compounds like three dimensional objects are symmetric or dissymmetric which are categorized as achiral and chiral molecules respectively. This difference gives rise to different isomers with different properties. These isomers are identified by the spatial arrangement of atoms of the molecule in space. 4.4.2. Learning objectives of the topic At the end of this topic students will be able to : identify chiral and achiral molecules ; define enantiomers and diastercomers; and assign configuration of chiral molecules. Unit -4 Stereochemistry 4.4.3. Chirality A) Enatiomers Molecules that are not super imposable on their mrror images are said to be chiral. That is they show handedness. Your left and right hands are Chiral. On the other hand, if the molecule is super imposable on its mirror image, it is said to be achiral. The molecule and its mirror image have the same constitution. That is, the atoms are connected to each other in the same order. But the molecules differ in the arrangement of their atoms in space, they are stereoisomers. Stereoisomers that are related as an object and its non superimposable mirror image are classified as enantiomers. That is, enantiomers are the chiral molecule and its nonsuperimposable mirror image. The word enantiomer describes a particular relationship between two objects (the chiral molecule and its mirror image), The chirality of an organic molecule can be illustrated using a relatively simple compound, 2- butanol. CH3 CH CH2 CH3 OH If we draw the three dimensional representation of2- butanol (moldel- I) and keep it infront of a mirror, model- II is seen in the mirror. Models I and II are not superimposable on each other (this can be demonstrated using a model), therefore, they represent different, but isomeric molecules. Because models I and II are non super imposable mirror images of each other, the molecules they represent are enantiomers. Unit -4 Stereochemistry HO C CH2 CH3 H ------------------------------------ CH3 H3C H OH CH3 H2C H3C mirror I II Model - III and model - IV are enantromers of lactic acid, CH3CHCOOH OH COOH HO C CH3 III H HOOC H C OH H3 C IV We can predict whether a given molecule is chiral or achiral by examining its structures . If a molecule contains a plane of symmetry it is achiral and if it doesn’t, it is chiral. A plane of symmetry is an imaginary plane passing through the molecule which divides the molecule in such away that one half of the molecule is an exact mirror image of the other half. Thus, propanoic acid has a plane of symmetry when it is lined up as shown below and is chiral. therefore, achiral. Lactic acid, however, has no plane of symmetry and is thus Unit -4 Stereochemistry No plane of symmetry Plane of symmetry ------------ ------------ CH3 CH3 H C H H C OH COOH COOH ------------ ------------ CH3CHCOOH CH3CH2COOH OH P ropanoic acid (achiral) Lactic acid (Chiral). Noting the presence of stereogenic center in a given molecule is a simple and rapid way to determine that the molecule is chiral. For example, C–2 is a stereogenic center in 2butanol and bears a hydrogen atom, methyl, ethyl, and hudroxyl groups as its four different substituents. By way of contrast, none of the carbon atoms bear four different groups is the alcohol 1 CH3 H 2 C 3 2- propanol. H 4 CH2CH3 OH 2- Butanol : Chiral four different substituents at C-2 CH3 C CH3 OH 2- Propanol: achiral two of the substituents at C-2 are the same. Here are some more examples of chloral molecules. The stereogenic carbon is indicated by an asterisk (*). Carbons that are part of a double bond or a triple bond can not be stereogenic centers. Unit -4 Stereochemistry * CH3CHCOOH , * CH3CHCH2CH3 OH Br * CH3CH2CH2CH2CHCH2CH2CH3 , * CH3CH2CHCH2OH , CH3CH2* CHCH=CH2 CH3 OH CH3 * (CH3)2C=CHCH2CH2CCH=CH2 OH NO2 A carbon atom in a ring can be stereogenic center if it bears two different substituents and the path traced around the ring from that carbon in one direction is different from the one traced in the other. The carbon atom that bears the methyl group in 1,2– epoxy propane, for example, is a stereogenic center. The sequence of the group is –CH2-O as one proceeds clockwise around the ring from that atom, but is –O- CH2 in the anticlockwise direction. On the other hand, methylcyclohexane is achiral because there is no stereogenic center in the molecule. The carbon atom that bears the methyl group is not stereogenic because as one proceeds clockwise and anticlockwise around the ring from that atom the sequence of groups are the same –CH2 – groups on both sides. H3C * HC CH2 O 1-2- Epoxypropane ( Chiral) H2 C H2C H2C CH C H2 CH3 CH2 Methylcyclohecane(achiral). Unit -4 Stereochemistry Additional examples of chiral molecules are given below. Check for yourself that the labeled centers (ones with asterisk ) are stereogenic, CH3 O O CH3 CH3 * * C * OH CH2 OH CH3 CH3 * CH2CH3 * * O CH3CH2 As we have already seen, enantiomers are different compounds, and you must expect, therefore, that they differ in some properties. One property that differs enantiomers is their effect on the plane of polarized light. A plane polarized light is light vibrating in only one plane in one direction. Each member of a pair of enantiomers rotate the plane of polarized light, and for this reason, enantiomers are said to be optically active. While each enatiomer is optically active the two rotate the plane of polarized light in opposite directions and are also known as optical isomers. This physical property of enantiomers is called optical activity. Optical activity is the ability of a chiral substance to rotate the plane of polarized light. A substance that does not rotate the plane of polarized light is said to be optically inactive, that is, have no optical acivity. All achiral molecules are optically inactive. Unit -4 Stereochemistry The ability of molecules to rotate the plane of polarized light can be observed using a polarimeter. Polarimeter is an instrucment that is used to measure the degree of rotation of plane polarized light as it passes through the sample of a molecule. Enantiomers rotate the plane polarized light either to the right or to the left. If the enantiomer rotates the plane prlarized light to the left, it is said to be levorotatory () (Latin: laevus , on the left side). If it rotates the plane prlarized light to the right, it is said to be dextrorotatory (+) (Latin : dexter , on the right side). The magnitude of the observed rotation for a particular compound depends on the concentration, the temperature and wave length of the light used. To standardize optical rotation data, the term specific rotation. [x], is defined as the observed rotation at specific concentration, temperature and wave length of the light used. Mostly specific rotation is given for 1 molar concentration at 250c(T)using sodium lamp ( = 589nm) which are designated as superscript (T) and subscript (D)= =589nm) to the square brackets, [ ], Which are used to denote 1 molar concentration. Specific rotation = [X]T = [x]25 ( ) For example the specific rotation of lactic acid CH3CHCOOH is designated as [x]25D = + 3.8 of cholestrol is, [x]25D = -31.5 OH In the same way, the specific rotation In reporting specific rotation, it is common to indicate a dextrorotatory compound with a plus sign in parentheses,(+) or with a letter 'd' in parenthesis(d) and a levorotatory compound with a minus sign in parentheses, (-) or a letter 'l' in parenthesis (l). Most commonly the (+) and Unit -4 Stereochemistry (-) indications are used. For any pair of enantiomers, one enantiomer is dextrorotatory, and the other is levorotatory. For each enantiomer of equal concentration, the value of the specific rotation is exactly the same, but the sign is opposite. Following are the specific rotations of the enantiomers of 2-butanol at 250 C using the D line of sodium. OH HO C H C CH3 CH3CH2 CH3 (+) -2-Butanol x H CH2CH3 (-) -2- Butanol 25 = + 13.52 D x 25 = -13.52 D O The specific rotations for enantiomers of glyceraldehyde HCCHCH2OH OH H H C OHC CH2OH HOH2C OH (-)- Glyceraldehyde x C 25 D = - 8.70 CHO OH (+) - Glyceraldehyde x 25 D = + 8.70 are Unit -4 Stereochemistry B. Specification of configuration of Enantiomers. Although drawing provides a pictorial representation of stereochemistry, they are difficult to translate into words.The three dimensional structure of molecules are often shown pictorially by using a solid wedge ( the plane), dashed wedge ( )and a single line ( ) to show a bond projecting out words (above ) to show a bond projecting inwards (below the plane ) represent a bond that lies in the plane of the paper .In a wedge –and- dash representation of the structure of lactic CH3 CH3 CHCOOH OH , HO C COOH - OH group is below (behind) the plane, the –COOH group is above the plane while CH3 and H groups are on the plane of paper. A verbal method for indicating the three dimensional arrangement of atoms (the configuration) at stereogenic center is necessary. A system for designating the configuration of a stereogenic center was devised by R.S. Cahn, C.K, Ingold and V.Prelog. The system is named as the Cahn-Ingold-Prelog convention of the R,S convention. The orientation of groups about a stereogenic center is specified as R or S using the following rules. 1. Identify the stereogenic center in the molecule. Look at the four atoms directly attached to the stereogenic center and assign priorities in order of decreasing atomic number. The atom with highest atomic number is ranked first (1) the atom with lowest atomic number is ranked fourth (4) (refer to Table 4-1 for priority rules). Unit -4 Stereochemistry 1. Orient the molecule in space such that the group of lowest priority(4) points away from you in which the three groups of higher priority (1-3) project toward you. 2. Look at the three groups projecting towards you in order from highest priority(1) to the lowest priority(3). Then, i) If they are in a clockwise direction, the configuration at the stereogenic center is designated as R (Latin: Rectus, right). ii) If they are in a counter clockwise direction, the configuration at the stereogenic center is designated as S (Latin: Sinster, left) Examples: 1. Absolute comfiguration of 2-butanol CH2CH3 C H OH CH3 i) . Assign priority of the four groups on the stereogenic center. -OH > - CH2CH3 > - CH3 > -H 1st 2 nd 3rd (higher) 4th (lowest) ii) Orient the molecule such that the lowest priority group is away from you and the remaining three groups are toward you. (From the wedge-and-dash drawing given above, the molecule is in an appropriate orientation because the lowest priority group, hydrogen, is below the plane, that is away from you). H3CH2C H OH C CH3 Unit -4 Stereochemistry iii) Look at the three groups towards you from the highest to the lowest priority (1-3). The three groups are arranged in counter clockwise direction. Therefore, the configuration of the stereogenic center is S. ( 2nd) H3CH2C H st OH ( 1 ) C CH3 (3rd) 2. Absolute configuration of lactic acid CH3 HO C COOH Priorities –OH > -COOH > -CH3 > H 1st 2nd 3rd 4th When the lowest Priority group (H) is behind the plane the remaining groups have the following orientation. (3rd) H3C H st OH ( 1 ) C COOH ( 2nd) The groups are arranged in clockwise direction. Therefore, the configuration the molecule is R. Unit -4 Stereochemistry 3. Absolute configuration of OH C H3C CH=CH2 H Priorities:-OH > CH=CH2 >CH3 > H (remember that double bond is considered to be equivalent to two single bonded atoms). Orientation:In the compound given when the lowest priority group (H) is behind the plane the orientation of the other groups will be as shown below. OH ( 1st) H C H2C=HC ( 2nd) CH3 (3rd) Since the groups are arranged in counter clockwise direction, the configuration is S. Compounds in which a stereogenic center is part of a ring are handled is a similar way. For example, look at how the configuration of 4- methyl cyclohexene is determined. CH3 H 4- Methylcylohexene. Identify the stereoginic center and give priorities to the groups by treating the right-and left-hand paths around the ring as if they were independent substituents. Therefore, the molecule will be treated as follows. Unit -4 Stereochemistry 3rd th H4 CH3 CH3 C H is treated as 2 nd CH2 CH2 CH2 CH 1st C C C The priorities of groups around the stereogenic center are :C -CH2CH > - CH2CH2 - C > - CH3 > - H. C The orientation of the three highest priority groups are:CH3 (3rd) H C CH2CH2 C C CH2CH ( 2nd) ( 1st) C The groups are arranged in clockwise direction. Therefore, the configuration of the molecule is R. Problem 4-3:Assign priorities to these set of Substituents a) -CH2CH2OH,-Br,-H, -CH2CH3 b) -COOH,-COOCH3,-CH2OH,-OH c) –CH2NHCH3,-CH2NH2,-NH2,-CN d) –Br,-CH2Br,-Cl,-CH2Cl Unit -4 Stereochemistry Problem 4-4 Assign absolute configurations as R or S to each of the following compounds. a) C H H b) CH3 CH3 C CH3CH2 COOH CH2OH Br NH2 CH3 C) C CHO d) CN H e) CH2OH OH H H C OH f) Br CH3 O CH3 CH3 CH3 C) Diastereomers:When a molecule contains two or more sterogenic centers, it can have more than two stereoisomers. For a molecule with n stereogenic centers, the maximum number of stereoisomers possible are 2n. For molecules, with one sterogenic center, 21=2 stereoisomes, with two stereogenic center, 22=4 stereoisomers etc. For example, 2,3-dihydroxybutanoic acid (CH3CHCHCOOH) OH OH stereogenic centers have 4 stereoisomers. with two Unit -4 Stereochemistry The absolute configuration at C-2 may be R or S. Likewise, C-3 may have ether the R or the S-configuration. The four possible combinations of these two stereogenic center are:stereoisomer I:- (2R,3R), stereoisomer II:- (2S,3S) stereoisomer III:- (2R,3S), stereoisomer IV:- (2S,3R). Stereoisomers I and II are enantiomers of each other; the enantiomer of (R,R) is (S,S). Likewise stereoisomers III and IV are enantiomers of each other, the enantiomers of (R,S) being (S,R). Look at the structure formulas of these four stereoisomers given below. 1 COOH 1 COOH H H C 2 C 3 HO OH OH enantiones C2 HO C H 3 H 4 4 CH3 CH3 I (2R,3R) II( 25, 35 ) diastereomers diastereomers diastereomers 1 COOH H HO C2 C 1 COOH OH 3 Enantiomers H 4 CH3 III ( 2R, 35 ) HO H C2 H C 3 H 4 CH3 IV (25, 3R) Unit -4 Stereochemistry Stereoisomer I is not a mirror image of III or IV, and so it is not an enantiomer of either one. Stereoisomers that are not related as an object and its mirror image are called diastereomers. Diastereomers are stereoisomers that are not mirror images of each other. Thus, stereoisomer I is a diastereomer of III and a diastereomer of IV. Similarity, II is a diasteremer of III and IV. Diastereomers have opposite configurations at some (one or more) stereogenic centers, but have the same at others. Emantiomers, on the other hand, have opposite configurations at all stereogenic center. For instance; in order to convert a molecule with two stereogenic centers to its enantiomer, the configuration at both centers must be changed. Reversing the configuration at only one stereogenic center converts it to a disteromeric structure.For example, the amino acid threonine (2-amino-3-hydroxybutonoic acid), CH3CHCHCOOH with two stereogenic centers (C2&C3), the Stereoisomer with OH NH2 configuration 2R, 3R, will have enantomer with configuration 2R,3S and 2S,3R. The following table shows the complete description of the stereoisomers of threonine. Table 4.2. The relationships between the four stereoisomers of threonine. Stereoisomer Enantiomeric with Diastereomeric with 2R,3R 25,3S 2R.3S and 2S,3R 2S,3S 2R,3R 2R,3S amd 2S,3S 2S,3R 2R,3S 2R,3R and 2S,3S Unit -4 Stereochemistry Certain molecules containing two or more stereo centers have special symmetry properties that reduce the number of stereoisomers to fewer than what is predicted by the 2n rule. One such molecule is 2,3-dihydroxybutanoic acid, more commonly named tartaric acid. 1 2 3 4 HOOCCHCHCOOH OHOH 2,3-Dihydroxybutanoic acid (Tartaric acid). In tartaric acid, Carbons 2 and 3 are stereogenic centers, and using the 2 n rule, the maximum number of stereoisomers possible are four as shown below. 1COOH H HO C OH C H 2 3 Mimor 4 COOH I(2R,3R) H H 1COOH 1COOH C 2 3 C 4 COOH II(2S,3S) OH OH H C 2 3 C H Mirror OH OH 4 COOH III (2R,3S) HO 1 COOH 2 C 3 C HO H Plane of symmetry H 4 COOH IV (2S, 3R) Structures (I) and (II) are nonsuperimposable mirror images and are, therefore, a pair of enantiomers. Structures (III) and (IV) are also mirror images, but they are superimposable because the molecules have a plane symmetry which cuts through the C2 – C3 bond , making one half of the molecule a mirror image of the other half. Therefore, the two structures are not different molecules; they are the same molecule, just oriented differently which can be seen by rotating one structure 1800 which also gives the other structure. The structure represented as III or IV is achiral because it is superimposable on IV. Such a molecule with two or more stereogenic Unit -4 Stereochemistry centers which are identically substituted and is achiral is called meso compound. They are achiral molecules that have stereogenic centers. Thus, tartaric acid exists in three stereo isomeric forms; two enantiomers (I & II) and one meso form (III or IV). In the same way, 2,3 – butanediol CH3CHCHCH3 OHOH have three isomers, two enantiomers and one meso form. Write the enantiomers and the meso form for this compound. Problem 4-5. Using R and S descriptors, write all the possible combination (Pair) of enantiomers, diastereomers and meso forms. i) 2 R-2- methyl butanol ( ( CH3CH2CHCH2OH CH3 CH3CHCHCH2OH ii) 2S,3S -1,2,3 - butanetriol OHOH iii) 2S,3R-3- Chloro-2- Pentanol iv) 2R, 3R 2,3- Dibromobutane V) 3S,4S -3,4-hexanediol ( ( ( ) ) ) ) ) CH3CHCHCH2CH3 OHCl CH3CHCHCH3 Br Br CH3CH2CHCHCH2CH3 OHOH Unit -4 Stereochemistry D) Fischer Projections In writing structures for Chiral molecules, we have thus far used lines, solid wedges and broken wedges to indicate configuration about a stereogenic center. The use of these drawing conventions a accurately describes the stereochemistry and helps to treat molecules as three- dimensional objects. It is possible, however, to convey stereochemical information in standard and an abbreviated form using a method devised by the German chemist Emil Fisher. The Fisher projection is a two dimensional representation showing the configuration of a chiral molecule in which a tetrahedral carbon atom is represented as the center of two perpendicular lines crossing each other. The horizontal lines represent bonds projecting forward (above the plane) and Vertical lines represent bond projecting to the back (behind the plane) where the stereogenic carbon is on the plane. bond behind the plane Stereogenic Carbon. Corresponds to C bond above the plane To write a Fischer projection, orient the stereogenic center of the chiral molecule so that two horizontal bonds are facing you (above the plane) and two vertical bonds are moving back (behind the plane). Then write the molecule as a two dimensional figure with the stereogenic carbon indicated as the intersection of the two crossed lines. For example, we can convert the three dimensional formula of (S)-2- Butanol into fischer projection as follows. Unit -4 Stereochemistry OH C H CH3 CH2CH3 (S) -2- Butanol Turn the molecule so that the two groups on a plane (-OH and –CH3) will be behind the plane (away from you ) where both the other groups, -H (behind the plane) and –CH2 CH3 (above the plane) both face towards you (above the plane). Then write the Fisher projection for the molecule. C H OH OH OH H CH3 C H CH2CH3 When truned CH2CH3 CH2CH3 In Fischer Projection CH3 CH3 Cl In the same way, the Fisher progection for CH3 CH3 H is CH2OH Cl Cl C C H HOCH2 CH2OH C Cl H CH3 when turned H HOCH2 CH3 Fisher projection Unit -4 Stereochemistry Problem:- 4.6. Write Fischer projection for the following molecules CH3 a) H C OH b) C CH2Br H OH C) H NH2 COOH CH2CH3 OH CH2OH d) C Br CH2CH2CH3 C CHO H 4.5. Conformational isomerism 4.5.1. Introduction Structural formulas are useful to show the order of attachment of atoms in a molecule. However, they usually don’t show three- dimensional shapes. hence, it becomes increasingly important to understand more about the three- dimensional shapes of molecules. We know that an SP3- hybridized carbon atom has tetrahedral geometry and that the Carbon-Carbon bonds result from overlapping of carbon SP3 orbitals. Free rotation can occur around Carbon- Carbon single bonds due to cylindrical symmetry of sigma bond. The rotation about carbon-carbon single bond gives spatial relationships between hydrogen on one carbon and the hydrogens on The different arrangements of atoms that result from a neighboring carbon. Unit -4 Stereochemistry rotation about a single bond are called conformations, and a specific conformation is called a conformer (Conformational isomer) . In this section, conformations that are adopted by individual molecules of alkanes and cycloalkanes will be examined. Unlike constitutional isomers, different conformers can't usually be isolated, because they interconvert too rapidly. The particular conformation that a molecule adopts can exert a profound influence on its properties. There is an energy change involved during the rotation of the single bond. An analysis of the energy changes that a molecule undergoes as groups rotate about single bonds is called a conformational analysis. It shows the stability of the different conformers. Conformational analysis of some simple alkanes will be considered in our discussion below. 4.5.2. Learning objectives of the topic. At the end of this topic students will be able to : explain conformational isomerism; write different conformers of simple alkane and cycloalkane; and analyze conformations of simple alkanes . 4.5.2. Conformations of open Chain alkanes Alkanes of two or more carbons can be twisted into a number of different three dimensional arrangements of their atoms by rotating about a carbon-carbon bond or bonds which results in the formation of different conformational isomers. Unit -4 Stereochemistry Conformational isomers are represented using Newman projections. In a Newman projection, a molecule is viewed along the axis of a C-C bond. The three atoms or groups of atoms on the front carbon are shown on three lines extending from the center of the circle at an angle of 1200. The three atoms or group of atoms on the back carbon are shown on three lines extending from the circumference of the circle, also at angles of 1200. A B A C View C A B B A B back carbon B front carbon A A B Molecule Newman Proojection There are two extreme conformations, the staggered conformation and th eclipsed conformation. In the staggered conformation when viewed along C - C axis, each atom or group of atoms on the first carbon (front carbon) is seen to be positioned perfectly between two atoms or groups of atoms on the second carbon (back carbon). The staggered conformation is a conformation where the atoms or groups of atoms on one carbon are as far apart as possible from atoms or groups of atoms on an adjacent carbon. It is the lowest-energy, most stable conformation. The degree of rotation in which the angle between C - H(or other atoms) bonds on the front and back carbons goes full circle from 00 to 3600 is called a dihedral angle (). It is the angle formed by the two intersecting planes of the bonds on the front and back carbons. Staggered conformations are observed at dihedral angles () of 600, 1800 and 3000. This is shown by the Newman projections below. Unit -4 Stereochemistry A B B A A 600 B B B B A 3000 A 1800 A A A A B B B =600 = 1800 = 3000 In the eclipsed conformation when viewed along the C-C axis, all atoms or groups of atoms on the first carbon (front carbon ) are directly opposite to those on the second carbon (back carbon ) that is, those on the first eclipse those on the second. Eclipsed conformation is a conformation where atoms or groups of atoms on one carbon are as close as possible to the atoms or groups of atoms on an adjacent carbon. It is the highest-energy, least stable conformation due to non bond interaction that arises when atoms or groups of atoms not bonded to each other are forced into close proximity. Eclipsed conformations are observed at dihedral angles ( ) of 00, 1200, 2400 and 3600. This is shown by the New man projections below. B A B A B A B A 120o 360o 240o B A B A A B = 00 B = 1200 A B A B A B A = 240o BA = 3600 When each staggered conformation is rotated by 600 it gives a new but equivalent eclipsed conformation. There is a difference in energy between Unit -4 Stereochemistry these extreme conformations. Eclipsed conformation is at highest energy state due to strong non bonded interaction and the staggered conformation is at the lowest energy state due to no or very weak non bonded interaction. These energy differences between the eclipsed and staggered conformation is known as torsional or rotational energy (strain ). It is the force that opposes the rotation of one part of a molecule about a bond while the other part is held past from the staggered conformation to the eclipsed conformation. B A A B B + A Energy (Torsional energy) A rotate 600 B Staggered conformation A. B A B A Eclipsed conformation Conformations of Ethane If we build a molecular model of ethane (CH3CH3), we can see that the hydrogen atoms on the two methyl groups are readily rotated with respect to each other. These rotational movement gives the staggered and eclipsed conformations. All staggered conformations of ethane ( = 600, 1800 and 2400 ) are equivalent and at the lowest energy state. While all eclipsed conformations of ethane = 0, 120, 2400 and 3600) are also equivalent but at the highest energy state. The torsional energy between these conformations is only 3 K Cal. mol-1(figure 4-1). The torsional strain in eclipsed ethane is due to the slight repulsion of electron pairs of adjacent C-H bonds when they rotate past each other in converting from one staggered conformation to another. Unit -4 Stereochemistry H Figure 4-1. Conformations of ethane H C H C H H H Staggered conformation H H H H H 600 H H H H H 3000 H 1800 H H H H H H H = 600 = 1800 = 300 Eclipsed conformations H H HH H H 120 H H 240o o 360o H H H H H H H =0 H = 1200 H H H H H H = 2400 HH = 3600 Equilibrium between conformations of ethane HH H H H rotate + 3K cal. mol 600 H H -1 H H H Staggered conformation = 60 o , 180 o , 300 o H H Eclipsed conformation =0 o , 120 o , 240 o , 360 o Unit -4 Stereochemistry Problem 4-7 Cl Following is the structural formula of 1,2– dichloroethane. H H C C H H Cl a) Draw Newman projections for all staggered and eclipsed conformations formed by rotation from 00 to 3600 about the carbon- carbon single bond. b) Which staggered conformation(s) has the lowest energy; which has the highest energy? c) Which eclipsed conformation(s) has the lowest energy which has the highest energy? B. Conformation of Propane. Propane is the next higher member in the alkane series. Let us see how the potential energy change when a substituent is added to ethane. Consider propane (CH 3CH2CH3) whose structure is similar to that of ethane, except that a methyl group replaces one of ethane hydrogen atoms. H H H C1 C H H 2 H Ethane (CH3CH3) H ; H H H C C H H 1 2 CH3 3 Propane (CH3CH2CH3) H H H H CH3 H H H H H H Unit -4 Stereochemistry The Newman projections of propane differ from those of ethane only by the substituted methyl group. Again, the extreme conformations are staggered and eclipsed. However, the torsional energy between the two conformations is 3.4 K cal mol-1, slightly higher than for ethane. This difference is due to the steric interaction between the methyl substituent and the eclipsing hydrogen atom, known as steric hindrance. This effect can be attributed to the bulk (size) where two molecular fragments can not occupy the same region in space. Steric hindrance in propane due to the methyl substitution raises the energy, not only of the eclipsed conformation, but also of the staggered (lowest energy, or ground state) one, the latter to a lesser extent because of less steric interaction. H CH3 H H CH3 rotate + 3.4 K cal. mol H H H Staggered propane -1 Torsional energy 600 H H H Eclipsed propane H Unit -4 Stereochemistry Problem: 4. 8. Following is the Structural formal of Chloropropane Cl a) H H C1 C H H H 2 C3 H H Draw Newman projections for all staggered and eclipsed conformation formed by rotation about C1 – C2 bond from 00 to 3600. b) Which Staggered conformation(s) has the lowest energy; which has the highest energy? c) Which eclipsed conformation(s) has the lowest energy, which has thhe highest energy? C. Conformation of Butane The conformational Situation becomes more complex as alkane becomes larger, Let as look at conformations of butane. Butane can be consider as disubstituted ethane in which one hydrogen each on ethane carbon atoms are substituted by methyl group. H H H C1 C H H 2 H Ethane (CH3CH3) H H H C C H H 1 H 2 H C3 C H H H Butane(CH3CH2CH2CH3) When the conformations of butane are viewed along the bond between carbons 2 and 3, there are two types of staggered conformations and two types of eclipsed conformations for butane. The staggered conformation Unit -4 Stereochemistry in which the methyl groups are at the maximum distance apart ( = 1800) is called the ( = 600) is called the anti conformation; and that in which they are closer together gauche conformation. In one eclipsed conformation ( = 0), methyl is eclipsed by methyl. In the other ( = 1200), methyl is eclipsed by hydrogen. Anti conformation is the most stable conformation of butane while the eclipsed conformation ( = 0 = 3600) is the most unstable conformation of butane. CH3 CH3 H CH3 H H H CH3 H HH H HH CH3 Relative torstional 0.0 Kcal. mol-1 (reference) energy = 180 Anti (Most stable) H 0.9 Kcal.mol-1 H H CH3 CH3 H CH3 3.8 Kcal.mol-1 H H HH 4.5 Kcal.mol-1 = 600 Gauche = 120 eclipsed = 360 eclipsed (Least stable) Note that both gauche and anit conformations of butane are staggered conformations, yet the gauche conformations are approximately 0.9 K cal mol-1 higher in energy than the anti conformation. The difference in energy between these conformations is due to non bonded interactions between hydrogen atoms and methyl groups. The non bonded interaction in the case of gauche butane arises because the two methyl groups are close to each other than they are in the anti conformation. You should also note that, even though the two staggered conformations with methyl group gauche (dihedral angles 600 and 3000) have equal energies, they are not identical. They are related by reflection; one is the reflection of the other. Notice that the conformations with eclipsed –CH3 and –H groups (dihedral angles of 1200 and 2400 ) are also related by reflection. Unit -4 Stereochemistry If we assign the energy values for the different eclipsing interaction, we can predict the torsional energy in each eclipsed conformation. The torsional energy of eclipsed conformation with dihedral angle ()= 00 (4.5 K. cal. mol-1) is the sum of the energy of interaction of the two methyl groups (-CH3/-CH3 eclipsing interaction ) which is 2.5 K cal mol- and the energy of interactions of the two hydrogen atoms(Hydrogen /Hydrogen interactions ) which is 2 K cal mol-1(2 X 1k cal mol-1) as shown below . 2.5 K cal mol-1 CH3 CH3 Total:- 2.5 + (2x1) = 4, 5 K cal mol-1 -1 1 K cal mol H H H H 1 K cal mol-1 In the same way the torsional energy of eclipsed conformation with dihedral angle () 1200 (3.8 K cal mol-1), is the sum of the energy of interaction for the two methyl /Hydrogen interactions which is 2.4 Kcalmol-1(2 x 1.4 K cal mol-1) and the energy of interaction for Hydrogen /Hydrogen eclipsing interaction which is 1 K cal mol-1 as shown below. 1.4 K cal mol-1 H CH3 Total = 1 + (2X1.4 ) = 3.8 Kcalmol-1 H H 1 K cal mol-1 H CH3 1.4 K cal mol-1 Unit -4 Stereochemistry The notion of assigning definite energy values to specific interactions with in a molecule is very useful because it helps for conformational analysis of other alkanes. A summary of what we have seen thus far is given in Table 4.3. Table 4-3. Energy costs for interactions in alkane conformers Interaction H Cause H eclipsed H CH3 eclipsed CH3 Energy cost (Kcal mol-1) Torsional Strain 1.0 Mostly torsional strain 1.4 CH3 eclipsed Torsional plus Steric 2.5 strain CH3 CH3 gauche Steric Strain 0.9 Problem 4.9 Sight along the C2 – C3 bond of 2,3 –dimethylbutane, and draw a Newman projections for all the staggered and eclipsed conformation. Draw the expected potential energy diagram for this molecule. 1 2 CH3 CH2 CH3 3 CH 4 CH3 CH3 2, 3 - dimethyl butane Unit -4 Stereochemistry 4.5.3. Conformations of Cycloalkanes The smallest cycloalkane is cyclopropane. It is much less stable than expected for three methylene groups (-CH2- ). This is also the same for the other cycloalkanes such as cyclobutane and cyclopentane; why should this be ? A theoretical interpretation of this observation was proposed by Adolf Von Baeyer. Baeyer suggested that, since carbon prefers to have tetrahedral geometry with bond angles of approximately 1090, ring sizes other than five and six may be strained to exist and be very much unstable. Baeyer based his hypothesis on the simple geometric notion that a three- membered ring (cyclopropane ) should be an equilateral triangle with bond angles of 600, a four membered ring (cylclobutane ) should be a square with bond angle of 900, a fivemembered ring (cyclopentane) should be a regular pentagon with bond angles of 108 0, and so on. According to baeyers analysis, cyclopropane, with a bond- angle compression of 1090 – 600 = 490, Should have a large amount of angle strain and must therefore be highly reactive. Cyclobutane (1090 – 900) =190 angle strain) must be some what strained, but cycloheptane (1090 – 1280 = 190 angle strain) and higher cycloalkanes that have very large rings should be strain-free. The concept of angle strain- the strain that arises when a bond angle is either compressed or expanded compared to its normal value (tetrahedral value) is very useful. Several factors in addition to angle strain are involved in determining the shape and total strain energy of cycloalkanes. One such factor is the barrier to bond rotation (torsional strain) encountered earlier in the discussion of alkane conformations. We said at that time that open chain alkanes are most Unit -4 Stereochemistry stable in a staggered conformation and least stable in an eclipsed conformation. A similar conclusion holds for cycloalkanes. Torsional strain is present in cycloalkanes if any neighboring C-H bonds eclipse each other. For example, Cyclopropane must have considerable torsional strain( in addition to angle strain), because C-H bonds on neighboring carbon atoms are eclipsed. Larger cycloalkanes minimize torsional strain by adopting puckered non planar conformations.In addition to angle strain and torsional strain, steric strain is yet a third factor that contributes to the overall strain energy of cycloalkanes.It is the strain due to repulsive interactions when atoms approach each other too closely. As in gauche butane, two nonbonded groups repeal each other if they approach too closely and attempt to occupy the same space. Such non-bonded steric interactions are important in determining the minimum energy conformations of medium – ring (C7 –C11) Cycloalkanes. Generally, cycloalkanes adopt their minimum-energy conformations for a combination of these three factors namely, Angle strain, Torsional strain and steric strain. A. Cyclopropane. The observed C-C-C bond angles in cyclopropane are 600, a value considerably smaller than that of the 109.50 predicted for sp3- hybridzed carbon atoms. Furthermore, hydrogen atoms on adjacent carbons are forced into an eclipsed relationship; cyclopropane is a strained molecule due to both angle strain and torsional strain. Cyclopropane's three carbon atoms are of geometric necessity, coplanar, and rotation about, its carbon- carbon bonds is impossible. Torsional strain in cyclopropane arises because of the eclipsed C-H bonds around the ring. The total strain energy in cyclopropane is approximately 28K cal mol-1. It is because of its extreme degree of Unit -4 Stereochemistry intermolecular strain that cyclopropane and its derivatives undergo several ring-opening reactions not shown by larger cycloalkanes. H H All adjacent pairs of bonds are eclipsed H 600 H H H B. Cyclobutane . In all cycloalkanes larger than cyclopropane, non planar or puckered conformations are favored. Cyclobutane is not quite flat but is slightly bent so that one carbon atom lies about 250 above the plane of the other three which gives it a puckered conformation. If cyclobutane were planar, all C-C-C bond angles would be 900, and there would be eight pairs of eclipsed hydrogen interactions which were not observed. Puckering of the ring changes the energy of the ring by decreasing the torsional strain associated with eclipsed hydrogen interactions but it increase further the angle strain due to compression of C-CC bond angles. Since the decrease in torsional strain is greater than the increase in angle strain, puckered cyclobutane. is more stable than planar cyclobutane. In the conformation of lowest energy(pucked conformation),the measured bond angle is 88o. The strain energy in cyclobutane is approximately 26 Kcal mol-1. 25o ............................ Planar conformation of cyclobutane Puckered conformation of cyclobutane Unit -4 Stereochemistry C. Cyclopentane. Cyclopentane might be expected to be in a planar conformation because the angles in a regular pentagon are 108o close to tetrahedral angle(109.5o) with a little angle strain. However, such a planar arrangement would have ten H - H eclipsing interactions which creates a torsional strain of approximately 10 Kcal mol-1. The puckering of the ring reduces part of this eclipsed torsional strain by twisting the ring into an " envelop" conformation. In this conformation, four carbon atoms are in a plane and the fifth is bent out of the plane, rather like an envelope with its flap bent upward. In the envelope conformation, C-C-C bond angles are reduced (increasing angle strain), but the number of eclipsed hydrogen interactions is reduced (Decreasing torsional stain). Overall, the molecule is more stable in the envelope conformation than in the planar conformation. The average C-C-C bond angle in cyclopentane is 1050, indicating that in its conformation of lowest energy, cyclopentane is slightly puckered. The stain energy in cyclopentane is approximately 6.5 K cal mol-1. Planar Conformation of cyclopentane Envelope Conformation of cyclopentane D) Cyclophexane. Planar cyclohexane would have twelve H - H eclipsing interactions and six fold bondangle strain(a regular hexagon requires 1200 bond angles) which will make it unstable. However, it is puckered into a three-dimensional conformation that relieves all strain in cyclohexane which adopts a number of Unit -4 Stereochemistry puckered conformations, t he most stable of which is the chair conformation. In a Chair conformation, all C-C-C bond angles are 109.50 (Strain free) and hydrogen’s on adjacent carbons are staggered with respect to one another (removing torsional strain). Also no two atoms are close enough to each other for any non bonded interaction strain to exist. Thus, there is no strain of any kind in a chair conformation of cyclohexane. H H H 1200 H H H H H H H H H H H H H H H H H H H H H 1200 Planar cyclohecane 0 (120 bond angles, 12 eclipsing hydrogens) Chair cyclohexane (Nearly tetrahedral bond angles, no eclipsing hydrogens). In a chair conformation of cyclohexane, the C-H bonds are arranged in two different orientations; six C-H bonds are parallel to the principal molecular axis and are called axial hydrogen’s and the other six are perpendicular to this axis and are located approximately along the equator of the molecule and are called equatorial hydrogens. Three axial hydrogens point straight up; the other three axial bonds point straight down. Notice also that axial bonds alternate, first up and then down as you move from one carbon of the ring to the next. Equatorial bonds also alternate first slightly up and then slightly down as you move from one carbon of the ring to the next, Notice further Unit -4 Stereochemistry that if the axial bond of a carbon point upwards, then the equatorial bond on that carbon points slightly downward. Conversely, if the axial bond on a particular carbon points downward, then the equatorial bond on that carbon points slightly upward. H H H H H H H H H H H H Equatorial hydrogen's (three slightly up & three slightly down ) Axial hydrogens (three upward & three downward) H H H H H H H H H H H H Axial and equatorial hydrogens (Six axial and six equatorial). There are other non planar conformations of cyclohexane, two of which are, the boat conformation and twist-boat conformation. A boat conformation is considerably less stable than a chair conformation because of the torsional strain associated with four sets of eclipsed hydrogen and the non bonded interaction strain between the two flagpole hydrogens. The difference in potential energy between chair and boat conformations is approximately 6.5 K cal mol-1. Some of the strain in the boat conformation can be relieved by a slight twisting of the ring to form a twist-boat conformation . It is estimated that a twist-boat is favored over a boat conformation by approximately 1.5 K calmol-1. Unit -4 Stereochemistry H H H H H H H H Boat Twist Boat H H H H H H H H H H H Chair H Boat Cyclohexane is not conformationally rigid. It is capable of interconverting one chair conformation to the other chair conformation through the boat conformation. The two equivalent chair conformations can be interconverted by twisting one chair first to a boat and then to the other chair. The two chair conformations readily interconvert, resulting in the exchange of axial and equatorial positions. This interconversion of chair conformations is usually referred to a ring-flip. In this process (“flipping"), all axial hydrogens in one chair become equatorial in the other and vice versa. The energy for this conversion is 10.8 K Cal mol-1 and is rapid at room temperature. H H H H H H H H H H H H H H H H H H H H H H H H H H H H H H Boat H H H Chair H Chair H Unit -4 Stereochemistry If a hydrogen atom of cyclohexane is replaced by a methyl group or other alkyl group, the group occupies an equatorial position in one chair and an axial position in the other chair. This means that the two chairs are no longer of equal stability. Structural studies have established that approximately 95 % of the molecules of methylcyclohexane are in the chair conformation that has an equatorial methyl group while only 5 % of the molecules have an axial methyl group at room temperature. CH3 H CH3 5% 95 % H What is the structural basis for the observation that equatorial methylcyclohexane is more stable that axial methylcyclohexane? A convenient way to describe the relative stabilities of chair conformations with equatorial or axial substituents is in terms of a type of non bonded interaction called diaxial interaction. It refers to the repulsion between an axial substituent and an axial hydrogen (or other group) on the same side of the ring. In methylcyclohexane, when the –CH3 is axial, it is parallel to the axial C-H bonds on carbons 3 and 5 where the –CH3 group is crowded with two unfavorable methyl - hydrogen diaxial interactions. No such unfavorable 1, 3- diaxial interactions exist when the methyl group is in an equatorial position. For methylcyclohexane, the equatorial methyl conformation is favored over the axial methyl conformation by about 1.74 K col mol-1. The greater stability of an equatorial group, compared with axial group is due to steric effect where the axial group is crowded due to 1,3 – diaxial repulsion between itself and the other two axial substituents located on the same side of the ring. Stereochemistry .... ... C H H .... . H H H .... ... ... ... ... . ... Unit -4 H H C H 1,3- diaxial interactions between hydrogen of axial CH3 and axial hydrogens At C-3 and C-5. (less stable) H H No-1,3-diaxcal interactions between hydrogen of equatorial CH3 and axial hydrogen's at C-3 and C-5 (more stable) Other substituted cyclohexanes are similar to methyl cyclohexane. The two chair conformations exist in rapid equilibrium, and the one in which the substituent is equatorial is more stable. The relative amounts of the two conformations depend on the effective size of the substituent. As the size of the alkyl substituent increases, preference for conformations with the group equatorial increases. A branched alkyl group such as isopropyl and tert -butly groups show greater preference for the equatorial orientation than does methyl. CH(CH3)2 H CH(CH3)2 3% H 97 % C(CH3)3 H C(CH3)3 0.1 % 99.9 % H Unit -4 Stereochemistry Problem 4-10 Draw two different chair conformations of bromocyclohexane, showing all hydrogen atoms. identify each substituent as axial or equatorial. Indicate the most stable conformation. Summary Our concern in the chapter has been with the spatial arrangement of atoms and groups in molecules. Chemistry in three dimensions is known as stereochemistry. It deals with molecular structures. Compounds that have the same molecular formula but different structures are known as isomers. There are different types of isomers. The common ones are constitutional isomers and stereoisomer. Constitutional isomers are compounds whose atoms are connected differently. Constitutional isomers may have different carbon skeletons (Skeletal isomers), different functional groups (functional isomers) or different locations of a functional group along the chain (positional isomers). Stereo isomers are compounds which have the same connection (same order of attachment) of atoms in their molecules but a different three dimensional orientation of their atoms in space (different geometry). Stereo isomers can be divided into enantiomers, diasteromers and geometric isomers. nonsuperimposable mirror – image stereoisomers. Enantiomers are Diastereomers are nonsuperimposatble, non-mirror image stereo isomers and geometric isomers are those which have substituents on the same side or opposite side of a double bond or ring. Unit -4 Stereochemistry A molecule is chiral if it can’t be superimposed on its mirror image. The most common kind of chiral molecule contains a carbon atom that bears four different substituent. Such a carbon is called a stereogenic center (asymmetric center). Chirality is a property of a molecule as a whole, not of a particular atom. An achiral molecule is that which can be superimposed on its mirror image. It has a plane of symmetry that bisects the molecule into two mirror image halves. Optical activity, the capacity to rotate plane polarized light, is a physical property of chiral molecules. Enantiomeric forms of the same molecule rotate plane polarized light an equal amount but in opposite directions. The enantiomer that rotates plane polarized light in the clockwise (positive) direction is said to be dextrorotatory and that which rotates in anticlockwise (negative) direction is said to be levorotatory. In order to be optically active a substance must be chiral, and one enantiomer must be present in an amount greater than the other. A racemic mixture is optically inactive and contains equal quantities of enantiomers. A ploarimeter in an instrument used to detect and measure the magnitude of optical activity. Specific rotation is the number of degrees the plane polarized light is rotated by a molecule measured at 1 molar concentration and 250 C using sodium lamp (589 nm). It is used to express the optical activity of a molecule. The configuration at any stereocenter can be specified by the Cahn- Ingold-Prelog convention, known alternatively as the R.S convention. A Fischer projection is a two – dimensional representation showing the configuration of a chiral molecule.Horizontal lines represent bonds projecting forward and vertical lines represent bond projecting to forward and vertical lines represent bond projecting to the back where the stereogenic center is at the Unit -4 Stereochemistry intersection of the two perpendicular lines. Meso compounds contain two or more stereogenic centers, but are achiral ( optically inactive ) overall because they have plane of symmetry due to identical substituents on the stereogenic centers. A Conformation is any three dimensional arrangement of atoms of a molecule that results by rotation about one or more single bonds. One convention for showing conformations is the Newman projection. A dihedral angle is the angle created by the two intersecting planes. Staggered conformations occur at dihedral angles of 600, 1800, and 3000. Eclipsed conformations occur at dihedral angles of 00, 1200, and 2400. Staggered conformations are more stable than eclipsed conformations due to less intermolecular strain (torsional strain, angle strain and non-bonded interaction strain). The lowest- energy conformation of cyclopentane is an envelope conformation. The lowest-energy conformations of cyclohexane are two interconvertible chair conformations. In a chair conformation,six bonds are axial and six bonds are equatorial. Bonds which are axial in one chair are equatorial in the alternative chair. Boat and twist- boat conformations are higher in energy than chain conformations. The more stable conformation of a substituted cyclohexane is the one that have substituents at equatorial position that minimizes diaxial interactions. Unit -4 Stereochemistry Additional Problemsproblems 1. Write all possible constitutional isomers for the following compounds. a) Alkanes with formula C7 H16 b) Alcohols with formula C6H14O c) Ketones with formula C6H12O d) Amines with formula C6 H15 N 2. Draw all structures for the geometrical isomers of each of the following compounds. Label each double bond as Cis- or Trans (Z or E) and write the name of each isomer. a) 3- methyl -3- hexane b) 2,3- Dimethyl -2- pentene c) 1,2-Dibromoethane d) 2-chloro -2- butane e) 4- Methyl -3- hexen-1- ol. 3. Which of the following compounds are chiral and thus capable of existing in optically active forms? Identify the chiral center or centers. a) b) CH3CH2CHCH2CH3 Cl OH c) 1 - Chlorobutane e) Br g) C6H5CHCH3 d) 3 - Chloro- 2- butanol Cl OH CH2 = CH CH CH3 f) 4 -Bromo-1chlorocycdohexene h) 1,3 dimethylbenzene Unit -4 Stereochemistry 4. Assign an ( R ) or (S) absolute configuration to each of the following molecules Cl a) C H CH2CH3 b) HO COOH CH3 H3C c) CH2Cl C C NH2 COCH3 O2N CH=CH2 CH(CH3)2 d) C CH2OCH3 COOH e) H O CH2CH3 Cl 5. Using R and S descriptors, write all possible combinations (pairs) of enantiomers, diastereomers and meso forms. a) CH3 CH CH CH3 b) CH3 CH CH CH2Br c) HO CH2 CH CH CH2OH Br OH Br Br OH OH 6. Draw Newman projections for staggered and eclipsed conformations formed by rotation about C2 – C3 bond for the following compounds. a) Br CH2CH2CH2Br b ) CH3 CH CH CH3 OH OH 7. Draw the two chair conformations for each of the following compounds and indicate which conformer is more stable. a) Trans -1- ethyl -2- methylcyclohexane b) Cis -1, 3- Dimethylcyclohexane. c) Trans -1,4- Diethyl cyclohexane .