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150 CHAPTER 5 (h) This compound has an internal plane of symmetry, so it is a meso compound. As such, it is achiral and optically inactive. 5.58. In each case, begin by numbering the carbon atoms in the Fischer projection (from top to bottom) and then draw the skeleton of a bond-line drawing with the same number of carbon atoms. Then, place the substituents in their correct locations (by comparing the numbering system in the Fischer projection with the numbering system in the bond-line drawing). When drawing each substituent in the bond-line drawing, you must decide whether it is on a dash or a wedge. For each chiral center, make sure that the configuration is the same as the configuration in the Fischer projection. If necessary, assign the configuration of each chiral center in both the Fischer projection and the bond-line drawing to ensure that you drew the configuration correctly. With enough practice, you may begin to notice some trends (rules of thumb) that will allow you to draw the configurations more quickly. (a) (b) (c) (d) (e) 5.59. (a) The compound in part (a) of the previous problem has an internal plane of symmetry, and is therefore a meso compound: (b) The structures shown in parts (b) and (c) of the previous problem are enantiomers. An equal mixture of these two compounds is a racemic mixture, which will be optically inactive. (c) Yes, this mixture is expected to be optically active, because the structures shown in parts (d) and (e) of the previous problem are not enantiomers. They are diastereomers, which are not expected to exhibit equal and opposite rotations. 5.60. As we saw in problem 5.58, it is helpful to use a numbering system when converting one type of drawing into another. When drawing each substituent in the Fischer projection, you must decide whether it is on the right or left side of the Fischer projection. For each chiral center, make sure that the configuration is the same as the configuration in the bond-line drawing. If necessary, assign the configuration of each chiral center in both the Fischer projection and the bond-line drawing to ensure that you drew the configuration correctly. With enough practice, you may begin to notice some trends (rules of thumb) that will allow you to draw the configurations more quickly. (a) H OH CH2OH HO H O OH HO OH O OH OH 12 3 4 1 2 3 4 www.MyEbookNiche.eCrater.com