Week5ProblemSet(Solutions) (3/6,3/7,3/8) ConceptsCovered Acid/Base ChairConformers Stereochemistry CyclicIsomers NewmanProjections CarbocationRearrangements Reactions HXAdditiontoAlkenes BrominationofAlkenes HalohydrinFormation Acid-CatalyzedHydrationofAlkenes Natalie Palaychuk Natalie Palaychuk Natalie Palaychuk Natalie Palaychuk Russell Shelp 3.#a)#These#two#compounds#are#diastereomers.#You#can#figure#this#out#by#assigning# the#configuration#of#each#chiral#center.#When#you#do#that,#you#will#see#that#the#chiral# center#with#the#alcohol#stayed#the#same,#while#the#chiral#center#with#the#Br# switched.# OH Br (S) (S) and (S) (R) Br # b)#These#two#compounds#are#conformers.#In#chair#conformations,#you#will#notice# that#everything#that#was#axial#becomes#equatorial,#and#vice#versa,#while#the# substituents#stay#pointing#in#the#same#direction.# OH Br Br and # If#you#look#at#these#compounds,#and#use#the#arrow#to#indicate#the#same#carbon,#you# can#see#that#the#substituent#on#the#first#carbon#is#down#and#equatorial#on#the#first# compound,#and#down#and#axial#on#the#second.#The#other#substituent,#which#is#still# two#carbons#away#in#each,#is#up#and#axial#in#the#first,#and#up#and#equatorial#in#the# second.#Therefore,#these#are#conformers.# # c)#These#compounds#are-constitutional-isomers#because#they#have#the#same# substituents,#but#different#connectivity.# # d)#These#two#compounds#are#identical.##When#you#assign#stereochemistry,#you#will# see#that#they#both#have#the#same#configuration.# OH HO (R) (R) and # Alternatively,#if#you#flip#over#the#yDaxis,#you#will#get#the#other#compound.# OH HO # e)#These#to#compounds#are#enantiomers.## # The#first#step#in#figuring#this#out#is#to#convert#the#Newman#projection#into#a# sawhorse#configuration.## # In#this#configuration,#remember#that#the#substituents#on#the#left#side#point#away# from#you,#and#the#substituents#on#the#right#point#towards#you.# Ph Ph Et Br OH Et Br # # Now#you#can#assign#stereochemistry#to#both#the#original#sawhorse,#and#the#new#one.# In#doing#so,#you#will#see#that#both#chiral#centers#are#switched,#so#they#are# enantiomers.# # OH Ph Et Et Ph (S) (R) (S) HO # # # # # # # # # # # # # # # # # # # # (R) Br Br OH # Ella Cohen (4) There are a total of 11 isomers possible for this problem. How do we go about finding these isomers? First let’s start with the constitutional isomers. From the molecular formula and the condition that we must have a cyclohexane in the structure, we can deduce that there are two substituents on the ring: Cl and OH. Once the substituents are known, we can place the substituents increasingly apart from each other on the ring so find all the unique constitutional isomers. Starting from both on the same carbon, we move to a 1,2 relationship, followed by a 1,3 and then 1,4. 1,5 is not possible since it is actually just another form of 1,3. Also, it does not matter which substituent you start at the 1 position as the relationship between the substituents will stay the same. Chance Dunbar Next, we have to determine if stereoisomers are possible for each constitutional isomer. This molecule is achiral as there are no atoms that attached to 4 different substituents. The sides of the ring on either side of the carbon at the 1 position are identical. This is the only isomer possible for this constitutional isomer. Both of these constitutional isomers can be chiral and each has 2 chiral centers (indicated by the *). The number of stereoisomers possible is 22 = 4 for each of them. This constitutional isomer is achiral since there is an internal plane of symmetry down the y-axis in the middle. However, since this is a ring, we can have cis/trans isomerism between the substituents. So there are a total of two stereoisomers associated with this constitutional isomer. To find all the stereoisomers for the chiral constitutional isomers, start with the substituents either cis or trans to one either. I’ll show the process for the 1,2 ring, but it’s the same for the 1,3 ring. I randomly chose to have both substituents coming out of the page. This is one of the possible stereoisomers. By definition, the enantiomer is the compound that has the opposite absolute configuration for all stereocenters. The easiest way to do this is to just invert both stereocenters. You can also draw a mirror plane find the mirror image. Chance Dunbar Now we have one pair of enantiomers, we need to find the other pair of enantiomers. Each molecule in this other pair of enantiomers will be a diastereomer to each of the enantiomers we already found. By definition, a diastereomer is a stereoisomer in which one or more but not all stereocenters have their configuration inverted. Since we only have 2 stereocenters, we need to change the configuration of only one stereocenter to find its diastereomer. Another way to think of this is that we started with the substituents cis to each other, but they can also be trans. We now have one diastereomer, but this molecule has its own enantiomer. To find it, repeat the process that was done previously by either inverting all the stereocenters or using the mirror image. Alternatively, you can also find the above cis isomer’s other diastereomer by inverting the other stereocenter (the carbon with the chloro group), which will give you the missing 4 th isomer. Repeat this process to for the 1,3 cyclohexane to find all of its isomers. For the 1,4 ring, there are only two ways to place the substituents: cis or trans. Since these are achiral, they have no enantiomers. You can try to find the enantiomers, but you will realize that they are the same compound as the first one. Chance Dunbar (5) This problem can seem overwhelming at first, so let’s break things down. a) It’s difficult to compare structures that are in different perspectives. My recommendation is to convert either all the chairs into Newman conformers or the Newmans into chairs. I will do the latter in this instance, but try the other method as well. To interpret cyclohexane Newman projections, pretend you are looking at the ring straight on from a level field. Due to the puckering of the ring, one end will be pointing down and the other will be pointing up. The Newman projection in this case shows the end pointing down in front (carbon 1) and the end pointing up in back (carbon 4). The “eye” in the above diagram shows the perspective being used. Using this method, we can convert the Newman projections into rings: Now let’s compare these to the compounds A-D. What exactly are we looking for to make sure they are an appropriate match? The first thing to check for is that they have the same connectivity, which means that they are the same constitutional isomer. Next, we must look for to see if the two structures share the same stereochemistry, in that the same substituents are either up or down when looking at the same view of the ring. Finally, we look to see that a ring flip has taken place, which means that all groups that were equatorial become axial, and all groups that are axial become equatorial (but retain their stereochemistry). Chance Dunbar Below each structure are listed the relationship of the substituents, whether they are up or down, and whether they are equatorial or axial. Remember, for chair flips we are looking for all axial groups to become equatorial and vice versa. Note: the chair does not have to be drawn in the opposite pucker as proof of a chair flip since it can be viewed from a different angle. Looking at compound A, we see that I and the tBu are both equatorial up. Its chair flip should then have I and tBu both be axial up. Therefore, compound A matches with compound II. Using this logic, we can match the rest of the compounds: Chance Dunbar (b) Now that we have the compounds matched, we can find the more stable conformer. The stability of the conformer will be dictated by the position of the tBu group as it is by far the bulkiest group. Bulky groups on chairs are most stable in the equatorial position, so the more stable conformer will be the conformer that has the tBu as equatorial. For each pair the more stable conformer has been circled (look for equatorial tBu): c) To determine the stereochemistry of compounds A-D, I find it easiest to change all of the chair structures into flat cyclohexane depictions. To do this, pretend you are looking at the chair from above. You should get something like this: Chance Dunbar Now we can assign absolute configuration to the stereocenters more easily. We will only be comparing A with D and B with C since those pairs share the same connectivity. Remember, if they are constitutional isomers, then they cannot be enantiomers or diastereomers. A and D have a 1,3 substituent relationship while B and C have a 1,2 relationship. A and D are enantiomers since both stereocenters have been inverted between them. B and C are diastereomers since only one stereocenter has changed between them. Chance Dunbar Natalie Palaychuk Natalie Palaychuk 7.#a)# HBr Br # There#are#two#key#things#to#remember#about#this#transformation:#Br#adds#to#the# more#substituted#side,#and#rearrangements#will#occur#if#they#can#provide#a#more# stable#carbocation#intermediate.# # The#hydrogen#will#add#to#the#right#side#of#the#alkene,#leaving#a#2˚#carbocation#right# next#to#a#quaternary#carbon.#Therefore,#you#can#shift#a#methyl#from#the#quaternary# carbon,#to#create#a#3˚#carbocation.# 1 2 3 1 # 3 2 # # From#there,#the#Br#will#attack#the#3˚#carbocation.#There#are#no#stereocenters#in#this# molecule,#so#only#one#product#is#formed.# # # b)# Br2 Br Br Br Br + (enantiomers) # For#this#transformation,#it#is#important#to#remember#that#Br2#always#adds#anti,#so# the#product#will#be#a#mix#of#enantiomers.# # When#determining#the#starting#material,#you#must#look#at#the#product,#and#decide# what#existed#before#the#addition,#and#what#was#added.#In#this#case,#the#Bromines# were#added,#meaning#that#the#two#methyls#already#existed.#In#the#product,#the# methyls#are#in#the#same#plane,#and#also#on#the#same#side#of#the#molecule,#indicating# that#the#product#originated#from#a#cis#alkene.# # # Ella Cohen c)# Cl Cl2 + Cl OH H2O OH (enantiomers) # In#the#halohydrin#addition,#the#halogen#and#the#water#add#anti,#and#the#water#adds# to#the#more#substituted#side.#There#is#a#mix#of#enantiomers#because#the#water#can# attack#from#above#or#below#the#carbocation#intermediate.# # d)# H2SO 4 # OH H2O # # In#acid#catalyzed#hydration,#water#adds#to#the#more#substituted#side#of#the#alkene.#In# this#case,#the#product#formed#does#not#have#any#stereocenters,#so#there#is#only#1# product.## Ella Cohen Russell Shelp Russell Shelp Russell Shelp
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