Objectives
After completing this section, you should be able to
- discuss the formation of carbon-carbon double bonds using the concept of sp2 hybridization.
- describe the geometry of compounds containing carbon-carbon double bonds.
- compare the molecular parameters (bond lengths, strengths and angles) of a typical alkene with those of a typical alkane.
- explain why free rotation is not possible about a carbon-carbon double bond.
- explain why the lack of free rotation about a carbon-carbon double bond results in the occurrence of cis-trans isomerism in certain alkenes.
- decide whether or not cis-trans isomerism is possible for a given alkene, and where such isomerism is possible, draw the Kekulé structure of each isomer.
Key Terms
Make certain that you can define, and use in context, the key term below.
Study Notes
Your previous studies in chemistry may have prepared you to discuss the nature of a carbon-carbon double bond. If not, you should review Section 1.8 of this course before beginning the present section. It is particularly important that you make molecular models of some simple alkenes to gain insight into the geometry of these compounds.
Geometric isomerism (also known as cis-trans isomerism or E-Z isomerism) is a form of stereoisomerism. Isomers are molecules that have the same molecular formula, but have a different arrangement of the atoms in space. That excludes any different arrangements which are simply due to the molecule rotating as a whole, or rotating about particular bonds. Where the atoms making up the various isomers are joined up in a different order, this is known as structural isomerism. Structural isomerism is not a form of stereoisomerism, and is dealt with in a separate Module.
Geometric (cis / trans) isomerism
These isomers occur where you have restricted rotation somewhere in a molecule. At an introductory level in organic chemistry, examples usually just involve the carbon-carbon double bond - and that's what this page will concentrate on. Think about what happens in molecules where there is unrestricted rotation about carbon bonds - in other words where the carbon-carbon bonds are all single. The next diagram shows two possible configurations of 1,2-dichloroethane.
![ball and stick models of anti (lowest energy) and eclipsed (highest energy) conformations of 1,2-dichloroethane.svg](https://chem.libretexts.org/@api/deki/files/381146/ball_and_stick_models_of_anti_(lowest_energy)_and_eclipsed_(highest_energy)_conformations_of_1%252C2-dichloroethane.svg?revision=2)
These two models represent exactly the same molecule. You can get from one to the other just by twisting around the carbon-carbon single bond. These molecules are not isomers. If you draw a structural formula instead of using models, you have to bear in mind the possibility of this free rotation about single bonds. You must accept that these two structures represent the same molecule:
![wedge-dash structures of anti (lowest energy) and eclipsed (highest energy) conformations of 1,2-dichloroethane.svg](https://chem.libretexts.org/@api/deki/files/381147/wedge-dash_structures_of_anti_(lowest_energy)_and_eclipsed_(highest_energy)_conformations_of_1%252C2-dichloroethane.svg?revision=1)
But what happens if you have a carbon-carbon double bond - as in 1,2-dichloroethene?
![ball and stick models for trans- and cis-1,2-dichloroethene with no free rotation about C-C double bond.svg](https://chem.libretexts.org/@api/deki/files/381176/ball_and_stick_models_for_trans-_and_cis-1%252C2-dichloroethene_with_no_free_rotation_about_C-C_double_bond.svg?revision=1)
These two molecules are not the same. The carbon-carbon double bond won't rotate and so you would have to take the models to pieces in order to convert one structure into the other one. That is a simple test for isomers. If you have to take a model to pieces to convert it into another one, then you've got isomers. If you merely have to twist it a bit, then you haven't!
Drawing structural formulae for the last pair of models gives two possible isomers:
- In one, the two chlorine atoms are locked on opposite sides of the double bond. This is known as the trans isomer. (trans : from latin meaning "across" - as in transatlantic).
- In the other, the two chlorine atoms are locked on the same side of the double bond. This is know as the cis isomer. (cis : from latin meaning "on this side")
![kekule structure of trans-1,2-dichloroethene.svg](https://chem.libretexts.org/@api/deki/files/381149/kekule_structure_of_trans-1%252C2-dichloroethene.svg?revision=1)
trans-1,2-dichloroethene |
![kekule structure of cis-1,2-dichloroethene.svg](https://chem.libretexts.org/@api/deki/files/381148/kekule_structure_of_cis-1%252C2-dichloroethene.svg?revision=1)
cis-1,2-dichloroethene |
The most likely example of geometric isomerism you will meet at an introductory level is but-2-ene. In one case, the CH3 groups are on opposite sides of the double bond, and in the other case they are on the same side.
![kekule structure of trans-but-2-ene.svg](https://chem.libretexts.org/@api/deki/files/381150/kekule_structure_of_trans-but-2-ene.svg?revision=1)
trans-but-2-ene |
![kekule structure of cis-but-2-ene.svg](https://chem.libretexts.org/@api/deki/files/381151/kekule_structure_of_cis-but-2-ene.svg?revision=1)
cis-but-2-ene |
The importance of drawing geometric isomers properly
It's very easy to miss geometric isomers in exams if you take short-cuts in drawing the structural formulae. For example, it is very tempting to draw but-2-ene as
CH3CH=CHCH3
If you write it like this, you will almost certainly miss the fact that there are geometric isomers. If there is even the slightest hint in a question that isomers might be involved, always draw compounds containing carbon-carbon double bonds showing the correct bond angles (120°) around the carbon atoms at the ends of the bond. In other words, use the format shown in the last diagrams above.
How to recognize the possibility of geometric isomerism
You obviously need to have restricted rotation somewhere in the molecule. Compounds containing a carbon-carbon double bond have this restricted rotation. (Other sorts of compounds may have restricted rotation as well, but we are concentrating on the case you are most likely to meet when you first come across geometric isomers.) If you have a carbon-carbon double bond, you need to think carefully about the possibility of geometric isomers.
What needs to be attached to the carbon-carbon double bond?
Think about this case:
![ball and stick models for 1-bromoethene with bromine pointed down or up at C1 - same molecule.svg](https://chem.libretexts.org/@api/deki/files/381154/ball_and_stick_models_for_1-bromoethene_with_bromine_pointed_down_or_up_at_C1_-_same_molecule.svg?revision=1)
Although we've swapped the right-hand groups around, these are still the same molecule. To get from one to the other, all you would have to do is to turn the whole model over. You won't have geometric isomers if there are two groups the same on one end of the bond - in this case, the two pink groups on the left-hand end. So there must be two different groups on the left-hand carbon and two different groups on the right-hand one. The cases we've been exploring earlier are like this:
![ball and stick models for trans- and cis-1,2-bromoethene.svg](https://chem.libretexts.org/@api/deki/files/381155/ball_and_stick_models_for_cis-_and_trans-1%252C2-bromoethene.svg?revision=1)
But you could make things even more different and still have geometric isomers:
![ball and stick models for trans- and cis-1-bromo-2-iodoethene.svg](https://chem.libretexts.org/@api/deki/files/381157/ball_and_stick_models_for_trans-_and_cis-1-bromo-2-iodoethene.svg?revision=1&size=bestfit&height=125)
Here, the blue and green groups are either on the same side of the bond or the opposite side. Or you could go the whole hog and make everything different. You still get geometric isomers, but by now the words cis and trans are meaningless. This is where the more sophisticated E-Z notation comes in.
![ball and stick models for (Z)- and (E)-2-bromo-1-chloro-1-iodoethene.svg](https://chem.libretexts.org/@api/deki/files/381159/ball_and_stick_models_for_(Z)-_and_(E)-2-bromo-1-chloro-1-iodoethene.svg?revision=1)
Rigidity of C=C Bonds
As discussed in Section 1.8 the double bond in the molecule ethene (H2C=CH2) is created by the overlap of two different sets of orbitals. The C-C σ bond is formed when an sp2 orbital from each carbon atom overlaps end to end. Also, the C-C pi bond is created by the side-to-side overlap of a pz orbital from each carbon atom.
![](data:image/png;base64,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)
Because they are the result of side-by-side overlap (rather then end-to-end overlap like a sigma bond), pi bonds are not free to rotate. If rotation about this bond were to occur, it would involve disrupting the side-by-side overlap between the two 2pz orbitals that make up the pi bond. If free rotation were to occur the p-orbitals would have to go through a phase where they are 90° from each other, which would break the pi bond because there would be no overlap. Since the pi bond is essential to the structure of ethene it must not break, so there can be no free rotation about the carbon-carbon sigma bond. The presence of the pi bond thus ‘locks’ the six atoms of ethene into the same plane.
![P orbital rotation.png](https://chem.libretexts.org/@api/deki/files/372720/P_orbital_rotation.png?revision=1&size=bestfit&width=673&height=287)
Restricted rotation about the double bond means that the relative positions of substituent groups above or below the double bond become significant. This leads to a special kind of isomerism in double bonds. Consider the alkene with the condensed structural formula CH3CH=CHCH3. We could name it 2-butene, but there are actually two such compounds due to this isomerism. The isomer in which the two methyl (CH3) groups lie on the same side of the molecule is called the cis isomer (Latin cis, meaning “on this side”) and is named cis-2-butene. The isomer with the two (CH3) groups on opposite sides of the molecule is the trans isomer (Latin trans, meaning “across”) and is named trans-2-butene. These two compounds are cis-trans isomers (or geometric isomers), compounds that have different configurations (groups permanently in different places in space) because of the presence of a rigid structure in their molecule. In general these isomers have different physical, chemical, and physiological properties.
![clipboard_ebfd5586f4e292c3409b06bdee33883d3.png](https://chem.libretexts.org/@api/deki/files/372721/clipboard_ebfd5586f4e292c3409b06bdee33883d3.png?revision=1&size=bestfit&width=614&height=332)
It is important to note that the presence of a double bond does not necessarily lead to cis-trans isomerism. Being able to tell if a double bond has the possibility of isomerism is a very important skill. Cis-trans can occur whenever both double-bond carbons are directly attached to a carbon and a hydrogen. In this case, interchanging the substituents on one of the double-bond carbons creates a different isomer.
![cis trans conversion.svg](https://chem.libretexts.org/@api/deki/files/372722/cis_trans_conversion.svg?revision=1&size=bestfit&width=481&height=175)
If one of the double-bond carbons of an alkene is attached to two identical groups, cis-trans isomerism is not possible. Here, interchanging the substituents on one of the double-bond carbons forms an identical molecule.
![Identical conversion.svg](https://chem.libretexts.org/@api/deki/files/372723/Identical_conversion.svg?revision=1&size=bestfit&width=529&height=234)
Worked Example \(\PageIndex{1}\)
Are the following molecules cis-trans isomers?
![propene.jpg](https://chem.libretexts.org/@api/deki/files/27312/propene.jpg?revision=1)
- Answer
-
Although the two molecules are seemingly different propenes, these two structures are not really different from each other. Because the one of the double-bond carbons is attached to two identical groups (hydrogens) it is incapable of forming cis-trans isomers. The interchange of two substituents seen here does not create a new isomer. If either molecule were flipped over top to bottom, the two would you would look identical.
Exercise \(\PageIndex{1}\)
Classify each compound as a cis isomer, a trans isomer, or neither.
![7.5.1 cis or trans.svg](https://chem.libretexts.org/@api/deki/files/410114/7.5.1_cis_or_trans.svg?revision=1)
- Answer
-
a) trans isomer
b) neither
c) cis isomer
d) cis isomer
Exercise \(\PageIndex{2}\)
Which of the following compounds could exist as cis/trans isomers? Draw (& label) both of the isomers for the ones that can.
- CH3CH=CHCH3
- (CH3)2C=CHCH3
- H2C=CHCH3
- CH3CH2CH=CHBr
- Answer
-
![7.5.2 solution cis trans from names.svg](https://chem.libretexts.org/@api/deki/files/410120/7.5.2_solution_cis_trans_from_names.svg?revision=1)
Exercise \(\PageIndex{3}\)
Draw (& label) the cis and trans isomer for each of the following compound names. If no cis/trans isomerism is possible, write none.
- 3-hexene
- 1-hexene
- 4-methylpent-2-ene (4-methyl-2-pentene)
- 1,1-dibromobut-2-ene (1,1-dibromo-2-butene)
- Answer
-
![7.5.3 solutions cis trans.svg](https://chem.libretexts.org/@api/deki/files/410121/7.5.3_solutions_cis_trans.svg?revision=1)
Exercise \(\PageIndex{4}\)
Name the following compounds using cis/trans nomenclature
![7.5.4 cis trans nomenclature.svg](https://chem.libretexts.org/@api/deki/files/410122/7.5.4_cis_trans_nomenclature.svg?revision=1)
- Answer
-
a) trans-4-methylhex-2-ene (trans-4-methyl-2-hexene)
b) cis-2,5-dibromohex-3-ene (cis-2,5-dibromo-3-hexene)