Richard F. Daley and Sally J. Daley www.ochem4free.com Organic Chemistry Chapter 17 Aromaticity 17.1 Benzene 868 Sidebar - Diamond, Graphite, and Buckyballs 17.2 The Stability of Benzene 874 17.3 Molecular Orbitals in Benzene 876 17.4 The Molecular Orbitals of Cyclobutadiene 17.5 Aromaticity 880 17.6 Hückel's Rule 882 17.7 Aromatic Ions 887 17.8 Naming Benzene Derivatives 891 17.9 Aromatic Heterocyclic Compounds 895 17.10 Polynuclear Aromatic Hydrocarbons 898 17.11 The Benzyl Group 900 Key Ideas from Chapter 17 901 872 879 Organic Chemistry - Ch 17 867 Daley & Daley Copyright 1996-2005 by Richard F. Daley & Sally J. Daley All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the copyright holder. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 868 Daley & Daley Chapter 17 Aromaticity Chapter Outline 17.1 Benzene 17.2 The Stability of Benzene History of the origins of the structure of benzene Evidence for the unusual stability of benzene compared to other alkenes 17.3 Molecular Orbitals in Benzene The molecular orbital structure of benzene 17.4 The Molecular Orbitals of Cyclobutadiene The molecular orbital structure of cyclobutadiene 17.5 Aromaticity Definition of aromaticity and how the molecular orbital structure of an aromatic molecule explains its stability 17.6 Hückel's Rule A statement of Hückel's Rule and a graphical method for its application 17.7 Aromatic Ions Some examples of aromatic anions and cations 17.8 Naming Benzene Derivatives Nomenclature of derivatives of benzene 17.9 Aromatic Heterocyclic Compounds The effect of placing a heteroatom in a conjugated ring 17.10 Polynuclear Aromatic Hydrocarbons Aromatic hydrocarbons with multiple rings 17.11 The Benzyl Group The special stability of the benzylic ion www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 869 Daley & Daley Objectives ✔ Understand the basis for the structure and special stability of benzene ✔ Recognize the differences between the molecular orbitals of benzene and acyclic conjugated dienes ✔ Know the factors that make a compound aromatic, nonaromatic, or antiaromatic ✔ Be able to apply Hückel’s rule and its graphical equivalent to predict whether a particular compound is aromatic ✔ Know the IUPAC rules for naming benzene derivatives ✔ Recognize that the special stability of an aromatic compound makes some molecules readily release a proton or a hydride ion in order to become aromatic ✔ Distinguish whether or not a pair of nonbonding electrons on a heteroatom is used to make a molecule aromatic ✔ Understand the basis for the special reactivity of a benzylic cation I was sitting, writing at my text-book; but the work did not progress; my thoughts were elsewhere. I turned my chair to the fire and dozed. Again the atoms were gamboling before my eyes. This time the smaller groups kept modestly in the background. My mental eye, rendered more acute by repeated visions of this kind, could now distinguish larger structures of manifold conformation: long rows, sometimes more closely fitted together; all twining and twisting in snake-like motion. But look! What was that? One of the snakes had seized hold of its own tail, and the form whirled mockingly before my eyes. As if by a flash of lightning I awoke; and this time also I spent the rest of the night working out of the consequences of the hypothesis. —Friedrich August Kekulé (Describing how he arrived at his proposed benzene structure) www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 870 Daley & Daley I An aromatic compound has a conjugated ring and a specific number of π electrons. Benzene is one example of an aromatic compound. n the second half of the 19th century, as chemists explored the chemical components responsible for the odor of such things as roses, vanilla, wintergreen, and almonds, they found that each had a common molecular characteristic—a benzene ring. Chemists then began calling all compounds that contain benzene ring aromatic compounds. The name, aromatic, stuck for benzenecontaining compounds, not because of their odor, either pleasant or unpleasant, but because of the presence of a benzene ring. Benzene is a cyclic compound that consists of six carbon atoms bonded together by σ bonds and a set of delocalized π bonds. All the electrons associated with those π bonds delocalize over all six carbons. Delocalized electrons in a cyclic conjugated system have a dramatic effect on the stability of the molecule. In fact, this stability makes aromatic molecules so unreactive that they do not follow the expected reaction pathways that their structures suggest they should. Aromaticity now refers to any compound that contains a ring of atoms with a delocalized π molecular orbital involving every atom of the ring and with 2, 6, 10, etc. electrons in the MO. As chemists studied aromatic compounds, they found that they possessed unexpectedly unique properties and reactivities. Benzene is a very important example of the aromatic compounds; thus, most of this chapter describes benzene and its derivatives. The rest of the chapter looks at other aromatic compounds. Chapter 18 examines the reactions of benzene. 17.1 Benzene In 1825, Michael Faraday isolated a chemical compound that condensed from illuminating gas, the fuel burned in gaslights. The compound boiled at 80oC and had the unusually small hydrogen-tocarbon ratio of 1:1. This ratio corresponded to the empirical formula of CH. In 1834, Eilhard Mitscherlich isolated the same compound by heating benzoic acid, which is found in gum benzoin, in the presence of lime. Mitscherlich also found that the compound had a 1:1 carbon-tohydrogen ratio and a molecular weight of 78. From this information he derived the molecular formula of C6H6. Because of its source, he named the compound benzin. It gradually evolved to the present name of benzene. For many years, chemists puzzled over the structure of benzene. Although they proposed a number of structures, none fit the experimental data. In the 1860s and 1870s, as chemists were able to synthesize some of these proposed structures, they clearly proved that these structures were not benzene. Two of the more interesting structures are those proposed by Ladenburg and Dewar. Ladenburg www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 871 Daley & Daley benzene, now called prismane because of its prism shape, isomerizes to benzene when heated to 90o. H H H H H H H H H H H H Ladenburg benzene Dewar benzene Another structure, proposed by Johann Josef Loschmidt in 1861, describes benzene quite well. In his structure the large circle represents the six carbon atoms, and the smaller circles represent the hydrogen atoms. Loschmidt's benzene However, Loschmidt's proposal for the structure of benzene saw only a very small circulation. He published a small book describing his work, but he never traveled to meet with other chemists and never published in the major scientific journals. Although his ideas were far ahead of his contemporaries, he was so shy and quiet that his contemporaries either didn't understand him or completely ignored him. In 1865, Friedrich August Kekulé proposed a structure for benzene similar to those used so far in this book. Kekulé benzene Because Kekulé was more outgoing than Loschmidt, his proposal got more attention. At first, the other chemists considered his structure bizarre because double bonds had only been proposed in 1859 and had not yet really been confirmed. However, in time, his structure became widely accepted as a reasonable representation of benzene. Ultimately, he received the credit for the proposal of a cyclic structure www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 872 Daley & Daley for benzene with equal C—C bonds. Chemists call his representation for benzene “Kekulé benzene.” Kekulé's first proposed benzene structure indicated that benzene was a cyclic conjugated triene. As a polyene with that much unsaturation, chemists expected it to react in certain ways, but it didn't. For example, according to Kekulé's structure, benzene should undergo electrophilic addition, as do other compounds with double bonds, but it doesn't. Instead it undergoes electrophilic substitution— the topic of Chapter 18. In almost all reactions involving benzene, the benzene ring stays intact. The aromatic carbon ring is so stable that the substituents on the ring react, but not the ring itself. Any addition reactions or any reactions that change the benzene ring require extreme reaction conditions. Substitution reactions are the characteristic reactions of benzene. Br Br2 FeBr3 Br Br Another problem with Kekulé's benzene structure is that two different isomers of any 1,2-disubstituted benzene should exist, but they don't. In one expected isomer, the two carbons with the substituents would have a double bond between them. In the other expected isomer, the two carbons with the substituents would have a single bond between them. In real life, benzene reacts to form only one disubstituted structure. CH3 CH3 or Br Br In response to this criticism, Kekulé proposed a second structure that oscillated with the first structure. The second structure was also a six-membered carbon ring with three single bonds and three double bonds, but in this structure, the single bonds and the double bonds had switched places. He suggested that this oscillation was continual and took place so fast that the two isomers could not be isolated. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 873 Daley & Daley CH3 CH3 Br Br Today, chemists recognize that this sort of “oscillation” does not take place—that there is no equilibrium between the two Kekulé structures. Instead of “oscillating,” the compound is really a resonance hybrid. In benzene, there are two resonance contributors with equal energy. To show that benzene is a resonance hybrid, chemists usually represent benzene with a circle in the center instead of drawing individual bonds. However, they do sometimes use Kekulé's structure to show electron movement. The hexagon with a circle inside indicates the delocalization of the 6 π electrons in three occupied molecular orbitals. It also serves as a reminder that all 6 C—C bonds have equal bond lengths. The Kekulé structures, on the other hand, show alternating double and single bonds. Typically double and single bonds have different lengths. Measurements of the actual structure of benzene show that each of the C—C bond lengths are the same (140 pm) and are midway between the bond lengths of a single (147 pm) and a double bond (133 pm). As a result, both resonance contributors contribute equally to the structure of benzene, which means that the two contributors have equal energy. Exercise 17.1 Benzene actually has three possible disubstituted isomers. Draw them. How many different disubstituted isomers do the Dewar benzene and Ladenburg benzene have? Draw them. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 874 Daley & Daley SIDEBAR—Diamond, Graphite, and Buckyballs About 200 years ago, chemists recognized that diamond and graphite were pure allotropic forms of carbon. Allotropes are different forms of the same element each having radically different properties. But it wasn't until much later that they figured out the structures of these two forms of carbon. Diamond consists entirely of sp3 hybridized carbons. Each carbon atom bonds to four other carbon atoms. This structure, shown below with one section highlighted, makes a very rigid form of carbon and accounts for the fact that diamond is one of the hardest of all materials. The structure of diamond with a single unit highlighted. Graphite, the most common form of pure carbon, has a structure of sp2 hybridized carbon atoms arranged in a series of fused benzene rings. The following illustration highlights one benzene ring unit to help you see the arrangement. Graphite is really sheets of carbon atoms that readily slide past one another on the electron clouds of the π molecular orbitals. This arrangement makes graphite soft and slippery—an excellent lubricant. Its black color and easy spreadability also make it a perfect material for pencil “lead.” The structure of graphite with a single unit highlighted. In the early 1970s two research groups, one in Japan and the other in Russia, simultaneously proposed a new form of carbon. They www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 875 Daley & Daley suggested that it was a spherical molecule made up of 60 carbon atoms arranged in rings: 12 five-membered rings and 20 sixmembered rings. To the Russian researchers, this new allotrope of carbon looked much like a soccer ball, but it reminded their American colleagues of the geodesic structures of Buckminster Fuller. Thus, they named the new carbon allotrope buckminsterfullerene. The name stuck, although usually they abbreviate the name to fullerene, or more affectionately, to “bucky balls.” Buckminsterfullerene, C60 Bucky balls were first isolated in the mid-1980s, but a practical synthesis was not discovered until 1990. The Nobel Prize in chemistry in 1996 was shared by Robert F. Curl, Jr. and Richard F. Smalley of Rice University and Sir Harold W. Kroto of the University of Sussex, Brighton, UK for their work in the synthesis and purification of bucky balls. The synthesis is a simple process: heat a graphite rod to temperatures above 1000oC in the absence of oxygen and collect the soot that forms on nearby cool surfaces. Fullerenes are isolated from this soot. The discovery of bucky balls caught the interest of chemists everywhere. Since 1990, chemists have made a variety of bucky ball allotropes. The discovery and investigation of these molecules has involved hundreds of researchers around the world working to understand the chemistry of the fullerenes. At the present time, they have made much progress. A recently discovered allotrope of carbon consists of chains of 300-500 carbon atoms with alternating single and triple bonds. This allotrope of carbon is synthesized by heating a thin graphite rod with a laser under an inert atmosphere. Structure of the chain of this allotrope of carbon The carbon chains form a spiral, as the following illustration shows. Little is known about this alkyne except that it is highly reactive and conducts electricity. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 876 Daley & Daley 17.2 The Stability of Benzene Aromaticity now refers to the unusual stability and low chemical reactivity of compounds with the unique conjugation of cyclic π bond delocalization. Benzene is the most common aromatic compound. As discussed in Section 17.1, the alternating single and double bonds of the Kekulé structure of benzene indicate that benzene should be quite reactive, but it is not. Comparing benzene’s heat of hydrogenation with the heats of hydrogenation of several similar compounds that all hydrogenate to cyclohexane shows the effect of aromaticity on benzene by allowing you to see their relative stabilities. Cyclohexene readily hydrogenates to cyclohexane. The heat of hydrogenation for this reaction is –28.6 kcal/mole. This amount is the same heat of hydrogenation expected for any cis alkene. H2 Pt Ho = –28.6 kcal/mole The heat of hydrogenation for 1,4-cyclohexadiene is –57.3 kcal/mole— twice that of cyclohexene. 1,4-Cyclohexadiene has two isolated double bonds, so this is the expected heat of hydrogenation. H2 Pt Ho = –57.3 kcal/mole www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 877 Daley & Daley The two double bonds of 1,3-cyclohexadiene are conjugated, so 1,3-cyclohexadiene should have a lower heat of hydrogenation than 1,4-cyclohexadiene, and sure enough it does. The heat of hydrogenation of 1,3-cyclohexadiene is –55.4 kcal/mole, which is 1.9 kcal/mole lower (more stable) than 1,4-cyclohexadiene. H2 Ho = –55.4 kcal/mole Pt The Kekulé structure of benzene gives it the name of 1,3,5cyclohexatriene. From the Kekulé structure, the expected heat of hydrogenation for benzene should be about three times that of cyclohexene, or about –85.8 kcal/mole. However, when the reaction was run, the actual heat of hydrogenation was –49.8 kcal/mole. H2 Ho = –49.8 kcal/mole Pt Resonance energy is the difference in the calculated heat of hydrogenation of a conjugated compound, assuming no resonance or conjugation, and its actual heat of hydrogenation. The heat of hydrogenation of benzene is 36 kcal/mole less exothermic than expected based on three conjugated double bonds. This difference, called the resonance energy, is due to the delocalized π electrons. Figure 17.1 graphically shows the heats of hydrogenation of these various compounds. Examination of this figure clearly shows that the heat of hydrogenation of benzene is considerably less than the hypothetical 1,3,5-cyclohexatriene and even less than that of 1,3-cyclohexadiene. This difference gives you a good picture of the relative stability of benzene. 1.9 kcal/mol Conjugation Energy Energy 36 kcal/mol Resonance Energy –28.6 kcal/mol –57.3 kcal/mol –85.8 kcal/mol –55.4 kcal/mol www.ochem4free.com –49.8 kcal/mol 5 July 2005 Organic Chemistry - Ch 17 878 Daley & Daley Figure 17.1. The heats of hydrogenation of cyclohexene, 1,3-cyclohexadiene, 1,4cyclohexadiene, the hypothetical 1,3,5-cyclohexatriene, and benzene. According to resonance theory, whenever a molecule allows you to draw significant resonance contributors, the hybrid molecule is more stable than any of the individual resonance contributors would be if they could exist. Although benzene has two equivalent resonance structures, its stability cannot be explained by resonance alone. The extra stability of benzene, when compared to the hypothetical 1,3,5cyclohexatriene, is due to its molecular orbitals. Exercise 17.2 If the structure of benzene were actually 1,3,5-cyclohexatriene, the carbon—carbon bonds would alternately measure 147 pm and 133 pm. However, the structure could not exhibit resonance. The following resonance structures violate a basic principle of resonance theory. Explain. 17.3 Molecular Orbitals in Benzene Benzene is a planar ring that consists of six sp2 hybrid carbon atoms. Each of these sp2 hybrid carbon atoms possesses an unhybridized p orbital. Because of the planar structure of the bonds between the carbons, the p orbital of each carbon overlaps the unhybridized p orbitals of its two adjacent carbon neighbors. This overlapping of the p orbitals creates a set of six π molecular orbitals that involves all of the carbon atoms in the ring and results in the delocalization of the six available carbon electrons over the entire ring. Although the MOs in benzene are cyclic instead of linear, like those of the conjugated dienes and allylic systems covered in Chapter 16, they form according to the same principles. The six p atomic orbitals of the six carbons form six MOs in the benzene π system. The six MO energy levels are located equally above and below the energy level of the starting atomic orbitals. The three lower energy level MOs are the bonding MOs, so they fill with the electrons first. The three higher energy MOs are antibonding and have no electrons in the ground state. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 A nodal plane symmetrically connects individual nodes in a molecular orbital. 879 Daley & Daley An important consideration for drawing nodes in any π MO is that each MO with nodes must have at least one plane of symmetry. On both sides of that plane of symmetry the MO must have identical features: the same number of nodes, or nodal planes, and the same number of bonding, nonbonding, and antibonding orbital interactions. To achieve symmetry in a cyclic MO, nodal planes must symmetrically divide the orbital. Figure 17.2 shows the nodal planes of the six π MOs of benzene. Node - + - + + - + Node + 6* - + Node - + Node - Node + + 4* Node + - + + - - + + 5* + + - - - Node + + - + + - 2 Node - - + + + + - - 3 + + Node www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 + 880 + + + + - Daley & Daley + 1 - - - Figure 17.2. The six π molecular orbitals of benzene showing the nodal planes of each MO. Multiple orbitals having the same energy are degenerate orbitals. The number of perpendicular nodal planes in benzene ranges from none in the lowest energy MO (π1), which has all bonding interactions, to three in the highest energy MO (π6*), which has all antibonding interactions. However, unlike the acyclic conjugated polyenes, which increase in steps of one node per MO of increasing energy, benzene increases the number of nodal planes. There are two MOs of benzene (π2 and π3) each with one nodal plane and two (π4* and π5*) with two nodal planes. When a molecule has two different MOs with the same number of nodes, they usually have the same energy level, too. When more than one orbital in one chemical species have the same energy level they are called degenerate orbitals. Figure 17.3 shows the various energy levels of benzene and how they fill with electrons. Electrons fill the lowest energy level orbital before filling higher energy level orbitals. The ground state of benzene has six electrons in the π1, π2, and π3 MOs. These three MOs have a lower energy level than the energy level of the isolated p atomic orbitals from which they form. The six electrons in the three delocalized π MOs have a much lower energy than they would if they were in three localized π MOs. This accounts for the resonance energy of benzene. Energy 6 4 * * Antibonding 5 * M Os Isolated p orbitals 2 3 Bonding M Os 1 www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 881 Daley & Daley Figure 17.3. Energy diagram of the molecular orbitals of benzene showing the distribution of electrons. The arrangement of the energy levels here corresponds with the arrangement of the nodal planes in Figure 17.2. 17.4 The Molecular Orbitals of Cyclobutadiene Although you can draw benzene-like resonance structures for cyclobutadiene, experimental evidence shows that cyclobutadiene does not have the stability of benzene. Instead, cyclobutadiene is very unstable—much less stable than 1,3-butadiene. In fact, cyclobutadiene is so unstable that it requires special conditions to isolate it. An examination of the π MOs of cyclobutadiene helps explain its instability. The cyclobutadiene ring contains four sp2 hybrid carbons. Each carbon has an unhybridized p orbital, and these p orbitals overlap to form four molecular orbitals. The lowest energy MO (π1) contains all bonding overlaps. The next two MOs (π2 and π3) are degenerate orbitals with one symmetrically located nodal plane each. The final MO (π4) has two nodal planes with all antibonding interactions. Figure 17.4 shows these four MOs. + - + Node + - 4* + Node + - + - + + + 2 Node - - + - + + Node www.ochem4free.com 5 July 2005 3 Organic Chemistry - Ch 17 882 + + + - Daley & Daley + - 1 - Figure 17.4. The four π molecular orbitals of cyclobutadiene. Cyclobutadiene has four π electrons to place in the above MOs. Two electrons move into the π1 MO because the π1 MO is the lowest energy molecular orbital. One electron then goes into each of the π2 and the π3 MOs. The π2 and π3 MOs are degenerate orbitals, and according to Hund's rule, each degenerate orbital accepts one electron before any can accept a second electron. These unpaired electrons are very reactive; thus, making cyclobutadiene much more reactive than benzene, which has all of its electrons paired. Figure 17.5 shows the energy levels of cyclobutadiene. Energy * 4 Antibonding MO 2 3 1 Isolated p orbitals Bonding MO Figure 17.5. Energy diagram of the molecular orbitals of cyclobutadiene showing the distribution of electrons. 17.5 Aromaticity Sections 17.2-17.4 discuss why benzene is aromatic and why cyclobutadiene is not. This section further compares benzene with cylobutadiene to summarize the aromatic characteristics of benzene and to help you gain a better understanding of aromaticity. Here is a list of characteristics that describe aromatic compounds. To be aromatic, a compound must possess all of these characteristics: 1. An aromatic compound is cyclic and contains delocalized MOs. 2. All the π electrons must be paired. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 883 Daley & Daley 3. The atoms in the ring are usually sp2 hybridized, although in some cases they are sp hybridized. Each atom in the ring contributes an unhybridized p orbital to form the delocalized π MOs. 4. The structure of the compound is planar, or nearly planar. Because the unhybridized p orbitals bond to form a continuous ring of parallel π MOs, the ring must have a planar structure to allow the unhybridized p orbitals to effectively overlap. 5. The π electrons are delocalized over the entire ring. This delocalization lowers the energy of the molecule; therefore, the compound is aromatic and has a resonance energy. As Section 17.6 points out, this is true only for systems with 2, 6, 10, and so on in increments of four electrons in the π MOs. Benzene meets all five criteria for a continuous ring of overlapping orbitals. Thus, benzene is aromatic. The comparison of benzene’s heat of hydrogenation and the heat of hydrogenation of the hypothetical 1,3,5-cyclohexatriene shows how the delocalization of the π electrons in benzene lowers its energy level. A way to make similar comparisons for other aromatic compounds is to look at the energy level of the cyclic compound with an sp2 hybridized linear chain containing the same number of carbon atoms and the same number of π electrons. Thus, when you compare benzene with 1,3,5-hexatriene, benzene has much less energy. Lower energy More stable An antiaromatic compound is one that meet criteria 1,3,4, and 5 for aromatic compounds but has more energy than its acyclic counterpart instead of less. Higher energy Less stable Cyclobutadiene meets all of the criteria for a continuous ring of overlapping orbitals. However, as stated in Section 17.4, cyclobutadiene is very unstable. This lack of stability is due to the unpaired electrons in π2 and π3. A comparison of cyclobutadiene with its open chain counterpart, 1,3-butadiene, shows that cyclobutadiene has more energy than 1,3-butadiene. Cyclobutadiene is antiaromatic. Higher energy Less stable Lower energy More stable www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 A nonaromatic cyclic compound usually has a similar energy content to its open chain counterpart. 884 Daley & Daley A cyclic molecule that does not have a continuous ring of overlapping p orbitals is neither aromatic nor antiaromatic; it is nonaromatic. For example, 1,3-cyclohexadiene is similar in energy content to Z,Z-2,4-hexadiene. Thus, cyclohexadiene is nonaromatic. Similar energy Similar stability 17.6 Hückel's Rule N is any integer value. N=0, 1, 2, …. In 1931 the German physicist Erich Hückel carried out a series of mathematical calculations. With his calculations, he wanted to figure out what made some compounds, such as benzene, aromatic and other compounds that seemed so similar to benzene, like cyclobutadiene, antiaromatic. His goal was to devise a way of predicting whether or not a compound was aromatic. Hückel limited his work to monocyclic molecules that seemed to meet the criteria for an aromatic or an antiaromatic system. Within that group of molecules, he postulated that the number of delocalized π electrons contained in the molecule determined whether or not the molecule was aromatic. He suggested that the number of π electrons needed for aromaticity was 4N + 2 electrons. To get this number, he looked at the molecule's molecular orbital arrangement and how these MOs fill with electrons. Aromatic compounds with an even number of p atomic orbitals forming delocalized π MOs arrange their π MOs with one low energy level and one high energy level MO and pairs of degenerate MOs in between. Aromatic compounds with an odd number of p atomic orbitals forming delocalized π MOs arrange their π MOs with one low energy level and pairs of degenerate MOs above that. The MOs fill with electrons according to Hund's rule. The lower levels fill first, and when there are degenerate MOs, both MOs fill with one electron before either MO adds a second electron. The molecular orbital levels in a π MO system can be identified by quantum numbers much like the atomic orbitals in an element. Each quantum number represents a shell of orbitals. The second level shell has the 2s and three 2p atomic orbitals. These 2s and 2p atomic orbitals are a shell of orbitals. Whenever an element has all of these orbitals filled, the element is said to have a closed shell and is especially stable. Neon has filled 2s and 2p orbitals and is an especially stable and unreactive element. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 Hückel’s rule states that an aromatic compound must have 4N + 2 π electrons. The polygon rule is a graphical equivalent of Hückel’s rule that shows the relative energy level of the π electrons in a π MO. This is also called a Frost diagram. 885 Daley & Daley A compound has a closed shell when it has the lowest energy π molecular orbital filled plus 4N electrons where N is the number of filled pairs of degenerate orbitals. The total number of π electrons in a compound with a closed shell is 4N + 2 electrons. The closed shell concept for π molecular orbitals is the basis for Hückel's rule, which states that a compound must have (4N + 2) π electrons to be aromatic. A molecule with 4N + 2 of π electrons is said to have a closed shell. On the other hand, a compound with only 4N π electrons does not have a closed shell. Such a molecule has an unpaired electron in each of the highest energy occupied π MOs. Like the elements with closed shells, molecules with closed shells are very stable and unreactive. Elements with open shells are much more reactive than are those with closed shells. Benzene has a closed shell of π MOs; cyclobutadiene does not. The π MOs of benzene are very stable and unreactive; those of cyclobutadiene are unstable and very reactive. To find out how many delocalized π electrons a molecule must have to be aromatic, solve the (4N + 2) formula with N equaling an integer (0, 1, 2, 3, etc.). Hückel’s formula gives you 2, 6, 10, 14, etc. delocalized electrons. When later researchers were able to make some of these monocyclic molecules, they found a remarkable agreement with Hückel's formula. Thus, (4N + 2) became known as Hückel's rule. Hückel also found that systems with 4N π electrons are usually less stable than their open chain counterparts. In other words, planar monocyclic molecules with 4, 8, 12, etc., electrons are antiaromatic. Another way to determine whether or not a compound is aromatic is by using the polygon rule. The polygon rule quickly gives you a picture of the relative energies, and thus the relative stability, of the MOs of a conjugated monocyclic system. To use the polygon rule, draw a regular polygon with the same shape as the molecule you wish to examine. Orient your drawing with one vertex pointing toward the bottom of your paper. Then draw a horizontal line through the middle of the polygon. This line represents the energy level of the nonbonding orbitals. Figure 17.6 shows how to apply the polygon rule to benzene and cyclobutadiene. Next draw in the molecular orbitals by letting each vertex represent one π molecular orbital. Antibonding M Os Nonbonding M Os Bonding M Os Figure 17.6. A polygon is used to derive the relative energies of the electrons in benzene and cyclobutadiene. This method permits you to arrive at a similar result to the orbital methods used earlier. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 886 Daley & Daley Then, beginning with the bottom vertex as the fully bonding MO, place the electrons at each vertex of the polygon. Remember to follow Hund's rule. Figure 17.7 illustrates filling these figures with electrons. By using this method, you arrive at the same conclusion that you would by actually drawing the MOs. That is, benzene fills the lower bonding MOs with pairs of electrons and cyclobutadiene does not. These filled MOs give benzene a lower energy level than cyclobutadiene. Thus, benzene is aromatic and cyclobutadiene is antiaromatic. Figure 17.7. Filling the benzene and cyclobutadiene polygons with electrons. For a long time cyclooctatetraene was a puzzle to chemists. With a total of eight π electrons, it does not meet Hückel's rule for aromaticity, so it is not aromatic. It does meet the 4N number, and the polygon rule (Figure 17.8) shows that it does not have a closed shell, so it should be antiaromatic. Figure 17.8. Applying the polygon rule to cyclooctatetraene. Like cyclobutadiene, this molecule has two unpaired electrons. Thus, the polygon rule confirms that cyclooctatetraene should be antiaromatic. However, cyclooctatetraene does not act antiaromatic. In reactions, it behaves like an ordinary polyene. Although not nearly as stable as benzene, its stability is much greater than would be expected from an antiaromatic compound. It turns out that cyclooctatetraene is neither aromatic nor antiaromatic because it is not planar. By using X-ray techniques, chemists discovered that the bonds of cyclooctatetraene are alternately long and short with lengths of 148 and 134 pm respectively. These bond lengths give cyclooctatetraene a tub-shaped conformation. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 887 Daley & Daley The conformation of cyclooctatetraene If cyclooctatetraene were to adopt a planar configuration, it would actually lose stability rather than gain it. Thus, by taking up this tubshaped configuration, cyclooctatetraene is actually a nonaromatic compound. Exercise 17.3 Make a model of cyclooctatetraene. Estimate the angle between the adjacent π molecular orbitals. Exercise 17.4 There are three monocyclic structures with 10 π electrons. These three structures have 0, 1, and 2 trans double bonds respectively. Each fits the 4N + 2 rule. Using models, determine which are aromatic. Annulene is a proposed name for monocyclic molecules with alternating double and single bonds. Annulene is a proposed name for monocyclic molecules with alternating single and double bonds. A number placed in brackets in front of the word annulene indicates the number of atoms in the ring. Thus, benzene is [6]annulene, and cyclooctatetraene is [8]annulene. Chemists seldom use the annulene name for benzene and cyclooctatetraene, but they use the annulene name almost exclusively for the larger rings. In the 1960s, Franz Sondheimer, as well as some other chemists, produced a number of annulenes. Using these annulenes, they tested and verified Hückel's rule. They found that most of the annulenes with (4N + 2) electrons exhibited aromatic properties. However, because annulenes are free to adopt nonplanar conformations, none are antiaromatic. For example, the [14] and [18]annulenes are examples of aromatic molecules. And the [12] and [16]annulenes are examples of nonaromatic molecules. [12]Annulene (Nonaromatic) [14]Annulene (Aromatic) [16]Annulene (Nonaromatic) www.ochem4free.com [18]Annulene (Aromatic) 5 July 2005 Organic Chemistry - Ch 17 888 Daley & Daley Solved Exercise 17.1 Decide whether each of the following compounds is aromatic or nonaromatic. a) Solution Each of the two rings is aromatic with 6 π electrons in each. Thus, the compound is aromatic. b) CH2CH3 Solution 1,3,5-Cycloheptatriene has a total of six π electrons, but it is not aromatic. Every atom in the ring does not contribute to the cyclic π molecular orbital. The π molecular orbital is not continuous but is interrupted by the sp3 hybridized carbon atom bearing the ethyl group. c) Solution This structure of [14]annulene has 14 π electrons, but it is not aromatic because the ring is not planar. The hydrogens shown below would interfere with each other if the molecule were planar. HH HH Exercise 17.5 Classify each of the following compounds as aromatic, nonaromatic, or antiaromatic. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 889 a) b) c) d) Daley & Daley Sample solution a) This molecule is a [14]annulene, but the molecule is not planar because of interference between the hydrogens. As a result, this [14]annulene is nonaromatic. H H H H If planar, these hydrogens would be trying to occupy the same space. 17.7 Aromatic Ions The resonance energy gained by an aromatic molecule is large enough such that anytime a molecule can reasonably obtain (4N + 2) electrons and become aromatic, it will. A number of cyclic species that bear a positive or negative charge exhibit unusual stability that suggests they are aromatic. These ions meet Hückel's rule, further indicating that they are aromatic. This section describes the two most common aromatic ions: the anion of cyclopentadiene and the cation of cycloheptatriene. Cyclopentadiene is unusually acidic for a hydrocarbon. Its pKa is 16.6 (comparable to water and alcohols) in contrast to a pKa of 46 for cyclopentane. Because of its relatively high acidity, cyclopentadiene readily converts to its anion when treated with a moderately strong base. The NMR of the cyclopentadienyl anion shows a singlet indicating that all five hydrogens are equivalent. From the www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 890 Daley & Daley equivalency of the hydrogens, you can assume that all five carbons are also equivalent. OC(CH3)3 •• H H H Cyclopentadiene Cyclopentadienyl anion Cyclopentadiene is not aromatic. It does not have the proper number of π electrons. Plus, the π electrons that it does have are not delocalized around the entire ring. The sp3 hybridized carbon of the CH2 group has no available p orbital; thus, it blocks the cyclic electron delocalization. However, when cyclopentadiene reacts with a moderately strong base, the CH2 carbon atom loses one proton and becomes sp2 hybridized. The loss of the proton produces a new p orbital occupied by the two remaining electrons. The new p orbital then overlaps with the p orbitals on either side of it. This overlap produces a ring with six delocalized π electrons. The negative charge is distributed equally over the five carbon atoms in the ring. Because the electrons are delocalized, all the hydrogens, and thus all the carbons, are equivalent as indicated by a singlet in the NMR spectrum. -H - Because of the unusual stability of the cyclopentadienyl anion, and because these six π electrons meet the criteria for Hückel's rule, the cyclopentadienyl anion is considered to be an aromatic ion. The polygon rule, illustrated for the cyclopentadieneyl anion in Figure 17.9, shows that the filled MOs are below the energy level of the isolated p atomic orbitals. Isolated p orbitals. Figure 17.9. The polygon rule applied to the cyclopentadienyl anion. The occupied π MOs are below the energy level of the isolated p orbitals. The unusually high acidity of cyclopentadiene occurs because the anion is aromatic and has a resonance energy estimated to be about 23 kcal/mole. This idea relates back to Chapter 5, where, as you www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 891 Daley & Daley may recall, an acid's strength is proportional to the stability of its conjugated base. Figure 17.10 shows the formation of the π orbitals of the cyclopentadienyl anion. H –H H H Figure 17.10. The π orbital picture for the conversion of cyclopentadiene to the cyclopentadienyl anion. Exercise 17.6 a) Using the polygon rule, explain the basis for the aromaticity of the cyclopentadienyl anion. b) Using the polygon rule, would you expect the cyclopentadienyl cation to be aromatic? Would you expect it to be aromatic based on Hückel's rule? Cycloheptatriene, sometimes called tropylidene, is another example compound that readily reacts to obtain (4N + 2) electrons to become an aromatic cation. Cycloheptatriene has six π electrons, but they are not fully delocalized over the entire ring because the CH2 group lacks a p orbital available to form a cyclic π MO. When treated with a reagent that abstracts a hydride ion, cycloheptatriene converts to the cycloheptatrienyl (or tropylium) cation. The cycloheptatrienyl cation has an empty p orbital on the former CH2 group and that p orbital then overlaps with the remaining π orbitals of the ring to give rise to a ring with six delocalized π electrons. Because the electrons are delocalized, a singlet in the NMR spectrum shows that all seven hydrogen atoms are equivalent. If all seven hydrogen atoms are equivalent, then all seven carbons are also equivalent with the positive charge distributed equally over the seven carbon atoms. –H + The six π electrons in the cycloheptatrienyl cation allow the cation to meet the criteria for Hückel's rule. Thus, the cycloheptatrienyl cation is an aromatic ion. Figure 17.11 shows the polygon rule for the cation. Cycloheptatriene readily loses a hydride www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 892 Daley & Daley because of the resulting cation's aromaticity and a resonance energy estimated at 19 kcal/mol. Figure 17.12 shows the formation of the π orbitals of the cycloheptatrienyl cation. Isolated p orbitals. Figure 17.11. The polygon rule applied to the cycloheptatrienyl cation. The π MOs are all lower in energy than the isolated p orbitals. H –H H H Figure 17.12. The π orbital picture of the conversion of cycloheptatriene to the cycloheptatrienyl cation. Exercise 17.7 The following hydrocarbon has an unusually large dipole moment. Explain how this dipole moment might arise. 17.8 Naming Benzene Derivatives The various derivatives of benzene all have different names— many of which do not readily indicate their functional groups. For example, benzene with an amine group attached is called aniline, and benzene with a methyl group attached is called toluene. Table 17.1 lists the names of some common aromatic compounds. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 Structure 893 Daley & Daley Name Structure Name COOH NH2 Benzoic Acid Aniline COOCH3 CN Methyl benzoate Benzonitrile CH CONH2 CH2 Benzamide Styrene CHO CH3 Benzaldehyde Toluene CH3 O CCH3 o-Xylene Acetophenone CH3 CH3 OH CH3 Phenol Mesitylene CH3 OCH3 Anisole Table 17.1. Names of some simple aromatic compounds. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 Note that for disubstituted benzene rings the terms, ortho-, meta-, and para(abbreviated as o-, m-, and p-) are often used instead of 1,2-, 1,3-, and 1,4- numbering See Section 9.5, page 000. 894 Daley & Daley The names in Table 17.1 are listed in priority sequence. For example, an aromatic ring with an —OCH3 group is called an anisole. However, when an aromatic ring contains both an —OCH3 group and an —OH group, the —OCH3 group is called methoxy substituent because —OH has a higher priority than the —OCH3 group. The anisole name is used with lower priority substituents such as —CN or –CH3 groups. OCH3 HO OCH3 NC 4-Methoxyphenol (p-Methoxyphenol) 4-Cyanoanisole (p-Cyanoanisole) When two or more substituents are present on a benzene ring, follow these steps to name the compound: Step 1 Number the substituents to give them the lowest possible numbers. Step 2 If two or more of the substituents are the same, use the di-, tri-, tetra-, etc., prefixes. Step 3 List the different substituents in alphabetical order. COOH Cl NH2 Br Cl 3,4-Dichlorobenzoic acid (not 4,5-dichlorobenzoic acid) CH3 4-Bromo-2-methylaniline (not 2-methyl-4-bromoaniline) When a benzene ring is the substituent, use the phenyl group name. When benzene is attached to a hydrocarbon chain, follow these steps: Step 1 Determine the parent name of the molecule based on the larger structural unit. Name the molecule either as an alkyl benzene or a phenylalkane. Step 2 For unsaturated hydrocarbon groups, name the compound as a phenylalkene. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 895 Daley & Daley CH2CH2CH3 CH2CH2CH2CH3 Butylbenzene CHCH2CH2CH3 4-Phenylheptane CH3C CHCH3 2-Phenyl-2-butene Solved Exercise 17.2 Name the following using IUPAC nomenclature rules. a) O OH H2N Solution This molecule has both an carboxylic acid and an amine group. According to Table 17.1, the carboxylic acid group has a higher priority than the amine. Thus, the compound is a benzoic acid. The IUPAC name is 4-aminobenzoic acid, but the compound is frequently called p-aminobenzoic acid. You might recognize it as the compound called PABA on the labels of make-up and sunscreen products. b) Br Solution www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 896 Daley & Daley This molecule has a bromine and a vinyl group. There is no special name for a halobenzene, so the molecule is a styrene. The name is 3-bromostyrene or m-bromostyrene. c) O OH OCH3 O Solution This molecule has an ester and a carboxylic acid. According to Table 17.1, the carboxylic acid has a higher priority. The IUPAC name for this compound is 2-carbomethoxybenzoic acid. An ortho-dicarboxylic acid is called phthalic acid so most chemists would call this compound methyl phthalate. Exercise 17.8 Name the following compounds using IUPAC nomenclature rules. a) b) COOH Br NH2 NO2 OH c) d) CH2 CH CH2CH3 CH2CH3 e) f) COOH CH3O OCH3 CCH3 NC O Sample Solution www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 897 Daley & Daley b) 2-Amino-3-bromophenol 17.9 Heterocyclic Aromatic Compounds A heterocyclic compound contains a ring with one or more heteroatoms replacing carbons in the ring. A heterocyclic aromatic compound is an aromatic compound with one or more heteroatoms replacing carbons in the ring. So far, this book has covered only those aromatic compounds in which the ring consists entirely of sp2 hybridized carbon atoms. In many cyclic compounds, however, some other element replaces one or more of the carbon atoms. These compounds are called heterocyclic compounds. The elements that most frequently replace carbon in heterocyclic compounds are nitrogen, sulfur, and oxygen. Chemists usually illustrate heterocyclic aromatic compounds with their Kekulé structures. Pyridine, pyrrole, furan, and thiophene are examples of heterocyclic aromatic compounds: N •• Pyridine •• N H •• •• •• •• O Pyrrole S Furan Thiophene Pyridine has the same electronic structure as benzene. Pyrrole, furan, and thiophene share the same electronic structure as the cyclopentadienyl anion. A strong indicator of pyridine’s aromaticity is its resonance energy of 27 kcal/mole, an amount only slightly lower than benzene’s resonance energy. The π molecular orbitals of pyridine also contain six electrons, thus meeting Hückel's (4N + 2) rule for π electrons. Pyridine gains its aromaticity without involving the nonbonding electrons belonging to the nitrogen. These nonbonding electrons are in an sp2 orbital in the plane of the ring. Being sp2 hybridized and in the plane of the ring means that this orbital does not overlap with the π molecular orbitals of the ring. Figure 17.13 shows the orbital picture of pyridine. sp2 hybrid orbital N • • Figure 17.13. The orbital structure of pyridine. The nonbonding electron pair in the sp2 orbital of the nitrogen is not involved in the π MO of the ring. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 898 Daley & Daley In pyrrole, the two nonbonding electrons on the nitrogen are in a p atomic orbital. That p orbital overlaps with the π orbitals of the two adjacent double bonds to complete the circle of π bonds and allows these two electrons to delocalize over the entire circle of π bonds. With the addition of these two electrons, the continuous ring of π molecular orbitals contains six electrons and meets Hückel's rule. Pyrrole has a resonance energy of 22 kcal/mole. Figure 17.14 shows the π orbital structure of pyrrole. Unhybridized p orbital •• N H Figure 17.14. The orbital structure of pyrrole. The nonbonding electrons in the unhybridized p orbital of nitrogen are involved in the π MO of the ring. By now you may wonder why some molecules use the nonbonding electrons on the heteroatoms in the ring of π bonds and others do not. They follow this simple rule: if a molecule can use a pair of nonbonding electrons to become aromatic, it will. Compounds will be aromatic if it is possible for them to be so because of the resonance energy gained by being aromatic. Exercise 17.9 Is pyridine a stronger or weaker base than pyrrole? Explain. Furan and thiophene have identical structures, except that the heteroatom in furan is oxygen and the heteroatom in thiophene is sulfur. Their structures are similar to pyrrole in that both have a pair of nonbonding electrons in a p orbital. Figure 17.15 shows the orbital structure of furan. To be aromatic, the p orbital with the nonbonding electrons overlaps with the adjacent double bonds to form the aromatic π molecular orbitals. Furan's resonance energy is 16 kcal/mole, and thiophene's is 29 kcal/mole. The difference in their resonance energies is because the sulfur atom in thiophene uses an unhybridized 3p orbital to overlap with the π orbitals from the adjacent carbon atoms. Because 3p orbitals are larger than 2p orbitals, the electrons in the 3p orbital of sulfur are closer to the π orbitals of the carbon than are the electrons in the 2p orbital of oxygen. Being closer together results in a more effective orbital overlap. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 899 Daley & Daley Unhybridized p orbital •• O • • Nonbonding sp2 orbital Figure 17.15. The orbital structure of furan. The structure of thiophene is very similar to furan except that it contains a sulfur atom instead of the oxygen. Exercise 17.10 Determine whether the following species are aromatic, nonaromatic, or antiaromatic. a) c) b) •• •• N S •• •• S •• O •• •• d) f) e) B •• N H B Sample solution b) This compound is aromatic. Its structure is similar to the structure of thiophene in that one pair of nonbonding electrons from the sulfur is involved in the aromaticity. Sulfur's other pair of electrons and the nonbonding electrons on nitrogen are not involved in the aromaticity. 17.10 Polynuclear Aromatic Hydrocarbons Polynuclear aromatic hydrocarbons contain two or more aromatic rings each sharing a pair of adjacent carbon atoms between pairs of rings. Polynuclear aromatic hydrocarbons (PAHs) are compounds that contain two or more fused aromatic rings. A molecule with fused aromatic rings contains two or more benzene rings that share two carbon atoms between them. Naphthalene is an example of a fused aromatic compound. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 900 Fused aromatic rings share two adjacent carbon atoms between two aromatic rings. Daley & Daley Naphthalene Naphthalene consists of two aromatic rings with a total of 10 π electrons. The p orbitals of the naphthalene carbons overlap around the periphery of the two rings and, to a lesser extent, across the points of the ring fusion. Naphthalene's resonance energy of 61 kcal/mole is a strong indicator that the delocalization of the electrons around the two rings produces an aromatic system. Figure 17.16 shows the orbital structure of naphthalene. Figure 17.16. The orbital structure of naphthalene. See page 000 for a structure of [14]annulene. A large number of fused benzene ring PAHs are aromatic. Pyrene, for example, is tetracyclic. Although pyrene is aromatic, its Kekulé structure, shown below, has a total of 16 π electrons. This number does not meet Hückel's rule but, as you may recall, Hückel's rule applies only to monocyclic compounds. However, if you ignore the internal double bond and examine only the structure of the 14 electrons on the periphery, pyrene looks similar to [14]annulene. And fourteen is a Hückel number. As expected, the internal double bond reacts much like an ordinary double bond and undergoes addition reactions. On the other hand, the π bonds on the periphery undergo substitution reactions like any other aromatic ring. This double bond is not a part of the delocalized resonance Pyrene www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 A carcinogen is a compound that causes some form of cancer. 901 Daley & Daley Some PAHs are among the most carcinogenic of compounds known. Pyrene is a very potent carcinogen. Another carcinogen is benz[a]pyrene. Over two hundred years ago, physicians made the earliest association of a specific type of cancer with a specific carcinogenic agent. Many chimney sweeps developed scrotal cancer, and they recognized that something in the soot and tars from the chimneys they cleaned caused it. Chemists now know that the carcinogenic agent found in chimney soot and tar is benz[a]pyrene. Benz[a]pyrene The safety rules for researchers working with benz[a]pyrene require that the researchers install special containment facilities in their laboratory and that they follow specific types of procedures to protect themselves from the carcinogenic dangers of benz[a]pyrene. Yet, along with several other related carcinogenic compounds, cigarette smoke contains benz[a]pyrene. Smokers routinely expose their lung tissue to higher concentrations of benz[a]pyrene than the law permits for laboratory workers. 17.11 The Benzyl Group The benzyl group is a benzene ring with a CH2 group attached. See Section 16.2, page 000 for more on the allylic carbocation. The benzyl group is a benzene ring with a —CH2 group attached. A benzyl carbocation has a positive charge on the —CH2 carbon. The benzylic carbocation is quite similar to the allylic carbocation in that both have an empty p orbital that can overlap with the π MOs of an unsaturated system. CH2 The benzyl carbocation Both benzylic and allylic halides readily undergo nucleophilic substitution. Primary and secondary benzylic and allylic halides undergo substitution via an SN1 mechanism in a polar solvent. They follow this mechanism because they are highly resonance-stabilized. Following are resonance structures for the benzylic carbocation. Note www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 902 Daley & Daley that the benzylic resonance stabilization is quite similar to the resonance stabilization for the allylic cation shown in Chapter 16. CH2 CH2 CH2 CH2 The resonance contributors for the benzylic carbocation. Although there are four resonance contributors for the benzylic carbocation, reaction only occurs at the CH2 group. Reaction at any other positively charged carbon atom would lead to a nonaromatic product and higher energy than reaction at the CH2 group. Thus, the carbons in the ring do not react. Figure 17.17 shows the MO picture of the benzylic carbocation. As you may recall, the structure for a carbocation is planar with an empty p orbital perpendicular to the plane of the sp2 carbon. This p orbital overlaps with the π MO allowing electron density from the π MO to be shared with the empty p orbital. This sharing of electron density greatly increases the stability of the carbocation. CH2 Figure 17.17. The molecular orbital picture of the benzylic carbocation. Exercise 17.11 The following chlorides undergo solvolysis at the relative rates shown below the formulas. Explain these results. C6H5CH2Cl 1 C6H5CHClCH3 12.5 (C6H5)2CHCl 3750 (C6H5)3CCl 3.8 x 107 Key Ideas from Chapter 17 ❏ Benzene is an unusual compound with a carbon to hydrogen ratio of 1:1 and an extraordinary stability considering the large number of units of unsaturation that it possesses. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 903 Daley & Daley ❏ The unusual stability of benzene results from the conjugation of the double bonds around the six-membered ring. This type of conjugation is called aromaticity. ❏ Each carbon in the benzene ring has an unhybridized p orbital, and each of these p orbitals overlaps the p orbitals on the carbon atoms adjacent to it. The continuous overlapping of p orbitals forms a π molecular orbital system that encompasses the entire ring. ❏ The π MO system for benzene actually contains six individual molecular orbitals. Three of these MOs are filled, bonding MOs. The remaining three are empty, antibonding MOs. ❏ Benzene has two pairs of degenerate orbitals. Degenerate orbitals are a pair of orbitals that have exactly the same energy. In benzene, the HOMOs are one pair of degenerate orbitals, and the LUMOs are the other pair. ❏ Aromaticity requires a cyclic structure in which every atom is either sp or sp2 hybridized and contributes a p orbital to the π MO. The structure of the ring must be planar to maximize the overlap of the p orbitals. It must also have (4N + 2) π electrons included in its π MOs. Aromaticity increases the stability of the molecule compared to a nonaromatic compound. ❏ A nonaromatic compound does not contain a continuous ring of p orbitals and/or the ring does not adopt a planar conformation. ❏ An antiaromatic compound has 4N electrons in a cyclic delocalized MO. Antiaromatic compounds are less stable than aromatic and nonaromatic compounds. ❏ Hückel's rule is a statement of the number of electrons found in the π molecular orbitals of a cyclic conjugated system. If they contain (4N + 2) electrons and if the ring is planar, the compound is aromatic. If they have 4N electrons and if the ring is planar, the compound is antiaromatic. Nonplanar cyclic compounds are usually nonaromatic regardless of the number of electrons in the π molecular orbitals. ❏ The polygon rule is a graphical version of Hückel's rule. It can be used to determine whether a compound might be aromatic or antiaromatic. www.ochem4free.com 5 July 2005 Organic Chemistry - Ch 17 904 Daley & Daley ❏ Use the name annulene to describe cyclic compounds with alternating single and double bonds. In this system, another name for benzene is [6]annulene. ❏ Aromaticity increases the stability of a molecule to such an extent that when a compound can either add or subtract electrons to become aromatic, it will do so. These ions are called aromatic ions. ❏ A cyclic compound that contains one or more noncarbon atoms in the ring is called a heterocyclic compound. Depending on the structure of the orbitals, the nonbonding electrons may, or may not, be available to complete Hückel's rule to form an aromatic compound. ❏ Polynuclear aromatic hydrocarbons contain two or more fused benzene rings. When benzene rings are fused, each pair of benzene rings shares two carbons. ❏ A carbocation on a carbon attached to a benzene ring is called a benzylic carbocation. Benzylic carbocations are resonancestabilized by the benzene ring similar to the way an allylic carbocations are resonance-stabilized. www.ochem4free.com 5 July 2005