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CONFIRMING PAGES
10RADICAL REACTIONS
SOLUTIONS TO PROBLEMS
10.1 (a) H H
(DH° = 436)
2 H F
2(DH° = 570)
F F
(DH° = 159)
+
+595 kJ mol−1
is required forbond cleavage
−1140 kJ mol−1
is evolved information of thebonds in 2 mol
of HF�H ◦ = +595 − 1140
= −545 kJ mol−1
(b) CH3 H CH3 F
(DH° = 440) (DH° = 461)
F F
(DH° = 159)
+ H F
(DH° = 570)
+
+599 kJ mol−1
is required forbond cleavage
−1031 kJ mol−1
is evolved inbond formation
�H ◦ = +599 − 1031
= −432 kJ mol−1
(c) CH3 H CH3 Cl
(DH° = 440) (DH° = 352)
Cl Cl
(DH° = 243)
+ H Cl
(DH° = 432)
+
+683 kJ mol−1
is required forbond cleavage
−784 kJ mol−1
is evolved inbond formation
�H ◦ = +683 − 784
= −101 kJ mol−1
(d) CH3 H CH3 Br
(DH° = 440) (DH° = 293)
Br Br
(DH° = 193)
+ H Br
(DH° = 366)
+
+633 kJ mol−1
is required forbond cleavage
−659 kJ mol−1
is evolved inbond formation
�H ◦ = +633 − 659
= −26 kJ mol−1
182
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RADICAL REACTIONS 183
(e) CH3 H
(DH° = 440)
CH3 I
(DH° = 240)
I I
(DH° = 151)
+ H I
(DH° = 298)
+
+591 kJ mol−1
is required forbond cleavage
−538 kJ mol−1
is evolved inbond formation
�H ◦ = +591 − 538
= +53 kJ mol−1
(f) CH3CH2 H
(DH° = 421)
CH3CH2 Cl
(DH° = 353)
Cl Cl
(DH° = 243)
+ H Cl
(DH° = 432)
+
+664 kJ mol−1
is required forbond cleavage
−785 kJ mol−1
is evolved inbond formation
�H ◦ = +664 − 785
= −121 kJ mol−1
(g)
Cl
Cl Cl
(DH°= 243)
(DH°= 413) (DH°= 355)
+ H Cl
(DH° = 432)
+
H
+656 kJ mol−1
is required forbond cleavage
−787 kJ mol−1
is evolved inbond formation
�H ◦ = +656 − 787
= −131 kJ mol−1
(h) ClClH
(DH° = 349)
Cl ClH
(DH° = 243)(DH° = 400)(DH° = 432)
+ +
+643 kJ mol−1
is required forbond cleavage
−781 kJ mol−1
is evolved inbond formation
�H ◦ = +643 − 781
= −138 kJ mol−1
10.2
3° 2° 1° Methyl
> > CH3>
> > >
10.3 The compounds all have different boiling points. They could, therefore, be separated bycareful fractional distillation. Or, because the compounds have different vapor pressures,they could easily be separated by gas chromatography. GC/MS (gas chromatography/massspectrometry) could be used to separate the compounds as well as provide structural infor-mation from their mass spectra.
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184 RADICAL REACTIONS
10.4 Their mass spectra would show contributions from the naturally occurring 35Cl and 37Clisotopes. The natural abundance of 35Cl is approximately 75% and that of 37Cl is ap-proximately 25%. Thus, for CH3C1, containing only one chlorine atom, there will bean M .+ peak and an M .++2 peak in roughly a 3 : 1 (0.75 : 0.25) ratio of intensities. ForCH2Cl2 there will be M .+, M .++2, and M .++4 peaks in roughly a 9 : 6 : 1 ratio, respectively.[The probability of a molecular ion M .+ with both chlorine atoms as 35Cl is (.75)(.75) =.56, the probability of an M .++2 ion from one 35Cl and one 37Cl is 2(.75)(.25) = .38,and the probability of an M .++4 ion peak from both chlorine atoms as 37Cl is(.25)(.25) = 0.06; thus, their ratio is 9 : 6 : 1.] For CHCl3 there will be M .+, M .++2,and M .++4, and M .++6 peaks in approximately a 27 : 27 : 9 : 1 ratio, respectively (basedon a calculation by the same method). (This calculation does not take into account thecontribution of 13C, 2H, and other isotopes, but these are much less abundant.)
10.5 The use of a large excess of chlorine allows all of the chlorinated methanes (CH3Cl, CH2Cl2,and CHCl3) to react further with chlorine.
10.6 Chain Initiation
F F
(DH° = 159)
+159 kJ mol−12 FStep 1 ΔH° =
Chain Propagation
CH3 CH3H FH
(DH° = 440) (DH° = 570)
−130 kJ mol−1FStep 2 ΔH° =+ +
CH3 F
(DH° = 159) (DH° = 461)
−302 kJ mol−1FStep 3 ΔH° =+CH3 FF+
Chain Termination
(DH° = 461)
−461 kJ mol−1CH3 F ΔH° =+ CH3 F
(DH° = 159)
−159 kJ mol−1FF ΔH° =+ F F
(DH° = 378)
−378 kJ mol−1CH3 CH3 ΔH° =+ CH3 CH3
10.7 FH −130 kJ mol−1CH3F ΔH° =+ +CH3 H
FH −432 kJ mol−1ΔH° =+ +CH3 H
FF
FF
−302 kJ mol−1CH3 F ΔH° =+ +CH3 F
CH3 F
10.8 (a) Reactions (3), (5), and (6) should have Eact = 0 because these are gas-phase reactionsin which small radicals combine to form molecules.
(b) Reactions (1), (2), and (4) should have Eact > 0 because in them covalent bonds arebroken.
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RADICAL REACTIONS 185
(c) Reactions (1) and (2) should have Eact = �H ◦ because in them bonds are brokenhomolytically but no bonds are formed.
10.9 (a)
ΔH° = −130 kJ mol−1
Eact = +5.0 kJ mol−1
F H CH3
CH4
δ δ
F +
CH3 HF
Step 2
PE
Reaction coordinate
+
ΔH° = −302 kJ mol−1
Eact = +1.0 kJ mol−1
F2
FFCH3δ δ
+
CH3F
CH3
FStep 3
PE
Reaction coordinate
+
(b)
FF
ΔH° = Eact = +159 kJ mol−1
2 F
PE
Reaction coordinate
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186 RADICAL REACTIONS
FCH3
ΔH° = −461 kJ mol−1
Eact = 0
PE
Reaction coordinate
F+CH3
(c) Notice that this is the reverse of Step (2) in part (a)
ΔH° = +130 kJ mol−1
Eact = +135 kJ mol−1
FH+CH3
PE
Reaction coordinate
HCH3 F+
10.10 (a)
(DH° = 421) (DH° = 432)
Cl+CH3CH2 CH3CH2H + ClH
�H ◦ = −432 + 421 = −11 kJ mol−1
ΔH° = −11 kJ mol−1
Eact = +4.2 kJ mol−1
Cl H CH2CH3
Cl
δ δ
CH3CH3 +PE
Reaction coordinate
Transitionstate
ClHCH3CH2 +
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RADICAL REACTIONS 187
(b) The hydrogen abstraction step for ethane,
HCl (Eact = 4.2 kJ mol−1)Cl+ +CH3CH2 CH3CH2H
has a much lower energy of activation than the corresponding step for methane:
HCl (Eact = 16 kJ mol−1)Cl+ +CH3 CH3H
Therefore, ethyl radicals form much more rapidly in the mixture than methyl radicals,and this leads to the more rapid formation of ethyl chloride.
10.11hv
or heatCl2 2 Cl
H
Cl
ClCl + +Step 2a
HCl Cl+ +Step 2b
Cl
1,1-dichloroethane
Cl
ClCl
+ +Step 3a
1,2-dichloroethane
Cl++Step 3b
H
Cl Cl
Cl
Cl
ClH
ClCl
Cl
Cl
Cl
10.12 (a) There is a total of eight hydrogen atoms in propane. There are six equivalent 1◦ hydrogenatoms, replacement of any one of which leads to propyl chloride, and there are twoequivalent 2◦ hydrogen atoms, replacement of any one of which leads to isopropylchloride.
Cl2+ +Cl
Cl
If all the hydrogen atoms were equally reactive, we would expect to obtain 75% propylchloride and 25% isopropyl chloride:
% Propyl chloride = 6/8 × 100 = 75%
% Isopropyl chloride = 2/8 × 100 = 25%
(b) Reasoning in the same way as in part (a), we would expect 90% isobutyl chloride and10% tert-butyl chloride, if the hydrogen atoms were equally reactive.
Cl2+ +Cl
Cl
% Isobutyl chloride = 9/10 × 100 = 90%
% tert-Butyl chloride = 1/10 × 100 = 10%
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188 RADICAL REACTIONS
(c) In the case of propane (see Section 10.6), we actually get more than twice as muchisopropyl chloride (55%) than we would expect if the 1◦ and 2◦ hydrogen atoms wereequally reactive (25%). Clearly, then, 2◦ hydrogen atoms are more than twice as reactiveas 1◦ hydrogen atoms.
In the case of isobutane, we get almost four times as much tert-butyl chloride(37%) as we would get (10%) if the 1◦ and 3◦ hydrogen atoms were equally reactive.The order of reactivity of the hydrogens then must be
3◦ > 2◦ > 1◦
10.13 The hydrogen atoms of these molecules are all equivalent. Replacing any one of them yieldsthe same product.
Cl2 (+ more highly chlorinated products)
Cl
+
Cl2 (+ more highly chlorinated products)
Cl
+
hv
hv
We can minimize the amounts of more highly chlorinated products formed by using alarge excess of the cyclopropane or cyclobutane. (And we can recover the unreactedcyclopropane or cyclobutane after the reaction is over.)
10.14 (a) (b)
10.15 (a)Cl2
light+
(S )-2-Chloropentane (2S,4S )-2,4-Dichloro-pentane
(2R,4S )-2,4-Dichloro-pentane
Cl ClCl ClCl
(b) They are diastereomers. (They are stereoisomers, but they are not mirror images of eachother.)
(c) No, (2R,4S)-2,4-dichloropentane is achiral because it is a meso compound. (It has aplane of symmetry passing through C3.)
(d) No, the achiral meso compound would not be optically active.
(e) Yes, by fractional distillation or by gas chromatography. (Diastereomers have dif-ferent physical properties. Therefore, the two isomers would have different vaporpressures.)
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RADICAL REACTIONS 189
(f and g) In addition to the (2S,4S)-2,4-dichloropentane and (2R,4S)-2,4-dichloropentaneisomers described previously, we would also get (2S,3S)-2,3-dichloropentane, (2S,3R)-2,3-dichloropentane and the following:
++
(optically active) (optically inactive) (optically active)
Cl
Cl
Cl
Cl
Cl Cl
10.16 (a) The only fractions that would contain chiral molecules (as enantiomers) would bethose containing 1-chloro-2-methylbutane and the two diastereomers of 2-chloro-3-methylbutane. These fractions would not show optical activity, however, because theywould contain racemic forms of the enantiomers.
(b) Yes, the fractions containing 1-chloro-2-methylbutane and the two containing the2-chloro-3-methylbutane diastereomers.
(c) Yes, each fraction from the distillation could be identified on the basis of 1H NMRspectroscopy. The signals related to the carbons where the chlorine atom is bondedwould be sufficient to distinguish them. The protons at C1 of 1-chloro-2-methylbutanewould be a doublet due to splitting from the single hydrogen at C2. There would be noproton signal for C2 of 2-chloro-2-methylbutane since there are no hydrogens bondedat C2 in this compound; however there would be a strong singlet for the six hydrogens ofthe geminal methyl groups. The proton signal at C2 of 2-chloro-3-methylbutane wouldapproximately be a quintet, due to combined splitting from the three hydrogens at C1and the single hydrogen at C3. The protons at C1 of 1-chloro-3-methylbutane would bea triplet due to splitting by the two hydrogens at C2.
10.17 Head-to-tail polymerization leads to a more stable radical on the growing polymer chain. Inhead-to-tail coupling, the radical is 2◦ (actually 2◦ benzylic, and as we shall see in Section15.12A this makes it even more stable). In head-to-head coupling, the radical is 1◦.
10.18 (a)
n( (
R
(frominitiator)
Monomer
OCH3
OCH3OCH3 OCH3
OCH3 OCH3 OCH3
OCH3 OCH3
+OCH3
OCH3 OCH3R R
R
OCH3
repetition
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190 RADICAL REACTIONS
(b)
n( (
R
(frominitiator)
Monomer
Cl
Cl
+ Cl
Cl
Cl
Cl
Cl
Cl
R
Cl Cl
Cl Cl Cl Cl
Cl Cl Cl Cl Cl Cl
Cl Cl ClCl
Cl ClR
R
repetition
10.19 In the cationic polymerization of isobutylene (see text), the growing polymer chain has astable 3◦ carbocation at the end. In the cationic polymerization of ethene, for example, theintermediates would be much less stable 1◦ cations.
H
H
1∞ Carbocation
H
H
A H CH3CH2etc.
H
H
H
H
+ + +
With vinyl chloride and acrylonitrile, the cations at the end of the growing chain would bedestabilized by electron-withdrawing groups.
Cl etc.++A H
Cl
+Cl
Cl
Cl
CN etc.++A H
CN
+CN
CN
CN
Radical Mechanisms and Properties
10.20 (1) Br2 2 Brhv
(2) Br HBr+ +
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RADICAL REACTIONS 191
(3)
Br2
BrBr++
then 2,3 2,3 etc.
10.21 For formation of
Br
, the rate-determining step is:
H
H
BrA� A
�
Br
δ
δ+
For formation of Br, the rate-determining step is:
H
H
Br
B� B
�
Br + δ
δ
Eact
Eact
P.E.
Reaction coordinate
Br+
B HBr+
A HBr+
B�
A�
A· is a 3◦ alkyl radical and more stable than B·, a 1◦ alkyl radical, a difference anticipatedby the relative energies of the transition states.
As indicated by the potential energy diagram, the activation energy for the formation ofA|–– is less than that for the formation of B |––. The lower energy of A|–– means that a greater
fraction of bromine atom-alkane collisions will lead to A· rather than to B·.Note there is a statistical advantage to the formation of B· (6:1) but this is outweighed
by the inherently greater reactivity of a 3◦ hydrogen.
10.22Cl
and I are the only monosubstitution products which can be formed from
cyclopentane and ethane, respectively. (However, direct iodination of alkane is not a feasiblereaction, practically speaking.)
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192 RADICAL REACTIONS
Br
and
Br
would be formed in amounts much larger than the isomeric alterna-
tives due to the highly selective nature of bromine.
Formation of and
Br
Cl
would be acompanied by considerable
amounts of isomeric byproducts in each case.
10.23 Chain-Initiating Step
Cl2heat, hv
light2 Cl
Chain-Propagating Steps
Cl
Cl2
Cl2 +
+ HCl
+ HCl Cl
+ Cl
Cl
Cl
10.24 (a) Three
+ +
I II III
Cl2
Enantiomers as aracemic form
ClCl H ClH
(b) Only two: one fraction containing I, and another fraction containing the enantiomersII and III as a racemic form. (The enantiomers, having the same boiling points, woulddistill in the same fraction.)
(c) Both of them.
(d) The fraction containing the enantiomers.
(e) In the 1H spectrum for 1-chlorobutane the signal furthest downfield would be thatfor CH2C1; it would be a triplet. The corresponding signal for CHC
Cl
in either
enantiomer of 2-chlorobutane (also furthest downfield) would be an approximate sextet.
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RADICAL REACTIONS 193
The DEPT spectra for 1-chlorobutane would identify one CH3 group and three CH2
groups; for 2-chlorobutane, two (non equivalent) CH3 groups, one CH2 group, and oneCH group would be specified.
(f) Molecular ions from both 1-chlorobutane and the 2-chlorobutane enantiomers wouldbe present (but probably of different intensities). M .+ +2 peaks would also be present.Both compounds would likely undergo C Cl bond cleavage to yield C4H9
+ cations.The mass spectrum of 1-chlorobutane would probably show loss of a propyl radical byC C bond cleavage adjacent to the chlorine, resulting in an m/z 49 peak for CH2Cl+
(and m/z 51 from 37C1). Similar fragmentation in 2-chlorobutane would produce an m/z63 peak for CH3CHCl+ (and m/z 65).
10.25 (a) Five
Cl2
(R)-2-Chlorobutane
+ + +
+
A B C D
H Cl HClH Cl H ClH Cl H Cl
E
H Cl
Cl
Cl Cl
Cl
(b) Five. None of the fractions would be a racemic form.
(c) The fractions containing A, D, and E. The fractions containing B and C would beoptically inactive. (B contains no chirality center and C is a meso compound.)
10.26 (a) Oxygen-oxygen bonds are especially weak, that is,
DH° = 214 kJ mol−1HO OH
DH° = 184 kJ mol−1
O OCH3
This means that a peroxide will dissociate into radicals at a relatively low temperature.
RO OR100-200°C
2 RO
Oxygen-hydrogen single bonds, on the other hand, are very strong. (For HO H,DH ◦ = 499 kJ mol−1.) This means that reactions like the following will be highlyexothermic.
RO R+ +R H RO H
(b)Chain
Initiation
2Step 1
Cl Cl Cl
R
R
R
+ +
+ +
heat
Step 2
ChainPropagation
Step 3
+ +ClStep 4
R H
R H
R Cl
H Cl
O
O OH
O O
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194 RADICAL REACTIONS
10.27
(3°)
>
(2°)
>
(1°) (1°)
∼
10.28 R CH3 bond dissociation to form a primary radical:
BDE[CH3CH2CH2CH2 CH3] = 80.9 + 147 − (−146.8) = 375 kJ/mol
R CH3 bond dissociation to form a secondary radical:
BDE[CH3CH2CH(CH3) CH3] = 69 + 147 − (−153.7) = 370 kJ/mol
R CH3 bond dissociation to form a tertiary radical:
BDE[(CH3)3C CH3] = 48 + 147 − (−167.9) = 363 kJ/mol
These calculations are consistent with the relative stability of radicals presented in Sec-tion 10.2B based on C H bond dissociation energy comparisons.
10.29 Single-barbed arrows show conversion of the enediyne system to a 1,4-benzenoid diradicalvia the Bergman cycloaromatization. Each alkyne contributes one electron from a pi bondto the new sigma bond. The remaining electrons in each of the pi bonds become the unpairedelectrons of the 1,4-benzenoid diradical. The diradical is a highly reactive intermediate thatreacts further to abstract hydrogen atoms from the DNA sugar-phosphate backbone. Thenew radicals formed on the DNA lead to bond fragmentation along the backbone and todouble-stranded cleavage of the DNA.
OO
O
S
HO
NH
OMe
Sugar
Bergman
cycloaromatization
Calicheamicin enediyne intermediate
O
O
S
HO
NH
Sugar
Hydrogen
abstraction
from DNA
1,4-Benzenoid diradical
O
OS
HO
NH H
H
Sugar
O OMe O OMe
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RADICAL REACTIONS 195
10.30 DH◦(kJ mol−1)CH2 = CH H 465(CH3)2CH H 413CH2 = CHCH2 H 369
(a) It is relatively difficult to effect radical halogenation at Ha because of the large DH◦ fordissociation of a bond to a vinylic hydrogen.
(b) Substitution of Hb occurs more readily than Hc because DH◦ for the generation of anallylic radical is significantly smaller than that for the formation of a simple 2◦ radical.
10.31
O
OBr
O
Oheat Br+(1)
O
CO2+(2)O
then 2,3 2,3 etc.
O
O
O
OBr Br
++(3)
Synthesis
10.32
Br2 Br
heat,
light
heat (E2)
(c)
Br2 Br Iheat,
light
NaI
(SN2)(a)
Br
O
NaOH OH
[from part (a)]
Br O− Na+NaH
(SN2) (−H2)(b)
CH3CH3
OK
OH
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196 RADICAL REACTIONS
Br
Br
HBr,
ROOR,
heat, light
Br2
heat,
light heat
(E2)
(by anti- Markovnikov
addition)Br2
heat,
light
2) CH3Br
1) NaNH2
CH3BrCH4
H Hliq. NH3
2) CH3Br
1) NaNH2
liq. NH3
(e)
(d)
H
ONa
OH,
1) NaNH2
liq. NH3
2)
[from part (a)]
[from part (a)]
H2, Ni2B
or
H2, Lindlar’s
catalyst
(f )
(g)
OH
HA, H2O
Br + Na+ N−N N − NN N −SN2
++
Br
H H H
10.33 Br2
hv
H2O
H2SO4(a)
Br OHONa
OH
HBr
ROOR
[from (a)]
(b) Br
[from (a)]
(1) BH3 : THF
(2) H2O2, OH�(c) OH
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RADICAL REACTIONS 197
[from (a)]
(d) OCH3(2) NaBH4, OH�
(1) THF-CH3OH
O�
F 2
2�
FHgF
O
(e)Br2
hv
Br2Br
Br
Br
enantiomer
ONa
OH
�
(f )Br2
hv
BrONa
OH
� enantiomer
Br2
H2O
OH
O
Br
NaOH
H2O
10.34 (1)
N2+
AIBN
NN
NN N 260° C
(2) NH
+ +N
H
(3) O2+O
O
(4)H
then 3,4 3,4 etc.
+
+
O
O
O
OH
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198 RADICAL REACTIONS
10.35 Besides direct H· abstraction from C5 there would be many H· abstractions from the threemethyl groups, leading to:
Any of these radicals could then, besides directly attacking chlorine, intramolecularly ab-stract H· from C5 (analogous to the “back biting” that explains branching during alkeneradical polymerization).
10.36 (1) Ph
O O
O
Ph
O
OO
O Ph
heat2
(2) Ph Ph
O
O
CO2+
(3) HPhHPh + +
O O
(4)CO+
O
(5) H
then 4,5 4,5 etc.O
+O
+
10.37 HOHO HOH
HO
X
+ +•
HO OHdimerization
10.38 (1) Bu3SnH Bu3Sn
(from AIBN)
N
+ +N
H
(2)I
Bu3Sn Bu3SnI+ +
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RADICAL REACTIONS 199
(3) Bu3SnBu3SnH+ +
then 2,3 2,3 etc.
10.39O O
O
Ph2
O
Ph O
O
Ph
O
PhPh CO2+
O
PhHPh + Bu3 SnH Bu3 Sn+
++ Br Bu3SnBrBu3Sn
Bu3SnH+ Bu3Sn+
Bu3SnH+ Bu3Sn+
10.40 Unpaired electron density in the methyl radical is localized solely above and below the car-bon atom, in the region corresponding to the p orbital of the approximately sp2-hybridizedcarbon atom. The ethyl radical shows some unpaired electron density at the adjacent hy-drogen atoms, especially the hydrogen atom that in the conformation shown has its H Csigma bond aligned parallel to the unpaired electron density of the p orbital of the radical.The larger size of the spin density lobe of the hydrogen with its H C bond parallel tothe p orbital of the radical indicates hyperconjugation with the radical. This effect is evenmore pronounced in the tert-butyl radical, where three hydrogen atoms with H C sigmabonds parallel to the radical p orbital (two hydrogens above the carbon plane and one belowin the conformation shown) have larger unpaired electron density volumes than the otherhydrogen atoms.
10.41 The sequence of molecular orbitals in O2 is σ1s (HOMO-7), σ ∗1s (HOMO-6), σ2s(HOMO-5), σ ∗2s (HOMO-4), π2py (HOMO-3), π2pz (HOMO-2), σ2px (HOMO-1),π∗2py (HOMO), π∗2pz (LUMO). Therefore (a) HOMO-3 and HOMO-2 represent bond-ing pi molecular orbitals, (b) HOMO-1 is a bonding sigma molecular orbital comprisedof overlap of the px orbitals on each oxygen, and (c) the HOMO and LUMO representthe antibonding pi molecular orbital counterparts to the bonding pi molecular orbitals
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200 RADICAL REACTIONS
represented by HOMO-3 and HOMO-2. Note that the orbitals in s and p orbitals in O2 arenot hybridized. A diagram of the orbitals and their respective energy levels is shown below.
HOMO (π∗2py)
HOMO-1 (σ2px)
HOMO-3 (π2py) HOMO-2 (π2pz)
HOMO-4 (σ∗2s)
LUMO (π∗2pz)
HOMO-6 (σ∗1s)
HOMO-7 (σ1s)
HOMO-5 (σ2s)
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RADICAL REACTIONS 201
QUIZ Use the single-bond dissociation energies of Table 10.1 (page 202):
10.1 On the basis of Table 10.1, what is the order of decreasing stability of the radicals,
?
> >
HC C
HC C(a)
CHCH2CH2 CH
CH2 CH
CH2
CHCH2CH2
> >HC C(b) CH2 CH
CH2 CH
CHCH2CH2
>> HC C
HC C
(c) CHCH2CH2
CH2 CH> >(d) CHCH2CH2
HC CCH2 CH > >(e) CHCH2CH2
10.2 In the radical chlorination of methane, one propagation step is shown as
Cl CH4 HCl CH3+ +
Why do we eliminate the possibility that this step goes as shown below?
Cl CH4 CH3Cl H+ +
(a) Because in the next propagation step, H· would have to react with Cl2 to form Cl· andHCl; this reaction is not feasible.
(b) Because this alternative step has a more endothermic �H ◦ than the first.
(c) Because free hydrogen atoms cannot exist.
(d) Because this alternative step is not consistent with the high photochemical efficiencyof this reaction.
10.3 Pure (S)-CH3CH2CHBrCH3 is subjected to monobromination to form several isomers ofC4H8Br2. Which of the following is not produced?
(a) (b) (c)
(d) (e)
Br
Br H
H
Br Br
Br
H Br
HH
Br H
Br
H BrBr
10.4 Using the data of Table 10.1, calculate the heat of reaction, �H ◦, of the reaction,
+ +CH3CH3 HBrBr2 Br
(a) 47 kJ mol−1 (b) −47 kJ mol−1 (c) 1275 kJ mol−1
(d) −1275 kJ mol−1 (e) −157 kJ mol−1
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Table 10.1 Single-bond homolytic dissociation energies DH◦ at 25◦C
A : B A + B
Compound kJ mol−1 Compound kJ mol−1
H H 436 (CH3)2CH Br 298D D 443 (CH3)2CH I 222F F 159 (CH3)2CH OH 402Cl Cl 243 (CH3)2CH OCH3 359Br Br 193 (CH3)2CHCH2 H 422I I 151 (CH3)3C H 400H F 570 (CH3)3C Cl 349H Cl 432 (CH3)3C Br 292H Br 366 (CH3)3C I 227H I 298 (CH3)3C OH 400CH3 H 440 (CH3)3C OCH3 348CH3 F 461 C6H5CH2 H 375CH3 Cl 352 CH2 CHCH2 H 369CH3 Br 293 CH2 CH H 465CH3 I 240 C6H5 H 474CH3 OH 387 HC C H 547CH3 OCH3 348 CH3 CH3 378CH3CH2 H 421 CH3CH2 CH3 371CH3CH2 F 444 CH3CH2CH2 CH3 374CH3CH2 Cl 353 CH3CH2 CH2CH3 343CH3CH2 Br 295 (CH3)2CH CH3 371CH3CH2 I 233 (CH3)3C CH3 363CH3CH2 OH 393 HO H 499CH3CH2 OCH3 352 HOO H 356CH3CH2CH2 H 423 HO OH 214CH3CH2CH2 F 444 (CH3)3CO OC(CH3)3 157CH3CH2CH2 ClCH3CH2CH2 BrCH3CH2CH2 ICH3CH2CH2 OHCH3CH2CH2 OCH3
(CH3)2CH H(CH3)2CH F(CH3)2CH Cl
354294239395355413439355
C6H5CO OCC6H5
O O
139
CH3CH2O OCH3 184CH3CH2O H 431
CH3C–H
O
364
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10.5 Which gas-phase reaction would have Eact = 0?
+ +(a) CH4
+CH4 CH3CH2
CH3CH2 CH3CH2
H Cl ClH Br
+
+
+ +
(b)
(c)
Br(d)
H I IH Br+ +Br(e)
CH3CH3CH3
CH3
10.6 What is the most stable radical that would be formed in the following reaction?
Cl HCl+ +
10.7 The reaction of 2-methylbutane with chlorine would yield a total of differentmonochloro products (including stereoisomers).
10.8 For which reaction would the transition state most resemble the products?
CH4 CH3 HF(a) F+ +
CH4 CH3 HCl(b) Cl+ +
CH4 CH3 HBr(c) Br+ +
CH4 CH3 HI(d) I+ +