Absolute rate constants for some intermolecular and intramolecular


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J . A m . Chem. SOC.1988, 110, 281-287

28 1

Note Added in Proof. The Birch reduction of the I-methyl derivative of 6 was found to proceed smoothly without adding TMS-CI or HMDS to give the corresponding N-methyl derivative of 7 in excellent yield.

Foundation, and from National Institutes of Health (NIGMS). Generous support from Ajinomoto Co., Inc., is also gratefully acknowledged.

Acknowledgment. This research was supported by grants from the Center for Biotechnology, S U N Y at Stony Brook, which is sponsored by the New York State Science and Technology

Supplementary Material Available: General methods, sources of materials, and the NOESY spectrum of 6 ( 2 pages). Ordering information is given on any current masthead page.

Absolute Rate Constants for Some Intermolecular and Intramolecular Reactions of cy-, 0-, and y-Silicon-Substituted Radicals' James W. Wilt," J. Lusztyk,' Mehoob Peeraqzband K. U. Ingold*' Contribution f r o m the Department of Chemistry, Loyola University of Chicago, Chicago, Illinois 60025, and the Division of Chemistry, National Research Council of Canada, Ottawa. Ontario, Canada K I A OR6. Received August 25, 1986. Revised Manuscript Received July 24, I987

Abstract: Rate constants for hydrogen atom abstraction from n-Bu3GeH (kGeH)by Me3SiCH2' (lo),Me3SiCH2CH2'(2*), and Me3SiCH2CH2CH,' (3')and from n-Bu3SnH (pH) by 1' and 3' have been determined at ambient temperatures. The order of decreasing radical reactivity is 1' > n-alkyl > 3' > 2'. However, for bromine abstraction from the parent bromides by n-Bu3Sn' and n-Bu3Ge', the order of decreasing reactivity is 1-Br > 2-Br > 3-Br n-alkyl bromide. The Arrhenius equations for reaction of 1' and 3' with n-Bu3SnH were also determined: log (kSnH(1.)/(M-l s-I)) = (10.2 i 0.5) - (3.90 f 0.62)/0 and log ( p H ( 3 ' ) / ( M - ' s-')) = (8.4 f 0.7) - (2.81 f 0.95)/0, where 0 = 2.3RT kcal/mol. These kinetic data are discussed and kixo/k:ndo, where k2+6 corresponds to the cyclization in relation to previously measureds rate constant ratios, kfC6/kSnH of a-,p-, and y-dimethylsilyl-substituted 5-hexenyl radicals to form 5-membered (ki,,) and 6-membered (kzndo)silacycloalkylmethyl radicals.

-

The growing popularity of free-radical cyclization for the construction of ring systems can be partly attributed to their predictability. That is, provided the cyclization is under kinetic control the size of the ring that will be formed predominantly can be forecast by the Baldwin-Beckwith rules.4 Few exceptions to these rules are known and even fewer have received detailed study. The best known illustration of the Baldwin-Beckwith rules is provided by the contrathermodynamic 5-exo cyclization of the 5-hexenyl radical to cyclopentylmethyl rather than the thermodynamically preferred, 6-endo cyclization to the cyclohexyl radical' ( k z x o / k f d o= 72 at 25 oC).s There are innumerable variants of this reaction' with k ~ n o / k ~values n d , that are generally at least as great as for 5-hexenyl and in which the new 5-membered ring contains substituents (including a second, fixed ring) or in which the ring contains heteroatoms from the first row of the periodic table (Le., 0 and N). By and large, exceptions to the BaldwinBeckwith rules arise when an atom from the second row is inFor example, one of us has corporated into the new ( I ) Issued as NRCC No. 28370. (2) Loyola. (a) Died: May 13, 1987. To whom this DaDer is dedicated. (b) .Present address: Department .of Chemistry, St. Josiph;s College, Bangalore-560001, India. (3) NRCC. (4) First advanced by Beckwith5 and later supported by Baldwin6 (5) Struble, D. L.; Beckwith, A. L. J.; Gream, G. E. Tetrahedron Letr. 1968, 3701-3704. Beckwith, A. L. J.; Gream, G. E.; Struble, D. L. Ausr. J . Chem. 1972, 25, 1081-1105. (6) Baldwin, J. E. J . Chem. SOC.,Chem. Commun. 1976, 734-736. (7) For reviews, see: (a) Beckwith, A. L. J.; Ingold, K. U. In Rearrangements in Ground and Excited States; de Mayo, P., Ed.; Academic: New York, 1980; Vol. 1, Essay 4. (b) Surzur, J. M. React. Intermed. (Plenum) 1981,2, 121-295. (c) Beckwith, A. L. J. Tetrahedron 1981, 37, 3071-3100. (8) Wilt, J. W. Tetrahedron 1985, 41, 3979-4000. (9) (a) Chatgilialoglu, C.; Woynar, H.; Ingold, K. U.; Davies, A. G. J . Chem. SOC.,Perkin Trans. 2 1983, 555-561. (b) Barton, T. J.; Revis, A. J . Am. Chem. SOC.1984, 106, 3802-3805.

0002-7863/88/1510-0281$01.50/0

reporteds that the replacement of a C H 2 group at the 2 (a),3 ( p ) , or 4 (y) position of 5-hexenyl by an SiMe2group gave quite unexpected results, both in terms of exo/endo product ratios1° and in terms of the apparent rates of cyclization of these three radicals. The standard experimental approach was followed in which an acyclic parent halide was reacted with n-Bu,SnH under radical-chain conditions. Cyclization of the acyclic radical (rate constant, k:+6 = k5exo k6endo) competes with hydrogen atom ab; Scheme straction from the tin hydride (rate constant k S n H )see I for the competitive reactions of the a-dimethylsilyl-substituted radical. The results obtained* with the three SiMe2-substituted radicals and with two all-carbon analogues are summarized in Table I. For the latter, values of ksnH are k n o ~ n ' ~and . ' ~ hence kzxoand k:ndocan be calculated. However, values of ksnH for the silicon-containing radicals are not known and therefore it was uncertain as to whether the different behavior of these radicals, relative to the behavior of the all-carbon radicals, was due to differences in their rates of attack on n-Bu,SnH. In the present paper, we have resolved this uncertainty by determining values of ksnH for l', 2'. and 3', which are appropriate analsgues for the a-,fl-, y-dimethylsilyl-substituted 5-hexenyl radicals.

+

Me3SiCH2' 1'

Me3SiCH2CH2' 2'

Me3SiCH2CH2CH2' 3'

(10) Systems containing the C=CCH20SiMe2CH2' moiety also undergo preferential 6-endo cyclization. See, e&: Nishiyania, H.; Kitajima, T.; Matsumoto, M.; Itoh, K. J . Org. Chem. 1984, 49, 2298-2300. Koreeda, M.: George, I. A. J . Am. Chem. SOC.1986, 108, 8098-8100. (!I) Bastien, G.; Surzur, J. M. Bull. SOC.Chim. Fr. 1979, 601-605. Bastien, G.; Crozet, M. P.; Flesia, E.; Surzur, J. M. Ibid. 1979, 606-613. (12) Chatgilialoglu, C.; Ingold, K. U.; Scaiano, J. C. J. Am. Chem. SOC. 1981, 103, 7739-7742. (13) Johnston. L. J.: Lusztvk. J.: Wavner. D. D. M.: Abevwickrevma. A. N.;'BGkwith, A. L. J.; Scaiano, J. C.; Ingold,'K. U. J . Am. &em. Sic. 1985, 107, 4594-4596.

0 1988 American Chemical Society

282 J . Am. Chem. SOC.,Vol. 110, No. 1, 1988

Wilt et al. Table 11. Arrhenius Parameters and Rate Constants at 27 OC for

Scheme I

Reaction of Some Carbon-Centered Radicals with n-Bu?SnH'

1

n-Bu3SnH

Me3SiCH2'b Me,SiCH2CH2CH2" CHJad n-alkyld,'

in-Bu,SnH

kSH+n-Bu,SnH

3.90 2.81 3.23 3.69

f 0.62 f 0.95 f 0.34 f 0.32

22.4 2.2, 10.6 2.40

Errors correspond to 95% confidence limits but include only random errors. *Generated from the arsine in isooctane and in benzene as solvent at temperatures from -1 to +62 OC. CGenerated from the peroxide in tert-butylbenzene as solvent a t temperatures from -20 to +35 OC. dData are from ref 12. 'Combined data for the ethyl and n-butyl radicals.

Table I. Summary of Kinetic Data Reported in Ref 8 for the Cyclization of 5-Hexenyl and Some Substituted 5-Hexenyl Radicals at 25 OC k ~ r a / k ~ , d o 103kf+6/kSnH,M

radical CH2=CHCH2CH2SiMe2CH2' CH2=CHCH2SiMe2CH2CH2' CH2=CHSiMe2CH2CH2CH2' CH,=CHCH,CH*CH2CH2* CH2=CHCH2CH2CMe2CH2'

1.1 0.61 33 106 >600

0.46 -0 15 72 >IO0

-

Direct Measurement of kSnH for Me,SiCH; (1'). This radical was produced by reaction of photochemically generated tertbutoxyl radicals with tris[(trimethylsilyl)methyl]arsine: EPR Me3COOCMe3

+ (Me,SiCH,),As

-

-

(Me3SiCH2)3AsOCMe3 Me3SiCHz' 1

2Me3CO'

(Me3SiCHz),AsOCMe3

(1)

(2)

+ (Me3SiCHz)ZAsOCMe3(3)

spectrum, aH.(2H) = 20.75 G, aH7(9H) = 0.43 G at 25 OC; lit.I4 aHa(2H) = 20.88 G, aH7(9H) = 0.41 G at -126 "C. Laser flash photolysis of these two reagents15 with added n-Bu3SnH was carried out as described p r e v i o u ~ l yand ~ ~ *growth ~ ~ of the n-Bu3Sn' radical was monitored at 400 or 450 nm. Rate constants for Me3SiCHz'

+ n-Bu,SnH

ks"H(1')

Me,Si

+ n-Bu3Sn'

of the n-Bu3Sn' radical upon the addition of n-Bu3SnH. This 380-nm transient was produced even when using the arsine after purification by preparative GC. For this reason, 4-(trimethylsily1)-n-butyrylperoxide was synthesized and, on photolysis, was shown by EPR spectroscopy to yield the desired radical, 3'. The ( Me,SiCH2CHzCHzC0z)z

Results

Me3CO'

10.2 f 0.5 8.4 & 0.7 9.39 f 0.28 9.01 f 0.24

(4)

reaction 4 were measured in isooctane and in benzene as solvenz over the temperature range -1 to +62 "C (see Supplementary Material). They yielded the Arrhenius parameters given in Table 11. Direct Measurement of kSnH for Me3SiCHzCHzCH,'(Y).The corresponding trisubstituted arsine reacted with photochemically generated tert-butoxyl radicals to yield the expected radical, 3': EPR spectrum, aH0(2H) = 21.75 G, aH+4(2H)= 27.15 G at 25 OC." Unfortunately, laser flash photolysis of the peroxide and arsine produced a transient (A, = 380 nm) which prevented measurement of the rate constant for reaction of tert-butoxyl with the arsine and also made it quite impossible to monitor growth

hu

2Me3SiCHzCHzCH2'+ 2 C 0 2 (5) 3' peroxide was sufficiently stable toward n-Bu3SnH for laser flash photolysis experiments to be carried out. The growth of the n-Bu,Sn' radical was monitored in the usual way. Kinetic F93') Me3SiCH2CH2CH2'+ n-Bu3SnH Me3SiCHzCHzCH3 n-Bu3Sn' (6)

-+

measurements in tert-butylbenzene, made over the temperature range -20 to +35 "C (see Supplementary Material), yielded the Arrhenius parameters given in Table 11. Indirect Estimate of kSnHfor Me3SiCH2CHz'(2'). The trisubstituted arsine reacted with photochemically generated tertbutoxyls to yield the expected radical, 2': EPR spectrum, ab(2H) = 20.75 G, aH8(2H) = 19.0 G, at 25 OC; lit.19 aHa(2H) = 21.05 G, aH8(2H) = 17.68 G at -112 OC. Unfortunately, this arsine, even after preparative GC, gave transients in the laser flash system.15 For this reason, it was not possible to measure the rate O 2' was also constant for reaction of 2' with ~ - B U , S ~ H . ~Radical produced by photolysis of 3-(trimethylsilyl)propionyl peroxide and was identified by EPR spectroscopy. Unfortunately, this peroxide (Me3SiCHzCHzC0z)z2 2Me,SiCHzCH2' + 2COZ (7) 2' (which is relatively unstable at room temperature) was instantly decomposed by n-Bu3SnH so that the laser flash experiments could not be performed. Since our attempts to measure kSnH(2*)directly were unsuccessful, we were forced to consider indirect methods for estimating this quantity. Early kinetic studies on the free-radical chain reaction of alkyl bromides with n-Bu3SnH showed that the rate-controlling propagation step was H-atom abstraction from the tin hydride by the alkyl r a d i ~ a l . ~The ~ . ~overall ~ process can be represented byZZ _ _ ~

(14) Krusic, P. J.; Kochi, J. K. J . Am. Chem. SOC.1969,91,6161-6164. (15) By the addition of benzhydrol as a 'probe"I6 it is possible to measure rate constants for reaction of tert-butoxyl radicals with trialkylarsines. For (Me,SiCH,),As this reaction has a rate constant k2 = (9.25 f 0.55) X 10' M-! s-l, for (Me3SiCH2CH2),Ask = (1.23 f 0.10) X IO9 M-I s-', while for (MeCH,),As we have previously shown12that k = 2.5 X IO9 M-I s-' . (Avalue for (Me,SiCH2CH2CH,)3Ascould not be obtained because transients were produced even in the absence of benzhydrol.) Note that the &scission of trialkyl-tert-butoxyarsoranyl radicals, R3AsOCMe3, is known12 to be "instantaneous" on the time scale of these experiments, particularly in comparison with the rate of alkyl radical attack on tin hydride (reaction 4). (16) Paul, H.; Small, R. D., Jr.; Scaiano, J. C. J . Am. Chem. SOC.1978, 100, 4520-4527. (17) Compareis n-butyl, uH=(2H)= 21.98 G, uH0(2H) = 29.54 G at -105 "C,with auH+4/aT= -0,022 G/K. which yields uHe(2H) = 26.68 G a t 25 OC. It should be noted that aaH8/aT is negative, not positive as given in ref 18. (18) Edge, D. J.; Kochi, J. K. J . Am. Chem. SOC.1972, 94, 7695-7701.

(19) Kawamura, T.; Kochi, J. K. J . Am. Chem. SOC.1972, 94,648-650. Note: for Me,SiCH2CH2', auH8/aTis given as +0.013 G/K, from which we calculate that uH+4(2H)= 19.46 G at 25 'C. (20) (a) The remote possibility of a rapid p-scission, 2' Me3Si' + C2H, at these temperatures,20bwas explored by laser flash photolysis of di-tert-butyl peroxide, (Me,SiCH,CH,),As, and benzil (which is an excellent silyl radical trap).21 No absorption was produced at 378 nm (the A, for the silyl radical/benzil adduct),2i which allows us to eliminate this reaction from consideration under our conditions. (b) See: Bennett, S. W.; Eaborn, C.; Jackson, R. A,; Pearce, R. J . Orgunomet. Chem. 1986, 15, P17. Jackson, R. A. J . Chem. Soc., Chem. Commun. 1974, 573-574. (21) Chatgilialoglu, C.; Ingold, K. U.; Scaiano, J. C. J . Am. Chem. SOC. 1982, 104, 5119-5123. (22) Carlsson, D. J.; Ingold, K. U. J . Am. Chem. SOC. 1968, 90, 7047-7055. (23) The rate-controlling step for alkyl chlorides is chlorine atom abstraction by the tri-n-butyltin radicaLZ2

-

J . Am. Chem. Soc.. Vol. 110, No. 1 , 1988 283

Reactions of a-,@-, and y-Silicon-Substituted Radicals

Table 111. Kinetic Data Obtained by IH NMR for the DMVN-Initiated

initiation

Reaction of n-Bu3GeH with Four Bromides in C6D6at 33 OC 1OSV/In-Bu?GeH1[bromide]: [n-Bu3GeH]P [DMVN],' 10SV,b 105V,C [DMVNf'/2,d M 4 / 2 s-i . M M M M s-l M s-'

propagation R'

+ n-Bu3SnH

n-Bu3Sn'

+ RBr

termination R'

+ R'

-

!PH

R H +n-Bu,Sn'

k&

n-Bu,SnBr

+ R'

nonradical products

(9) (10)

(11)

1 .oo 1 .oo 1 .oo 1 .oo 1 .oo 1 .oo 1 .oo 3.00

0.10 0.33 0.50 0.50 0.50 0.65 0.97 0.50

1.16 1.16

0.11 0.32 0.50

1 .oo 1 .oo

where In2 represents a thermal source of radicals, In', which yields these radicals with an efficiency e, and these radicals then initiate the chain with an efficiency f so as to produce a rate of chain initiation Ri = 2efks[In2]. The overall velocity of the reaction, V, is given byZ2

1 .oo

0.50 0.50

1.16 1.16 3.00

0.65 0.97 0.50

V = kSnH[n-Bu3SnH]Ri1/2/(2kll)1~2 (1)

1.04 1.04 1 .oo

0.10

It is now firmly e s t a b l i ~ h e d ~ ~that * ~ ~small, - ~ ' sterically uncrowded, alkyl radicals undergo their bimolecular self-reactions with rates that are equal (or very close) to the diffusion-controlled limit. This means that for unhindered alkyl radicals of generally similar size and under similar experimental conditions, the values of 2kl are effectively identical. Therefore, individual measurement of the overall rates of reaction, V , and Vb, for two alkyl bromides, R,Br and RbBr, with n-Bu,SnH under conditions where the rate of chain initiation is equal and constant can be described by V, = kpH[n-Bu3SnH]Ri1/2/(2k11)1/2

(11)

For equal Ri and equal [n-Bu,SnH] we have

Provided k:nH is known, k p H can be determined with acceptable precision. Constant rates of chain initiation were achieved by the use of 2,2'-azobis(2,4-dimethylvaleronitrile)(DMVN) as the thermal source of initiating radicals. The progress of the reaction was monitored continuously by 'H N M R by carrying out the reactions in degassed, sealed N M R tubes directly in the spectrometer's probe at 33 OC using C6D6as solvent. Unfortunately, the reaction of Me3SiCH2Brand of Me3SiCH2CH2Brwith n-Bu3SnH were both somewhat too rapid for convenient and accurate measurement of their rates by NMR. For this reason,n-Bu,GeH was used in place of n-Bu3SnH. The two radicals n-Bu3Ge' and n-Bu,Sn' are known to abstract bromine from alkyl bromides with very similar rate constants.28 However, n-Bu3GeH is at least an order of magnitude less active than n-Bu3SnH as a hydrogen atom donor to alkyl radical^.^^.^^ As a consequence, the rate of the overall chain (24) Watts, G . B.; Ingold, K. U. J. Am. Chem. SOC. 1972, 94, 491-494. (25) Ingold, K. U.In Free Radicals; Kochi, J. K., Ed.;Wiley: New York, 1973; Vol. 1, Chapter 2. (26) Griller, D.;Ingold, K. U. Int. J . Chem. Kinet. 1974, 6 , 453-456. (27) See also: Schuh, H.; Fisher, H. Int. J . Chem. Kinet.1976,8, 341-356; Helu. Chim. Acta 1978, 61, 2130-2164, 2463-2481. Lehni, M.; Schuh, H.; Fisher, H. Int. J . Chem. Kinet. 1979, 11, 705-7 13. Paul, H.; Segaud, C. Ibid. 1980, 12, 637-647. Huggenberger, C.; Fisher, H. Helu. Chim. Acta 1981, 64, 338-353. Miinger, K.; Fisher, H. Int. J . Chem. Kinet. 1984, 16, 1213-1226. Lipscher, J.; Fisher, H. J . Phys. Chem. 1984,88,2555-2559 and references cited. (28) Ingold, K.U.;Lusztyk, J.; Scaiano, J. C.J . Am. Chem. Soc. 1984, 106, 343-348. (29) Lusztyk, J.; Maillard, B.; Lindsay, D. A,; Ingold, K. U. J. Am. Chem. SOC. 1983, 105, 3578-3580.

0.32 0.50 0.50 0.50 0.64 0.94

1 .oo 1

.oo

1.04 1.04

3 .oo

0.50

MepSiCHIBr 0.15 0.69 0.15 4.1 0.10 6.3 0.50 16.8 1.00 19.4 0.15 12.3 0.15 17.0

0.85 5.4 7.2 12.4 12.7

8.8

0.15

Me3SiCH2CHlBr 0.15 0.22 0.15 0.60 0.10 1.1 0.50 1.9 1.00 2.4 0.15 1.4 0.15 2.4 0.15 1.1 Me3SiCH2CHlCH2Br 0.15 0.29 0.15 0.61 0.15 1.3 0.25 1.7 0.98 3.5 0.15 1.5 0.15 2.9 0.15 1.2

20 37 43 48 39 49 40 45 5.2

0.60 1.o

2.4 2.4 1.1 1.8

4,5

6.6 6.1 4.8 5.0 5.6 5.7

0.22 0.77 1.2 1.2

6.6 5.6 6.5

1.4 2.1

7.1 5.8 6.9 6.2

5.8

CHICHZCHlCH2Br 7.5 0.15 0.29 6.7 I .oo 0.15 0.69 0.60 1.5 1 .oo 0.15 1.4 7.5 2.1 7.6 I .oo 0.25 1.7 3.5 9.2 1 .oo 0.50 0.50 3.0 1 .oo 0.50 0.75 2.8 3.3 7.0 0.15 1.4 7.2 3.00 0.50 "Initial concentration. bMonitored via the GeH signal. eMonitored via the CHIBr signal. dThe averaged value of V has been used in those cases where V was measured via both the GeH and CH2Br signals. 1 .oo

0.10 0.25 0.50 0.50

reaction is reduced and the kinetic rate law (eq I) that is known22 to describe the alkyl bromide/tin hydride reaction will be strongly reinforced for the alkyl bromide/germanium hydride reaction, Le., eq V.

kg -

R H +n-Bu3Ge'

(12)

n-Bu3GeBr + R'

(13)

V = kGeH[n-Bu3GeH] Rill2/( 2kl 1 ) 1 / 2

(VI

R'

+ n-Bu3GeH

n-Bu,Ge'

+ RBr

ken

Since the rate of chain initiation is proportional to the DMVN concentration, eq V can be rewritten as V [ n-Bu,GeH] [DMVN] ' I 2

-- ckGeH (2kl 1 ) 1 / 2

(VI)

The experimental rate data obtained for the DMVN-initiated reaction of n-Bu,GeH with Me3SiCH2Br, Me,SiCH2CH2Br, Me3SiCH2CH2CH2Br,and CH3CH2CH2CH2Brat 33 OC are given in Table 111. As can be seen from the final column for each bromide, the quantity V/[n-Bu,GeH] [DMVN] l I 2 is constant within our experimental error and, in particular, shows no dependence on the bromide concentration (within the range 1-3 M). Measurement of the Relative Rates of Bromine Atom Abstraction from Sicon-Containing Bromides and n -Butyl Bromide. Relative values of the rate constants for reaction 13 ( k E r ) were measured by standard competitive-kinetic methods at 33 OC using DMVN as the thermal initiator of the radical-chain processes. The reactivities of the three silicon-containing bromides (1-Br, 2-Br, and 3-Br) were each measured relative to n-butyl bromide by moni(30) Lusztyk, J.; Maillard, B.; Deycard, S.; Lindsay, D. A,; Ingold, K. U. J . Org. Chem. 1987, 52, 3509-3514.

Wilt et al.

284 J. Am. Chem. Soc.. Vol. 110, No. 1, 1988 Table IV. Relative and Absolute Rate Constants for Some Bromine Atom Abstraction Reactions a t Ambient Temperatures

n-Bu,Ge'

Me3SiCH2Br(1-Br) Me3SiCH2CH,Br (2-Br) Me?SiCH,CH,CH,Br (3-Br) CH;CH2CH26H,Br

3.3 1.7 0.71 (1.0)

15.2 7.8 3.3 4.6'

n-BuSn'

6.6 3.7 1.1 (1.0)

21.1 11.8 3.4 3.2d

aThis work. Errors are ca. f2O%. bReference 31 at 35-40 OC.