Õ Æúr
3.8 U for n-Brf4gBr. Possible reasons for this discrepancy will be
discussed.
in section 3.6 (c).
Gravímetric
rate studies
were doneusing
(sec-Bu) rM9and (tert-Bu)- Mg.
The former gavethe characteristic colour
expectedfor
Grignardreagents when mixed
with
MMA andthe rate of polymerization
using (sec-Bu)2Mg \,ras muchfaster than for the
correspondinq sec-BuMgl3r,.ot
dm-3r.,T'= 223K, andFigure 3.15 (a) and (¡).
Depend-encerate of polymerization on the initial
concentrat.ion of active
n-Bu-l'fg boncls,[uttm.]
o
=
O.5O
mol
dïn-3; [nnr] =
2.6 ¡ro1 ¿*-3
;T =
223K..of initial
[*r,Jo'
1.6
+
+
I
cr)øt I
É
É r-loÉ
d
Ro
h0o
r{
o 1..4
1.2
1.O
0.6 0.8
-1 .6 -1..+
1og
-1 .0
mol
drit--o.
B1 o(
[cn]o/
-1
"2[G'r] o/ moI
3)
I
c.)v)
I.c|É
ri
o Éú
Pr+ o
o 30
20
10
o o
,o+ ,oB .12 .16
dm-3
3-26
=
0.021 mol ùn-3 for
sec-BuugBr and[""]o
-3[t"]o
0.012 mol &nfor (sec-Bu)rMv; fo?
R^ ,/mold^-3"-1 = 1I.O
anil 50for
sec-BuMgBrpo
and (sec-Bu)
rMg respectíve1Y.
However, when (tert-Bu)
rMg was Used, no
colour
change was observed whenthe
monomer was addedr andthe rate of polymerization
was verysIow, e.g. at [rur] = 2.8,
mo1do,-3,
[uualo=
2-76 mol òn-3 andlaa]o =
O.O24 and0.0I2
mold^-3 fot
tert-Bul{gBr and (tert-Bu)rMgÃ. -?
lorR',
/mo1dm'J =
76 and O.5Ufor the
Grignard and dialkylmagnesiunr.'o
compound.s
respectively.
3.6
Oi.tcu.t¿íonThe
results
containedin this
chapter have beenpurely
concernedwith the kínetics of the
pollzmerizationinitiated
by organomagnesium compounds, andso it
would be j:npossibleto
propose a mechanism on thebasis of
theseresults that
wouldexplain
those obtainedin
chapters4
and5.
Neverthelessr somecollclusions
can be drawn.(a)
Thekinetics of polymerization in
THF appearto
be símpJ-erthan
thosereported in diethyl ether. In the latter solvent, external
second
order initiator
dependence andfirst order
monomer dependence were obset r.d55b whereasin
THFexternal first order initiator
andexternaL
first order
monomer dependence occur.The
deviation
fromlinearity of the internal first order
monomerdependence
plots (h[U]o/[M]t versus time)
suggestsa zero internal
monomer depend,ence
since the
conversion curvesare linear"up to
402.3-27
This deviation
frominternal first order
monomer dependence has been observed byAllen aÍ ol54
althoughin their case' the
conversion/time curves werealso non-linear at
conversionsgreater
thanten percent'
The
linear
conversion versustjme
curves suggestthat there is
no
termination
duríngpolymerization'
Thereare alternative
explanationsr
suchas transfer to
monomerwith the production of
anothergrovüth
site of identical activity but
aswill be
shownín section 4'4'I the direct proportionality
betweenthe
experimental molecular weight arráttt" per cent
conversion(at least
upto
25å)is in
accordancewith a living system.
Watanabe Q,t a,L55 obser*¡edsimilar results in diethyl ether
andtermination free
systems havealso
been proposedfor
theBuMgCI
initiated
pol1'merizationof acryIonitrile in toluene at tggr'64b
Mention hasalready
been madeof the similarity
observed between thesetwo systems
(section
1.4.21,viz,external first order with respect to initiator
and.Iinear
conversion versus*or4þÍrar
weight depend'ence aswell- as
the insensitivity of
molecularweight to initial
monomerconcentration.
perhapsthis similarity is not surprising
when one considersrecent reports detailing
almostidentical
mechanismsfor the reactions of
ketones andnitrires v¡ith
Grignardreagents.3le'
41b(b)Itisunlikelythaëeitherinitiationorpropagationinvolve
the reaction of free ions or
1ooseíon-pairs. This
maynot be true in the
presenceof strongly solvating
agents such as HMPA \4thich modifiesboth the initiator
and propagatingspecíes.
Theability of
Grignardreagents
to
polymerize monomers such asstyren.gTt .r,d
o-Mestyrett9Tb3-28
in the
presenceof
HMPAbut not in its
absence supportsthe
abovecontention. Little
morewill
besaid
concerningthis
aspectof
thepollzmerization because
the original
airnof the
work wasto investigate the polymerization of
Ml4A by Grignard reagentsin solvents of
moderatedielectric
constant andsolvating ability-
Even though charged species a¡rd
their
agglomeratesare
knownto exist in ethereal solutions of
Grignard reagentsthe effect of
TtIFon
the rate of polyrnerization is
oppositeto that
expectedfor
propa-gatíon
byfree ions or various
formsof ion-pairs in equilibriun.
The absence
of
anyrapid
monomer consumptionat very
low temperature supportsthis hypothesis.
Drawíngon
comparativestudies in
theorgano,/atkali
system, low temperatures shouldfavour the
morereactive
solvent-separatedion pair or free ion species, e.9. ref.98"
The decreasing
rate with increasing
THFconcentration
cou1d. be explainedby the
presenceof a reactive
speciesat low xr*
and aIess reactive
oneat high *r", ir
equilibr:'-umwith
eachother.
Asimilar idea
has been sugtgestedinvolving a rapid
pre-exchangein
organomagmesium
"y"t.*".
35
This
ídeaof a reactive
monosolvate anda less reactive disolvate
hasalso
been invol<edto explain the effecE of
ca.ta'Lqlicquantities of
TFIF onthe
poI1'merizationof
styreneby polystyryllithium in
b"rrr*rr"."
ooIf
monomer becomes coordinatedwith the cation
yln'LOltto
its addition to the
carbanion,then addition of a
second moleculeof
3-29
ether
mayhinder propagation.
Szwarc100 usesthe following
symbolic eguationto explain this result
wherethe
ar¡:ow representsa
moleculeof
ether¡.A^^OO*--r + C=C
(3.10)
--- c - c..
útuç'- +>'@
However
the dietherate
.n^¡O
@¿ *-^
is
assumedto
besterically
blocked.Atthough
this type of
mechanisn mayexplain the effect of increasing
THF concentration on tJ:erate of porl'merization
observedin our
system where[f¡ff'] varied
from0,4a to
5 mol drnr" -2it is
onlyL applicable to the polystyrylf
sVstem when THFis present in catalytic amounts. At higher concentrations, i.e.,
comparablev¡ith our
system,ion, íon-pair equilibria will
becomeimportant in the organo-lithium
system.
(c)
Someinformation
concerningthe initiating
species can beobtained, i.e.,
whether*2tg,
RMgXor
someother
associated formsor
amixture of all are the truly active initiating species. It is
necessary
to
examinethe
publisheddata
concerningthe
Schlenkequilibrium I.1.
As discussedin sections 1.2.1
and1.2.3,
the3-30
Schlenk
equilibrir¡n is
¿llmoststatistically
balancedin
TFIFsolution at
anibient temperatureor slíghtly
above,i.e.
Kr_-r" 4
andis
virtually
independentof
Ror X.
Usingthe
publisheddata for
t-ÐXagCI
with Kr.l- = 4
andÀHro, =
3?kJmol-I.t
315K'Kr., =
O.Otat 223K.
Becauseof the
independenceof KI.I ot
R and Xit is
reasonable
to
assumethat at
223K'for all the
Grignard systems studiedhere, Kr., wilt
besmaIl. This
meansthat in our experi-
mentsthe
predominant speciesin solution will be the dialkyl-
magnesirun compound and magnesium bromide,
with only a very
small arnountof RMgX.
Comparativestudies
betweenthe reactivity of
dialkyl-magnesium and
their
corresponding Grignard reagents towards ketones,nitriles
and unsaturatedesters
have shownthat the
RrMgspecies
is far
morereactive
than Rl'lgx2?'39e'40a'46a' tot
u.n.Ashby has
calculated that
MerMgis ten times
morereactive
thanMeMgBr towards
addition to
2$ethyl-benzoph.rro.r".39êUnder
the conditions "no="r for our
experimenÈs,the
concentrationof
RrMg>>RMgX andit is therefore
reasonableto
suggestthat
theinitiating
speciesin our
systernis
RrMø andnot RMgX. In diethyl ether the situation
would become more complex because as discussedin section I.2.3, the
Schlenkequilibrir¡n strongly favours
RM9Xat
room temperature and
is also
dependent onthe nature of
R and Xin this solvent. rn iliethyl ether association effects are
alsoimportant. Therefore,
whendiethyl ether is
used,the
concentrationof
RMgXin solution v¡ill
be appreciable evenat
low temperatures and3-3I
will
almostcertainly play a signíficant role in the pollmerization.
This fact
mayexplain
someof the complexities
observed by various workersusing diethyt etϡer rather than
TFIF¡ê.9. the findings
byowens
eÍ
al'52b(section r.4.1) that
both porymer andcyclic
ketonecontaining at least three
monomerunits
were formed under conditions when [uuaìo<[cìo at
273Kr coüIdbe
explained onthe basis that in diethyl {tf.t, the small
amountof reactive
dialkylmagnesium presentin the solution
may bethe
causeof
thesehigh
molecula:: weight products.The almost
identical results
obtainedin this
workfor
the n-BuMgBr and (r¡-Bu)rMg systems supportthe
aboveproposal that
thereactive
speciesis RrMø.
However, some apparentcontradictions are obvious: firstry, the rerative rates of
pollzmerizationinitíated by
(n-Bu)rMgand
(sec-gu)rMgare faster than their
corresponding Grignard reagents whereas (tert-Bu)rMg polymerizes MMA much slower than
tert-Btûv1gBr. Identical rates of polymerization
would beexpected
for both
RrMg and RM9Xsotutions if
RrtutS werethe
predcrninanl:reactive species.
A1so,the
polymermicrostructure,
molecular weight and molecularweight distribution
wouLd be expectedto
beidentical for polymerizations with
R2Mgor
RM9X.The polymers prepared
using
n-Br:InIgBro¡
(n-Bu) 2Mgdid in fact
have
id.entical tacticities
andsjmilar
molecularweight distributionsr
however,
the tacticity
and molecularweight distribution of
poly(!lMA)prepared
usíng
sec-BuMgBr and tert-BuMgBr were completelydifferent
3-32
f::om
the
porymer preparedusing the
corresponding dialkyrmagnesiuncompounds.
There
are several possible
expranationsfor
these apparentdiscrepancies.
comparison betweenrates of reactions, especially
porymerizationsof low initiator efficiency,
can be misreading unressspecific rate
constants can beevaluated. onry
when theseare
known can an increasein rate be cçrrelated to
an increasedreactivity of the,species involved, for
exanpre, anincrease in polymerization rate
mayonty
be dueto
an increasein the
numberof active centres
brought.lorrf{ah.
presenceor
absenceof
some reagents asin the polymerization of styrene
byn-Buli in
benzenewith
andwÍthout
smallamountsof
ether.This type of situation
may beoccurring in our system. rt
has aJ-ready beenstated that the initiation efficiency is very low in
Grignard
initiated polymerizatíons.
The presenceor
absenceof
MgBr, may have a pronounsed
effect
onthe relative rates of
formationof inactive
species comparedwith active species. This effect
has been observedin various
non-pollzmerizationreactions
wherethe
a¡nountof
conjugateaddition to certain:
c:r ß-ünsaturatedesters
decreaseswith increasing
MgBr,concentratior,.'102
complexformation
between MMA and MgBr2 maybe the
cause.The presence
of
MgBr2 rnayalso affect the polyrnerization rate in
another
way.
Exchangereactions are rapid in
Grignard systems(section I.2.3)
and suclhreactions
mayinfluence the overall
pollzmerizatíonrates. A sirnilar effect
has been observedin
thereaction of
ketones andnitriles with MerMg.3lt ïn the
presenceof
MgX,the initial
ketone-
MerMg adduct undergoesrapid
redistribution
accordingto
*rfi.-o-Ms-Me + Mex2;ffiMe$sx
b**4" -oMsX
(3.11)whereas
in the
absenceof
MgX,a dífferent
mechanismis postulated.
=Q
2R2C -O-MgMe
"'+Mel4f- Me -
MsMe ---+Me¡4e(lrtn*" '*'" ,
2Ms(oR), (z,tz¡
R
Thus
ourinitial
proposalthat
RrMgis the reactive
speciesin our
systemis still justified, but
anadditional qualification
must beincluded
t viz., the
presence of. MgBr,not only alters the overall rate of
pollzmerization presumablyby influencing the
numberof active
centres
formedbut also
mayaffect. the ultimate
mechanism byparticipating ín various
complex exchangereactions
such as postulatedin the
ketone system.(d)
The presenceof side reactionsr
evenat low temperature' is
shown
by the low initiation efficiency calculated by
comparing the experimental andtheoretical
molecularweights.
Thetheoretical
nurnber average molecular
weight
(ü,, a.n)tor
7éorvmer producedin
atermination-free
systemin
whichthe initiation reactíon is effectively
j-nstantaneous
is given by the
expressionM
nt.h= a x [u]o x (Ml,Imonomer)
(3.r3)3-33
x
In
o3-34
where
o = fractional
conversion,MW (monomer) = molecular
weight of the
monomer6
ínitíation efficiency
(concentrationof active chains
formígghi
MWtotaL
amountof initiator
Thus an ULíns.te-
of {
may be obtained fromthe
experimental number average molecularweight (ün"*n) by
invoki¡xgtþe ídentity relation, '
M..nexp= M .
whichwill only
bevalid
underthe
conditionsnt.rl
outlined
above (seesection 6.I for
a moredetailed
discussion) 'The maximum
in the
Arrheniusplot is partly
dueto
anírreversible termination of the
growingchain.
Thereis also a rapid
terminatíonstep
which competeswith initiation at high
td'mperatuesbut is
absent belowthe inversion temperature.
Thespectral
evidence suggeststhat
and ihe lrow)ng .Aaìn
the
speciesresulting
fromtermination of the ínitiatodare of
thesame
basic type 45
the sþ¿ci:S <cLllst'ngthe
LL'v.ì,PeQ-k
at
T>253k
.This
assumption seems reasonable whenthe following results
areconsidered: the inversion
temperature observed fromthe
Arrheniusplots is the
same temperatureat
whichthe u.v.
absorpLion peakat t, +
296 nm begins i;ogrow;
nej-therthe polynerization nor the
appear-ance
of the
296nm peakis reversible
when* ,ri
and wheninitiatíon
occurs
at T >
T¿rthe poll'merization rate j-s very
slow andthe
296nmis
alwayspresent.
Here¿termination of the initiator only
appliesto
those products formed. whenT
>T¿ andnot necessarily to
those sidereactions
whíchoccur
conconrmitantly r¡¡ithinitiation
evenat
low3-35
temperatures.
A clue to the nature of
thesehigh tenperature side
productsis given in the result that thsiru.v.
absor.ptionat
À=
296 nmis not
destroyed by oxygenbut is
bymethanol. This
same phenomenonhas been observed
in the
pollzmerizationof
Ml'tAinitíated
byNa^(
2' a-
Me-stvrene).82'
4 wherea
peakat {
30Onm was obsen¡ed, which grewrapidly at
290K and was destroyed by methanolbut not ¡y
OZ.The
nature of this
peak was assignedto
analkoxide'
presÌfnably formedby attack of the
macro-chain onthe
monomer carbonylgroup¡
formingthe alkoxide f,
R
-c
I
=Qúv\no
n" @ + (3. r4)oOs.@
RO