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Frontally polymerized foams: thermodynamic and kinetical aspects of front hindrance by particles

Abstract

Frontal polymerization (FP) is a solvent-free, energy-efficient process where a self-propagating polymerization reaction with a characteristic sharp temperature gradient at the front head propagates through the resin to provide the curing conditions. It relies on the enthalpic balance, which spreads the reaction to unreacted resin in the neighborhood. Therefore, the FP is sensitive to the presence of non-reactive volumes, such as boundaries, fillers, or other additives, that retain heat from the front but produce no enthalpy in return. On the other hand, the front's high temperature could be used to initiate other processes, such as foaming, incorporating them into a simple single-step fabrication procedure. This study used silica particles of two different sizes (14 nm and 200-300 nm) in an epoxy-based FP foam as a representative filler to probe the constraints imposed by non-reactive additives. The presence of particles visibly hindered the front propagation, increased the foam density and even corrupted the frontal regime in some cases. We show that preheating or chemical composition changes are viable approaches to address the fillers' adverse effects. Furthermore, we present evidence that the reduced reaction enthalpy caused by silica nanoparticles, was balanced by the lower heat capacity of our model system. At the same time, the front hindrance was attributed to changes in reaction kinetics and the heat distribution around the front. These results set up essential narratives for the design and practical applications of frontally polymerized foams with non-reactive fillers.

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Frontally polymerized foams: thermodynamic and kinetical aspects of front hindrance by particles

Author: Lepcio, Petr; Daguerre-Bradford, John; Cristadoro, Anna Maria; Schuette, Markus; Lesser, Alan J.
Publisher: ROYAL SOC CHEMISTRY
Year: 2023
DOI: 10.1039/d2mh01553f
Source: https://dspace.vut.cz/bitstreams/517a2e41-ec6b-4646-a085-ad3d45892d05/download
This jou nal is © The Royal Socie y o Chemis y 2023 Ma e . Ho iz., 2023, 10, 2989–2996 | 2989
Ci e his: Ma e . Ho iz., 2023,
10, 2989
F on ally polyme ized oams: he modynamic and
kine ical aspec s o on hind ance by pa icles†
Pe Lepcio,
a
John Dague e-B ad o d,
b
Anna Ma ia C is ado o,
c
Ma kus Schue e
c
and Alan J. Lesse *
b
F on al polyme iza ion (FP) is a sol en - ee, ene gy-efficien p ocess
whe e a sel -p opaga ing polyme iza ion eac ion wi h a cha ac e is ic
sha p empe a u e g adien a he on head p opaga es h ough he
esin o p o ide he cu ing condi ions. I elies on he en halpic
balance, which sp eads he eac ion o un eac ed esin in he
neighbo hood. The e o e, he FP is sensi i e o he p esence o
non- eac i e olumes, such as bounda ies, ille s, o o he addi i es,
ha e ain hea om he on bu p oduce no en halpy in e u n.
On he o he hand, he on ’s high empe a u e could be used o
ini ia e o he p ocesses, such as oaming, inco po a ing hem in o a
simple single-s ep ab ica ion p ocedu e. This s udy used silica
pa icles o wo diffe en sizes (14 nm and 200–300 nm) in an
epoxy-based FP oam as a ep esen a i e ille o p obe he con-
s ain s imposed by non- eac i e addi i es. The p esence o pa i-
cles isibly hinde ed he on p opaga ion, inc eased he oam
densi y and e en co up ed he on al egime in some cases. We
show ha p ehea ing o chemical composi ion changes a e iable
app oaches o add ess he ille s’ ad e se e ec s. Fu he mo e, we
p esen e idence ha he educed eac ion en halpy caused by
silica nanopa icles, was balanced by he lowe hea capaci y o ou
model sys em. A he same ime, he on hind ance was a ibu ed
o changes in eac ion kine ics and he hea dis ibu ion a ound he
on . These esul s se up essen ial na a i es o he design and
p ac ical applica ions o on ally polyme ized oams wi h non-
eac i e ille s.
1. In oduc ion
F on al polyme iza ion (FP) is a special polyme iza ion p ocess
whe e once ini ia ed a one loca ion, can p opaga e om he
ini ia ion si e h ough he olume o he uncu ed esin ia he
exo he m gene a ed du ing he cu e. As he cu ing p oceeds,
he e ol ing excess hea locally sel -ini ia es he eac ion in
nea by egions. This p ocess is epea ed un il he p opaga ing
polyme iza ion c ea es a on wi h a cha ac e is ic sha p
empe a u e g adien . These cu ing condi ions a e a mo e
ene gy efficien han he mal cu ing
1
while no suffe ing om
he sho po -li e o chemically cu ed o mula ions.
2
A he
same ime, he sol en - ee FP condi ions gene a e minimum
was e and offe speci ic unique p ope ies compa ed o bulk
polyme iza ion, such as highe con e sion, be e mechanical
pe o mance, o chemical esis ance.
3
Mo eo e , he on
could ini ia e o he p ocesses such as in-si u syn hesis o
nanopa icles
4
o oaming.
5
These pa ame e s make he FP a
good candida e o en i onmen ally iendly and sus ainable
p ocessing me hods, especially in combina ion wi h g een
chemis ies.
6,7
a
Cen al Eu opean Ins i u e o Technology, B no Uni e si y o Technology,
Pu kyn
ˇo a 656/123, 612 00 B no, Czech Republic
b
Uni e si y o Massachuse s Amhe s , 120 Go e no s D i e, Amhe s , MA 01003,
USA. E-mail: [email p o ec ed]
c
BASF Polyu e hanes, Elas og ans 60, Lem oe de, 49448, Ge many
†Elec onic supplemen a y in o ma ion (ESI) a ailable: The suppo ing in o ma-
ion ile con ains addi ional da a wi h a on al egime co up ed by pa icles, a
aw DSC cu e, and empe a u e p o iles o he illed samples. See DOI: h ps://
doi.o g/10.1039/d2mh01553
Recei ed 21s Decembe 2022,
Accep ed 9 h May 2023
DOI: 10.1039/d2mh01553
sc.li/ma e ials-ho izons
New concep s
This manusc ip es ablishes basic na a i es o designing and imple-
men ing ille s in on ally polyme ized (FP) oams. New undamen al
insigh s in o he he modynamics and kine ical effec s induced by mic o-
and nanopa icles o on al polyme iza ion a e p esen ed. FP oams a e
a o ed o ene gy-efficien cu ing, high con e sion, and good mechanical
pe o mance. Howe e , adding pa icles o an FP o mula ion may
equi e adjus men s o main ain he on al egime o polyme iza ion
by es o ing he en halpic balance. The h ee main phases o FP a e he
p ehea ing ahead o he on , he on head wi h maximum
empe a u e, and he hea e en ion a e he on passes. All h ee
p ocesses a e signi ican ly affec ed by he p esence o pa icles. We
demons a e new design s a egies add essing hese challenges
p e en ing his ield om u he expansion. Ei he he o mula ion
could be p ehea ed be o e he ini ia ion, he eac ion a e can be
accele a ed by adding mo e ini ia o , o he eac ion en halpy migh be
inc eased by adjus ing he monome composi ion. These esul s open a
way owa d inno a i e composi e and nanocomposi e FP oams. This new
class o ma e ials can combine simple and efficien p ocessing,
ligh weigh s uc u e, mechanical obus ness, and ad anced p ope ies,
such as he mal o elec ical conduc i i y, in oduced by unc ional
nano ille s.
Ma e ials
Ho izons
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The on al egime is go e ned by he en halpic balance
be ween hea gene a ion, consump ion, and losses o he
en i onmen and simul aneous p ocesses.
2
The he e ogeneous
ma e ials nea he eac ion on may abso b and e ain he
excess eac ion en halpy while p oducing no eac ion en halpy
in e u n. Hence, he FP is sensi i e o bounda y condi ions and
un eac i e olume, e.g., ille s. E en a iny a ia ion o ac i a-
ion ene gy may ha e a p ominen effec on he on eloci y
and limi he maximum con en o un eac i e addi i es eligible
o achie ing he FP condi ions.
8
Insufficien , slow, o une en
hea e olu ion causes he on o cool down and decele a e; i
may esul in inge ing o e en dis up he sel -p opaga ion.
9,10
This could also o igina e om he inc eased c oss-linking
densi y o slowe diffusion in he sys em.
2
On he o he hand,
oo la ge excess hea p omo es sel -ini ia ion, and he eac ion
becomes mo e simila o s anda d bulk polyme iza ion.
11
Nanopa icles and o he nanoma e ials ep esen a speci ic
ca ego y o ille s wi h p onounced in e acial effec s.
12
They a e
a o ed o nano ein o cemen ,
13
unc ional addi i a ion,
14,15
and, gene ally, a simple modi ica ion o p ope ies.
16
Da yan,
e al. epo ed an almos negligible effec o silica nanopa icles
(NPs) on he on p opaga ion and empe a u e o PMMA/me hyl
me hac yla e solu ion up o he concen a ion co esponding o
he NP agg ega ion limi .
17
On he o he hand, la ge o agg e-
ga ed pa icles caused a a mo e p onounced on hind ance.
In e es ingly, Da yan, e al. also documen ed an imp o ed NP
dispe sion a e he FP. A s ong shea ield is usually equi ed o
achie e a good NP dispe sion, e.g.,ina winsc ewex ude
18
o
ul asonica ion-induced ca i a ion.
19,20
Nanosilica pa icles we e
also ound o s abilize he on and supp ess inge ing.
9
Such
obse a ion has g ea p ac ical impo ance because he quali y o
NP dispe sion di ec ly in luences he ma e ial p ope ies.
21
Fo
ins ance, he mechanical and he mal p ope ies s em om he
immobilized and us a ed polyme laye adso bed a ound he
NPs
22
ha expe ience he nanocon inemen effec .
23
Finally, nanocomposi e oams ep esen a b oad ca ego y o
ligh weigh ma e ials. NPs and o he nano ille s a e o en used
o con ol he oam mo phology, educing he cell size h ough
enhanced cell nuclea ion
24–26
o in oducing unc ional p ope -
ies such as elec ic conduc i i y.
27
Howe e , NPs also ha e a
complex e ec on mechanical de o ma ion and ac u e due o
he combined nanocon inemen e ec om so and s i
inclusions ep esen ed by he oids and he nanopa icles.
26
In he only p e ious a emp known o he au ho s, he FP has
been deployed o ab ica e polyme oams by including a
physical blowing agen in o a s anda d FP o mula ion.
5
The
mo phology o FP oams was con olled by he concen a ion
and ype o he blowing agen . A he same ime, he empe a-
u e and iscosi y g adien a he on head esul ed in a
p ominen aniso opy o he oam cells.
5
We no e ha his
single-s ep p ocedu e migh be be e sui ed o ab ica ing
aniso opic oams a a la ge scale han he empla ing p o-
cesses.
28
None heless, he apo iza ion o a physical blowing
agen e ained hea om he on , comp omising i s s abili y.
5
This ac o limi s he e sa ili y o his app oach, especially in
combina ions wi h o he non- eac i e addi i es.
Ins ead, an exo he mic chemical blowing agen may p o e a
mo e iable solu ion o achie ing low oam densi y and a high
polyme iza ion a e. The cu en s udy p esen s on ally poly-
me ized oams based on a he mose ing epoxy esin. An
azodica bonamide-based blowing agen s a ed he oaming
nea he polyme iza ion empe a u e, and wo sizes o silica
pa icles (14 nm and 200–300 nm) we e used as ep esen a i e
ille . The pa icles caused an appa en on hind ance man-
i es ed by a slowe on p opaga ion a e and inc eased oam
densi y. A de ailed insigh in o he he modynamics by modu-
la ed DSC sugges ed ha he nanopa icles lowe ed he eac-
ion hea . Ye , i was coun e ed by he educed hea capaci y o
he nano- illed o mula ion. Thus, he c ucial ole in he on
hind ance was a ibu ed o eac ion kine ics and hea dis ibu-
ion a ound he on . The mal imaging was used o e alua e
he on empe a u e g adien s, o sepa a e he con ibu ions
in h ee egions – p ehea ing ahead o he on , he on head
wi h maximum empe a u e, and he hea e en ion a e he
on passes. All h ee egions we e signi ican ly a ec ed by he
p esence o pa icles. The p esen ed esul s se up basic na a-
i es o he design and implemen a ion o nanopa icles in o
he on ally polyme ized oams.
2. Ma e ials and me hods
Ma e ials
The basic FP o mula ion used in his s udy is a pa en ed
echnology o he BASF company and he Uni e si y o Massa-
chuse s Amhe s . The main componen s we e he 3,4-epoxy-
cyclohexylme hyl 3,4-epoxycyclohexaneca boxyla e (ECC, Sigma
Ald ich, Ge many) and bisphenol A diglycidyl e he (DGEBA,
Olin Epoxy, USA) monome s in he a io o 60 : 40. I u he
con ained 2.5% o he p-(oc yloxyphenyl)phenyliodonium hexa-
luo oan imona e (IOC, Geles , USA) pho oini ia o , 2.5% o he
1,1,2,2- e aphenyl-1,2-e hanediol (Sigma Ald ich, Ge many),
0.5% o he azodica bonamide based RAZ-P oaming agen
(Reedy Chemicals, USA), and 1% o he DC-193 s abilize
(Dow Silicon, USA). The 3% IOC and 70 : 30 ECC : DGEBA
samples we e a ied om he basic FP o mula ion by adjus ing
he IOC concen a ion and he monome a io, espec i ely.
Silica pa icles wi h an a e age size o 14 nm and 200–300 nm
we e supplied om Sigma Ald ich (Ge many) and used as
ob ained.
Sample p epa a ion
All componen s o he FP o mula ion we e mixed and s i ed
o 1 hou a 60 1C. Pa icles we e hen added and homogenized
wi h a B anson Soni ie 450 (USA) o 4 minu es a 20% du y
cycle and he powe se o 6. The o mula ion was pou ed in o a
2200 p e-cu ubbe mold placed on a PTFE shee and
ini ia ed by a ho solde ing i on (Welle WP 80, 80 W, 24 V,
se poin 250 1C). The on p opaga ed in he ho izon al di ec-
ion wi h no uppe bounda y.
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Cha ac e iza ion
The oam densi y was measu ed using wa e as a wo king
medium wi h a pycnome e . The eac ion en halpy was
measu ed by a DSC Q200 (TA Ins umen s, USA) in he me ic
pans a a hea ing amp o 10 1Cmin
1
. Modula ed DSC
(M-DSC) was pe o med wi h he same ins umen a he
hea ing amp o 2 1Cmin
1
, modula ion ampli ude o 0.5 1C,
and a pe iod o 60 s. The ille concen a ion was e alua ed
by TGA (Q50, TA Ins umen s, USA) om he esidual weigh
a e a 10 minu e hold a 700 1C. The esul s we e co ec ed
on he un illed o mula ion’s esidual weigh o 0.48%.
Magellan 400 (FEI, Czech Republic) collec ed he SEM images
using a seconda y elec on de ec o on gold-coa ed samples
a he accele a ion ol age o 2 kV.
The mal imaging was pe o med wi h a FLIR A325sc
he mal came a on a on p opaga ing h ough a 1 500
mold. The maximum empe a u e and empe a u e p o iles
we e analyzed using he FLIR ools OEM so wa e. The
p ehea ing and cooling a e was e alua ed by a linea i o
7 diffe en spo s in he ange o 37.5–100 1Cand401C
beyond he on empe a u e, espec i ely. F on eloci y
was calcula ed om he peak empe a u e ime and he
known dis ance o he selec ed poin s.
3. Resul s and discussion
The oam densi y is a basic p ope y ha can be ela ed o he
enginee ing p ope ies o he oam h ough mic omechanics as
well as o he physical p ope ies. These will be discussed in a
sepa a e publica ion, and i is no he ocus o he cu en
in es iga ion. Fo he model sys em p esen ed he ein, i was
es ablished as 0.569 g cm
3
(Fig. 1). These FP oams ea u e a
ough skin laye nea he bounda ies wi h a ela i ely smoo h
su ace on op and he skin laye oughness on he bo om
being a unc ion o he subs a e he oam is gene a ed on. In
con as , he ac ual densi y o he oamed co e is much lowe .
Adding silica pa icles isibly hinde s he on p opaga ion
and inc eases he densi y o he oams. 1 ol% o he 14 nm
silica nanopa icles slow he eac ion o he poin ha he on
canno o m a labo a o y empe a u e. Only a iny a ea nea
he ho ip is cu ed (Fig. S1, ESI†). In his case, he on al
egime can only be achie ed by p ehea ing he o mula ion in
an o en o 60 1C be o e he ini ia ion. These esul s con adic
Da yan’s conclusions ha nanopa icles ha e negligible
impac on he on p opaga ion.
17
Two s a egies a e employed o b ing he illed oams’
densi ies down o he le el o he basic o mula ion. Fi s ly,
he eac ion a e is enhanced by inc easing he IOC ini ia o
Fig. 1 F on ally polyme ized oams. SEM images o he po osi y in pa allel ( op igh ) and pe pendicula (middle igh ) di ec ions espec i e o he on
p opaga ion. The densi y o he selec ed samples measu ed by a pycnome e (middle le ). Images o he p opaga ing on in ime (bo om).
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concen a ion om 2.5 o 3%, assuming ha he o al eac ion
en halpy emains nea ly unchanged hanks o he high mono-
me con e sions achie ed by on al polyme iza ion.
3
Secondly,
he eac ion en halpy is boos ed by adjus ing he monome
a io om 60 : 40 o 70 : 30 ECC : DGEBA. We no e ha he
densi ies o un illed oams also dec ease in bo h cases (Fig. 1).
The c i ical pa ame e o all FP chemis ies is main aining
he on ’s en halpic balance. Thus, he eac ion en halpies a e
measu ed by DSC (Fig. S3 le , ESI†). An en i e DSC cu e o he
s anda d FP oam o mula ion is displayed in Fig. S3 (ESI†)
igh . I was p e iously epo ed ha he eac ion en halpy
iola es he simple ule o mix u e.
2
Ins ead, he mix u e
p ope ies a e p edic ed o lie be ween an uppe bound de ined
by he weigh ed a i hme ic mean (WAM) and a lowe bound
based on each componen ’s weigh ed ha monic mean (WHM).
2
Mo eo e , he empe a u e amp es and he small eac ion
olume used o his measu emen migh no cap u e he
on al condi ions, ye we assume ha he eac ion en halpies
scale acco dingly. None heless, he en halpy eco ded o he
70 : 30 ECC:DGEBA sample (508 J g
1
) is nea ly iden ical o he
basic o mula ion (516 J g
1
) while he 3% IOC has e en lowe
alue (486 J g
1
, Fig. S3 le , ESI†). In e es ingly, his end is
discon inued in he samples illed wi h 0.1% o 200–300 nm
umed silica. Ins ead, hei en halpies scale in he o de Basic
o mula ion (437 J g
1
)o3% IOC (477 J g
1
)E70 : 30 ECC :
DGEBA (469 J g
1
), co esponding well o hei densi ies
(Fig. 1).
While hese esul s appea con using, he e a e se e al
p ocesses going on simul aneously, which he s anda d DSC
canno dis inguish. Mo eo e , he baseline o he hea low
cu e shi s as he hea capaci y changes h oughou he eac-
ion. On he o he hand, a modula ed DSC (M-DSC) can
sepa a e he con ibu ions o e e sible and i e e sible en hal-
pies (Fig. 2). Repea ing he es se e al imes while omi ing
a ying componen s o he o mula ion iden i ies he indi i-
dual peaks (Fig. S2, ESI†). The h ee mos p onounced p o-
cesses a e associa ed wi h he ECC and DGEBA polyme iza ion,
which shall be ea ed sepa a ely,
29
and he decomposi ion o
he oaming agen (Fig. 2). Glass ansi ion, ECC e apo a ion
peak, and he changes in hea capaci y h oughou he eac ion
(Fig. 2) a e ecognized in he much weake e e sible hea low
signal.
Polyme iza ion is he i s p ocess s a ing a he lowes
empe a u e (a ound 80 1C). The glass ansi ion, which ollows
a 97 1C o he s anda d o mula ion, is expec ed in his ange
o an epoxy esin.
30
An i e e sible exo he mic peak o oaming
appea s wi h a maximum a 116.9 1C. Finally, he ligh e and
mo e eac i e ECC monome ceases eac ion a oughly 160 1C,
while he hea ie and less eac i e DGEBA monome eac s
un il oughly 220 1C. The esul s co ela e well wi h he
expec a ion ha he hea ie monome ’s eac ion is slowe han
he ligh e one’s.
29
The e e sible en halpy peak a 116.3 1Cis
a ibu ed o he ECC e apo a ion (boiling poin 170 1C)
because i is s ill p esen e en in he absence o he oaming
agen . Ye , i is p obably no coincidence ha his peak aligns
nea he maximum o he highly exo he mic oaming (Fig. 2).
Fu he expe imen s a e pe o med wi h he 3% IOC sample
because he s anda d o mula ion canno on ally polyme ize
in he p esence o pa icles a he es ed bounda y condi ions.
Adding 1 ol% o 14 nm silica nanopa icles is a ep esen a i e
example p obing he effec o illing. The eco ded en halpies
( o al, e e sible, i e e sible), glass ansi ion, and hea capa-
ci y a 50 1C o bo h samples a e lis ed in Table S1 (ESI†). The
esul s a e qui e sensi i e o he p ecise composi ion and he
monome a io, which is affec ed by he ECC e apo a ion upon
p ocessing. The e o e, he illed and un illed samples a e
p epa ed om a single ba ch and p ocessed oge he o achie e
high p ecision. No ably, he un illed o mula ion is also ul a-
sonica ed, al hough i has no p ac ical meaning beyond main-
aining he same p ocessing condi ions. Silica nanopa icles
sligh ly in luence he i e e sible en halpy (Fig. S4 le , ESI†).
The eco ded change o 18.7 J g
1
ep esen s a dec ease o
3.1%, exceeding he expec a ion based on he simple olume
eplacemen (Table S1, ESI†). While he onse o polyme iza ion
is sligh ly hinde ed, he exo he mic oaming peak is mo e
p onounced (Fig. S4 le , ESI†). A possible explana ion is he
nanopa icle’s capabili y o ca alyze he decomposi ion o he
oaming agen ,
31
bu i could also inc ease due o he delayed
cu ing.
32
The inal pa o he ECC and DGEBA eac ions a e
p ac ically independen o he illing (Fig. S4 le , ESI†).
The T
g
o he 3% IOC is obse ed a a lowe empe a u e
(95 1C, Fig. S4 igh , ESI†) han in he s anda d o mula ion
(97 1C, Fig. 2) due o i s as e cu ing. The illing was indiffe en
o T
g
wi hin he expe imen al e o , keeping he alue o 95 1C
( he de ice’s empe a u e accu acy is 0.05 1C and he em-
pe a u e p ecision is 0.1 1C). The peak a ibu ed o ECC
e apo a ion is also p onounced by adding nanopa icles
(Fig. S4 igh , ESI†), p esumably due o he pa icle nuclea ion
effec , which eases he monome e apo a ion. None heless, he
mos p onounced diffe ence is he shi o he illed sample’s
baseline owa ds highe (less nega i e) le els o he e e sible
hea low (Fig. S4 igh , ESI†). The baseline ep esen s he hea
Fig. 2 To al, e e sible, and i e e sible hea low cu e o he FP o -
mula ion ob ained by he modula ed DSC. The inse shows an enla ged
de ail o he e e sible hea low in he ange o he eac ion.
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consumed by he sample’s hea ing and di ec ly co esponds o
i s hea capaci y. The upshi mani es s a d op in he hea
capaci y o he illed sample om 1.927 J g
1
K
1
(measu ed a
50 1C) o 1.775 J g
1
K
1
, because i equi es less en halpy o
hea ing. Silica and o he oxidic nanopa icles adhe e well o
hyd ophilic ma ices,
33
leading o he well-known nano ein o -
cemen effec ,
23
inc eased iscosi y,
34
and he s iffening o he
o mula ion. In u n, a lowe hea capaci y is gene ally expec ed
om a mo e solid-like ma e ial due o he supp essed inne
mo ion. None heless, i is essen ial o highligh ha he lowe
hea capaci y ully compensa es he losses in cu ing en halpy
caused by he olume eplacemen . This p inciple may explain
he p e iously epo ed ze o effec o nanopa icle addi i es on
on al polyme iza ion a low pa icle concen a ions.
17
The in eg al hea cu es, i.e., he hea cu es in eg a ed o e
he empe a u e (Fig. 3), clea ly documen his phenomenon.
The p ocess s a s wi h a hea consump ion equi ed o he
ini ial hea -up, and he end only u ns upwa ds o become
exo he mic a he eac ion onse (92.7 and 90.7 1C o he illed
and un illed samples, espec i ely). The eac ion en halpy con-
ibu es he same hea as equi ed o he ini ial hea ing phase
a a ound 110 1C. This poin ma ks he minimum empe a u e
which mus be heo e ically eached by he on ’s head o
sus ain he on . Though, he hea e en ion and losses push
his poin o highe empe a u es in eal samples. None heless,
he eac ion con inues un il he maximum excess hea is
ob ained nea he empe a u e whe e he ECC s ops eac ing
wi h a dis inc shoulde a ound he oaming empe a u e
(Fig. 3). Finally, he hea consump ion phase is eco e ed when
he eac ion en halpy is (nea ly) exhaus ed.
The in eg al cu es o he illed and un illed samples a e
nea ly iden ical up o app ox. 125 1C, while a disc epancy
de elops abo e his empe a u e (Fig. 3). The illed o mula ion
e ol es mo e excess hea pe uni weigh , which could be
dis ibu ed in o he neighbo ing a eas o p opaga e he on .
The impo ance o he lowe ed hea capaci y is supe io o he
educed eac ion en halpy (Table S1, ESI†). I is unclea how
much his conclusion ela es o his speci ic case and could be
gene alized o o he nano- illed FP o mula ions. None heless,
he esul s seemingly disapp o e ou ini ial obse a ion ha
nanopa icles hinde he on p opaga ion while suppo ing
he conclusion o Da yan, e al.
17
An appa en d awback o he
low en halpy-low capaci y case is i s highe sensi i i y o bounda y
condi ions. The bounda ies ake away he same amoun o hea
(a a gi en empe a u e), ye he illed o mula ion mus dona e i
by eac ing la ge mass/ olume han he un illed one. Ne e -
heless, a po en ial explana ion o he obse ed diffe ence may
be ound in he cu ing kine ics. F ee- adical polyme iza ion o
ac ylics, used by Da yan, e al.,
17
gene ally p o ide a as e cu ing
eac ion han ca a onically polyme ized epoxies used in his s udy.
Mo eo e , Da yan, e al. used a simple on al polyme iza ion,
bu he azodica bonamide oaming agen decomposi ion may
also in e ac wi h he nanopa icles.
31
Indeed, ou u he e i-
dence sugges s ha he hind ance effec should be ela ed o
kine ics a he han he modynamics, as ini ially assumed.
The kine ics a e assessed by he mal imaging o he p opa-
ga ing on o e a dis ance o 500 . The maximum empe a u e
sensed by he came a in he whole he mal image (Fig. 4 le )
and empe a u e p o iles a se e al ixed poin s (Fig. 4 igh ) a e
e alua ed. The peak empe a u e imes o he indi idual
poin s a e combined wi h hei known dis ance o ob ain he
on eloci y (Fig. S6 le , ESI†). The mal imaging con i ms
he subjec i e obse a ion o pa icles slowing down he p o-
paga ing on . Bo h samples illed wi h 1 ol% o silica
yield a simila d op in on eloci y. I alls by 25–28% om
3.2 mm s
1
o he un illed o mula ion o 2.3 and 2.4 mm s
1
o 14 nm and 200–300 nm pa icles, espec i ely. Polyme -
adso bing pa icles con ibu e o he physical c oss-linking.
35
Highe c oss-linking densi y slows down he di usion and,
hus, he on p opaga ion.
2
Howe e , scaling wi h he pa icle
size and su ace a ea would be expec ed in such a case, which
con adic s he cu en esul s.
The on empe a u e (Fig. S6 igh , ESI†) is calcula ed om
he a e age maximum empe a u e eco ded by he he mal
came a a he s eady on p opaga ion phase (Fig. 4 le ). We
no e ha he spa ial esolu ion o he mal imaging is insuffi-
cien o e alua e he empe a u e o indi idual pa icles. Mo e-
o e , no o he echnique known o au ho s is a ailable o
moni o empe a u e p o iles a nanoscale p ecision inside
he o mula ion du ing he eac ion. The e o e, no local em-
pe a u e a ia ion nea he silica su ace was conside ed. The
on head o he 3% IOC o mula ion aises he empe a u e
om ambien condi ions (B18 1C) o he maximum o 253.9 1C
in abou 6–7 s. Silica educes he on empe a u e o 236.7 and
238.6 1Cmms
1
o 14 nm and 200–300 nm pa icles, espec-
i ely (Fig. S6 igh , ESI†). The d op by 17.2/15.3 1C co esponds
o oughly 7% o he o al empe a u e change expe ienced a
he on head (B234 1C).
The eco ded on empe a u es misma ch he expec a ion
based on he M-DSC measu emen (Fig. 3), whe e he illed
samples p oduce la ge excess en halpy. This obse a ion
migh be pa ially ela ed o he M-DSC expe imen al se up,
which alls ou o he FP condi ions, and he hea dis ibu ion
a ound he on , as ou u he esul s sugges .
Fig. 3 In eg al cu es compa ing he hea consump ion and e olu ion o
he FP o mula ions as a unc ion o empe a u e.
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The ini ial hea ing a e ahead o he on (Fig. S7 le , ESI†)
is e alua ed in he ange o 37.5–100 1C acco ding o he M-DSC
esul s (Fig. 3). While he un illed o mula ion hea s up a he
a e o 86.6 1Cs
1
, he silica- illed samples show he a e o 48.1
and 53.3 1Cs
1
o he 14 nm and 200–300 nm pa icles,
espec i ely. This a ia ion by 44.5/38.5% exceeds he simple
expec a ion based on he di e en on eloci ies whe e he
change caused by pa icles is only 25–28% (Fig. S6 le , ESI†). I
sugges s ha he silica- illed o mula ions s a o p ehea
u he ahead o he on , hus, hea ing a la ge olume while
consuming mo e hea om he on head.
The pos -cu ing cu es a e i ed wi h a linea eg ession a
40 1C beyond he peak empe a u e (Fig. S7 igh , ESI†). This
app oach migh be a li le o e simplis ic, ye i p o ides a
single-pa ame e cha ac e is ic ha could be easily used o
compa e diffe en samples. The 3% IOC, 1 ol% silica 14 nm,
and 1 ol% silica 200–300 nm samples’ cooling a es a e 4.2,
2.2, and 2.4 1Cs
1
, espec i ely. Hence, he slowe cooling a e
o he illed o mula ions u he es ains he on head om
he hea supply since i is mo e e ained behind he on .
Finally, we es ed whe he he shea g adien a he on
head could push pa icles. This could inc ease he pa icles’
local concen a ion ahead o he on and magni y he pa icle-
induced effec s. The e o e, se e al specimens collec ed om
si es o an FP sample a a ying dis ances om he ini ia ion
poin a e es ed by TGA (Fig. S7, ESI†). The esidual weigh s a e
co ec ed by he esidual weigh o un illed ma ix e e ence
and ecalcula ed o olume a ios acco ding o he silica
densi y. No signi ican a ia ion in pa icle concen a ion is
ound o ei he 14 nm o 200–300 nm pa icles, sugges ing no
such e ec aking place ega dless o he pa icle size (Fig. S7,
ESI†).
4. Conclusion
Adding pa icles o a FP o mula ion may equi e adjus men s
o main ain he on al egime o polyme iza ion. Ei he he
o mula ion could be p ehea ed be o e he ini ia ion, he eac-
ion a e can be accele a ed by adding mo e ini ia o , o he
eac ion en halpy migh be inc eased by adjus ing he mono-
me composi ion. The lowe eac ion en halpy o he illed
samples is coun e ed by hei educed hea capaci y, leading
o a g ea e excess en halpy as eco ded by modula ed DSC. On
he o he hand, he mal imaging e eals slowe p ehea ing,
on p opaga ion, and cooling a es o he illed o mula ions.
I sugges s ha he excess ene gy sp ead in o a la ge a ea/
olume ahead o he on while mo e hea is e ained
behind i .
These esul s ollow he same end as he change in on
empe a u e and eloci y, ye he a e a ied by a diffe en
ela i e a io han he o he p ope ies. I sugges s ha he
on eloci y is no he only con ibu ion o he o he changes.
Finally, he on capabili y o push pa icles was es ed wi h no
e idence o such beha io . The cu en esul s se up essen ial
na a i es o he design and p ac ical applica ions o on ally
polyme ized oams wi h non- eac i e ille s. Fu he wo k shall
ocus on he aniso opic p ope ies o hese ma e ials and he
mo phological changes caused by he pa icula ille s.
Fig. 4 Maximum empe a u e ( op le ) and empe a u e p o iles o he nea un illed 3% IOC sample a selec ed ixed poin s ( op igh ) o he on al
polyme iza ion eco de by he mal imaging (bo om). Tempe a u e p o iles o he illed samples can be ound in Fig. S5 (ESI†).
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Con lic s o in e es
A pa en WO 2022/087097 A1 owned by BASF company and he
Uni e si y o Massachuse s Amhe s p o ec s he basic FP
oam o mula ion.
Acknowledgemen s
This wo k was suppo ed by he F on al Polyme iza ion o
Mic ocellula Foams (NORA) p ojec suppo ed by BASF com-
pany h ough he No heas Resea ch Alliance (NORA).
P. Lepcio acknowledges he GF21-43070L p ojec suppo ed
by GA C
ˇR.
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