Peter Olsén1, Jenny Undin1, Karin Odelius1, Helmut Keul2, Ann-Christine Albertsson1. 1. Department of Fibre and Polymer Technology, KTH Royal Institute of Technology , SE-100 44, Stockholm, Sweden. 2. Institute of Technical and Macromolecular Chemistry, RWTH Aachen University and DWI-Leibniz Institute for Interactive Materials , Forckenbeckstrasse 50, 52056 Aachen, Germany.
Abstract
Full control over the ceiling temperature (Tc) enables a selective transition between the monomeric and polymeric state. This is exemplified by the conversion of the monomer 2-allyloxymethyl-2-ethyl-trimethylene carbonate (AOMEC) to poly(AOMEC) and back to AOMEC within 10 h by controlling the reaction from conditions that favor ring-opening polymerization (Tc > T0) (where T0 is the reaction temperature) to conditions that favor ring-closing depolymerization (Tc < T0). The ring-closing depolymerization (RCDP) mirrors the polymerization behavior with a clear relation between the monomer concentration and the molecular weight of the polymer, indicating that RCDP occurs at the chain end. The Tc of the polymerization system is highly dependent on the nature of the solvent, for example, in toluene, the Tc of AOMEC is 234 °C and in acetonitrile Tc = 142 °C at the same initial monomer concentration of 2 M. The control over the monomer to polymer equilibrium sets new standards for the selective degradation of polymers, the controlled release of active components, monomer synthesis and material recycling. In particular, the knowledge of the monomer to polymer equilibrium of polymers in solution under selected environmental conditions is of paramount importance for in vivo applications, where the polymer chain is subjected to both high dilution and a high polarity medium in the presence of catalysts, that is, very different conditions from which the polymer was formed.
Full control over the ceiling temperature (Tc) enables a selective transition between the monomeric and polymeric state. This is exemplified by the conversion of the monomer 2-allyloxymethyl-2-ethyl-trimethylene carbonate (AOMEC) to poly(AOMEC) and back to AOMEC within 10 h by controlling the reaction from conditions that favor ring-opening polymerization (Tc > T0) (where T0 is the reaction temperature) to conditions that favor ring-closing depolymerization (Tc < T0). The ring-closing depolymerization (RCDP) mirrors the polymerization behavior with a clear relation between the monomer concentration and the molecular weight of the polymer, indicating that RCDP occurs at the chain end. The Tc of the polymerization system is highly dependent on the nature of the solvent, for example, in toluene, the Tc of AOMEC is 234 °C and in acetonitrileTc = 142 °C at the same initial monomer concentration of 2 M. The control over the monomer to polymer equilibrium sets new standards for the selective degradation of polymers, the controlled release of active components, monomer synthesis and material recycling. In particular, the knowledge of the monomer to polymer equilibrium of polymers in solution under selected environmental conditions is of paramount importance for in vivo applications, where the polymer chain is subjected to both high dilution and a high polarity medium in the presence of catalysts, that is, very different conditions from which the polymer was formed.
The assumption of an
increasing future demand for more refined
polymeric materials with niche properties for niche applications cannot
be easily refuted.[1,2] The trend is not only to construct
polymers in a controlled manner but also to equip the polymer chain
with functions. Functions predesigned into the monomeric structure
or generated via a postpolymerization modification that targets a
specific site or performs an exquisite task in vivo or in natura,
resulting in a desired macroscopic change.[3,4] In
other words, we aim to achieve, via synthesis, the specificity of
biological systems.One highlighted group of materials for a
diverse set of applications,
especially in the biomedical arena, are degradable aliphatic polymers
with repeating units of either ester or carbonate groups.[5−7] These polymers, which are most often obtained by ring-opening polymerization
of the respective cyclic monomers, allow, through different addition
schemes or inherent reactivity behavior, the construction of refined
macromolecular architectural features.[8−10] This enables control
of many polymer properties, such as degradation,[11−13] mechanical
performance,[11,14] and the placement of functional
groups along the polymer chain.[15,16]A particular
class of monomers/polymers that has evoked strong
interest and shown high potential for a diverse set of applications
is the substituted cyclic six-membered carbonates and the corresponding
polycarbonates.[17−20] Their potential lies in the abundance of a large variety of 1,3-propane
diols that are selectively substituted at the 2-position with residues
carrying functional handles, such as hydroxyl and carboxyl groups,
that are subsequently easily derivatized.[21−27] Together with recent advances in organocatalyzed ROP, these monomers/polymers
have opened the possibility to construct highly refined functional
polycarbonate materials at high rates, at ambient temperatures and
with few side reactions.[28−33]Additionally, a factor immensely important but alluring the
lime-light
is the favorable thermodynamic equilibrium polymerization behavior
of six-membered cyclic carbonates. Cyclic six-membered carbonates,
even though heavily substituted, possess good equilibrium polymerization
behavior, that is, favorable thermodynamics of polymerization,[34−36] compared to the cyclic ester analogs.[37−40] The thermodynamic description
of polymerization was first discussed in the seminal paper by Dainton
and Ivin in the late 1940s, where they coined the expression “the
ceiling temperature (Tc) of polymerization”.[41] In addition to being indicative of the highest
temperature at which conversion of the monomer can be achieved, the
ceiling temperature (Tc) is a measure
of the propensity of the monomer to undergo polymerization. Tc is independent of the catalytic system used
but dependent on the monomer concentration, and there are indications
in the literature that suggest very different polymerization behavior
in different surrounding media, even at the same concentration,[38,42,43] especially for the cationic polymerization
of THF.[44,45] A specific understanding of how the monomer–polymer
equilibrium is altered as a function of the reaction medium may be
regarded as a black box, but it is highly important for the behavior
of the polymer chain in real applications.Our hypothesis is
that the monomer–polymer equilibrium is
dictated by the current state of the system. Our aim is to tailor
the thermodynamic equilibrium by changing the surrounding reaction
conditions. This will enable a reversible transition between the monomeric
and polymeric states in the system. If successful, this process would
enable both predesigned control of polymerization as well as a means
to fine-tune the final behavior of the polymeric system in different
environments, aspects that are highly important not only in the biomedical
arena but also in the recycling of polycarbonates and polyesters.[46,47]To explore this, the same monomer, 2-allyloxymethyl-2-ethyl-trimethylene
carbonate (AOMEC), is polymerized in very different surroundings by
varying the solvent type, temperature, and monomer concentration.
We have centered our investigation on the perspective of the thermodynamics
of ring-opening polymerization. The equilibrium polymerization behavior
of AOMEC is thermodynamically intermediate, meaning that the equilibrium
should be easily disturbed by changing the surrounding environment,
such as the temperature, solvent type, and concentration.[48]
Experimental Section
Materials
Hexanediol (Sigma-Aldrich, Sweden) and 1,8-diazabicyclo[5.4.0]undec-7-ene
(DBU) (Sigma-Aldrich, Sweden) were stored under an inert gas atmosphere
prior to use. Chloroform (HPLC grade, Fisher Scientific, Germany),
methanol (general purpose grade, Fisher Scientific, Germany), dichloromethane
(anhydrous, ≥ 99.8%, Sigma-Aldrich), toluene (anhydrous, ≥
99.8%, Sigma-Aldrich), acetonitrile (anhydrous, ≥ 99.8%, Sigma-Aldrich),
dichloromethane (DCM) (Fisher Scientific, Germany), sodium hydride
(NaH) (60% dispersion in mineral oil, Sigma-Aldrich, Sweden), diethyl
carbonate (99%, Sigma-Aldrich, Sweden), trimethylolpropane allyl ether
(98%, Sigma-Aldrich, Sweden), acetic acid (technical grade, Fisher
Scientific, Germany), and acetic acid anhydride (ReagentPlus, ≥
99%, Sigma-Aldrich, Sweden) were used as received.
Synthesis of
2-Allyloxymethyl-2-ethyl-trimethylene Carbonate
(AOMEC)
The monomer was synthesized via ring-closing depolymerization
according to a previously reported protocol,[36,49] along with a consecutive distillation step with the addition of
acetic anhydride (0.1 eq. to AOMEC) and triethylamine (0.1 eq. to
AOMEC) to ensure that the residual hydroxyl groups were capped.
Polymerization of AOMEC
General Preparation and Polymerization Setup
All reaction
vessels were equipped with a magnetic stirrer and were dried in an
oven at 150 °C for 48 h, followed by further drying with a heating
gun and three consecutive vacuum/N2(g)
cycles. All reactants were weighed under an inert gas atmosphere (N2) in a glovebox (Mbraun MB 150-GI). All reactions were stirred
at a constant temperature that was maintained (±2 °C) using
an IKAMAG RCT basic safety thermostat. At different time intervals,
samples were taken and analyzed by 1H NMR spectroscopy
and size exclusion chromatography (SEC). Samples (0.1 mL, 0.6 mmol)
were withdrawn from the reaction vessel using disposable syringes
followed by termination with a solution of acetic acid (0.05 mL, 0.88
mmol) in dichloromethane (DCM, 1 mL).
Bulk Polymerization of
AOMEC
AOMEC (1 g, 5 mmol) was
weighed inside a glovebox into a dry 25 mL two-necked round-bottom
flask, followed by the addition of the catalyst DBU (0.038 mL, 0.25
mmol) and polymerization at the selected temperatures.
Solution
Polymerization of AOMEC
First, a stock solution
containing 0.25 mmol DBU per ml of the selected solvent (toluene or
acetonitrile) was prepared. Then, AOMEC (1 g, 5 mmol) was weighed
inside a glovebox into a dry 25 mL two-necked round-bottom flask.
To the reaction mixture, 1 mL of the stock solution and a prespecified
amount of solvent were added. For more details of the polymerization
setup, see general preparations and polymerization setup and Supporting Information Tables S1, S2 and S3.
Additionally, for information regarding the instruments see Supporting Information.
Results and Discussion
The ability of a monomer to polymerize is highly dependent under
which conditions the synthesis is performed. Parameters such as temperature,
concentration, and perhaps even surrounding solvent dictate the final
outcome of the polymerization and shift the equilibrium concentration
between monomer and polymer.[50,51] Understanding how the
equilibrium is influenced by external factors is immensely important
during polymer synthesis and monomer synthesis but also for the final
application of the envisioned polymeric material. The relationship
between the enthalpy and entropy change, Δp and Δp, in the system, the monomer concentration, and temperature
is summarized by the Daiton–Ivin equation, eq (T = Tc), which states the ceiling temperature (Tc) of polymerization decreases with decreased
initial monomer concentration.[52] However,
the influence of the solvent polarity on the enthalpy and entropy
changes in the system with dilution, which may play a crucial role
for the equilibrium state of the polymer, is omitted.
Influence of the Initial Monomer Concentration
on Its Equilibrium
Concentration
In the first paper on anionic ring-opening
polymerization of cyclic carbonates with a lithium alcoholate as the
initiator, it was observed that in the thermodynamic regime of the
polymerization, a ring–chain equilibrium is established, which
is dependent on the monomer concentration, temperature, and nature
of the solvent.[42] However, no quantitative,
systematic investigation of the phenomenon was performed. Recent reports
on the polymerization of substituted trimethylene carbonates in dichloromethane
(DCM) catalyzed by organocatalysts, that is, 1,8-diazabicyclo[5.4.0]undec-7-ene
(DBU), resulted in the respective polymer under mild condition in
the absence of side reactions; low to no degree of decarboxylation
was observed.[7] Although, likewise to the
first paper a clear ring–chain equilibrium is established.
Specifically, polymerization of TMC catalyzed by DBU has been reported
to reach 99% monomer conversion at equilibrium after 40 h in 2 M DCM
at ambient temperature.[53] However, when
the TMC monomer was substituted with a triethylene glycol chain at
the 2-position and the polymerization was performed under more dilute
conditions (0.8 M DCM) with the same DBU catalyst, the polymerization
reached an equilibrium point of 70% conversion after 8 h at ambient
temperature.[54]Inspired by these
results, the first experiments on ring-opening polymerization of AOMEC
were performed in dichloromethane (DCM) with different initial monomer
concentrations using hexamethylenediol as initiator and 1,8-diazabicyclo[5.4.0]undec-7-ene
(DBU) as catalyst for 72 h (to reach equilibrium) at 30 °C (Scheme ).
Scheme 1
Polymerization of
AOMEC ([M]) with Hexanediol ([I]) as the
Initiator Catalyzed with DBU ([C]),
[M]/[I]/[C] = [100]:[1]:[5]
at Different Concentrations Ranging from 0.125 to 4 M in DCM
As observed from Figure , with increasing initial monomer
concentration ([AOMEC]0), the monomer concentration at
equilibrium ([AOMEC]eq) decreases: [AOMEC]0 =
0.5 M ⇒ [AOMEC]eq = 66%, [AOMEC]0 = 1
M ⇒ [AOMEC]eq =
38%, [AOMEC]0 = 2 M ⇒ [AOMEC]eq = 10%,
that is, the final concentration of the repeating units in the polymer
increases. Hence, the carbonate monomer AOMEC, exhibits a ceiling
temperature of Tc = 30 °C in DCM
at an initial monomer concentration of 0.125 M (Supporting Information Table S1 and Figure ).
Figure 1
Equilibrium monomer conversion as a function
of the initial monomer
concentration for the polymerization of AOMEC ([M]) with
hexanediol ([I]) as initiator and DBU as catalyst ([C]). [M]/[I]/[C] =
[100]:[1]:[5] in DCM at 30 °C and ambient pressure.
Equilibrium monomer conversion as a function
of the initial monomer
concentration for the polymerization of AOMEC ([M]) with
hexanediol ([I]) as initiator and DBU as catalyst ([C]). [M]/[I]/[C] =
[100]:[1]:[5] in DCM at 30 °C and ambient pressure.The initial monomer concentration plays a crucial
role in the concentration
of AOMEC at equilibrium. However, the contribution of the enthalpy
(Δp) and entropy
(Δp) of polymerization
in conjunction with the reaction environment remains unknown, that
is, when the system is diluted, is this purely an entropic effect
or is the ring strain influenced by other factors, such as the polarity
of the medium.
Polymerization Thermodynamics in Different
Environments
The influence of the reaction medium on the
thermodynamics of the
polymerization was determined by analyzing the influence of the initial
monomer concentration, temperature and solvents with different polarity
on the change in the monomer–polymer equilibrium and consequently
on the enthalpy (Δp) and entropy (Δp) of polymerization and the ceiling temperature (Tc). The requirements for the choice of solvents are (i)
a reasonably high boiling point combined with a reasonably high vapor
pressure to ensure easy removal of the solvent; (ii) a solvent that
is unable to initiate polymerization or deactivate the catalyst, meaning
that it is inert under the polymerization conditions; and (iii) solvents
with very different polarities. The two selected solvents that fulfill
these criteria are toluene (PhMe with a boiling point of 111 °C
and a relative polarity to water of 0.10 and acetonitrile (MeCN) with
a boiling point of 82 °C and a relative polarity to water of
0.46.The polymerization of AOMEC was performed with 5 mol %
DBU (relative to the initial monomer concentration) as catalyst at
different temperatures accompanied by the evaluation of the kinetic
behavior to ensure that equilibrium conversion was reached (Scheme and Supporting Information Tables S2–S4 and
Figures S1–S16).
Scheme 2
Polymerization of AOMEC in PhMe and in MeCN
with 5 mol % DBU (Relative
to the Initial Monomer Concentration) as Catalyst Using Different
Initial Monomer Concentrations and Polymerization Temperatures: Evaluation
of the Equilibrium Conversion
The thermodynamic equilibrium polymerization of bulk AOMEC
([AOMEC]0 = 6 M) revealed similar thermodynamic parameters
as found
by Endo et al.[55] for 2,2-disubstituted
trimethylene carbonates. According to Dainton’s eq , the values obtained for [AOMEC]0 = 6 M are ΔH = −3.6 kJ mol–1 and ΔS = −6.9 mol–1 K–1 J (with a corresponding ceiling temperature
of Tc = 247 °C (Figure ). Compared to the more thoroughly
studied lactones, the ceiling temperature of this monomer is between
that of ε-caprolactone and δ-valerolactone.[48] This result likely originates from the higher
ring strain in a six-membered cyclic carbonate monomer than in a lactone
with the same ring size.[56,57]
Figure 2
Thermodynamic equilibrium
polymerization of bulk AOMEC (6 M) with
hexanediol as initiator and DBU as catalyst at different temperatures: R ln(m/m0) = ΔHp/T – ΔSp. The intercept is used to calculate the ΔSp, and the slope of the line gives ΔHp. The ratio ΔHp/ΔSp= Tc.
Thermodynamic equilibrium
polymerization of bulk AOMEC (6 M) with
hexanediol as initiator and DBU as catalyst at different temperatures: R ln(m/m0) = ΔHp/T – ΔSp. The intercept is used to calculate the ΔSp, and the slope of the line gives ΔHp. The ratio ΔHp/ΔSp= Tc.The bulk thermodynamic equilibrium polymerization
occurs at an
initial monomer concentration of 6 M, Figure and Table ). Furthermore, AOMEC was polymerized in toluene at
2, 1, 0.5, and 0.25 M at 30, 60, 75, and 90 °C for each concentration
and in acetonitrile at 2, 1, 0.5, and 0.25 M at 30, 45, , and 75 °C
for each concentration. Tables S2–S4 present the experimental details for these experiments, and Supporting Information Figures S1–S16
display the results.
Table 1
Thermodynamic Data
for the Polymerization
of AOMEC in PhMe and MeCN at Different Concentrations
entry
solvent
C [mol L-1]
temp [°C]
ΔHp [kJ mol-1]
ΔSp [J mol-1 K-1]
Tc [°C]
1
bulk
6 M
30 → 200
–3.6 ± 0.006
–6.9 ± 0.28
247
2
toluene
2 M
30 → 90
–11.1 ± 0.026
–21.9 ± 1.5
234
3
toluene
1 M
30 → 90
–22.0 ± 0.048
–46.6 ± 2.6
199
4
toluene
0.5 M
30 → 90
–38.8 ± 0.072
–89.2 ± 4.0
162
5
toluene
0.25 M
30 → 90
–43.2 ± 0.156
–105.2 ± 6.8
137
6
acetonitrile
2
M
30 → 75
–7.6 ± 0.072
–18.3 ± 1.0
142
7
acetonitrile
1
M
30 → 75
–10.1 ± 0.025
–26.8 ± 1.4
104
8
acetonitrile
0.5
M
30 → 75
–12.7 ± 0.048
–35.8 ± 2.3
82
9
acetonitrile
0.25
M
0 → 60
–13.7 ± 0.06
–39.1 ± 3.5
77
All the results are summarized in Table . The polymerization behavior
differs substantially
based on the solvent. With a 2 M solution of AOMEC in PhMe, a ceiling
temperature of Tc = 234 °C is obtained,
while in MeCN at the same concentration, Tc = 142 °C (Table ). Specifically, in a 2 M solution of toluene at 30 °C, the
concentration of AOMEC at equilibrium ([AOMEC]eq) is 100–97.6%
= 2.4%, whereas in acetonitrile under the same conditions [AOMEC]eq = 100–73.0% = 27% (Figures S1 and S9).The ring strain (the enthalpy of polymerization
Δp may serve as
a measure of
the ring strain) and the contribution of the polymerization entropy
ΔSp are strongly affected by solvents
of different polarity (Figure ): Δp in
PhMe (1 M) = −22.0 kJ mol–1, whereas Δp in MeCN (1 M) = −10.1
kJ mol–1. A more than a 2-fold increase in ring
strain is observed in the nonpolar solvent toluene. The ring strain
increases with dilution toward a maximum value in both cases; a larger
increase in Δp is observed when using PhMe as the solvent (Figure a). The dielectric constants for a number
of cyclic carbonates have been determined,[58] and within this selection the chemical structure that most closely
resembles AOMEC is propylene carbonate, which has a dielectric constant
of 64 at 25 °C (for comparison, the dielectric constant of MeCN
is 37.5 and that of PhMe is 2.4). All cyclic carbonates have high
dielectric constants due to their highly polar carbonate group. It
is our hypothesis that solvents with different dielectric constants
(different polarity) induce changes in the conformation of the cyclic
carbonate monomer, forcing the monomer into a more or less favored
conformation, which in turn determines the ring strain and Δp. A larger deviation in polarity
between the monomer and solvent, that is, a larger difference in the
dielectric constants, leads to increased ring strain in the monomer
and consequently to a higher absolute value for Δp and a lower concentration of AOMEC
at equilibrium. The increase in the Δp with dilution is an inescapable consequence
of the change in system thermodynamics; however, the magnitude is
related to the nature of the solvent. At 0.25 M in PhMe, Δp = −105.2 J mol–1 K–1, and in MeCN, Δp = −39.1 J mol–1 K–1,which is more than 2.5 times
higher for the less polar solvent toluene (Table and Figure b). Because of the more favorable interactions between
the solvent and monomer, a more ordered solvent network is produced.
For MeCN, which has a more similar dielectric constant to cyclic carbonates,
a more ordered solvent network is formed, which prevents a stronger
decrease in entropy with dilution, and this is in contrast to PhMe,
where the entropic increase is more pronounced (Figure b). This is however a hypothetical explanation,
although the scientific literature regarding protein–ligand
binding[59] and halogen bonding in different
solvents supports this explanation.[60]
Figure 3
Thermodynamic
equilibrium polymerization of AOMEC in PhMe and MeCN
as a function of different initial monomer concentrations. (a) and
(b) show the change in ΔH and ΔS, respectively, (c) and (d) display ΔH/ΔS = Tc as a function of different
degrees of solvation (different monomer concentrations): (c) in PhMe
and (d) in MeCN. (For numerical values, see Tables S2–S4).
Thermodynamic
equilibrium polymerization of AOMEC in PhMe and MeCN
as a function of different initial monomer concentrations. (a) and
(b) show the change in ΔH and ΔS, respectively, (c) and (d) display ΔH/ΔS = Tc as a function of different
degrees of solvation (different monomer concentrations): (c) in PhMe
and (d) in MeCN. (For numerical values, see Tables S2–S4).The solvent polarity and monomer concentration that influence
both
Δp and Δp, which respected magnitudes
in conjunction to temperature, determine the conditions at which polymerization
occurs (Δp = Δp – TΔp < 0) and
at which depolymerization is favored (ΔGp = Δp – TΔp >
0). We determined the polymerizability of AOMEC at different temperatures
and different concentrations in PhMe and MeCN, which revealed substantial
differences between the two solvents (Figure c,d). Tc was
equivalent for the two solvents at very different degrees of solvation, Tc (PhMe, 0.25 M) = 137 °C and Tc (MeCN, 2 M) = 142 °C (Table , Figure c,d). The Tc of polymerization
is indicative of the temperature at which Δp = 0, that is, monomer conversion occurs only
up to this temperature, and if a polymer is subjected to temperatures
above these conditions, depolymerization occurs.The on/off
between the monomeric and polymeric state, hence the Tc regime, was recently explored for the homopolymerization
of γ-butyrolactone, a monomer that was previously considered
“not polymerizable”. Polymerization was achieved at
−40 °C; increasing the temperature to well above Tc enabled depolymerization and recycling of
the monomer.[61,62] The Tc for the polymerization of a specific monomer can be adjusted by
copolymerization; to increase the ceiling temperature of a specific
monomer, a comonomer with a higher Tc can
be added.[63−66] Adjustment of the monomer–polymer equilibrium by changing
the concentration was also achieved for a highly substituted ε-caprolactone
monomer.[67]
Polymerization with in
Situ Change in the Reaction Conditions
To prove the ability
of the AOMEC–poly(AOMEC) system to
respond to changes in the environment, we performed sequential changes
to the reaction conditions: (i) AOMEC was first reacted in bulk ([AOMEC]0 = 6 M) at 30 °C. Under these conditions, polymerization
occurred because Tc > T0. (ii) After reaching equilibrium conversion of AOMEC,
poly(AOMEC) was dissolved in MeCN to produce 0.5 M concentration of
repeating units (AOMECru), and the temperature was increased
to 82 °C. Under these conditions (Tc < T0) ring-closing depolymerization
occurred. The time conversion plots and the change in the number-average
molecular weight versus time for the polymerization of AOMEC and the
depolymerization of poly(AOMEC) are shown in Figure ; the corresponding numeric values are shown
in Tables S5 and S6. Specifically, 30%
conversion of AOMEC to poly(AOMEC) was achieved after 20 min, whereas
the corresponding value of the depolymerization of 30% of poly(AOMEC)
to AOMEC was achieved after 70 min, as shown in Tables S5 and S6 and Figure .
Figure 4
Bulk polymerization of AOMEC ([AOMEC]0 = 6
M catalyzed
with 10 mol % DBU): conversion of AOMEC versus time and Mn(SEC) versus time (green area). Depolymerization of poly(AOMEC)
([AOMEC]ru= 0.5 M with 10 mol % DBU) in MeCN at T = 82 °C: conversion of AOMECru versus
time and Mn(SEC) versus time (red area).
Bulk polymerization of AOMEC ([AOMEC]0 = 6
M catalyzed
with 10 mol % DBU): conversion of AOMEC versus time and Mn(SEC) versus time (green area). Depolymerization of poly(AOMEC)
([AOMEC]ru= 0.5 M with 10 mol % DBU) in MeCN at T = 82 °C: conversion of AOMECru versus
time and Mn(SEC) versus time (red area).The ability of AOMEC to be in
the polymeric state or the monomeric
state is dependent on the surrounding environment (Figures and 5). The initial polymerization conditions of the [AOMEC]0 = 6 M and 30 °C system favors polymerization (Tc > T0), and the conversion
and molecular weight follow the conventional trend. After 2 h, when
the system environment is changed to one that disfavors polymerization
(solution of MeCN, [AOMEC]0 = 0.5 M and 82 °C, Tc < T0) direct
ring-closing depolymerizaton is observed (the concentration of AOMECru decreases, where subscript ru indicates the repeating units).
Figure 5
Bulk polymerization
of AOMEC ([M]0 = 6 M catalyzed with
10 mol % DBU): Mn(SEC) and Mw/Mn versus conversion of
AOMEC (green area). Depolymerization of poly(AOMEC) ([AOMECru]0= 0.5 M with 10 mol % DBU) in MeCN at T = 82 °C: Mn(SEC) and Mw/Mn versus conversion of
AOMECru (red area).
Bulk polymerization
of AOMEC ([M]0 = 6 M catalyzed with
10 mol % DBU): Mn(SEC) and Mw/Mn versus conversion of
AOMEC (green area). Depolymerization of poly(AOMEC) ([AOMECru]0= 0.5 M with 10 mol % DBU) in MeCN at T = 82 °C: Mn(SEC) and Mw/Mn versus conversion of
AOMECru (red area).The depolymerization follows an analogous trend to the polymerization
(Figures and 5), indicating that depolymerization occurred via
ring-closing depolymerization from the chain end. This is further
supported by the similar values of the molecular weight at the same
conversion of AOMECru (where subscript ru indicates the
repeating units) and AOMEC. However, in terms of kinetic behavior,
the polymerization and depolymerization behave very differently, as
shown in Figures and 6. The polymerization follows the classical pseudo
first order kinetics, kpapp = 3.3 × 10–4 s–1, whereas
the depolymerization follows pseudo zero order kinetics, kdpapp = 0.64 × 10–4 s–1 (Figure ). Therefore, the depolymerization of poly(AOMEC) is initially
independent of the concentration. However, as the system approaches
equilibrium, that is, Δp = 0, polymerization–depolymerization equilibrium is
established, and a change in the kinetics is observed (Figure ). This observation cannot
be generalized to ring-closing depolymerization but reflects the features
of this particular system. The selected reaction parameters for depolymerization,
MeCN 0.5 M and 82 °C, are at the borderline at which ΔG = 0 for the system. If the selected reaction parameters
shift to more strongly favor depolymerization (Tc ≪ T0, hence Δp ≪ 0), it is believed
that the entire depolymerization process would follow pseudo zero
order kinetics.
Figure 6
Bulk polymerization of AOMEC ([M]0 = 6 M catalyzed
with
10 mol % DBU): first order, ln([M]0–[M]e)/([M]-[M]e)) = kpappt, where the slope of the line gives kpapp (green area). Depolymerization of PAOMEC
([AOMEC]ru) = 0.5 M with 10 mol % DBU in MeCN at T = 82 °C: zero order, [AOMEC]ru = kdpappt + [AOMEC],
where the slope of the line gives kdpapp (red area).
Bulk polymerization of AOMEC ([M]0 = 6 M catalyzed
with
10 mol % DBU): first order, ln([M]0–[M]e)/([M]-[M]e)) = kpappt, where the slope of the line gives kpapp (green area). Depolymerization of PAOMEC
([AOMEC]ru) = 0.5 M with 10 mol % DBU in MeCN at T = 82 °C: zero order, [AOMEC]ru = kdpappt + [AOMEC],
where the slope of the line gives kdpapp (red area).
Conclusions
The surrounding conditions of cyclic carbonates
and the corresponding
polymers dictate their monomer–polymer equilibrium. In DCM
at 30 °C and ambient pressure with an initial monomer concentration
of [AOMEC]0 = 0.125 M, no monomer conversion is observed,
Δp = 0, and the
system is at its ceiling temperature, whereas at 4 M monomer, 95%
equilibrium conversion is observed. The monomer–polymer equilibrium
is highly dependent on the nature of the reaction conditions and the
polarity of the surrounding medium. For AOMEC at [AOMEC]0 = 1 M and 75 °C in PhMe, the equilibrium monomer concentration
is (100–86.6) 13.4%; in MeCN and at the same conditions, the
equilibrium monomer concentration is (100–23.1) 76.9%. Tailoring
the thermodynamic equilibrium via the reaction conditions enables
selective transition between the monomeric and polymeric states. Exemplified
by changing the reaction from conditions that favor polymerization
(bulk polymerization at 30 °C) to conditions that disfavor polymerization
([AOMEC]0 = 0.5 M in MeCN and T = 82 °C)
reformation of the cyclic monomer AOMEC is observed within 10 h.These results indicate that the polymeric state should not be viewed
only from the vantage point of its respective synthesis but rather
as a continuing equilibrium between monomer and polymer. This underlines
the importance of considering how the polymer will behave during its
application. Specifically, if we consider in vivo applications where
the polymer is subjected to a highly polar reaction conditions at
low concentrations actively brings to question the most preferable
state of the polymer under these reaction conditions.
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