Synthesis and bulk polymerization kinetics of monomer dehydroabietic acid-(2-acryloyloxy-ethoxy)-ethyl ester

Abstract

A bulk polymerization monomer dehydro- abietic acid-(2-acryloyloxy-ethoxy)-ethyl ester (DHA-DG-AC) was synthesized from dehydroabietic acid (DHA). The chemical structure of DHA-DG-AC was characterized by ¹H NMR, ¹³C NMR, MS and FT-IR. The kinetics of the bulk polymerization of DHA-DG-AC was investigated by Differential Scanning Calorimeter (DSC). Two kinds of kinetic model (nth-order model and autocatalytic model) were used to investigate the polymerization process. The results showed that the experimental DSC curves were consistent with the computational data generated by the autocatalytic kinetic model, and the value of E_a was 95.73 kJ·mol⁻¹.

Keywords

dehydroabietic acid / bulk polymerization / kinetics / autocatalytic kinetic model

1 Introduction

With the limitations in sourcing fossil fuels and the aggravation of environmental pollution, biomass resources such as rosin and oil are becoming more attractive[ 1^] Biomass resources are widely used to replace petrochemical resources, especially for polymers^[ 1^, 2^] Hence, the design and synthesis of a naturally-derived polymerizable monomer is very important for sustainable development^[ 3^, 4^].

Rosin is an abundant renewable resource which consists primarily of 90% rosin acids with characteristic hydrophenanthrene structures and 10% neutral compounds, and is widely used in many fields such as paper making, paint, adhesives and rubber^[ 5^]. The major component of rosin acid is abietic acid with a molecular formula C₂₀H₃₀O₂. Abietic acid possesses a basic molecular structure of one carboxyl group and conjugated double bonds, which can react with different chemical substances to be transformed in polymerizable monomers^[ 6^]. Abietic acid reacts with maleic anhydride, acrylic acid, fumaric acid to be produced maleopimaric acid^[ 7^, 8^], acrylopimaric acid^[ 9^, 10^], and fumaropimaric acid^[ 11^, 12^] by the Diels-Alder reaction. The rosin based monomers can be used for further synthesis and to prepare polymers. Rosin based polymers, including epoxy resin^[ 13^, 14^], polyester^[ 15^, 16^] and polyamide^[ 17^, 18^], have been investigated as alternatives to petroleum based feedstock, as these exhibit better thermal stability and chemical resistance than petro-based polymers.

Vinyl, acrylic and allyl ester groups, which can undergo radical polymerization, have been grafted onto the rosin acid structure to afford rosin-derived vinyl polymeric monomers^[ 19^, 20^]. However, only a few applications of rosin-derived vinyl monomers have been reported, including use as crosslinking agent in UV-polymerization and thermal polymerization^[ 21^, 22^]. Due to characteristic hydrophenanthrene structures, rosin-derived vinyl monomers are used to synthesize pressure-sensitive adhesives with a high glass transition temperature and better adhesion performance by copolymerization with acrylic ester monomers^[ 23^], and have great potential to be used in hydrophobically-modified water-soluble polymers. An appropriate kinetic model is one important prerequisite for understanding of polymerization. Such models are not only possible to predict the extent of polymerization, but they can also be used for process optimization in different systems^[ 24^].

Differential scanning calorimetry (DSC) is the most widely used method to measure kinetic parameters, such as heat flow, extent of conversion and rate of conversion. A kinetic equation can then be used to compare with experimental data obtained by DSC. The study of cure kinetics of thermosetting polymers is useful for understanding the relationship between structure and properties^[ 25^]. Um et al. ^[ 26^] proposed a procedure manipulating dynamic scanning data to determine cure kinetics, and then the cure kinetics were applied to study a three-component epoxy resin system. For free radical polymerization, several theories have been proposed to explain the kinetics and have achieved varying degrees of success in fitting the experimental data^[ 27^, 28^]. Zhang et al. ^[ 29^] studied the kinetics of polymerization of 2,2-dinitropropyl acrylate, 2,2-dinitrobutyl acrylate and 2,2-dinitrobutyl methacrylate, which showed that the polymerization ability of three monomers decreased due to the presence of substituent methyl groups on the acrylyl double bond and 2,2-dinitrobutyl on the ester group.

In this paper, a new radical polymerization monomer dehydroabietic acid-(2-acryloyloxy-ethoxy)-ethyl ester (DHA-DG-AC) was synthesized from dehydroabietic acid (DHA) which was separated from rosin. The kinetics were investigated by differential scanning calorimeter (DSC) in the non-isothermal mode and compared to the computational kinetic data. DHA-DG-AC has been shown to be a naturally-derived bulk polymerizable monomer.

2 Materials and methods

2.1 Materials

DHA (purity 95%, melting point 165–167°C) was separated from rosin according to published literature^[ 30^]. Oxalyl chloride, 4-dimethylaminopyridine, pyridine, triethylamine, 4-methoxyphenol, diethylene glycol, acrylylchloride and azodiisobutyronitrile were purchased from Aladdin Industrial Corporation (China, Shanghai) and used without further purification.

2.2 Synthesis of dehydroabietic acid-(2-hydroxy-ethoxy)-ethyl ester

DHA (3.00 g, 0.01 mol) was dissolved in dichloromethane in an ice water bath, oxalyl chloride (1.51 g, 0.012 mol) was added dropwise into the flask. The mixture was stirred at 25°C for 4 h. After the reaction, the excessive oxalyl chloride and dichloromethane were removed in a rotary evaporator to yield synthesized dehydroabietic acid chloride (DHA-Cl). The DHA-Cl was then dissolved in dichloromethane. The mixture of diethylene glycol (5.3 g, 0.05 mol), 4-dimethylaminopyridine (6.1 g, 0.05 mol), pyridine (0.79 g, 0.01 mol) and dichloromethane was added dropwise into the DHA-Cl solution in an ice water bath. The mixture was then heated to 40°C for 12 h. After the reaction, the organic phase was washed three times with dilute hydrochloric acid and three times with deionized water, dried with anhydrous sodium sulfate. The solvent was evaporated under vacuum to yield a yellow viscous liquid, dehydroabietic acid-(2-hydroxy-ethoxy)-ethyl ester (DHA-DG, purity 95%). DHA-DG, ¹H NMR (CDCl₃, d ppm) 7.37–7.06 (m, 1H;Ar-H), 6.97 (dd, 1H; Ar-H), 6.88 (s, 1H; Ar-H), 4.57–4.03 (m, 2H; COOCH₂), 3.88–3.33 (m, 6H;OCH₂), 3.02–2.61 (m, 3H; CH, CH₂), 2.50–0.64 (m, 22H; CH, CH₂, CH₃). FT-IR (cm^-1) 750, 822, 885 (Ar); 1124, 1174, 1245(CH₂OCH₂); 1458, 1497, 1611 (Ar); 1723 (COOCH₂); 2869, 2954 (CH₃, CH₂) and 3435 (OH).

2.3 Synthesis of DHA-DG-AC

The synthesized DHA-DG was used directly in the next step. DHA-DG (1.0 g, 0.0026 mol), triethylamine (0.26 g), hydroquinone (0.001 g) and dichloromethane were mixed in a flask. The combined solution of acrylylchloride (0.26 g, 0.0028 mol) and dichloromethane was added dropwise into the flask, and then the mixture was stirred at 25°C for 12 h. After the reaction, the solution was filtered and washed three times with Na₂CO₃ aqueous solution. The organic solution was vacuum-distilled at 400Pa and 45°C and dried in a vacuum oven, and a transparent viscous liquid, DHA-DG-AC (purity 96%), was obtained by silica gel column chromatography. DHA-DG-AC, ¹H NMR (CDCl₃, d ppm) 7.53–7.13 (m, 1H; Ar-H), 7.04 (dd, 1H; Ar-H), 6.92 (s, 1H; Ar-H), 6.61–6.32 (m, 1H; CH₂ = CH), 6.28–5.95 (m, 1H; CH₂ = CH), 5.95–5.47 (m, 1H; CH₂ = CH), 4.71–4.03 (m, 4H; COOCH₂), 3.99–3.44 (m, 4H; CH₂OCH₂), 3.20–2.61 (m, 3H; CH, CH₂), 2.54–0.77 (m, 21H; CH, CH₂, CH₃). ¹³C NMR (CDCl₃, d ppm) 177.98 (C= O), 165.61 (C= O), 146.37, 145.22, 134.22, 126.41, 123.70, 123.42 (Ar); 130.57, 127.69 (C= C); 68.68, 68.43, 63.13, 62.88 (OCH₂); 47.15, 44.30, 37.45, 36.46, 36.057, 32.96, 29.63, 24.71, 23.49, 23.47, 21.24, 18.09, 16.02 (CH₂, CH₃, C). FT-IR (cm^-1) 752, 822, 984 (Ar); 1124, 1191, 1246 (CH₂OCH₂); 1406, 1456, 1497, 1619 (Ar); 1636 (CH₂ = CH), 1725 (COOCH₂) and 2869, 2955 (CH₃, CH₂). ESI-MS m/z 465.3 [M+ Na]⁺ (Fig. S1).

2.4 Measurement of the progress of bulk polymerization of DHA-DG-AC by differential scanning calorimeter

DHA-DG-AC and 2 wt% 2, 2'-azobis-isobutyronitrile were placed in a DSC cell. The kinetic data were obtained by DSC with nitrogen as flushing gas, heated from 25 to 200°C with different heating rates of 10,15 and 20 K·min^-1. The heat flow was obtained, and then the kinetic data were processed further by DSC kinetics analysis software (Pyris Software, PerkinElmer, USA) to obtain the extent of conversion and the rate of polymerization.

2.5 Characterization

¹H NMR spectra were recorded with a Bruker 300 MHz spectrometer at room temperature with deuterated chloroform. FT-IR spectra were obtained using a Thermo Scientific Nicolet iS10 FT-IR spectrometer (Thermo Fisher Scientific, Waltham, MA, USA) in the 400–4000 cm^-1 wavenumber range. Mass spectrum was recorded on an Agilent-5973 spectrometer (ESI source; Agilent Technologies, Santa Clara, CA, USA).

3 Results and discussion

3.1 Synthesis and characterization

The synthetic of DHA-DG-AC is shown in . The FT-IR spectra of DHA, DHA-DG and DHA-DG-AC are given in . In Fig. 2b, the characteristic DHA peak at 1687 cm⁻¹ has disappeared after esterification, while peaks of ester carbonyl groups at 1725 cm⁻¹ and hydroxyl group at 3435 cm⁻¹ can be seen. In Fig. 2c, the characteristic peaks shown at 3435 cm⁻¹ have disappeared and a peak at 1636 cm⁻¹ indicates that the formation of the terminal C= C had occurred. The ¹H-NMR spectra of DHA-DG and DHA-DG-AC are shown in . The signals from 6.8 to 7.5 ppm were assigned to the protons on the aromatic ring. Compared to , the peaks from 5.5 to 6.6 ppm represented the protons on the unsaturated carbon of acrylic ester group. In , the carboxyl groups at 177.98 and 165.61 ppm, and C= C group at 130.57 and 127.69 ppm are present. These peaks confirm that DHA-DG-AC was synthesized.

Fig.1 Reaction scheme for synthesis of dehydroabietic acid-(2-acryloyloxy-ethoxy)-ethyl ester

Full size|PPT slide

Fig.2 FT-IR spectra of dehydroabietic acid (a), dehydroabietic acid-(2-hydroxy-ethoxy)-ethyl ester (b) and dehydroabietic acid- (2-acryloyloxy-ethoxy)-ethyl ester (c)

Full size|PPT slide

Fig.3 1H NMR spectra of dehydroabietic acid-(2-hydroxy-ethoxy)-ethyl ester (a) and dehydroabietic acid- (2-acryloyloxy-ethoxy)-ethyl ester (b)

Full size|PPT slide

Fig.4 13C NMR spectrum of dehydroabietic acid- (2-acryloyloxy-ethoxy)-ethyl ester

Full size|PPT slide

3.2 Model examination and data correlation

The bulk polymerization kinetic parameters of DHA-DG-AC were measured by DSC. It is assumed that the measured heat flow (dH/dt) is proportional to the rate of polymerization (dα/dt). The rate of polymerization is defined as follows^[ 31^, 32^]:

(1) $${\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}={\displaystyle \frac{\mathrm{d}H}{\mathrm{d}t}}\times {\displaystyle \frac{\mathrm{1}}{\mathrm{\Delta }H}}$$

where DH is the enthalpy of the polymerization reaction. The rate of polymerization also can be described by Eq. 2^[ 33^]:

(2) $${\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}=\mathrm{K}\left(T\right)\mathrm{f}\left(\alpha \right)$$

where f(α) is a dependent kinetic model function, and K(T) is the temperature-dependent rate constant dependent on Arrhenius relationship^[ 34^].

(3) $$\mathrm{K}\left(T\right)=A\exp \left(-{\displaystyle \frac{E_{\alpha }}{RT}}\right)$$

where E_a is the apparent activation energy, A is the pre-exponential factor, R is the gas constant and T is the reaction temperature. The rate of polymerization is also obtained by Eqs. 2 and 3.

(4) $${\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}=A\exp \left(-{\displaystyle \frac{E_{\alpha }}{RT}}\right)\mathrm{f}\left(\alpha \right)$$

To develop a generalized model of the kinetics, two kinds of model (nth-order model and autocatalytic model) were investigated.

3.2.1 Nth-order kinetic model

For nth-order kinetic, f(α) is described as follows.

(5) $$\mathrm{f}\left(\alpha \right)={\left(\mathrm{1}-\alpha \right)}^{\mathit{n}}$$

where n is the reaction order.

The rate of polymerization defined as follows is used.

(6) $${\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}=A\exp \left(-{\displaystyle \frac{E_{\alpha }}{RT}}\right){\left(\mathrm{1}-\alpha \right)}^{\mathit{n}}$$

The nth-order kinetic parameters are obtained by the Kissinger method^[ 34^] and Crane method^[ 35^]. At the DSC peak exotherm (T_p), it is assumed that the extent of polymerization reaction is constant and not dependent on the heating rates (β). The Kissinger method and the Crane method are shown in Eqs. 7 and 8.

(7) $$\ln {\displaystyle \frac{\beta }{{{\displaystyle T}}_{\mathrm{p}}^{\mathrm{2}}}}=\ln \left(\frac{AR}{E_{\alpha }}\right)-\frac{E_{\alpha }}{R{T}_{\mathrm{p}}}$$

(8) $${\displaystyle \frac{\mathrm{d}\ln \beta }{\mathrm{d}\left(\mathrm{1}/T_{\mathrm{p}}\right)}}=-{\displaystyle \frac{E_{\alpha }}{nR}}$$

Figures 5–7 shows the DSC thermograms for the bulk polymerization of DHA-DG-AC measured at 10, 15 and 20 K·min⁻¹, and the value of ln(β/T_p²) is given by the DSC peak exotherm. Figure 8 is ln(β/T_p²) as a function of 1/T_p. A linear relationship with the following equation was obtained.

(9) $$\ln {\displaystyle \frac{\widehat{\mathrm{a}}}{{{\displaystyle T}}_{\mathrm{p}}^{\mathrm{2}}}}=-\mathrm{9954.93}\times {\displaystyle \frac{\mathrm{1}}{T_{\mathrm{p}}}}+\mathrm{16.58}$$

Fig.5 DSC curves at different heating rates. T, the reaction temperature.

Full size|PPT slide

Fig.6 Plots of α versus T at different scan rates. α, the conversion; T, the reaction temperature.

Full size|PPT slide

Fig.7 Plots of dα/dt versus T at different scan rates. dα/dt, the rate of polymerization; T, the reaction temperature.

Full size|PPT slide

Fig.8 Plots of ln(β/Tp2)versus 1/Tp. β, the heating rate; Tp, the DSC peak exotherm.

Full size|PPT slide

ƒBased on the slope and the intercept, the apparent activation energy (E_a) of 82.77 kJ·mol⁻¹ was obtained and the pre-exponential factor A was 1.58 × 10¹¹. A linear relationship of ln(β) versus 1/T_p was obtained in and the linear equation could be described by Eq. 10.

(10) $$\ln \beta =-\mathrm{11003.73}\times {\displaystyle \frac{\mathrm{1}}{T_{\mathrm{p}}}}+\mathrm{31.26}$$

From the slope and E_a, the reaction order n was calculated as 0.9047. Based on the kinetic parameters obtained, the rate of bulk polymerization could be expressed as follows.

(11) $${\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}=\mathrm{1.58}\times {\mathrm{10}}^{\mathrm{11}}\exp \left({\displaystyle \frac{-\mathrm{8.277}\times {\mathrm{10}}^{\mathrm{4}}}{RT}}\right){\left(\mathrm{1}-\alpha \right)}^{\mathrm{0.9047}}$$

Fig.9 Plots of lnβ versus 1/Tp. β, the heating rate; Tp, the DSC peak exotherm.

Full size|PPT slide

ƒThe rate of polymerization equation was used to compute dα/dt versus T curves and comparisons with the experimentally obtained curves are shown in . The calculated value of dα/dt based on Eq. 11 was much higher than the experimental data. Evidently, the nth-order reaction is not able to accurately describe the bulk polymerization of DHA-DG-AC.

Fig.10 Comparison of computational data and experimental data. dα/dt, the rate of polymerization; T, the reaction temperature.

Full size|PPT slide

3.2.2 Autocatalytic kinetic model

The kinetic parameters of the bulk polymerization of DHA-DG-AC were obtained by the method of Mαlek on kinetic analysis. The apparent activation energy E_a was obtained by the isoconversional method and the logarithmic form of the kinetic Eq. 4.

(12) $$\ln {\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}=\ln \left[A\mathrm{f}\left(\alpha \right)\right]-{\displaystyle \frac{E_{\mathrm{a}}}{RT}}$$

The apparent activation energy E_a can be calculated by plotting of ln(dα/dt) versus 1/T_p at different conversions as shows in .

As shown in , E_a increased with the conversion due to the decreased mobility of the reactive group^[ 25^]. E_a obtained a value of 95.73 kJ·mol⁻¹.

Fig.11 Plots of ln(dα/dt) versus 1/Tp at different conversions. dα/dt, the rate of polymerization; Tp, the DSC peak exotherm.

Full size|PPT slide

Fig.12 The apparent activation energy Ea at different conversions α

Full size|PPT slide

There are two special functions needed, y(α) and z(α), to find an appropriate kinetic model^[ 36^]. y(α) and z(α) are described as follows.

(13) $$\mathrm{y}\left(\alpha \right)={\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}\mathrm{t}}}\exp \left(u\right)$$

(14) $$u={\displaystyle \frac{E_{\mathrm{a}}}{RT}}$$

(15) $$\mathrm{z}\left(\alpha \right)=\pi \left(u\right)\left({\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}\right){\displaystyle \frac{T}{\beta }}$$

(16) $$\pi \left(u\right)={\displaystyle \frac{u^{\mathrm{3}}+\mathrm{18}{u}^{\mathrm{2}}+\mathrm{88}u+\mathrm{96}}{u^{\mathrm{4}}+\mathrm{20}{u}^{\mathrm{3}}+\mathrm{120}{u}^{\mathrm{2}}+\mathrm{240}u+\mathrm{120}}}$$

The values of y(α) and z(α) were normalized within the range 0 to 1. From Figs. 13 and 14, α_M and α_p^∞ are obtained and correspond to the max values of y(α) and z(α) ^[37,39], respectively. Based on and , it is evident that the value of α_M was lower than the value of α_p^∞, while α_p^∞ was less than 0.632. So the model of Šestαk-Berggren, Eq. 17 was the most appropriate.

(17) $$\mathrm{f}\left(\alpha \right)={\alpha }^m{\left(\mathrm{1}-\alpha \right)}^n$$

where m, n refer to the the reaction order. The kinetic parameters are calculated by Eqs. 18 and 19.

(18) $$\ln \left[{\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}\exp \left(u\right)\right]=\ln A+\mathrm{n}\ln \left[{\alpha }^p\left(\mathrm{1}-\alpha \right)\right]$$

(19) $$\mathrm{p}={\displaystyle \frac{m}{n}}={\displaystyle \frac{{\alpha }_{\mathrm{M}}}{\mathrm{1}-{\alpha }_{\mathrm{M}}}}$$

Fig.13 Plots of y(α) versus α. y(α), special function; α the conversion.

Full size|PPT slide

Fig.14 Plots of z(α) versus α. z(α), special function; α, the conversion.

Full size|PPT slide

Fig.15 The value of αM and αp∞, αM, the maxima of y(α); αp∞, the maxima of z(α);. β, the heating rate; α, the conversion.

Full size|PPT slide

Tab.1 Empirical expressions of different kinetic models

Model	f (α)
Šestαk-Berggren	αm(1–α)n
Johnson-Mehl-Avrami	n(1–α)[–ln(1–α)]1-1/n
Reaction order	(1–α)n
2D-diffusion	1/[–ln(1–α)]
Jander equation	(3/2)(1–α)3/2[1–(1–α)1/3]−1
Ginstling-Brounshtein	(3/2)[ (1–α)–1/3–1]−1

The plots of ln[(dα/dt)exp(u)] versus ln[α^p(1–α)] are shown in . The values of m, n and A were obtained from the slope, the intercept and Eq. 19 listed in . So the kinetic equation of bulk polymerization is described as follows:

(20) $${\displaystyle \frac{\mathrm{d}\alpha }{\mathrm{d}t}}=\mathrm{1.305}\times {\mathrm{10}}^{\mathrm{13}}\times \exp \left({\displaystyle \frac{-\mathrm{9.573}\times {\mathrm{10}}^{\mathrm{4}}}{RT}}\right){\mathrm{\alpha }}^{\mathrm{0.2910}}{\left(\mathrm{1}-\alpha \right)}^{\mathrm{1.5489}}$$

Fig.16 Plots of ln[(dα/dt)exp(u)] versus ln[αp(1-α)]. u, reduced activation energy; dα/dt, the rate of polymerization; α, the conversion.

Full size|PPT slide

Tab.2 The value of m, n, A at different heating rates

β/(K·min−1)	A	m	n
10	1.241013	0.2814	1.4977
15	1.301013	0.2914	1.5509
20	1.381013	0.3003	1.5980
Average	1.301013	0.2910	1.5489

Figure 17 shows comparison of computational data obtained from Eq. 20 and experimental DSC curves. It can be seen that the autocatalytic kinetic model well described the bulk polymerization of DHA-DG-AC.

Fig.17 Comparison of computational data and experimental data. dα/dt, the rate of polymerization; T, the reaction temperature.

Full size|PPT slide

4 Conclusions

DHA-DG-AC was successfully synthesized and characterized by FT-IR spectra, MS, ¹³C NMR and ¹H NMR spectra. The kinetics of the bulk polymerization of DHA-DG-AC were studied by DSC in the non-isothermal mode. Two kinds of kinetic model: nth-order and autocatalytic were investigated. It was established that the autocatalytic kinetic model was the most suitable model for description of the bulk polymerization of DHA-DG-AC, and the value of E_a was 95.73 kJ/mol. DHA-DG-AC is a naturally-derived polymerizable monomer.

References

[1] Corma A, Iborra S, Velty A. Chemical routes for the transformation of biomass into chemicals. Chemical Reviews, 2007, 107(6): 2411–2502

[2] Kong X, Qi H, Curtis J M. Synthesis and characterization of high‐molecular weight aliphatic polyesters from monomers derived from renewable resources. Journal of Applied Polymer Science, 2014, 131(15): 40579

[3] Williams C K, Hillmyer M A. Polymers from renewable resources: a perspective for a special issue of polymer reviews.Polymer Reviews, 2008, 48(1): 1–10

[4] Yao K, Tang C. Controlled polymerization of next-generation renewable monomers and beyond. Macromolecules, 2013, 46(5): 1689–1712

[5] Yadav B K, Gidwani B, Vyas A.Rosin: recent advances and potential applications in novel drug delivery system. Journal of Bioactive and Compatible Polymers: Biomedical Applications, 2015: 1–16

[6] Wilbon P A, Chu F, Tang C. Progress in renewable polymers from natural terpenes, terpenoids, and rosin. Macromolecular Rapid Communications, 2013, 34(1): 8–37

[7] Gonis G, Slezak F B, Lawson N E. Preparation of maleopimaric acid. Industrial & Engineering Chemistry Product Research and Development, 1973, 12(4): 326–327

[8] Lee J S, Hong S I. Synthesis of acrylic rosin derivatives and application as negative photoresist. European Polymer Journal, 2002, 38(2): 387–392

[9] Ma Q, Liu X, Zhang R, Zhu J, Jiang Y. Synthesis and properties of full bio-based thermosetting resins from rosin acid and soybean oil: the role of rosin acid derivatives. Green Chemistry, 2013, 15(5): 1300–1310

[10] Sinha Roy S, Kundu A K, Maiti S. Polymers from renewable resources–13. Polymers from rosin acrylic acid adduct. European Polymer Journal, 1990, 26(4): 471–474

[11] Halbrook N J, Lawrence R V. Separation of fumaropimaric acid from fumaric-modified rosin products. US Patent 2889362, 1956

[12] Aldrich P H. Process for separation of rosin adducts from mixtures with rosin. US Patent 3562243, 1971

[13] Atta A M, Elsaeed A M, Farag R K, El-Saeed S M. Synthesis of unsaturated polyester resins based on rosin acrylic acid adduct for coating applications. Reactive & Functional Polymers, 2007, 67(6): 549–563

[14] Deng L, Ha C, Sun C, Zhou B, Yu J, Shen M, Mo J. Properties of bio-based epoxy resins from rosin with different flexible chains. Industrial & Engineering Chemistry Research, 2013, 52(37): 13233–13240

[15] Jin J F, Chen Y L, Wang D N, Hu C P, Zhu S, Vanoverloop L, Randall D. Structures and physical properties of rigid polyurethane foam prepared with rosin-based polyol. Journal of Applied Polymer Science, 2002, 84(3): 598–604

[16] Xu X, Shang S, Song Z, Cui S. Preparation and characterization of rosin-based waterborne polyurethane from maleopimaric acid polyester polyol. BioResources, 2011, 6(3): 2460–2470

[17] Bicu I, Mustata F. Polymers from a levopimaric acid–acrylonitrile Diels–Alder adduct: synthesis and characterization. Journal of Polymer Science Part A: Polymer Chemistry, 2005, 43(24): 6308–6322

[18] Mustata F, Bicu I. A novel route for synthesizing esters and polyesters from the Diels–Alder adduct of levopimaric acid and acrylic acid. European Polymer Journal, 2010, 46(6): 1316–1327

[19] Wilbon P A, Chu F, Tang C. Progress in renewable polymers from natural terpenes, terpenoids, and rosin. Macromolecular Rapid Communications, 2013, 34(1): 8–37

[20] Zheng Y, Yao K, Lee J, Chandler D, Wang J, Wang C, Chu F, Tang C. Well-defined renewable polymers derived from gum rosin. Macromolecules, 2010, 43(14): 5922–5924

[21] Atta A M, El-Saeed S M, Farag R K. New vinyl ester resins based on rosin for coating applications. Reactive & Functional Polymers, 2006, 66(12): 1596–1608

[22] Liu B, Nie J, He Y. From rosin to high adhesive polyurethane acrylate: synthesis and properties. International Journal of Adhesion and Adhesives, 2016, 66: 99–103

[23] Do H S, Park J H, Kim H J. Synthesis and characteristics of photoactive-hydrogenated rosin epoxy methacrylate for pressure sensitive adhesives. Journal of Applied Polymer Science, 2009, 111(3): 1172–1176

[24] Roşu D, Caşcaval C N, Mustatǎ F, Ciobanu C. Cure kinetics of epoxy resins studied by non-isothermal DSC data. Thermochimica Acta, 2002, 383(1–2): 119–127

[25] Boey F Y C, Qiang W. Experimental modeling of the cure kinetics of an epoxy-hexaanhydro-4-methylphthalicanhydride (MHHPA) system. Polymer, 2000, 41(6): 2081–2094

[26] Um M K, Daniel I M, Hwang B S. A study of cure kinetics by the use of dynamic differential scanning calorimetry. Composites Science and Technology, 2002, 62(1): 29–40

[27] Bera O, Pavličević J, Jovičić M, Stoiljković D, Pilić B, Radičević R. The influence of nanosilica on styrene free radical polymerization kinetics. Polymer Composites, 2012,33(2): 262–266

[28] Vilas J L, Laza J M, Garay M T, Rodríguez M, León L M. Unsaturated polyester resins cure: kinetic, rheologic, and mechanical‐dynamical analysis. I. Cure kinetics by DSC and TSR. Journal of Applied Polymer Science, 2001, 79(3): 447–457

[29] Zhang G, Du S, Wang J, Wang X. Differential scanning calorimetric study on free-radical polymerization of gem-dinitroalkyl acrylates and methacrylate. Journal of Thermal Analysis and Calorimetry, 2009, 95(2): 433–436

[30] Cui Y, Rao X, Shang S, Song J, Gao Y. Synthesis and antibacterial activity of oxime ester derivatives from dehydroabietic acid. Letters in Drug Design & Discovery, 2013, 10(2): 102–110

[31] Málek J. Kinetic analysis of crystallization processes in amorphous materials. Thermochimica Acta, 2000, 355(1–2): 239–253

[32] Park B D, Riedl B, Hsu E W, Shields J. Differential scanning calorimetry of phenol–formaldehyde resins cure-accelerated by carbonates. Polymer, 1999, 40(7): 1689–1699

[33] Montserrat S, Málek J. A kinetic analysis of the curing reaction of an epoxy resin. Thermochimica Acta, 1993, 228: 47–60

[34] Kissinger H E. Reaction kinetic in differential thermal analysis. Analytical Chemistry, 1957, 29(11): 1702–1706

[35] Crane L W, Dynes P J, Kaelble D H. Analysis of curing kinetic in polymer composites. Journal of Polymer Science. Polymer Letters Edition, 1973, 11(8): 533–540

[36] Senum G I, Yang R T. Rational approximations of the integral of the Arrhenius function. Journal of Thermal Analysis, 1977, 11(3): 445–447

Supplementary materials

The online version of this article at http://dx.doi.org/10.15302/J-FASE-2016115 contains supplementary material (Fig. S1).

Acknowledgements

This study was supported by the National Natural Science Foundation of China (31470597).

Compliance with ethics guidelines

Haibo Zhang, Yanping Yang, He Liu, Jie Song, Shibin Shang, and Zhanqian Song declare that they have no conflict of interest or financial conflicts to disclose.

This article does not contain any studies with human or animal subjects performed by any of the authors.

RIGHTS & PERMISSIONS

The Author(s) 2016. Published by Higher Education Press. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0)