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China Plastics ›› 2021, Vol. 35 ›› Issue (9): 27-33.DOI: 10.19491/j.issn.1001-9278.2021.09.005
• Materials and Properties • Previous Articles Next Articles
ZHANG Dingran1(), LU Lingang2(
)
Received:
2021-03-22
Online:
2021-09-26
Published:
2021-09-23
CLC Number:
ZHANG Dingran, LU Lingang. Study on Thermal Decomposition Kinetics of Calixarene[J]. China Plastics, 2021, 35(9): 27-33.
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URL: https://www.plaschina.com.cn/EN/10.19491/j.issn.1001-9278.2021.09.005
β/℃·min-1 | 材料 | T5 %/ ℃ | Tmax/℃ | Rmax/%·℃ |
---|---|---|---|---|
10 | 杯[ | 313.4 | 383.5 | |
对叔丁基杯[ | 180.8 | 188.9、390.9 | ||
20 | 杯[ | 321.2 | 405.7 | |
对叔丁基杯[ | 188.2 | 194.0、399.5 | ||
30 | 杯[ | 339.0 | 415.2 | |
对叔丁基杯[ | 192.3 | 197.7、404.1 | ||
40 | 杯[ | 317.5 | 422.9 | |
对叔丁基杯[ | 197.4 | 204.6、411.5 |
β/℃·min-1 | 材料 | T5 %/ ℃ | Tmax/℃ | Rmax/%·℃ |
---|---|---|---|---|
10 | 杯[ | 313.4 | 383.5 | |
对叔丁基杯[ | 180.8 | 188.9、390.9 | ||
20 | 杯[ | 321.2 | 405.7 | |
对叔丁基杯[ | 188.2 | 194.0、399.5 | ||
30 | 杯[ | 339.0 | 415.2 | |
对叔丁基杯[ | 192.3 | 197.7、404.1 | ||
40 | 杯[ | 317.5 | 422.9 | |
对叔丁基杯[ | 197.4 | 204.6、411.5 |
β/ ℃·min-1 | Tp/K | (1/Tp)/ 1×10-3 K-1 | ln(β/Tp2)/ k-1·min-1 | EK/kJ·mol-1 |
---|---|---|---|---|
10 | 665.49 | 1.502 | 166.64 | |
20 | 678.70 | 1.473 | ||
30 | 688.21 | 1.453 | ||
40 | 695.86 | 1.437 |
β/ ℃·min-1 | Tp/K | (1/Tp)/ 1×10-3 K-1 | ln(β/Tp2)/ k-1·min-1 | EK/kJ·mol-1 |
---|---|---|---|---|
10 | 665.49 | 1.502 | 166.64 | |
20 | 678.70 | 1.473 | ||
30 | 688.21 | 1.453 | ||
40 | 695.86 | 1.437 |
β/℃·min-1 | Tp/K | (1/Tp) /1×10-3 K-1 | ln(β/Tp2) /k?1·min-1 | EK/kJ·mol-1 |
---|---|---|---|---|
10 | 461.91 | 2.165 | 153.97 | |
20 | 466.97 | 2.141 | ||
30 | 470.73 | 2.124 | ||
40 | 477.61 | 2.094 |
β/℃·min-1 | Tp/K | (1/Tp) /1×10-3 K-1 | ln(β/Tp2) /k?1·min-1 | EK/kJ·mol-1 |
---|---|---|---|---|
10 | 461.91 | 2.165 | 153.97 | |
20 | 466.97 | 2.141 | ||
30 | 470.73 | 2.124 | ||
40 | 477.61 | 2.094 |
α | SD | r | EO/kJ·mol-1 |
---|---|---|---|
0.1 | 0.084 0 | 0.982 6 | 164.04 |
0.2 | 0.080 8 | 0.983 9 | 173.36 |
0.3 | 0.083 5 | 0.982 8 | 168.70 |
0.4 | 0.088 8 | 0.980 5 | 178.48 |
0.5 | 0.088 9 | 0.980 5 | 174.58 |
0.6 | 0.089 4 | 0.980 3 | 150.63 |
0.7 | 0.088 7 | 0.980 6 | 195.51 |
0.8 | 0.088 8 | 0.980 5 | 201.00 |
α | SD | r | EO/kJ·mol-1 |
---|---|---|---|
0.1 | 0.084 0 | 0.982 6 | 164.04 |
0.2 | 0.080 8 | 0.983 9 | 173.36 |
0.3 | 0.083 5 | 0.982 8 | 168.70 |
0.4 | 0.088 8 | 0.980 5 | 178.48 |
0.5 | 0.088 9 | 0.980 5 | 174.58 |
0.6 | 0.089 4 | 0.980 3 | 150.63 |
0.7 | 0.088 7 | 0.980 6 | 195.51 |
0.8 | 0.088 8 | 0.980 5 | 201.00 |
α | SD | r | EO/kJ·mol-1 |
---|---|---|---|
0.1 | 0.087 8 | 0.981 0 | 147.49 |
0.2 | 0.084 6 | 0.982 3 | 166.46 |
0.3 | 0.081 5 | 0.983 6 | 165.11 |
0.4 | 0.078 6 | 0.984 8 | 173.38 |
0.5 | 0.080 2 | 0.984 2 | 178.64 |
0.6 | 0.081 1 | 0.983 8 | 176.97 |
0.7 | 0.072 7 | 0.997 0 | 158.71 |
0.8 | 0.075 8 | 0.985 9 | 167.73 |
α | SD | r | EO/kJ·mol-1 |
---|---|---|---|
0.1 | 0.087 8 | 0.981 0 | 147.49 |
0.2 | 0.084 6 | 0.982 3 | 166.46 |
0.3 | 0.081 5 | 0.983 6 | 165.11 |
0.4 | 0.078 6 | 0.984 8 | 173.38 |
0.5 | 0.080 2 | 0.984 2 | 178.64 |
0.6 | 0.081 1 | 0.983 8 | 176.97 |
0.7 | 0.072 7 | 0.997 0 | 158.71 |
0.8 | 0.075 8 | 0.985 9 | 167.73 |
序号 | 微分形式机理函数f(α) | 积分形式机理函数g(α) |
---|---|---|
1#~6# | 4α3/4、3α2/3、2α1/2、1、1/2α-1、2/3α-1/2 | α1/4、α1/3、α1/2、α、α2、α3/2 |
7#~9# | [-ln(1-α)]-1、3/2[(1-α)-1/3-1]-1、2(1-α)[-ln(1-α)]1/2(n=1/2) | α+(1-α)ln(1-α)、1-2α/3-(1-α)2/3、[-ln(1-α)]1/2(n=1/2) |
10#~11# | 4(1-α)[-ln(1-α)]3/4(n=1/4)、3(1-α)[-ln(1-α)]2/3(n=1/3) | [-ln(1-α)]1/4(n=1/4)、[-ln(1-α)]1/3(n=1/3) |
12#~13# | 5/2(1-α)[-ln(1-α)]3/5(n=2/5)、3/2(1-α)[-ln(1-α)]1/3(n=2/3) | [-ln(1-α)]2/5(n=2/5)、[-ln(1-α)]2/3(n=2/3) |
14#~16# | 4/3(1-α)[-ln(1-α)]1/4(n=3/4)、1-α(n=1)、 2/3(1-α)[-ln(1-α)]-1/2(n=3/2) | [-ln(1-α)]3/4(n=3/4)、-ln(1-α)(n=1) [-ln(1-α)]3/2(n=3/2) |
17#~18# | 1/2(1-α)[-ln(1-α)]-1(n=2),1/3(1-α)[-ln(1-α)]-2(n=3) | [-ln(1-α)]2(n=2),[-ln(1-α)]3(n=3) |
19#~22# | 1/4(1-α)[-ln(1-α)]-3(n=4),4(1-α)3/4、3(1-α)2/3、2(1-α)1/2 | [-ln(1-α)]4(n=4),1-(1-α)1/4、1-(1-α)1/3、1-(1-α)1/2 |
23#~27# | 1/2(1-α)-1(n=2)、1/3(1-α)-2(n=3)、1/4(1-α)-3(n=4)、(1-α)2,(1-α)2 | 1-(1-α)2(n=2)、1-(1-α)3(n=3)、1-(1-α)4(n=4)、(1-α)-1、(1-α)-1-1 |
28#~31# | 2(1-α)3/2、1/2(1-α)3、4(1-α)1/2[1-(1-α)1/2]1/2、(1-α)1/2[1-(1-α)1/2]-1 | (1-α)-1/2、(1-α)-2、[1-(1-α)1/2]1/2、[1-(1-α) 1/2]2 |
32#~33# | 6(1-α)2/3[1-(1-α)1/3]1/2、3/2(1-α)2/3[1-(1-α)1/3]-1 | [1-(1-α)1/3]1/2、[1-(1-α)1/3]2 |
34# | 3/2(1+α)2/3[(1+α)1/3-1]-1 | [(1+α)1/3-1]2 |
序号 | 微分形式机理函数f(α) | 积分形式机理函数g(α) |
---|---|---|
1#~6# | 4α3/4、3α2/3、2α1/2、1、1/2α-1、2/3α-1/2 | α1/4、α1/3、α1/2、α、α2、α3/2 |
7#~9# | [-ln(1-α)]-1、3/2[(1-α)-1/3-1]-1、2(1-α)[-ln(1-α)]1/2(n=1/2) | α+(1-α)ln(1-α)、1-2α/3-(1-α)2/3、[-ln(1-α)]1/2(n=1/2) |
10#~11# | 4(1-α)[-ln(1-α)]3/4(n=1/4)、3(1-α)[-ln(1-α)]2/3(n=1/3) | [-ln(1-α)]1/4(n=1/4)、[-ln(1-α)]1/3(n=1/3) |
12#~13# | 5/2(1-α)[-ln(1-α)]3/5(n=2/5)、3/2(1-α)[-ln(1-α)]1/3(n=2/3) | [-ln(1-α)]2/5(n=2/5)、[-ln(1-α)]2/3(n=2/3) |
14#~16# | 4/3(1-α)[-ln(1-α)]1/4(n=3/4)、1-α(n=1)、 2/3(1-α)[-ln(1-α)]-1/2(n=3/2) | [-ln(1-α)]3/4(n=3/4)、-ln(1-α)(n=1) [-ln(1-α)]3/2(n=3/2) |
17#~18# | 1/2(1-α)[-ln(1-α)]-1(n=2),1/3(1-α)[-ln(1-α)]-2(n=3) | [-ln(1-α)]2(n=2),[-ln(1-α)]3(n=3) |
19#~22# | 1/4(1-α)[-ln(1-α)]-3(n=4),4(1-α)3/4、3(1-α)2/3、2(1-α)1/2 | [-ln(1-α)]4(n=4),1-(1-α)1/4、1-(1-α)1/3、1-(1-α)1/2 |
23#~27# | 1/2(1-α)-1(n=2)、1/3(1-α)-2(n=3)、1/4(1-α)-3(n=4)、(1-α)2,(1-α)2 | 1-(1-α)2(n=2)、1-(1-α)3(n=3)、1-(1-α)4(n=4)、(1-α)-1、(1-α)-1-1 |
28#~31# | 2(1-α)3/2、1/2(1-α)3、4(1-α)1/2[1-(1-α)1/2]1/2、(1-α)1/2[1-(1-α)1/2]-1 | (1-α)-1/2、(1-α)-2、[1-(1-α)1/2]1/2、[1-(1-α) 1/2]2 |
32#~33# | 6(1-α)2/3[1-(1-α)1/3]1/2、3/2(1-α)2/3[1-(1-α)1/3]-1 | [1-(1-α)1/3]1/2、[1-(1-α)1/3]2 |
34# | 3/2(1+α)2/3[(1+α)1/3-1]-1 | [(1+α)1/3-1]2 |
g(α)机理函数序号 | β/k·min-1 | EC/kJ·mol-1 | r | SD | lg(Ac/s-1) | |(EO-Ec)/EO| | |(lgAC-lgAk)/lgAk| |
---|---|---|---|---|---|---|---|
13# | 10 | 85.97 | 0.981 3 | 0.049 4 | 6.262 6 | 0.510 9 | 0.508 4 |
14# | 97.99 | 0.981 8 | 0.062 5 | 7.281 3 | 0.442 6 | 0.428 5 | |
15# | 134.06 | 0.982 7 | 0.110 9 | 10.303 0 | 0.237 4 | 0.191 3 | |
16# | 206.20 | 0.983 5 | 0.249 1 | 16.261 1 | 0.173 0 | 0.276 4 | |
20# | 125.73 | 0.982 4 | 0.0994 | 8.925 4 | 0.284 8 | 0.299 4 | |
21# | 123.32 | 0.981 2 | 0.102 2 | 8.825 2 | 0.298 5 | 0.307 3 | |
13# | 20 | 78.79 | 0.981 6 | 0.049 0 | 5.784 0 | 0.551 8 | 0.546 0 |
14# | 89.94 | 0.982 1 | 0.062 0 | 6.712 6 | 0.488 4 | 0.473 1 | |
15# | 123.38 | 0.983 1 | 0.110 2 | 9.463 1 | 0.298 1 | 0.257 2 | |
16# | 190.27 | 0.984 0 | 0.247 9 | 14.877 8 | 0.082 4 | 0.167 8 | |
20# | 115.00 | 0.985 2 | 0.083 3 | 8.088 2 | 0.345 8 | 0.365 1 | |
21# | 112.64 | 0.984 5 | 0.084 0 | 7.994 3 | 0.359 3 | 0.372 5 | |
13# | 30 | 64.16 | 0.992 6 | 0.020 2 | 4.471 5 | 0.635 0 | 0.649 0 |
14# | 73.54 | 0.993 0 | 0.025 4 | 5.232 4 | 0.581 6 | 0.589 3 | |
15# | 101.69 | 0.993 6 | 0.044 5 | 7.477 9 | 0.421 5 | 0.413 0 | |
16# | 157.98 | 0.994 1 | 0.098 4 | 11.878 8 | 0.101 3 | 0.067 6 | |
20# | 93.71 | 0.988 6 | 0.067 2 | 6.147 5 | 0.466 9 | 0.517 5 | |
21# | 90.80 | 0.986 3 | 0.077 5 | 6.007 2 | 0.483 5 | 0.528 5 | |
13# | 40 | 76.05 | 0.990 2 | 0.026 8 | 5.573 0 | 0.567 4 | 0.562 6 |
14# | 86.93 | 0.990 5 | 0.033 9 | 6.446 4 | 0.505 5 | 0.494 0 | |
15# | 119.57 | 0.991 0 | 0.060 3 | 9.030 8 | 0.319 8 | 0.291 1 | |
16# | 184.86 | 0.991 5 | 0.135 7 | 14.111 9 | 0.051 6 | 0.107 7 | |
20# | 108.07 | 0.991 0 | 0.049 4 | 7.414 4 | 0.385 2 | 0.418 0 | |
21# | 104.92 | 0.989 2 | 0.055 8 | 7.260 2 | 0.403 1 | 0.430 1 |
g(α)机理函数序号 | β/k·min-1 | EC/kJ·mol-1 | r | SD | lg(Ac/s-1) | |(EO-Ec)/EO| | |(lgAC-lgAk)/lgAk| |
---|---|---|---|---|---|---|---|
13# | 10 | 85.97 | 0.981 3 | 0.049 4 | 6.262 6 | 0.510 9 | 0.508 4 |
14# | 97.99 | 0.981 8 | 0.062 5 | 7.281 3 | 0.442 6 | 0.428 5 | |
15# | 134.06 | 0.982 7 | 0.110 9 | 10.303 0 | 0.237 4 | 0.191 3 | |
16# | 206.20 | 0.983 5 | 0.249 1 | 16.261 1 | 0.173 0 | 0.276 4 | |
20# | 125.73 | 0.982 4 | 0.0994 | 8.925 4 | 0.284 8 | 0.299 4 | |
21# | 123.32 | 0.981 2 | 0.102 2 | 8.825 2 | 0.298 5 | 0.307 3 | |
13# | 20 | 78.79 | 0.981 6 | 0.049 0 | 5.784 0 | 0.551 8 | 0.546 0 |
14# | 89.94 | 0.982 1 | 0.062 0 | 6.712 6 | 0.488 4 | 0.473 1 | |
15# | 123.38 | 0.983 1 | 0.110 2 | 9.463 1 | 0.298 1 | 0.257 2 | |
16# | 190.27 | 0.984 0 | 0.247 9 | 14.877 8 | 0.082 4 | 0.167 8 | |
20# | 115.00 | 0.985 2 | 0.083 3 | 8.088 2 | 0.345 8 | 0.365 1 | |
21# | 112.64 | 0.984 5 | 0.084 0 | 7.994 3 | 0.359 3 | 0.372 5 | |
13# | 30 | 64.16 | 0.992 6 | 0.020 2 | 4.471 5 | 0.635 0 | 0.649 0 |
14# | 73.54 | 0.993 0 | 0.025 4 | 5.232 4 | 0.581 6 | 0.589 3 | |
15# | 101.69 | 0.993 6 | 0.044 5 | 7.477 9 | 0.421 5 | 0.413 0 | |
16# | 157.98 | 0.994 1 | 0.098 4 | 11.878 8 | 0.101 3 | 0.067 6 | |
20# | 93.71 | 0.988 6 | 0.067 2 | 6.147 5 | 0.466 9 | 0.517 5 | |
21# | 90.80 | 0.986 3 | 0.077 5 | 6.007 2 | 0.483 5 | 0.528 5 | |
13# | 40 | 76.05 | 0.990 2 | 0.026 8 | 5.573 0 | 0.567 4 | 0.562 6 |
14# | 86.93 | 0.990 5 | 0.033 9 | 6.446 4 | 0.505 5 | 0.494 0 | |
15# | 119.57 | 0.991 0 | 0.060 3 | 9.030 8 | 0.319 8 | 0.291 1 | |
16# | 184.86 | 0.991 5 | 0.135 7 | 14.111 9 | 0.051 6 | 0.107 7 | |
20# | 108.07 | 0.991 0 | 0.049 4 | 7.414 4 | 0.385 2 | 0.418 0 | |
21# | 104.92 | 0.989 2 | 0.055 8 | 7.260 2 | 0.403 1 | 0.430 1 |
g(α)机理函数序号 | β/k·min-1 | EC/kJ·mol-1 | r | SD | lg(Ac/s-1) | |(EO-Ec)/EO| | |(lgAC-lgAk)/lgAk| |
---|---|---|---|---|---|---|---|
13# | 10 | 148.54 | 0.985 4 | 0.041 4 | 16.723 1 | 0.109 5 | 0.039 5 |
14# | 168.04 | 0.985 6 | 0.052 4 | 18.983 0 | 0.007 4 | 0.090 4 | |
15# | 226.56 | 0.985 9 | 0.093 1 | 25.731 8 | 0.358 2 | 0.4780 | |
20# | 209.29 | 0.983 2 | 0.095 1 | 23.050 0 | 0.254 6 | 0.324 0 | |
21# | 204.47 | 0.980 9 | 0.103 3 | 22.594 3 | 0.225 8 | 0.297 8 | |
13# | 20 | 134.95 | 0.984 2 | 0.035 9 | 15.387 2 | 0.191 0 | 0.116 2 |
14# | 152.75 | 0.984 4 | 0.045 4 | 17.448 0 | 0.084 3 | 0.002 2 | |
15# | 206.18 | 0.984 8 | 0.080 6 | 23.599 2 | 0.236 0 | 0.355 5 | |
20# | 197.09 | 0.982 4 | 0.093 5 | 21.897 3 | 0.181 5 | 0.257 7 | |
21# | 191.52 | 0.980 4 | 0.098 5 | 21.352 0 | 0.148 1 | 0.226 4 | |
13# | 30 | 175.70 | 0.982 9 | 0.058 3 | 20.429 4 | 0.053 3 | 0.173 4 |
14# | 198.60 | 0.983 1 | 0.073 7 | 23.082 8 | 0.190 6 | 0.325 8 | |
15# | 267.29 | 0.983 4 | 0.130 9 | 31.012 4 | 0.602 4 | 0.781 3 | |
20# | 255.27 | 0.983 3 | 0.137 8 | 28.961 7 | 0.530 3 | 0.663 5 | |
21# | 247.49 | 0.980 7 | 0.150 6 | 28.153 1 | 0.483 6 | 0.617 1 | |
13# | 40 | 87.39 | 0.984 4 | 0.044 0 | 9.858 2 | 0.476 1 | 0.433 8 |
14# | 99.26 | 0.984 8 | 0.055 6 | 11.216 6 | 0.404 9 | 0.355 7 | |
15# | 134.88 | 0.985 4 | 0.098 4 | 15.259 1 | 0.191 4 | 0.123 5 | |
20# | 128.12 | 0.983 0 | 0.113 8 | 13.826 4 | 0.232 0 | 0.205 8 | |
21# | 124.26 | 0.980 3 | 0.124 7 | 13.480 9 | 0.255 1 | 0.225 7 |
g(α)机理函数序号 | β/k·min-1 | EC/kJ·mol-1 | r | SD | lg(Ac/s-1) | |(EO-Ec)/EO| | |(lgAC-lgAk)/lgAk| |
---|---|---|---|---|---|---|---|
13# | 10 | 148.54 | 0.985 4 | 0.041 4 | 16.723 1 | 0.109 5 | 0.039 5 |
14# | 168.04 | 0.985 6 | 0.052 4 | 18.983 0 | 0.007 4 | 0.090 4 | |
15# | 226.56 | 0.985 9 | 0.093 1 | 25.731 8 | 0.358 2 | 0.4780 | |
20# | 209.29 | 0.983 2 | 0.095 1 | 23.050 0 | 0.254 6 | 0.324 0 | |
21# | 204.47 | 0.980 9 | 0.103 3 | 22.594 3 | 0.225 8 | 0.297 8 | |
13# | 20 | 134.95 | 0.984 2 | 0.035 9 | 15.387 2 | 0.191 0 | 0.116 2 |
14# | 152.75 | 0.984 4 | 0.045 4 | 17.448 0 | 0.084 3 | 0.002 2 | |
15# | 206.18 | 0.984 8 | 0.080 6 | 23.599 2 | 0.236 0 | 0.355 5 | |
20# | 197.09 | 0.982 4 | 0.093 5 | 21.897 3 | 0.181 5 | 0.257 7 | |
21# | 191.52 | 0.980 4 | 0.098 5 | 21.352 0 | 0.148 1 | 0.226 4 | |
13# | 30 | 175.70 | 0.982 9 | 0.058 3 | 20.429 4 | 0.053 3 | 0.173 4 |
14# | 198.60 | 0.983 1 | 0.073 7 | 23.082 8 | 0.190 6 | 0.325 8 | |
15# | 267.29 | 0.983 4 | 0.130 9 | 31.012 4 | 0.602 4 | 0.781 3 | |
20# | 255.27 | 0.983 3 | 0.137 8 | 28.961 7 | 0.530 3 | 0.663 5 | |
21# | 247.49 | 0.980 7 | 0.150 6 | 28.153 1 | 0.483 6 | 0.617 1 | |
13# | 40 | 87.39 | 0.984 4 | 0.044 0 | 9.858 2 | 0.476 1 | 0.433 8 |
14# | 99.26 | 0.984 8 | 0.055 6 | 11.216 6 | 0.404 9 | 0.355 7 | |
15# | 134.88 | 0.985 4 | 0.098 4 | 15.259 1 | 0.191 4 | 0.123 5 | |
20# | 128.12 | 0.983 0 | 0.113 8 | 13.826 4 | 0.232 0 | 0.205 8 | |
21# | 124.26 | 0.980 3 | 0.124 7 | 13.480 9 | 0.255 1 | 0.225 7 |
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