Chem. J. Chinese Universities ›› 2015, Vol. 36 ›› Issue (1): 142.doi: 10.7503/cjcu20140661
• Physical Chemistry • Previous Articles Next Articles
SHEN Cheng, WANG Pengcheng, ZHAO Guozheng, LU Ming*()
Received:
2014-07-16
Revised:
2014-12-11
Online:
2015-01-10
Published:
2014-12-11
Contact:
LU Ming
E-mail:luming@mail.njust.edu.cn
Supported by:
CLC Number:
TrendMD:
SHEN Cheng, WANG Pengcheng, ZHAO Guozheng, LU Ming. Calculation Study on the Derivatives of N,N'-(1,3,4,5,7,8-Hexanitrooctahydro-diimidazo[4,5-b∶4',5'-e]-pyrazine-2,6(1H,3H)-diylidene)dinitramide†[J]. Chem. J. Chinese Universities, 2015, 36(1): 142.
Number of nitro group, n | Substituents at different positions | ΔG/a.u. | Number of nitro group, n | Substituents at different positions | ΔG/a.u. |
---|---|---|---|---|---|
1 | 3or 6 | -877.8980 | 3 | 12,13,15 | -1286.7079 |
10 | -877.8815 | 4 | 3,6,13,15 | -1491.1448* | |
12 | -877.8911 | 6,7,13,15 | -1491.1201 | ||
13or 15 | -877.9045* | 6,9,13,15 | -1491.1170 | ||
2 | 3,15 | -1082.3214 | 6,12,13,15 | -1491.1078 | |
6,15 | -1082.3182 | 6,10,13,15 | -1491.1274 | ||
13,15 | -1082.3274* | 6 | 3,6,7,10,13,15 | -1899.9057* | |
12,15 | -1082.2860 | 3,6,7,9,10,12 | -1899.7873 | ||
10,15 | -1082.2977 | 3,6,9,12,13,15 | -1899.8811 | ||
7,15 | -1082.3037 | 3,6,7,9,13,15 | -1899.8923 | ||
9,15 | -1082.3147 | 3,6,7,9,10,13 | -1899.8655 | ||
3 | 7,13,15 | -1286.7178 | 3,6,7,9,12,13 | -1899.8731 | |
6,13,15 | -1286.7390* | 3,6,9,12,13,15 | -1899.8471 |
Table 1 Gibbs free energy of different isomers of products
Number of nitro group, n | Substituents at different positions | ΔG/a.u. | Number of nitro group, n | Substituents at different positions | ΔG/a.u. |
---|---|---|---|---|---|
1 | 3or 6 | -877.8980 | 3 | 12,13,15 | -1286.7079 |
10 | -877.8815 | 4 | 3,6,13,15 | -1491.1448* | |
12 | -877.8911 | 6,7,13,15 | -1491.1201 | ||
13or 15 | -877.9045* | 6,9,13,15 | -1491.1170 | ||
2 | 3,15 | -1082.3214 | 6,12,13,15 | -1491.1078 | |
6,15 | -1082.3182 | 6,10,13,15 | -1491.1274 | ||
13,15 | -1082.3274* | 6 | 3,6,7,10,13,15 | -1899.9057* | |
12,15 | -1082.2860 | 3,6,7,9,10,12 | -1899.7873 | ||
10,15 | -1082.2977 | 3,6,9,12,13,15 | -1899.8811 | ||
7,15 | -1082.3037 | 3,6,7,9,13,15 | -1899.8923 | ||
9,15 | -1082.3147 | 3,6,7,9,10,13 | -1899.8655 | ||
3 | 7,13,15 | -1286.7178 | 3,6,7,9,12,13 | -1899.8731 | |
6,13,15 | -1286.7390* | 3,6,9,12,13,15 | -1899.8471 |
n | Substituents at different positions | ΔG/a.u. | n | Substituents at different positions | ΔG/a.u. |
---|---|---|---|---|---|
1 | 3 or 6 | -878.453902 | 3 | 12,13,15 | -1287.440223 |
10 | -878.502922 | 4 | 3,6,13,15 | -1491.905341 | |
12 | -878.503118 | 6,7,13,15 | -1491.908054 | ||
13 or 15 | -878.553303* | 6,9,13,15 | -1491.906215 | ||
2 | 3,15 | -1082.970770 | 6,12,13,15 | -1491.905037 | |
6,15 | -1082.988675 | 6,10,13,15 | -1491.908688* | ||
13,15 | -1083.033147* | 5 | 6,10,12,13,15 | -1696.349390 | |
12,15 | -1082.959903 | 6,7,10,13,15 | -1696.358696 | ||
10,15 | -1082.966772 | 6,9,10,13,15 | -1696.357203 | ||
7,15 | -1082.979181 | 3,6,10,13,15 | -1696.358877* | ||
9,15 | -1082.975842 | 6 | 3,6,10,12,13,15 | -1900.808901 | |
3 | 7,13,15 | -1287.442363 | 3,6,7,10,13,15 | -1900.817404* | |
6,13,15 | -1287.443045* | 3,6,9,10,13,15 | -1900.816813 |
Table 2 Gibbs free energy of different isomers of transfiton state
n | Substituents at different positions | ΔG/a.u. | n | Substituents at different positions | ΔG/a.u. |
---|---|---|---|---|---|
1 | 3 or 6 | -878.453902 | 3 | 12,13,15 | -1287.440223 |
10 | -878.502922 | 4 | 3,6,13,15 | -1491.905341 | |
12 | -878.503118 | 6,7,13,15 | -1491.908054 | ||
13 or 15 | -878.553303* | 6,9,13,15 | -1491.906215 | ||
2 | 3,15 | -1082.970770 | 6,12,13,15 | -1491.905037 | |
6,15 | -1082.988675 | 6,10,13,15 | -1491.908688* | ||
13,15 | -1083.033147* | 5 | 6,10,12,13,15 | -1696.349390 | |
12,15 | -1082.959903 | 6,7,10,13,15 | -1696.358696 | ||
10,15 | -1082.966772 | 6,9,10,13,15 | -1696.357203 | ||
7,15 | -1082.979181 | 3,6,10,13,15 | -1696.358877* | ||
9,15 | -1082.975842 | 6 | 3,6,10,12,13,15 | -1900.808901 | |
3 | 7,13,15 | -1287.442363 | 3,6,7,10,13,15 | -1900.817404* | |
6,13,15 | -1287.443045* | 3,6,9,10,13,15 | -1900.816813 |
Compound | Bond | Bond order | Bond | Bond order | Bond | Bond order |
---|---|---|---|---|---|---|
R4 | C2—N3 | 0.9251 | C1—H17 | 0.8525 | N3—N24 | 1.0177 |
R5 | C4—N10 | 0.9173 | C4—H19 | 0.8348 | N7—N25 | 0.9395 |
R6 | C1—N7 | 0.9204 | C4—H19 | 0.8336 | N7—N22 | 0.9330 |
R7 | C4—N10 | 0.9187 | C5—H18 | 0.8247 | N7—N25 | 0.8992 |
Table 3 Bond order of several typical bonds in intermediate products of ONIP
Compound | Bond | Bond order | Bond | Bond order | Bond | Bond order |
---|---|---|---|---|---|---|
R4 | C2—N3 | 0.9251 | C1—H17 | 0.8525 | N3—N24 | 1.0177 |
R5 | C4—N10 | 0.9173 | C4—H19 | 0.8348 | N7—N25 | 0.9395 |
R6 | C1—N7 | 0.9204 | C4—H19 | 0.8336 | N7—N22 | 0.9330 |
R7 | C4—N10 | 0.9187 | C5—H18 | 0.8247 | N7—N25 | 0.8992 |
Compound | EHOMO/a.u. | ELUMO/a.u. | ΔELUMO-HOMO/a.u. | ΔELUMO-HOMO/eV |
---|---|---|---|---|
R4 | -0.29843 | -0.12389 | 0.17454 | 4.74947 |
R5 | -0.30202 | -0.12904 | 0.17298 | 4.70702 |
R6 | -0.31713 | -0.13292 | 0.18421 | 5.01261 |
R7 | -0.31902 | -0.15015 | 0.16887 | 4.59518 |
Table 4 HOMO and LUMO energy levels
Compound | EHOMO/a.u. | ELUMO/a.u. | ΔELUMO-HOMO/a.u. | ΔELUMO-HOMO/eV |
---|---|---|---|---|
R4 | -0.29843 | -0.12389 | 0.17454 | 4.74947 |
R5 | -0.30202 | -0.12904 | 0.17298 | 4.70702 |
R6 | -0.31713 | -0.13292 | 0.18421 | 5.01261 |
R7 | -0.31902 | -0.15015 | 0.16887 | 4.59518 |
Compound | M/(g·mol-1) | Vm/(cm3·mol-1) | Density, ρ/(g·cm-3) |
---|---|---|---|
R4 | 376.06 | 205.994 | 1.8256 |
R5 | 421.04 | 220.855 | 1.9064 |
R6 | 466.03 | 237.981 | 1.9583 |
R7 | 511.01 | 255.677 | 1.9986 |
ONIP | 556.19 | 273.929 | 2.0304 |
Table 5 Theoretical density of compounds
Compound | M/(g·mol-1) | Vm/(cm3·mol-1) | Density, ρ/(g·cm-3) |
---|---|---|---|
R4 | 376.06 | 205.994 | 1.8256 |
R5 | 421.04 | 220.855 | 1.9064 |
R6 | 466.03 | 237.981 | 1.9583 |
R7 | 511.01 | 255.677 | 1.9986 |
ONIP | 556.19 | 273.929 | 2.0304 |
Compound | E0/a.u. | ZPEa/a.u. | Δ/a.u. | HOF(Gas)/a.u. |
---|---|---|---|---|
R4 | -1491.070535 | 0.222742 | 0.022700 | 0.397388 |
R5 | -1695.444615 | 0.223969 | 0.025390 | 0.434876 |
R6 | -1899.818203 | 0.224961 | 0.028145 | 0.472618 |
R7 | -2104.179804 | 0.225913 | 0.030923 | 0.514093 |
ONIP | -2308.540561 | 0.227173 | 0.033611 | 0.573171 |
Table 6 Total energies(E0), zero-point energies(ZPE), thermal corrections(ΔHT), and HOFs(Gas) for intermediate products of ONIP
Compound | E0/a.u. | ZPEa/a.u. | Δ/a.u. | HOF(Gas)/a.u. |
---|---|---|---|---|
R4 | -1491.070535 | 0.222742 | 0.022700 | 0.397388 |
R5 | -1695.444615 | 0.223969 | 0.025390 | 0.434876 |
R6 | -1899.818203 | 0.224961 | 0.028145 | 0.472618 |
R7 | -2104.179804 | 0.225913 | 0.030923 | 0.514093 |
ONIP | -2308.540561 | 0.227173 | 0.033611 | 0.573171 |
Compound | As/nm2 | ν/(a.u.)2 | ΔH(sub)/a.u. | HOF(solid)/a.u. |
---|---|---|---|---|
R4 | 11.1626 | 0.00019326 | 0.070453 | 0.32693 |
R5 | 11.9044 | 0.00016099 | 0.078957 | 0.35592 |
R6 | 12.6869 | 0.00012693 | 0.088464 | 0.38415 |
R7 | 13.1211 | 0.00010548 | 0.093835 | 0.42026 |
ONIP | 13.6579 | 0.00007933 | 0.100640 | 0.47253 |
Table 7 Heat of sublimation and solid phase HOF for intermediate products of ONIP
Compound | As/nm2 | ν/(a.u.)2 | ΔH(sub)/a.u. | HOF(solid)/a.u. |
---|---|---|---|---|
R4 | 11.1626 | 0.00019326 | 0.070453 | 0.32693 |
R5 | 11.9044 | 0.00016099 | 0.078957 | 0.35592 |
R6 | 12.6869 | 0.00012693 | 0.088464 | 0.38415 |
R7 | 13.1211 | 0.00010548 | 0.093835 | 0.42026 |
ONIP | 13.6579 | 0.00007933 | 0.100640 | 0.47253 |
Compound | Density/(g·cm-3) | Q/(J·g-1) | D/(km·s-1) | p/GPa |
---|---|---|---|---|
R4 | 1.8256 | 1659.8 | 8.8805 | 35.278 |
R5 | 1.9064 | 1736.2 | 9.3564 | 40.164 |
R6 | 1.9583 | 1796.8 | 9.6947 | 43.785 |
R7 | 1.9986 | 1856.4 | 9.9785 | 46.918 |
ONIP | 2.0304 | 1755.5 | 9.9489 | 47.049 |
Table 8 Calculated densities, chemical energies of detonation(Q), detonation velocities(D), and detonation pressures(p) of intermediate products of ONIP
Compound | Density/(g·cm-3) | Q/(J·g-1) | D/(km·s-1) | p/GPa |
---|---|---|---|---|
R4 | 1.8256 | 1659.8 | 8.8805 | 35.278 |
R5 | 1.9064 | 1736.2 | 9.3564 | 40.164 |
R6 | 1.9583 | 1796.8 | 9.6947 | 43.785 |
R7 | 1.9986 | 1856.4 | 9.9785 | 46.918 |
ONIP | 2.0304 | 1755.5 | 9.9489 | 47.049 |
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