Chem. J. Chinese Universities ›› 2014, Vol. 35 ›› Issue (11): 2377.doi: 10.7503/cjcu20140605
• Physical Chemistry • Previous Articles Next Articles
FANG Xinyan, WANG Wenyong, WANG Jiao, LI Xiaoqian, SONG Hongjuan, QIU Yongqing*()
Received:
2014-07-02
Online:
2014-11-10
Published:
2014-10-21
Contact:
QIU Yongqing
E-mail:qiuyq466@nenu.edu.cn
Supported by:
CLC Number:
TrendMD:
FANG Xinyan, WANG Wenyong, WANG Jiao, LI Xiaoqian, SONG Hongjuan, QIU Yongqing. Theoretical Studies on the Structures and Second-order Nonlinear Optical Properties of 12-Vertex Fluorocarborane Molecules†[J]. Chem. J. Chinese Universities, 2014, 35(11): 2377.
Molecule | C1—C2 | C1—B(mean) | C2—B(mean) | B9—B12 | B9—B(mean) | B12—B(mean) |
---|---|---|---|---|---|---|
1a | 0.1624 | 0.1694 | 0.1694 | 0.1806 | 0.1800 | 0.1800 |
1b | 0.1614 | 0.1697 | 0.1697 | 0.1789 | 0.1781 | 0.1781 |
1c | 0.1622 | 0.1698 | 0.1697 | 0.1779 | 0.1775 | 0.1775 |
2a | 0.1637 | 0.1706 | 0.1706 | 0.1812 | 0.1795 | 0.1795 |
3a | 0.1639 | 0.1703 | 0.1703 | 0.1810 | 0.1796 | 0.1796 |
3a[ | 0.1670 | 0.1717 | 0.1710 | 0.1816 | 0.1795 | 0.1800 |
4a | 0.1645 | 0.1710 | 0.1710 | 0.1815 | 0.1794 | 0.1794 |
4a' | 0.1642 | 0.1713 | 0.1713 | 0.1818 | 0.1794 | 0.1793 |
4a″ | 0.1642 | 0.1715 | 0.1715 | 0.1821 | 0.1793 | 0.1793 |
Table 1 Distances(nm) between some atoms of all molecules
Molecule | C1—C2 | C1—B(mean) | C2—B(mean) | B9—B12 | B9—B(mean) | B12—B(mean) |
---|---|---|---|---|---|---|
1a | 0.1624 | 0.1694 | 0.1694 | 0.1806 | 0.1800 | 0.1800 |
1b | 0.1614 | 0.1697 | 0.1697 | 0.1789 | 0.1781 | 0.1781 |
1c | 0.1622 | 0.1698 | 0.1697 | 0.1779 | 0.1775 | 0.1775 |
2a | 0.1637 | 0.1706 | 0.1706 | 0.1812 | 0.1795 | 0.1795 |
3a | 0.1639 | 0.1703 | 0.1703 | 0.1810 | 0.1796 | 0.1796 |
3a[ | 0.1670 | 0.1717 | 0.1710 | 0.1816 | 0.1795 | 0.1800 |
4a | 0.1645 | 0.1710 | 0.1710 | 0.1815 | 0.1794 | 0.1794 |
4a' | 0.1642 | 0.1713 | 0.1713 | 0.1818 | 0.1794 | 0.1793 |
4a″ | 0.1642 | 0.1715 | 0.1715 | 0.1821 | 0.1793 | 0.1793 |
Molecule | Three-center bond |
---|---|
1a | C1—B4—B5, C2—B7—B11, B3—B4—B5, B4—B5—B9, B6—B10—B11, B7—B8—B12, B8—B9—B12, B9—B10—B12 |
1b | C1—B3—B4, C1—B4—B5, C1—B5—B6, C2—B3—B7, C2—B6—B11, B3—B3—B8, B4—B5—B9, B5—B6—B10, |
B7—B8—B12, B7—B11—B12, B8—B9—B12, B9—B10—B12 |
Table 2 Three-center bonds of molecules 1a and 1c
Molecule | Three-center bond |
---|---|
1a | C1—B4—B5, C2—B7—B11, B3—B4—B5, B4—B5—B9, B6—B10—B11, B7—B8—B12, B8—B9—B12, B9—B10—B12 |
1b | C1—B3—B4, C1—B4—B5, C1—B5—B6, C2—B3—B7, C2—B6—B11, B3—B3—B8, B4—B5—B9, B5—B6—B10, |
B7—B8—B12, B7—B11—B12, B8—B9—B12, B9—B10—B12 |
Molecule | NBO charge/e | 1030 μz/(C·m) | 1030 μ/(C·m) | αs/a.u. | ||
---|---|---|---|---|---|---|
Ⅰ | Ⅱ | Ⅲ | ||||
1a | -1.786 | 1.786 | 23.0 | 23.0 | 122.8 | |
1b | -0.382 | 0.382 | 29.0 | 29.0 | 172.4 | |
1c | -1.228 | 1.228 | 27.3 | 27.3 | 183.3 | |
2a | -1.794 | 1.520 | 0.274 | 28.9 | 28.9 | 163.1 |
3a | -1.792 | 1.552 | 0.240 | 30.3 | 30.3 | 208.2 |
4a | -1.788 | 1.551 | 0.266 | 44.0 | 44.0 | 165.1 |
4a' | -1.788 | 1.525 | 0.264 | 30.4 | 30.4 | 223.7 |
4a″ | -1.789 | 1.517 | 0.272 | 33.4 | 33.4 | 296.4 |
Table 3 NBO charges, dipole moments and polarizabilities of all molecules
Molecule | NBO charge/e | 1030 μz/(C·m) | 1030 μ/(C·m) | αs/a.u. | ||
---|---|---|---|---|---|---|
Ⅰ | Ⅱ | Ⅲ | ||||
1a | -1.786 | 1.786 | 23.0 | 23.0 | 122.8 | |
1b | -0.382 | 0.382 | 29.0 | 29.0 | 172.4 | |
1c | -1.228 | 1.228 | 27.3 | 27.3 | 183.3 | |
2a | -1.794 | 1.520 | 0.274 | 28.9 | 28.9 | 163.1 |
3a | -1.792 | 1.552 | 0.240 | 30.3 | 30.3 | 208.2 |
4a | -1.788 | 1.551 | 0.266 | 44.0 | 44.0 | 165.1 |
4a' | -1.788 | 1.525 | 0.264 | 30.4 | 30.4 | 223.7 |
4a″ | -1.789 | 1.517 | 0.272 | 33.4 | 33.4 | 296.4 |
Molecule | Method | βx/a.u. | βy/a.u. | βz/a.u. | βtot/a.u. | β1.910/a.u. | β1.340/a.u. |
---|---|---|---|---|---|---|---|
1a | PBE1PBE | 2.5 | -3.9 | 463.6 | 463.6 | 485.6 | 499.4 |
B3PW91 | 2.6 | -3.9 | 472.8 | 472.9 | |||
1b | PBE1PBE | 1.2 | -4.1 | 435.8 | 435.8 | 455.4 | 465.9 |
B3PW91 | 1.3 | -4.3 | 453.5 | 453.6 | |||
1c | PBE1PBE | -9.0 | 1.0 | 575.9 | 576.0 | 605.5 | 632.6 |
B3PW91 | 12.7 | -5.3 | 615.5 | 615.7 | |||
2a | PBE1PBE | -0.8 | 0.4 | 444.6 | 444.6 | 467.4 | 481.3 |
B3PW91 | -0.8 | 0.4 | 453.4 | 453.4 | |||
3a | PBE1PBE | -10.3 | -37.3 | 585.2 | 586.5 | 625.5 | 646.8 |
B3PW91 | -10.4 | -36.3 | 593.0 | 594.2 | |||
4a | PBE1PBE | 7.6 | 0.6 | 651.8 | 651.8 | 693.0 | 722.2 |
B3PW91 | 7.9 | 0.6 | 675.7 | 675.7 | |||
4a' | PBE1PBE | 3.8 | 1.8 | 896.5 | 896.5 | 973.9 | 973.9 |
B3PW91 | 4.1 | 1.9 | 962.7 | 962.7 | |||
4a″ | PBE1PBE | 11.2 | 2.5 | 753.4 | 753.4 | 690.4 | 1243.8 |
B3PW91 | 12.9 | 2.9 | 870.8 | 870.9 | — |
Table 4 First hyperpolarizabilities(β) and the frequency-dependent values of all molecules at ω=1.910 μm(0.0239 eV) and 1.340 μm(0.0340 eV)
Molecule | Method | βx/a.u. | βy/a.u. | βz/a.u. | βtot/a.u. | β1.910/a.u. | β1.340/a.u. |
---|---|---|---|---|---|---|---|
1a | PBE1PBE | 2.5 | -3.9 | 463.6 | 463.6 | 485.6 | 499.4 |
B3PW91 | 2.6 | -3.9 | 472.8 | 472.9 | |||
1b | PBE1PBE | 1.2 | -4.1 | 435.8 | 435.8 | 455.4 | 465.9 |
B3PW91 | 1.3 | -4.3 | 453.5 | 453.6 | |||
1c | PBE1PBE | -9.0 | 1.0 | 575.9 | 576.0 | 605.5 | 632.6 |
B3PW91 | 12.7 | -5.3 | 615.5 | 615.7 | |||
2a | PBE1PBE | -0.8 | 0.4 | 444.6 | 444.6 | 467.4 | 481.3 |
B3PW91 | -0.8 | 0.4 | 453.4 | 453.4 | |||
3a | PBE1PBE | -10.3 | -37.3 | 585.2 | 586.5 | 625.5 | 646.8 |
B3PW91 | -10.4 | -36.3 | 593.0 | 594.2 | |||
4a | PBE1PBE | 7.6 | 0.6 | 651.8 | 651.8 | 693.0 | 722.2 |
B3PW91 | 7.9 | 0.6 | 675.7 | 675.7 | |||
4a' | PBE1PBE | 3.8 | 1.8 | 896.5 | 896.5 | 973.9 | 973.9 |
B3PW91 | 4.1 | 1.9 | 962.7 | 962.7 | |||
4a″ | PBE1PBE | 11.2 | 2.5 | 753.4 | 753.4 | 690.4 | 1243.8 |
B3PW91 | 12.9 | 2.9 | 870.8 | 870.9 | — |
Molecule | λ/nm | Egm/eV | Major contribution |
---|---|---|---|
1a | 179.3 | 6.91 | H→L+1(85%) |
1b | 158.1 | 7.84 | H-5→L(36%), H-2→L+3(23%), H-4→L+1(19%) |
1c | 242.3 | 5.12 | H-3→L(68%), H-1→L(19%) |
2a | 150.1 | 8.26 | H-3→L+4(33%), H-4→L+1(29%), H-2→L+7(23%) |
3a | 191.2 | 6.49 | H-1→L+1(36%), H-1→L+3(35%), H→L(19%) |
4a | 210.1 | 5.90 | H→L+1(87%) |
4a' | 428.1 | 2.90 | H→L(100%) |
4a″ | 223.3 | 5.55 | H→L+8(73%), H-4→L(11%) |
Table 5 Transition energies(Egm) and major transition forms of all molecules*
Molecule | λ/nm | Egm/eV | Major contribution |
---|---|---|---|
1a | 179.3 | 6.91 | H→L+1(85%) |
1b | 158.1 | 7.84 | H-5→L(36%), H-2→L+3(23%), H-4→L+1(19%) |
1c | 242.3 | 5.12 | H-3→L(68%), H-1→L(19%) |
2a | 150.1 | 8.26 | H-3→L+4(33%), H-4→L+1(29%), H-2→L+7(23%) |
3a | 191.2 | 6.49 | H-1→L+1(36%), H-1→L+3(35%), H→L(19%) |
4a | 210.1 | 5.90 | H→L+1(87%) |
4a' | 428.1 | 2.90 | H→L(100%) |
4a″ | 223.3 | 5.55 | H→L+8(73%), H-4→L(11%) |
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