AuX (X=O, S)低电子态的理论研究

引用本文: 梁艳妮, 王繁. AuX (X=O, S)低电子态的理论研究[J]. 物理化学学报, 2014, 30(8): 1447-1455. doi: 10.3866/PKU.WHXB201405302 shu

Citation: LIANG Yan-Ni, WANG Fan. Theoretical Studies on Low-Lying States of AuX (X=O, S)[J]. Acta Physico-Chimica Sinica, 2014, 30(8): 1447-1455. doi: 10.3866/PKU.WHXB201405302 shu

AuX (X=O, S)低电子态的理论研究

梁艳妮 ^1, ,
王繁 ^2,

基金项目:
国家自然科学基金（21273155）资助项目

摘要:

通常要用多参考态方法才能合理处理需考虑旋轨耦合（SOC）效应的开壳层分子如AuO和AuS的低电子态. 事实上，通过选取合适的参考态，采用运动方程耦合簇方法（EOM-CC）也能计算这些分子的一些低电子态，而且EOM-CC方法是单参考态方法，使用起来比多参考态方法更加简单. 本文采用最近发展的含旋轨耦合的EOM-CC 计算电离能的方法（EOMIP-CC），选取对应的负离子为参考态，在CCSD 级别上计算了AuO 和AuS低电子态的性质. 在不考虑旋轨耦合时，通过比较EOMIP-CCSD和EOMIP-CCSDT的结果考察EOMIPCCSD的精度. 此外，与EOMIP-CCSDT结果相比，如果自旋污染较为显著而且T₁的模较大时，UCCSD（T）方法对能量最低的某一特定对称性的电子态的所对应的电离能误差约为0.1-0.15 eV. 在考虑了旋轨耦合效应后，我们的方法得到的键长和振动频率与实验值吻合较好. 另一方面，虽然EOMIP-SOC-CCSD高估了能量较高的²Δ_3/2态、²Σ_1/2⁺态和²Π_1/2态的能量，但是对于其它能量更低的电子态，它们的能量与已有实验值误差在0.2 eV 左右. 这显示我们所用的含SOC的EOMIP-CCSD方法对原本需要用多参考态方法才能处理的AuO和AuS低电子态能给出可靠的结果.

关键词:

English

Theoretical Studies on Low-Lying States of AuX (X=O, S)

LIANG Yan-Ni ^1, ,
WANG Fan ^2,

1.
1. College of Chemistry, Sichuan University, Chengdu 610065, P. R. China;
2. Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, P. R. China
Received Date: 11 April 2014
Available Online: 18 July 2014
Fund Project:
国家自然科学基金（21273155）资助项目

Abstract:

Multireference approaches have commonly been employed to calculate low-lying states of openshell molecules with spin-orbit coupling (SOC), such as for AuO and AuS. However, by choosing a proper reference state, the equation-of-motion coupled-cluster approach (EOM-CC) can also be used to calculate some low-lying states of these molecules. Furthermore, the EOM-CC approach is a single-reference method and, therefore, more easily employed than multireference approaches. In this work, low-lying states of AuO and AuS are investigated based on a recently developed EOM-CC approach for ionization potentials (EOMIP-CC) with SOC at the CCSD level, using the corresponding anions as reference. The contribution of triples with EOMIPCC is estimated by comparing results of EOMIP-CCSD and EOMIP-CCSDT at a scalar relativistic level. In addition, compared with the EOMIP-CCSDT results, errors by UCCSD(T) can reach 0.1-0.15 eV when spin contamination is significant and the norm of T₁ is sizeable. When SOC is present, bond lengths and harmonic frequencies obtained with EOMIP-CCSD for the investigated states are in reasonable agreement with experimental data. Furthermore, ionization energies corresponding to the high-lying ²Δ_3/2, ²Σ_1/2⁺, and ²Π_1/2 states are overestimated by EOMIP-SOC-CCSD, but results for the other low- lying states agree well with the experimental data, with an error of approximately 0.2 eV. These results indicate that the single-reference EOMIPCCSD method with SOC is able to provide a reasonable description of low-lying states of AuO and AuS.

Key words:

Spin-orbit coupling
/ Equation-of-motion coupled-cluster approach
/ Ionization energy

1. [1]
  
  (1) Pitzer, K. S. Accounts Chem. Res. 1979, 12, 272.
  (1) Pitzer, K. S. Accounts Chem. Res. 1979, 12, 272.
2. [2]
  (2) Pyykko, P.; Desclaux, J. P. Accounts Chem. Res. 1979, 12, 276. doi: 10.1021/ar50140a002(2) Pyykko, P.; Desclaux, J. P. Accounts Chem. Res. 1979, 12, 276. doi: 10.1021/ar50140a002
3. [3]
  (3) Pyykko, P. Chem. Rev. 1988, 88, 563. doi: 10.1021/cr00085a006(3) Pyykko, P. Chem. Rev. 1988, 88, 563. doi: 10.1021/cr00085a006
4. [4]
  (4) Love, J. C.; Estroff, L. A.; Kriebel, J. K.; Nuzzo, R. G.; Whitesides, G. M. Chem. Rev. 2005, 105, 1103. doi: 10.1021/cr0300789(4) Love, J. C.; Estroff, L. A.; Kriebel, J. K.; Nuzzo, R. G.; Whitesides, G. M. Chem. Rev. 2005, 105, 1103. doi: 10.1021/cr0300789
5. [5]
  (5) Griffiths, M. J.; Barrow, R. F. J. Chem. Soc., Faraday Trans. 1977, 73, 943. doi: 10.1039/f29777300943(5) Griffiths, M. J.; Barrow, R. F. J. Chem. Soc., Faraday Trans. 1977, 73, 943. doi: 10.1039/f29777300943
6. [6]
  (6) Citra, A.; Andrews, L. Theochem 1999, 489, 95. doi: 10.1016/S0166-1280(98)00516-8(6) Citra, A.; Andrews, L. Theochem 1999, 489, 95. doi: 10.1016/S0166-1280(98)00516-8
7. [7]
  (7) Sun, Q.; Jena, P.; Kim, Y. D.; Fischer, M.; Gantefor, G. J. Chem. Phys. 2004, 120, 6510. doi: 10.1063/1.1666009(7) Sun, Q.; Jena, P.; Kim, Y. D.; Fischer, M.; Gantefor, G. J. Chem. Phys. 2004, 120, 6510. doi: 10.1063/1.1666009
8. [8]
  (8) Ichino, T.; Gianola, A. J.; Andrews, D. H.; Lineberger,W. C. J. Phys. Chem. A 2004, 108, 11307. doi: 10.1021/jp045791w(8) Ichino, T.; Gianola, A. J.; Andrews, D. H.; Lineberger,W. C. J. Phys. Chem. A 2004, 108, 11307. doi: 10.1021/jp045791w
9. [9]
  (9) O'Brien, L. C.; Hardimon, S. C.; O'Brien, J. J. J. Phys. Chem. A 2004, 108, 11302. doi: 10.1021/jp045812m(9) O'Brien, L. C.; Hardimon, S. C.; O'Brien, J. J. J. Phys. Chem. A 2004, 108, 11302. doi: 10.1021/jp045812m
10. [10]
  (10) O′Brien, L. C.; Oberlink, A. E.; Roos, B. O. J. Phys. Chem. A 2006, 110, 11954. doi: 10.1021/jp063394a(10) O′Brien, L. C.; Oberlink, A. E.; Roos, B. O. J. Phys. Chem. A 2006, 110, 11954. doi: 10.1021/jp063394a
11. [11]
  (11) Okabayashi, T.; Koto, F.; Tsukamoto, K.; Yamazaki, E.; Tanimoto, M. Chem. Phys. Lett. 2005, 403, 223. doi: 10.1016/j.cplett.2005.01.003(11) Okabayashi, T.; Koto, F.; Tsukamoto, K.; Yamazaki, E.; Tanimoto, M. Chem. Phys. Lett. 2005, 403, 223. doi: 10.1016/j.cplett.2005.01.003
12. [12]
  (12) Zhai, H. J.; Bürgel, C.; Bonacic-Koutecky, V.;Wang, L. S. J. Am. Chem. Soc. 2008, 130, 9156. doi: 10.1021/ja802408b(12) Zhai, H. J.; Bürgel, C.; Bonacic-Koutecky, V.;Wang, L. S. J. Am. Chem. Soc. 2008, 130, 9156. doi: 10.1021/ja802408b
13. [13]
  (13) Legge, F. S.; Nyberg, G. L.; Peel, J. B. J. Phys. Chem. A 2001, 105, 790.(13) Legge, F. S.; Nyberg, G. L.; Peel, J. B. J. Phys. Chem. A 2001, 105, 790.
14. [14]
  (14) Wu, Z. J. J. Phys. Chem. A 2005, 109, 5951. doi: 10.1021/jp0500283(14) Wu, Z. J. J. Phys. Chem. A 2005, 109, 5951. doi: 10.1021/jp0500283
15. [15]
  (15) Yao, C.; Guan,W.; Song, P.; Su, Z. M.; Feng, J. D.; Yan, L. K.; Wu, Z. J. Theor. Chem. Acc. 2007, 117, 115.(15) Yao, C.; Guan,W.; Song, P.; Su, Z. M.; Feng, J. D.; Yan, L. K.; Wu, Z. J. Theor. Chem. Acc. 2007, 117, 115.
16. [16]
  (16) Becke, A. D. Phys. Rev. A 1988, 38, 3098. doi: 10.1103/PhysRevA.38.3098(16) Becke, A. D. Phys. Rev. A 1988, 38, 3098. doi: 10.1103/PhysRevA.38.3098
17. [17]
  (17) Perdew, J. P. Phys. Rev. B 1986, 33, 8822. doi: 10.1103/PhysRevB.33.8822(17) Perdew, J. P. Phys. Rev. B 1986, 33, 8822. doi: 10.1103/PhysRevB.33.8822
18. [18]
  (18) Lee, C.; Yang,W.; Parr, R. G. Phys. Rev. B 1988, 37, 785. doi: 10.1103/PhysRevB.37.785(18) Lee, C.; Yang,W.; Parr, R. G. Phys. Rev. B 1988, 37, 785. doi: 10.1103/PhysRevB.37.785
19. [19]
  (19) Roos, B. O.; Malmqvist, P. Å. Phys. Chem. Chem. Phys. 2004, 6, 2919. doi: 10.1039/b401472n(19) Roos, B. O.; Malmqvist, P. Å. Phys. Chem. Chem. Phys. 2004, 6, 2919. doi: 10.1039/b401472n
20. [20]
  (20) Li, Z.; Suo, B.; Zhang, Y.; Xiao, Y.; Liu,W. Mol. Phys. 2013, 111, 3741. doi: 10.1080/00268976.2013.785611(20) Li, Z.; Suo, B.; Zhang, Y.; Xiao, Y.; Liu,W. Mol. Phys. 2013, 111, 3741. doi: 10.1080/00268976.2013.785611
21. [21]
  (21) Krylov, A. I. Annu. Rev. Phys. Chem. 2008, 59, 433. doi: 10.1146/annurev.physchem.59.032607.093602(21) Krylov, A. I. Annu. Rev. Phys. Chem. 2008, 59, 433. doi: 10.1146/annurev.physchem.59.032607.093602
22. [22]
  (22) Stanton, J. F.; Gauss, J. J. Chem. Phys. 1994, 101, 8938. doi: 10.1063/1.468022(22) Stanton, J. F.; Gauss, J. J. Chem. Phys. 1994, 101, 8938. doi: 10.1063/1.468022
23. [23]
  (23) Nooijen, M.; Bartlett, R. J. J. Chem. Phys. 1995, 102, 3629. doi: 10.1063/1.468592(23) Nooijen, M.; Bartlett, R. J. J. Chem. Phys. 1995, 102, 3629. doi: 10.1063/1.468592
24. [24]
  (24) Tu, Z. Y.;Wang, F.; Li, X. Y. J. Chem. Phys. 2012, 136, 174102. doi: 10.1063/1.4704894(24) Tu, Z. Y.;Wang, F.; Li, X. Y. J. Chem. Phys. 2012, 136, 174102. doi: 10.1063/1.4704894
25. [25]
  (25) Wang, F.; Gauss, J.; van Wüllen, C. J. Chem. Phys. 2008, 129, 064113. doi: 10.1063/1.2968136(25) Wang, F.; Gauss, J.; van Wüllen, C. J. Chem. Phys. 2008, 129, 064113. doi: 10.1063/1.2968136
26. [26]
  (26) Kim, I.; Park, Y. C.; Kim, H.; Lee, Y. S. Chem. Phys. 2012, 395, 115. doi: 10.1016/j.chemphys.2011.05.002(26) Kim, I.; Park, Y. C.; Kim, H.; Lee, Y. S. Chem. Phys. 2012, 395, 115. doi: 10.1016/j.chemphys.2011.05.002
27. [27]
  (27) Cao, Z. L.;Wang, Z. F.; Yang, M. L.;Wang, F. Acta Phys. -Chim. Sin. 2014, 30 (3), 431. [曹战利, 王治钒, 杨明理, 王繁. 物理化学学报, 2014, 30 (3), 431.]. doi: 10.3866/PKU.WHXB201401023(27) Cao, Z. L.;Wang, Z. F.; Yang, M. L.;Wang, F. Acta Phys. -Chim. Sin. 2014, 30 (3), 431. [曹战利, 王治钒, 杨明理, 王繁. 物理化学学报, 2014, 30 (3), 431.]. doi: 10.3866/PKU.WHXB201401023
28. [28]
  (28) Liang, Y. N.;Wang, F.; Li, X. Y. Phys. Chem. Chem. Phys. 2013, 15, 17929. doi: 10.1039/c3cp52192c(28) Liang, Y. N.;Wang, F.; Li, X. Y. Phys. Chem. Chem. Phys. 2013, 15, 17929. doi: 10.1039/c3cp52192c
29. [29]
  (29) Stanton, J. F.; Gauss, J. J. Chem. Phys. 1999, 111, 8785. doi: 10.1063/1.479673(29) Stanton, J. F.; Gauss, J. J. Chem. Phys. 1999, 111, 8785. doi: 10.1063/1.479673
30. [30]
  (30) Manohar, P. U.; Stanton, J. F.; Krylov, A. I. J. Chem. Phys. 2009, 131, 114112. doi: 10.1063/1.3231133(30) Manohar, P. U.; Stanton, J. F.; Krylov, A. I. J. Chem. Phys. 2009, 131, 114112. doi: 10.1063/1.3231133
31. [31]
  (31) Purvis, G. D., III; Bartlett, R. J. J. Chem. Phys. 1982, 76, 1910.(31) Purvis, G. D., III; Bartlett, R. J. J. Chem. Phys. 1982, 76, 1910.
32. [32]
  (32) Wang, F.; Gauss, J. J. Chem. Phys. 2008, 129, 174110. doi: 10.1063/1.3000010(32) Wang, F.; Gauss, J. J. Chem. Phys. 2008, 129, 174110. doi: 10.1063/1.3000010
33. [33]
  (33) Wang, F.; Gauss, J. J. Chem. Phys. 2009, 131, 164113. doi: 10.1063/1.3245954(33) Wang, F.; Gauss, J. J. Chem. Phys. 2009, 131, 164113. doi: 10.1063/1.3245954
34. [34]
  (34) Stanton, J. F.; Bartlett, R. J. J. Chem. Phys. 1993, 98, 7029. doi: 10.1063/1.464746(34) Stanton, J. F.; Bartlett, R. J. J. Chem. Phys. 1993, 98, 7029. doi: 10.1063/1.464746
35. [35]
  (35) Dolg, M.; Cao, X. Chem. Rev. 2011, 112, 403.(35) Dolg, M.; Cao, X. Chem. Rev. 2011, 112, 403.
36. [36]
  (36) Schwerdtfeger, P. ChemPhysChem 2011, 12, 3143. doi: 10.1002/cphc.201100387(36) Schwerdtfeger, P. ChemPhysChem 2011, 12, 3143. doi: 10.1002/cphc.201100387
37. [37]
  (37) Figgen, D.; Rauhut, G.; Dolg, M.; Stoll, H. Chem. Phys. Lett. 2005, 311, 227.(37) Figgen, D.; Rauhut, G.; Dolg, M.; Stoll, H. Chem. Phys. Lett. 2005, 311, 227.
38. [38]
  (38) Weigend, F.; Baldes, A. J. Chem. Phys. 2010, 133, 174102. doi: 10.1063/1.3495681(38) Weigend, F.; Baldes, A. J. Chem. Phys. 2010, 133, 174102. doi: 10.1063/1.3495681
39. [39]
  (39) Rappoport, D.; Furche, F. J. Chem. Phys. 2010, 133, 134105. doi: 10.1063/1.3484283(39) Rappoport, D.; Furche, F. J. Chem. Phys. 2010, 133, 134105. doi: 10.1063/1.3484283
40. [40]
  (40) Stanton, J. F.; Gauss, J.; Harding, M. E.; Szalay, P. G.; Auer, A. A.; Bartlett, R. J.; Benedikt, U.; Berger, C.; Bernholdt, D. E.; Bomble, Y. J.; Cheng, L.; Christiansen, O.; Heckert, M.; Heun, O.; Huber, C.; Jagau, T. C.; Jonsson, D.; Jusélius, J.; Klein, K.; Lauderdale,W. J.; Matthews, D. A.; Metzroth, T.; Mück, L. A.; O’Neill, D. P.; Price, D. R.; Prochnow, E.; Puzzarini, C.; Ruud, K.; Schiffmann, F.; Schwalbach,W.; Stopkowicz, S.; Tajti, A.; Vázquez, J.;Wang, F.;Watts, J. D. and the integral packages MOLECULE (Almlöf, J.; Taylor, P. R.), PROPS (Taylor, P. R.), ABACUS (Helgaker, T.; Jensen, H. J. A.; Jørgensen, P.; Olsen, J.), and ECP routines by Mitin, A. V. and van Wüllen, C., CFOUR, Version 1.2; see http://www.cfour.de(40) Stanton, J. F.; Gauss, J.; Harding, M. E.; Szalay, P. G.; Auer, A. A.; Bartlett, R. J.; Benedikt, U.; Berger, C.; Bernholdt, D. E.; Bomble, Y. J.; Cheng, L.; Christiansen, O.; Heckert, M.; Heun, O.; Huber, C.; Jagau, T. C.; Jonsson, D.; Jusélius, J.; Klein, K.; Lauderdale,W. J.; Matthews, D. A.; Metzroth, T.; Mück, L. A.; O’Neill, D. P.; Price, D. R.; Prochnow, E.; Puzzarini, C.; Ruud, K.; Schiffmann, F.; Schwalbach,W.; Stopkowicz, S.; Tajti, A.; Vázquez, J.;Wang, F.;Watts, J. D. and the integral packages MOLECULE (Almlöf, J.; Taylor, P. R.), PROPS (Taylor, P. R.), ABACUS (Helgaker, T.; Jensen, H. J. A.; Jørgensen, P.; Olsen, J.), and ECP routines by Mitin, A. V. and van Wüllen, C., CFOUR, Version 1.2; see http://www.cfour.de
41. [41]
  (41) Liu,W. J.; van Wüllen, C. J. Chem. Phys. 1999, 110, 3730. doi: 10.1063/1.478237(41) Liu,W. J.; van Wüllen, C. J. Chem. Phys. 1999, 110, 3730. doi: 10.1063/1.478237
42. [42]
  (42) Seminario, J. M.; Zacarias, A. G.; Tour, J. M. J. Am. Chem. Soc. 1999, 121, 411. doi: 10.1021/ja982234c
  (42) Seminario, J. M.; Zacarias, A. G.; Tour, J. M. J. Am. Chem. Soc. 1999, 121, 411. doi: 10.1021/ja982234c

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沈阳化工大学材料科学与工程学院沈阳 110142

AuX (X=O, S)低电子态的理论研究

English

Theoretical Studies on Low-Lying States of AuX (X=O, S)

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通讯作者: 陈斌, bchen63@163.com

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AuX (X=O, S)低电子态的理论研究

English

Theoretical Studies on Low-Lying States of AuX (X=O, S)

CCS Chemistry：嵌段共聚物自组装成 “三明治”二维有机材料，实现纳米级压力传感功能

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