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Theoretical study on stability and nonlinear optical properties of tetrahydropyrrole diradical and its isoelectronic systems in different electronic states

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Abstract

The polarizabilities and hyperpolarizabilities of the tetrahydropyrrole diradical in different electronic states have been investigated using ab initio and density functional theory (DFT) methods combined with the finite field (FF) approach. The polarizability average value α s is a maximum for the singlet state, while that for the closed-shell is a minimum. The trend in second hyperpolarizability average value γ is in good agreement with that for α s. The γ values of the singlet and triplet states are, respectively, about 3 and 2 times larger than that of the closed-shell. The order of the first hyperpolarizability total effective value β tot is β tot (closed-shell) > β tot (singlet) > β tot (triplet). The α s, β tot, and γ values of different electronic states obtained using the B3LYP and MP4SDQ methods are close to those obtained using the reliable CCSD method. The nonlinear optical (NLO) properties of two systems isoelectronic with the tetrahydropyrrole diradical — cyclopentane and tetrahydrofuran diradicals — show that the polarizabilities and hyperpolarizabilities of these systems are all smaller than those of the tetrahydropyrrole diradical in the three electronic states.

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References

  1. Nakano M, Yamaguchi K. A proposal of new organic third-order nonlinear optical compounds. Centrosymmetric systems with large negative third-order hyperpolarizabilities. Chem Phys Lett, 1993, 206: 285–292

    Article  CAS  Google Scholar 

  2. Bretung EM, Shu CF, McMahon RJ. Thiazole and thiophene analogues of donor-acceptor stilbenes: Molecular hyperpolarizabilities and structure-property relationships. J Am Chem Soc, 2000, 122: 1154–1160

    Article  Google Scholar 

  3. Frederiksen PK, Jørgensen M, Ogibly PR. Two-photon photosensitized production of singlet oxygen. J Am Chem Soc, 2001, 123: 1215–1221

    Article  CAS  Google Scholar 

  4. Nakano M, Shigemoto I, Yamada S, Yamaguchi K. Size-consistent approach and density analysis of hyperpolarizability: Second hyperpolarizabilities of polymeric systems with and without defects. J Chem Phys, 1995, 103: 4175–4191

    Article  CAS  Google Scholar 

  5. Nakano M, Kiribayashi S, Yamada S, Shigemoto I, Yamaguchi K. Theoretical study of the second hyperpolarizabilities of three charged states of pentalene. A consideration of the structure-property correlation for the sensitive second hyperpolarizability. Chem Phys Lett, 1996, 262: 66–73

    Article  CAS  Google Scholar 

  6. Kamada K, Ohta K, Nakamura J, Yamada S, Nakano M, Yamaguchi K. Third-order nonlinear optical properties of a stable radical species with nitronyl nitroxide group. Mol Cryst Liq Cryst, 1998, 314: 419–424

    Google Scholar 

  7. Kanls DR, Ratner MA, Marks TJ. Design and construction of molecular assemblies with large second-order optical nonlinearities. Quantum chemical aspects. Chem Rev, 1994, 94: 195–242

    Article  Google Scholar 

  8. Bredas JL, Adant C, Tackx P, Persoons A, Persoons BM. Third-order nonlinear optical response in organic materials: Theoretical and experimental aspects. Chem Rev, 1994, 94: 243–278

    Article  CAS  Google Scholar 

  9. Nakano M, Nagao H, Yamaguchi K. Many-electron hyperpolarizability density analysis: Application to the dissociation process of one-dimensional H2. Phys Rev A, 1997, 55: 1503–1513

    Article  CAS  Google Scholar 

  10. Nakano M, Yamada S, Yamaguchi K. Theoretical studies on second hyperpolarizabilities for cation radical states of tetrathiafulvalene and tetrathiapentalene. Chem Phys Lett, 1999, 311: 221–230

    Article  CAS  Google Scholar 

  11. Nakano M, Nitta T, Yamaguchi K, Champagne B, Botek E. Spin multiplicity effect on the second hyperpolarizability of an open-shell neutral π-conjugated system. J Phys Chem A, 2004, 108: 4105–4111

    Article  CAS  Google Scholar 

  12. Champagne B, Botek E, Nakano M, Nitta T, Yamaguchi K. Basis set and electron correlation effects on the polarizability and second hyperpolarizability of model open-shell π-conjugated systems. J Chem Phys, 2005, 122: 114315–114326

    Article  Google Scholar 

  13. Nakano M, Kishi R, Nitta T, Kubo T, Nakasuji K, Kamada K, Ohta K, Champagne B, Botek E, Yamaguchi K. Second hyperpolarizability γ of singlet diradical system: Dependence of γ on the diradical character. J Phys Chem A, 2005, 109: 885–891

    Article  CAS  Google Scholar 

  14. Nakano M, Kishi R, Nakagawa N, Ohta S, Takahashi H, Furukawa S, Kamada K, Ohta K, Champagne B, Botek E, Yamada S, Yamaguchi K. Second hyperpolarizability (γ) of bisimidazole and bistriazole benzenes: Diradical character, charged state, and spin state dependences. J Phys Chem A, 2006, 110: 4238–4243

    Article  CAS  Google Scholar 

  15. Nakano M, Kishi R, Nakagawa N, Ohta S, Takebe A, Takahashi H, Furukawa S, Kubo T, Morita Y, Nakasuji K, Yamaguchi K, Kamada K, Ohta K, Champagne B, Botek E. Origin of the enhancement of the second hyperpolarizability of singlet diradical systems with intermediate diradical character. J Chem Phys, 2006, 125: 74113–74121

    Article  Google Scholar 

  16. Nakano M, Kubo T, Kamada K, Ohta K, Kishi R, Ohta S, Nakagawa N, Takahashi H, Furukawa S, Morita Y, Nakasuji K, Yamaguchi K. Second hyperpolarizabilities of polycyclic aromatic hydrocarbons involving phenalenyl radical units. Chem Phys Lett, 2006, 418: 142–147

    Article  CAS  Google Scholar 

  17. Ohta S, Nakano M, Kubo T, Kamada K, Ohta K, Kishi R, Nakagawa N, Champagne B, Botek E, Umezaki S, Takebe A, Takahashi H, Furukawa S, Morita Y, Nakasuji K, Yamaguchi K. Second hyperpolarizability of phenalenyl radical system involving acetylene π-conjugated bridge. Chem Phys Lett, 2006, 420: 432–437

    Article  CAS  Google Scholar 

  18. Nakano M, Nakagawa N, Ohta S, Kishi R, Kubo T, Kamada K, Ohta K, Champagne B, Botek E, Takahashi H, Furukawa S, Morita Y, Nakasuji K, Yamaguchi K. Second hyperpolarizabilities of polycyclic diphenalenyl radicals: Effects of para/ortho-quinoid structures and central ring modification. Chem Phys Lett, 2006, 429: 174–179

    Article  CAS  Google Scholar 

  19. Nakano M, Nakagawa N, Kishi R, Ohta S, Nate M, Takahashi H, Kubo T, Kamada K, Ohta K, Champagne B, Botek E, Morita Y, Nakasuji K, Yamaguchi K. Second hyperpolarizability of singlet polycyclic diphenalenyl radicals: Effects of the nature of the central heterocyclic ring and substitution to diphenalenyl rings. J Phys Chem A, 2007, 111: 9102–9110

    Article  CAS  Google Scholar 

  20. Nakano M, Takebe A, Kishi R, Fukui H, Minami T, Kubota K, Takahashi H, Kubo T, Kamada K, Ohta K, Champagne B, Botek E. Intermolecular interaction effects on the second hyperpolarizability of open-shell singlet diphenalenyl radical dimer. Chem Phys Lett, 2008, 454: 97–104

    Article  CAS  Google Scholar 

  21. Nagai H, Nakano M, Yoneda K, Fukui H, Minami T, Bonness S, Kishi R, Takahashi H, Kubo T, Kamada K, Ohta K, Champagne B, Botek E. Theoretical study on third-order nonlinear optical properties in hexagonal grapheme nanoflakes: Edge shape effect. Chem Phys Lett, 2009, 477: 355–359

    Article  CAS  Google Scholar 

  22. Qiu YQ, Fan HL, Sun SL, Liu CG, Su ZM. Theoretical study on the relationship between spin multiplicity effects and nonlinear optical properties of the pyrrole radical (C4H4N·). J Phys Chem A, 2008, 112: 83–88

    Article  CAS  Google Scholar 

  23. Jha PC, Rinkevicius Z, Ågren H. Spin multiplicity dependence of nonlinear optical properties. Chem Phys Chem, 2009, 10: 817–823

    CAS  Google Scholar 

  24. Xu JD, Hrovat DA, Borden WT. Ab initio calculations of the potential surfaces for the lowest singlet and triplet states of 2,2-difluorocyclopentane-1,3-diyl. The singlet diradical lies below the triplet. J Am Chem Soc, 1994, 116: 5425–5427

    Article  CAS  Google Scholar 

  25. Abe M, Ishihara C, Tagegami A. Theoretical calculations of the effects of 2-heavier group 14 element and substituents on the singlet-triplet energy gap in cyclopentane-1,3-diyls and computational prediction of the reactivity of singlet 2-silacyclopentane-1,3-diyls. J Org Chem, 2004, 69: 7250–7255

    Article  CAS  Google Scholar 

  26. Zilberg S, Tsivion E, Haas Y. Properties of stable organic bond-stretched non-Lewis molecules. J Phys Chem A, 2008, 112: 12799–12805

    Article  CAS  Google Scholar 

  27. Kurtz HA, Stewart JJP, Dieter KM. Calculation of the nonlinear optical properties of molecules. J Comput Chem, 1990, 11: 82–87

    Article  CAS  Google Scholar 

  28. Frisch MJ, Trucks GW, Schlegel HB, Scuseria GE, Robb MA, Cheeseman JR, Montgomery JA Jr, Vreven T, Kudin KN, Burant JC, Millam JM, Iyengar SS, Tomasi J, Barone V, Mennucci B, Cossi M, Scalmani G, Rega N, Petersson GA, Nakatsuji H, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Klene M, Li X, Knox JE, Hratchian HP, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Ayala PY, Morokuma K, Voth GA, Salvador P, Dannenberg JJ, Zakrzewski VG, Dapprich S, Daniels AD, Strain MC, Farkas O, Malick DK, Rabuck AD, Raghavachari K, Foresman JB, Ortiz JV, Cur Q, Baboul AG, Clifford S, Cioslowski J, Stefanov BB, Liu G, Liashenko A, Piskorz P, Komaromi I, Martin RL, Fox DJ, Keith T, Al-Laham MA, Peng CY, Nanayakkara A, Challacombe M, Gill PMW, Johnson B, Chen W, Wong MW, Gonzalez C, Pople JA, Gaussian 03, Revision C.02, Gaussian, Inc., Wallingford, CT, 2004

    Google Scholar 

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Correspondence to YongQing Qiu or ZhongMin Su.

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Sun, X., Qiu, Y., Sun, S. et al. Theoretical study on stability and nonlinear optical properties of tetrahydropyrrole diradical and its isoelectronic systems in different electronic states. Sci. China Chem. 54, 1086–1093 (2011). https://doi.org/10.1007/s11426-011-4293-z

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