{"title":"六三烯的最低单重态","authors":"Riccardo Guareschi, Celestino Angeli","doi":"10.1007/s00214-023-03064-y","DOIUrl":null,"url":null,"abstract":"Abstract The two lowest excited singlet states of trans -hexatriene and cis -hexatriene are studied by multireference perturbation theory approaches (NEVPT2 and CASPT2) in their quasi-degenerate version (QD-NEVPT2 and MS-CASPT2). For these states, we report spectroscopic properties such as the vertical and adiabatic excitation energies, some features of the topology of the potential energy surfaces (PES), and the emission energies. The theoretical vertical excitation energies for the $${2{\\hspace{0.05cm}}{^1\\textrm{A}_g^-}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msubsup> <mml:mtext>A</mml:mtext> <mml:mi>g</mml:mi> <mml:mo>-</mml:mo> </mml:msubsup> </mml:mrow> </mml:mrow> </mml:math> and $${1{\\hspace{0.05cm}}{^1\\textrm{B}_u^+}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msubsup> <mml:mtext>B</mml:mtext> <mml:mi>u</mml:mi> <mml:mo>+</mml:mo> </mml:msubsup> </mml:mrow> </mml:mrow> </mml:math> states of trans -hexatriene are found to be almost degenerate, with a value, $$\\simeq$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>≃</mml:mo> </mml:math> 5.5–5.6 eV, higher than that normally accepted in the literature, 5.2 eV and 5.1 eV, respectively. The $${2{\\hspace{0.05cm}}{^1\\textrm{A}_1}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msub> <mml:mtext>A</mml:mtext> <mml:mn>1</mml:mn> </mml:msub> </mml:mrow> </mml:mrow> </mml:math> and $${1{\\hspace{0.05cm}}{^1\\textrm{B}_2}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msub> <mml:mtext>B</mml:mtext> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> </mml:mrow> </mml:math> states of cis -hexatriene are also almost degenerate and are estimated to be at $$\\simeq$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>≃</mml:mo> </mml:math> 5.4–5.5 and $$\\simeq$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>≃</mml:mo> </mml:math> 5.5 eV, respectively, again higher than the accepted values. The adiabatic excitation energies to the $${2{\\hspace{0.05cm}}{^1\\textrm{A}_g^-}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msubsup> <mml:mtext>A</mml:mtext> <mml:mi>g</mml:mi> <mml:mo>-</mml:mo> </mml:msubsup> </mml:mrow> </mml:mrow> </mml:math> and $${2{\\hspace{0.05cm}}{^1\\textrm{A}_1}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msub> <mml:mtext>A</mml:mtext> <mml:mn>1</mml:mn> </mml:msub> </mml:mrow> </mml:mrow> </mml:math> states can be observed experimentally (in particular for the cis isomer), and our results are in excellent agreement with the experimental values. On the contrary, the vertical excitation energies for these states are not directly observable in the experimental spectra and the “experimental” values are obtained by educated guesses. We show that the hypotheses underlying these guesses are not entirely grounded.","PeriodicalId":23045,"journal":{"name":"Theoretical Chemistry Accounts","volume":"28 11","pages":"0"},"PeriodicalIF":1.6000,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The lowest singlet states of hexatriene revisited\",\"authors\":\"Riccardo Guareschi, Celestino Angeli\",\"doi\":\"10.1007/s00214-023-03064-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The two lowest excited singlet states of trans -hexatriene and cis -hexatriene are studied by multireference perturbation theory approaches (NEVPT2 and CASPT2) in their quasi-degenerate version (QD-NEVPT2 and MS-CASPT2). For these states, we report spectroscopic properties such as the vertical and adiabatic excitation energies, some features of the topology of the potential energy surfaces (PES), and the emission energies. The theoretical vertical excitation energies for the $${2{\\\\hspace{0.05cm}}{^1\\\\textrm{A}_g^-}}$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msubsup> <mml:mtext>A</mml:mtext> <mml:mi>g</mml:mi> <mml:mo>-</mml:mo> </mml:msubsup> </mml:mrow> </mml:mrow> </mml:math> and $${1{\\\\hspace{0.05cm}}{^1\\\\textrm{B}_u^+}}$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msubsup> <mml:mtext>B</mml:mtext> <mml:mi>u</mml:mi> <mml:mo>+</mml:mo> </mml:msubsup> </mml:mrow> </mml:mrow> </mml:math> states of trans -hexatriene are found to be almost degenerate, with a value, $$\\\\simeq$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mo>≃</mml:mo> </mml:math> 5.5–5.6 eV, higher than that normally accepted in the literature, 5.2 eV and 5.1 eV, respectively. The $${2{\\\\hspace{0.05cm}}{^1\\\\textrm{A}_1}}$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msub> <mml:mtext>A</mml:mtext> <mml:mn>1</mml:mn> </mml:msub> </mml:mrow> </mml:mrow> </mml:math> and $${1{\\\\hspace{0.05cm}}{^1\\\\textrm{B}_2}}$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msub> <mml:mtext>B</mml:mtext> <mml:mn>2</mml:mn> </mml:msub> </mml:mrow> </mml:mrow> </mml:math> states of cis -hexatriene are also almost degenerate and are estimated to be at $$\\\\simeq$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mo>≃</mml:mo> </mml:math> 5.4–5.5 and $$\\\\simeq$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mo>≃</mml:mo> </mml:math> 5.5 eV, respectively, again higher than the accepted values. The adiabatic excitation energies to the $${2{\\\\hspace{0.05cm}}{^1\\\\textrm{A}_g^-}}$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msubsup> <mml:mtext>A</mml:mtext> <mml:mi>g</mml:mi> <mml:mo>-</mml:mo> </mml:msubsup> </mml:mrow> </mml:mrow> </mml:math> and $${2{\\\\hspace{0.05cm}}{^1\\\\textrm{A}_1}}$$ <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mspace /> <mml:mrow> <mml:msup> <mml:mrow /> <mml:mn>1</mml:mn> </mml:msup> <mml:msub> <mml:mtext>A</mml:mtext> <mml:mn>1</mml:mn> </mml:msub> </mml:mrow> </mml:mrow> </mml:math> states can be observed experimentally (in particular for the cis isomer), and our results are in excellent agreement with the experimental values. On the contrary, the vertical excitation energies for these states are not directly observable in the experimental spectra and the “experimental” values are obtained by educated guesses. We show that the hypotheses underlying these guesses are not entirely grounded.\",\"PeriodicalId\":23045,\"journal\":{\"name\":\"Theoretical Chemistry Accounts\",\"volume\":\"28 11\",\"pages\":\"0\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2023-11-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theoretical Chemistry Accounts\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00214-023-03064-y\",\"RegionNum\":4,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CHEMISTRY, PHYSICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical Chemistry Accounts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00214-023-03064-y","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
摘要
摘要采用多参考微扰理论方法研究了反式-六三烯和顺式-六三烯的两个最低激发单重态(NEVPT2和CASPT2)的准简并态(QD-NEVPT2和MS-CASPT2)。对于这些状态,我们报告了光谱性质,如垂直和绝热激发能,势能面(PES)拓扑结构的一些特征,以及发射能。反式六三烯的$${2{\hspace{0.05cm}}{^1\textrm{A}_g^-}}$$ 21 A g -态和$${1{\hspace{0.05cm}}{^1\textrm{B}_u^+}}$$ 11 B u +态的理论垂直激发能几乎为简并态,其值$$\simeq$$为5.5-5.6 eV,高于文献中普遍接受的5.2 eV和5.1 eV。顺式六三烯的$${2{\hspace{0.05cm}}{^1\textrm{A}_1}}$$ 211 a1和$${1{\hspace{0.05cm}}{^1\textrm{B}_2}}$$ 211 b2态也几乎为简并态,估计分别在$$\simeq$$≃5.4-5.5 eV和$$\simeq$$≃5.5 eV处,也高于可接受值。在实验中(特别是顺式异构体)可以观察到$${2{\hspace{0.05cm}}{^1\textrm{A}_g^-}}$$ 21a g -和$${2{\hspace{0.05cm}}{^1\textrm{A}_1}}$$ 21a 1态的绝热激发能,我们的结果与实验值非常吻合。相反,这些状态的垂直激发能在实验光谱中不能直接观测到,“实验”值是通过有根据的猜测获得的。我们表明,这些猜测背后的假设并不完全有根据。
Abstract The two lowest excited singlet states of trans -hexatriene and cis -hexatriene are studied by multireference perturbation theory approaches (NEVPT2 and CASPT2) in their quasi-degenerate version (QD-NEVPT2 and MS-CASPT2). For these states, we report spectroscopic properties such as the vertical and adiabatic excitation energies, some features of the topology of the potential energy surfaces (PES), and the emission energies. The theoretical vertical excitation energies for the $${2{\hspace{0.05cm}}{^1\textrm{A}_g^-}}$$ 21Ag- and $${1{\hspace{0.05cm}}{^1\textrm{B}_u^+}}$$ 11Bu+ states of trans -hexatriene are found to be almost degenerate, with a value, $$\simeq$$ ≃ 5.5–5.6 eV, higher than that normally accepted in the literature, 5.2 eV and 5.1 eV, respectively. The $${2{\hspace{0.05cm}}{^1\textrm{A}_1}}$$ 21A1 and $${1{\hspace{0.05cm}}{^1\textrm{B}_2}}$$ 11B2 states of cis -hexatriene are also almost degenerate and are estimated to be at $$\simeq$$ ≃ 5.4–5.5 and $$\simeq$$ ≃ 5.5 eV, respectively, again higher than the accepted values. The adiabatic excitation energies to the $${2{\hspace{0.05cm}}{^1\textrm{A}_g^-}}$$ 21Ag- and $${2{\hspace{0.05cm}}{^1\textrm{A}_1}}$$ 21A1 states can be observed experimentally (in particular for the cis isomer), and our results are in excellent agreement with the experimental values. On the contrary, the vertical excitation energies for these states are not directly observable in the experimental spectra and the “experimental” values are obtained by educated guesses. We show that the hypotheses underlying these guesses are not entirely grounded.
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