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arXiv 1402.7281physics.chem-phphysics.comp-ph
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电子激发态的态平均Monte Carlo组态相互作用

State-averaged Monte Carlo configuration interaction applied to electronically excited states

J. P. Coe, M. J. Paterson

摘要:

为了稳定有效地计算激发态,我们在蒙特卡罗组态相互作用方法(SA-MCCI)中引入了态平均。我们发现,激发势曲线H $_{3}$,包括与基态的交叉,可以准确地复制使用一小部分的FCI空间。最近引入的势能曲线的误差测量[J. P. Coe和M. J. Paterson,J. Chem. Phys.,137,204108(2012)]在考虑多个状态的潜在曲线时也被示出为公平的方法。我们表明,使用SA-MCCI的LiF的电位曲线与FCI结果吻合良好,避免交叉正确发生。Yarkony发现的CH $_{2}$的锥形交叉缝[J. Chem. Phys.,104,2932(1996)]被用作SA-MCCI的测试,并且我们将来自SA-MCCI的电势曲线与该系统的前三个三重态的FCI结果进行比较。然后,我们证明了使用SA-MCCI对一氧化碳的$2$ $^{1}A_{1}$状态的偶极子的改进。然后,我们研究了小有机分子的垂直激发,直到丁二烯的尺寸,其中SA-MCCI能量和振子强度与CASPT 2值进行了比较[M.施赖伯,M。R. Silva-Junior,S. P. A. Sauer和W. Thiel,J. Chem. Phys.,128,134110(2008)]。最后,我们看到,如果SA-MCCI的结果,这些激发能可以改善使用MCCIPT 2与近似的自然轨道时,PT 2空间是不是onerously大。

英文摘要:

We introduce state-averaging into the method of Monte Carlo configuration interaction (SA-MCCI) to allow the stable and efficient calculation of excited states. We show that excited potential curves for H$_{3}$, including a crossing with the ground state, can be accurately reproduced using a small fraction of the FCI space. A recently introduced error measure for potential curves [J. P. Coe and M. J. Paterson, J. Chem. Phys., 137, 204108 (2012)] is shown to also be a fair approach when considering potential curves for multiple states. We demonstrate that potential curves for LiF using SA-MCCI agree well with the FCI results and the avoided crossing occurs correctly. The seam of conical intersections for CH$_{2}$ found by Yarkony [J. Chem. Phys., 104, 2932 (1996)] is used as a test for SA-MCCI and we compare potential curves from SA-MCCI with FCI results for this system for the first three triplet states. We then demonstrate the improvement from using SA-MCCI on the dipole of the $2$ $^{1}A_{1}$ state of carbon monoxide. We then look at vertical excitations for small organic molecules up to the size of butadiene where the SA-MCCI energies and oscillator strengths are compared with CASPT2 values [M. Schreiber, M. R. Silva-Junior, S. P. A. Sauer, and W. Thiel, J. Chem. Phys., 128, 134110 (2008)]. We finally see if the SA-MCCI results for these excitation energies can be improved by using MCCIPT2 with approximate natural orbitals when the PT2 space is not onerously large.

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