Greenman Loren, Mazziotti David A
Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA.
J Chem Phys. 2009 May 14;130(18):184101. doi: 10.1063/1.3127402.
Using the active-space two-electron reduced density matrix (2-RDM) method, which scales polynomially with the size of the active space [G. Gidofalvi and D. A. Mazziotti, J. Chem. Phys. 129, 134108 (2008)], we were able to use active spaces as large as 24 electrons in 24 orbitals in computing the ground-state energies and properties of highly multireferenced arynes. Because the conventional complete-active-space self-consistent-field (CASSCF) method scales exponentially with the size of the active space, its application to arynes was mainly limited to active spaces of 12 electrons in 12 orbitals. For these smaller active spaces the active-space 2-RDM method accurately reproduces the results of CASSCF. However, we show that the larger active spaces are necessary for describing changes in energies and properties with aryne chain length such as the emergence of polyradical character. Furthermore, the addition of further electron correlation by multireference perturbation theory is demonstrated to be inadequate for removing the limitations of the smaller active spaces.
使用活性空间双电子约化密度矩阵(2-RDM)方法,该方法随活性空间大小呈多项式缩放[G. Gidofalvi和D. A. Mazziotti,《化学物理杂志》129, 134108 (2008)],我们能够在计算高度多参考的芳炔的基态能量和性质时使用多达24个轨道中24个电子的活性空间。由于传统的完全活性空间自洽场(CASSCF)方法随活性空间大小呈指数缩放,其在芳炔上的应用主要限于12个轨道中12个电子的活性空间。对于这些较小的活性空间,活性空间2-RDM方法能准确重现CASSCF的结果。然而,我们表明,对于描述能量和性质随芳炔链长度的变化,如多自由基特征的出现,更大的活性空间是必要的。此外,通过多参考微扰理论添加进一步的电子关联被证明不足以消除较小活性空间的局限性。