Kamiya Muneaki, Hirata So
Quantum Theory Project, Department of Chemistry, University of Florida, Gainesville, Florida 32611-8435, USA.
J Chem Phys. 2007 Apr 7;126(13):134112. doi: 10.1063/1.2715575.
High-order equation-of-motion coupled-cluster methods for electron attachment (EA-EOM-CC) have been implemented with the aid of the symbolic algebra program TCE into parallel computer programs. Two types of size-extensive truncation have been applied to the electron-attachment and cluster excitation operators: (1) the electron-attachment operator truncated after the 2p-1h, 3p-2h, or 4p-3h level in combination with the cluster excitation operator after doubles, triples, or quadruples, respectively, defining EA-EOM-CCSD, EA-EOM-CCSDT, or EA-EOM-CCSDTQ; (2) the combination of up to the 3p-2h electron-attachment operator and up to the double cluster excitation operator [EA-EOM-CCSD(3p-2h)] or up to 4p-3h and triples [EA-EOM-CCSDT(4p-3h)]. These methods, capable of handling electron attachment to open-shell molecules, have been applied to the electron affinities of NH and C2, the excitation energies of CH, and the spectroscopic constants of all these molecules with the errors due to basis sets of finite sizes removed by extrapolation. The differences in the electron affinities or excitation energies between EA-EOM-CCSD and experiment are frequently in excess of 2 eV for these molecules, which have severe multideterminant wave functions. Including higher-order operators, the EA-EOM-CC methods predict these quantities accurate to within 0.01 eV of experimental values. In particular, the 3p-2h electron-attachment and triple cluster excitation operators are significant for achieving this accuracy.
用于电子附着的高阶运动方程耦合簇方法(EA-EOM-CC)已借助符号代数程序TCE实现为并行计算机程序。两种类型的尺寸可扩展性截断已应用于电子附着和簇激发算符:(1)电子附着算符在2p-1h、3p-2h或4p-3h能级后截断,分别与双激发、三激发或四激发后的簇激发算符相结合,定义为EA-EOM-CCSD、EA-EOM-CCSDT或EA-EOM-CCSDTQ;(2)高达3p-2h的电子附着算符与高达双簇激发算符[EA-EOM-CCSD(3p-2h)]或高达4p-3h和三激发算符[EA-EOM-CCSDT(4p-3h)]的组合。这些能够处理开壳层分子电子附着的方法已应用于NH和C2的电子亲和能、CH的激发能以及所有这些分子的光谱常数,通过外推消除了有限尺寸基组引起的误差。对于这些具有严重多行列式波函数的分子,EA-EOM-CCSD与实验之间的电子亲和能或激发能差异经常超过2 eV。包括高阶算符后,EA-EOM-CC方法预测这些量的精度在实验值的0.01 eV以内。特别是,3p-2h电子附着和三簇激发算符对于实现这一精度具有重要意义。