Density Functional Study of Molecular Orbitals of Ferrocene and Cobaltocene Molecules

Tesfalem Belay Woldeamanuale
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Abstract

The electronic structure and geometry optimization of ferrocene and cobaltocene molecules are calculated using DFT/B3LYP with the basis set of 6-31G (d). The Eigen values, Eigen vector and population analysis of the molecules show that the first 13 molecular orbitals in ferrocene and 12 in cobaltocene have contribution from 2pz orbitals of carbon of (C5H5)- and 4s, 4p and 3d orbitals of iron and cobalt respectively. We found that the extent of involvement of metal orbitals in the two cases is different. In ferrocene the maximum involvement out of 4s and 4p orbital is in the order 4pz>4py>4s>4px and out of 3d orbitals the order of involvement is 3dyz>3dxz>3d2z>3dx2-y2>3dxy. The involvement of corresponding orbital in cobaltocene with respect to the 4s and 4p orbitals is in the order of 4s>4pz>4py>4px and in 3d orbitals the order is 3dx2-y2>3dxz>3d2z>3dx2-y2 and 4py>4px>4s>4pz molecules. The total involvement of 3d, 4s and 4porbitals of metal and 2pz orbitals of the ten carbon atoms of both ligands of (C5H5)- in ferrocene and cobaltocene respectively are 42.2528 and 40.2388 hence we can conclude that ferrocene is more stable than cobaltocene. Similar results are found from calculation of parameters like dipole moment, HOMO-LUMO gap and Mullikan charge distribution. The population analysis shows that only 2pz orbitals of carbon of (C5H5)- and 3d orbitals of metal provide electrons to MOs of ferrocene and cobaltocene.
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二茂铁和钴二茂分子轨道的密度泛函研究
利用DFT/B3LYP计算了二茂铁和钴二茂分子的电子结构和几何优化,基集为6-31G (d)。分子的特征值、特征向量和居群分析表明,二茂铁分子的前13个分子轨道和钴二茂铁分子的第12个分子轨道分别来自(C5H5)-碳的2pz轨道和铁的4s、4p和3d轨道。我们发现在这两种情况下,金属轨道的参与程度是不同的。在二烯铁中,4s轨道和4p轨道的最大参与顺序为4pz>4py>4s>4px;在3d轨道中,最大参与顺序为3dyz>3dxz>3d2z>3dx2-y2>3dxy。钴二烯中对应轨道相对于4s和4p轨道的参与顺序为4s>4pz>4py>4px,在3d轨道上为3dx2-y2>3dxz>3d2z>3dx2-y2和4py>4px>4s>4pz分子。金属的3d、4s、4轨道和(C5H5)-配体的10个碳原子的2pz轨道在二茂铁和钴二烯中的总参与度分别为42.2528和40.2388,因此我们可以得出二茂铁比钴二烯更稳定。偶极矩、HOMO-LUMO间隙和Mullikan电荷分布等参数的计算也得到了类似的结果。总体分析表明,只有碳(C5H5)-的2pz轨道和金属的3d轨道向二茂铁和二钴二烯的MOs提供电子。
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