This paper uses the density functional theory under generalised gradient approximation to analyse the stability, frontier orbitals, bond character, and static linear polarizability of H20@C80F60, which has not been is...This paper uses the density functional theory under generalised gradient approximation to analyse the stability, frontier orbitals, bond character, and static linear polarizability of H20@C80F60, which has not been isolated, as well as those of the synthesised H20@C80H60. The H20@C80F60 should be considerably stable by analysing its energy and aromaticity. The inside H and outside X will play different role in the chemical reaction involving H20@C80X60 (X = H and F). The covalence of C H bond is in the order that the inside C H bond of H20@C80F60〉 the inside C H bond of H20@C80H60〉 the outside C-H bond of H20@C80H60, whereas the C-F bond of H20@C80F60 have both the covalent and ionic characters. The static linear polarizabilities of Cso and H20@C80X60 (X =H and F) are all isotropic.展开更多
We give a complete classification of tilting bundles over a weighted projective line of type (2, 3, 3). This yields another realization of the tame concealed algebras of type E6.
We determine all of lines in the moduli space M of stable bundles for arbitrary rank and degree. A further application of minimal rational curves is also given in last section.
基金Project supported by the Research Starting Foundation of Hohai University (Grant No. 2084/40801130)the Natural Science Foundation of Hohai University (Grant Nos. 2008431211 and 2008430311)+2 种基金the Excellent Innovation Personal Support Plan of Hohai Universitythe Basic Scientific Research Foundation of National Centralthe Special Foundation of the Natural Natural Science (Grant No. 10947132)
文摘This paper uses the density functional theory under generalised gradient approximation to analyse the stability, frontier orbitals, bond character, and static linear polarizability of H20@C80F60, which has not been isolated, as well as those of the synthesised H20@C80H60. The H20@C80F60 should be considerably stable by analysing its energy and aromaticity. The inside H and outside X will play different role in the chemical reaction involving H20@C80X60 (X = H and F). The covalence of C H bond is in the order that the inside C H bond of H20@C80F60〉 the inside C H bond of H20@C80H60〉 the outside C-H bond of H20@C80H60, whereas the C-F bond of H20@C80F60 have both the covalent and ionic characters. The static linear polarizabilities of Cso and H20@C80X60 (X =H and F) are all isotropic.
文摘We give a complete classification of tilting bundles over a weighted projective line of type (2, 3, 3). This yields another realization of the tame concealed algebras of type E6.
基金supported by the Competitive Earmarked Research Grant (Grant No. HKU7025/03P) of the Research Grant Council, Hong Kong
文摘We determine all of lines in the moduli space M of stable bundles for arbitrary rank and degree. A further application of minimal rational curves is also given in last section.