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多指标正交增量过程
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作者 熊大国 《北京理工大学学报》 EI CAS CSCD 1990年第S3期9-17,共9页
引进多指标正交增量过程ξ((?)),(?)∈R_n,证明了用它能构造一个随机测度ξ(B)(B∈(?)_n).建立了关于正交增量过程的积分并给出多指标噪声的一般表达式。并证明了ξ((?))是宽右均方连续的有界规则正交增量过程,当且仅当它是均方连续多... 引进多指标正交增量过程ξ((?)),(?)∈R_n,证明了用它能构造一个随机测度ξ(B)(B∈(?)_n).建立了关于正交增量过程的积分并给出多指标噪声的一般表达式。并证明了ξ((?))是宽右均方连续的有界规则正交增量过程,当且仅当它是均方连续多指标弱平稳过程的随机谱函数。 展开更多
关键词 二阶矩过程 随机场/多指标正交增量过程 多指标弱平稳过程 附属函数 随机谱函数
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THE THEORETICAL STUDY OF ADSORPTION OF METAL IONS ON CHITOSAN 被引量:3
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作者 LU Renqing ZHANG Hongyu +1 位作者 QIU Guangmin LIU Chenguang 《Chinese Journal of Reactive Polymers》 2005年第1期76-81,共6页
The interactions between metal ions such as Zn2+, Pb2+, Mn2+, Hg2+, Cd2+, Ni2+ and chitosan have been investigated using the model cluster model method and density functional method. Full optimization and frequency an... The interactions between metal ions such as Zn2+, Pb2+, Mn2+, Hg2+, Cd2+, Ni2+ and chitosan have been investigated using the model cluster model method and density functional method. Full optimization and frequency analysis of all cluster models have been performed employing B3LYP hybrid method at 3-21G basis set level except metal ions which were invoked to use effective core potential (ECP) method. The energy changes, and the main structural parameters have been obtained during the theoretical study of the adsorption of metal ions on the chitosan. The calculations showed that the coordination modes of metal ions with chitosan models were different, the geometries of Mn2+, Zn2+, Cd2+, Hg2+, Pb2+ ions coordinated with two nitrogen atoms and two oxygen atoms were distorted tetrahedral, while the square planar structure of Ni2+ coordinated two nitrogen atoms and two oxygen atoms was observed. The heat of reaction between six metal ions and chitosan models showed the order: Mn2+ >Ni2+ >Zn2+ >Pb2+ >Hg2+ >Cd2+, this suggested that the coordination strength of Mn2+ >Ni2+ >Zn2+ >Pb2+ >Hg2+ >Cd2+. 展开更多
关键词 Density functional theory Basis set Effective core potential Chitosan Metal ions.
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