IV in complex I is different from that in complex II. Crystallographic characterization revealed that each of the complexes exhibits a three-dimensional framework constructed through weak interactions, which are H-bonding, π -π stacking and C-H· · · π interactions, but they differ greatly when forming the three-dimensional network structure in both complexes. The results show that the dramatic change of conditions has great effect on the molecular structure of 5-nitrosalicylate titanocene, thereby significantly influencing the weak interactions and the specific framework structure.

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This paper devotes to establish complex dual Brunn-Minkowski theory. At first, we introduce the concepts of complex radial combination and complex radial-Blaschke combination, and obtain the relations between those two combinations and dual mixed volumes. Then, we extend the properties of real intersection body to the complex case. Finally, we prove some complex geometric inequalities about complex intersection bodies and complex mixed intersection bodies, such as dual Brunn-Minkowski type, dual Aleksandrov-Fenchel type and dual Minkowski type inequality. Moreover, as applications, we get some corollaries including an isoperimetric type inequality and a uniqueness theorem.

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