The synthesis of discrete polyoxometalate clusters composed of more than 3 metallic elements has always been attractive but seldom successful.For the first time,we have developed a de novo synthetic route to quinary C...The synthesis of discrete polyoxometalate clusters composed of more than 3 metallic elements has always been attractive but seldom successful.For the first time,we have developed a de novo synthetic route to quinary Cu-Ni-Co-Mn-Zn Keplerate clusters with a nuclearity of 20.Seven single-crystalline quinary Keplerates in a medium-entropy state with various compositions have been obtained.展开更多
The interaction of alkoxysilanes with nanoscaled giant polyoxoclusters is a challenging route for efficiently building blocks for supramolecular smart design.3-Aminopropyltrimethoxysilane(APTMS)treatment grafts amino ...The interaction of alkoxysilanes with nanoscaled giant polyoxoclusters is a challenging route for efficiently building blocks for supramolecular smart design.3-Aminopropyltrimethoxysilane(APTMS)treatment grafts amino groups onto the surface of the Keplerate{Mo_(132)}in a controlled manner.By means of XPS and elemental analysis,we studied the influence of the component ratio,the solvent nature,acidity and mixture preparation on the stoichiometry of POM-APTMS conjugates.The reaction mechanism shows the role of{Mo_(2)}bridging units as reactive sites for APTMS binding.展开更多
Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fund...Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.21301057 and 22075073)Fundamental Research Funds for the Central Universities(531107051077).
文摘The synthesis of discrete polyoxometalate clusters composed of more than 3 metallic elements has always been attractive but seldom successful.For the first time,we have developed a de novo synthetic route to quinary Cu-Ni-Co-Mn-Zn Keplerate clusters with a nuclearity of 20.Seven single-crystalline quinary Keplerates in a medium-entropy state with various compositions have been obtained.
基金supported by the Russian Science Foundation:Project No.19-73-00177 as part of the investigation of Keplerate conjugation with alkoxysilanesProject No.21-73-00311 as part of conjugation with fluorescence dyes with POM and investigation of photophysical properties.
文摘The interaction of alkoxysilanes with nanoscaled giant polyoxoclusters is a challenging route for efficiently building blocks for supramolecular smart design.3-Aminopropyltrimethoxysilane(APTMS)treatment grafts amino groups onto the surface of the Keplerate{Mo_(132)}in a controlled manner.By means of XPS and elemental analysis,we studied the influence of the component ratio,the solvent nature,acidity and mixture preparation on the stoichiometry of POM-APTMS conjugates.The reaction mechanism shows the role of{Mo_(2)}bridging units as reactive sites for APTMS binding.
文摘Generalised reduced masses with a set of equations governing the three relative motions between two of 3-bodies in their gravitational field are established,of which the dynamic characteristics of 3-body dynamics,fundamental bases of this paper,are revealed.Based on these findings,an equivalent system is developed,which is a 2-body system with its total mass,constant angular momentum,kinetic and potential energies same as the total ones of three relative motions,so that it can be solved using the well-known theory of the 2-body system.From the solution of an equivalent system with the revealed characteristics of three relative motions,the general theoretical solutions of the 3-body system are obtained in the curve-integration forms along the orbits in the imaged radial motion space.The possible periodical orbits with generalised Kepler’s law are presented.Following the description and mathematical demonstrations of the proposed methods,the examples including Euler’s/Lagrange’s problems,and a reported numerical one are solved to validate the proposed methods.The methods derived from the 3-body system are extended to N-body problems.
