Mean motion resonances(MMRs)are widespread in our Solar System.Moreover,resonant dynamics has always been an essential topic in planetary research.Recently,the research about exoplanets and the potential Planet Nine w...Mean motion resonances(MMRs)are widespread in our Solar System.Moreover,resonant dynamics has always been an essential topic in planetary research.Recently,the research about exoplanets and the potential Planet Nine with large eccentricity has given rise to our interests in the secular dynamics inside MMRs in the elliptic model.In this paper,we study the fixed points of the averaged Hamiltonian and the long-term stable regions of the 1/1 resonance(or co-orbital motion)in the elliptic restricted three-body problem(ERTBP)systematically.Numerical integrations prove those test particles trapped in"apsidal co-rotation",where both the resonant angleφ_(res)and the secular angleΔω(or apsidal longitude differences)librate simultaneously,always survive the long-term simulations.Furthermore,utilizing a semianalytical method based on the adiabatic approach,three families of long-term fixed points of the averaged Hamiltonian of the planar ERTBP inside the 1/1 resonance have been found.We call them QS-points,Hpoints,and T-points here,whose values of the(φ_(res),Δω)are(0°,180°),(180°,0°),and(±60°,±60°),respectively.All the fixed points of the averaged Hamiltonian of the co-orbital motion in the ERTBP are presented in the e-e’plane(’represents the elements of the planet in this paper).We find that QS-points and T-points always exist for the arbitrary eccentricity of a planet,while H-points only exist for the cases of low e’and very high e.Furthermore,we measure the libration width in terms of eccentricity,Δe,around these stable equilibrium points in the e-Δωphase-space portraits.The"apsidal co-rotation"around all the stable equilibrium points is presented in the e-e’plane.All these results are effectively confirmed by numerical experiments.The long-term stable zones around these periodic orbits in the e-e’plane are significant for the research of the co-orbital motion in the ERTBP.Above all,these practical approaches that we proposed can also be used to study the secular dynamics of other MMRs.展开更多
The phase transformation in calcification process was investigated by X-ray diffraction (XRD) and differential scanning calorimeter (DSC), and the effect of calcification on the leaching rate of rare earth was ana...The phase transformation in calcification process was investigated by X-ray diffraction (XRD) and differential scanning calorimeter (DSC), and the effect of calcification on the leaching rate of rare earth was analyzed. The results show that bastnaesite transforms into rare earth hydrate at the cal- cification temperature range of 225-300 ℃. However, this transition is verified to be an efficient reaction for the acti- vating bastnaesite when the temperature is higher than 200 ℃. The leaching rate of rare earth increases to 89.17 % for activating bastnaesite from 36.27 % for the bastnaesite, and it is the highest with calcification temperature of 250 ℃, which is consistent with the result of DSC analysis. The transition of rare earth oxyfluoride into RE(OH)3 is acceler- ated by the addition of NaOH according to the experiments of different calcification systems.展开更多
A simple and effective photochemical method was developed for cross-linking of polymer gate dielectrics. Laborious synthetic processes for functionalizing polymer dielectrics with photo-cross-linkable groups were avoi...A simple and effective photochemical method was developed for cross-linking of polymer gate dielectrics. Laborious synthetic processes for functionalizing polymer dielectrics with photo-cross-linkable groups were avoided. The photo-cross-linker, BBP-4, was added into host polymers by simple solution blending process, which was capable of abstracting hydrogen atoms from polymers containing active C--H groups upon exposure to ultraviolet (UV) radiation. The cross-linking can be completed with a relatively long wavelength UV light (365 nm). The approach has been applied to methacrylate and styrenic polymers such as commercial poly(methylmethacrylate) (PMMA), poly(iso-butylmethacrylate) (PiBMA) and poly(4-methylstyrene) (PMS). The cross-linked networks enhanced dielectric properties and solvent resistance of the thin films. The bottom-gate organic field-effect transistors (OFETs) through all solution processes on plastic substrate were fabricated. The OFET devices showed low voltage operation and steep subthreshold swing at relatively small gate dielectric capacitance.展开更多
This research was aim to develop novel cyclodextrin/chitosan (CD/CS) nanocarriers for insoluble drug delivery through the mild ionic gelation method previously developed by our lab. A series of different β- cyclode...This research was aim to develop novel cyclodextrin/chitosan (CD/CS) nanocarriers for insoluble drug delivery through the mild ionic gelation method previously developed by our lab. A series of different β- cyclodextrin (β-CD) derivatives were incorporated into CS nanoparticles including hydroxypropyl-β- cyclodextrin (HP-β-CD), sulphobutylether-β-cyclodextrin (SB-β-CD), and 2,6-di-O-methy-βcyclodex- trin (DM-β-CD). Various process parameters for nanoparticle preparation and their effects on physicochemical properties of CD/CS nanoparticles were investigated, such as the type of CD derivatives, CD and CS concentrations, the mass ratio of CS to TPP (CS/TRP), and pH values. In the optimal condition, CDICS nanoparticles were obtained in the size range of 215-276 nm and with the zeta potential from 30.22 mV to 35.79 mY. Moreover, the stability study showed that the incorporation of CD rendered the CD/CS nanocarriers more stable than CS nanoparticles in PBS buffer at pH 6.8. For their easy preparation and adjustable parameters in nanoparticle formation as well as the diversified hydrophobic core of CD derivatives, the novel CD/CS nanoparticles developed herein might represent an interesting and versatile drug delivery platform for a variety of poorly water-soluble drugs with different physicochemical properties.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11772167)。
文摘Mean motion resonances(MMRs)are widespread in our Solar System.Moreover,resonant dynamics has always been an essential topic in planetary research.Recently,the research about exoplanets and the potential Planet Nine with large eccentricity has given rise to our interests in the secular dynamics inside MMRs in the elliptic model.In this paper,we study the fixed points of the averaged Hamiltonian and the long-term stable regions of the 1/1 resonance(or co-orbital motion)in the elliptic restricted three-body problem(ERTBP)systematically.Numerical integrations prove those test particles trapped in"apsidal co-rotation",where both the resonant angleφ_(res)and the secular angleΔω(or apsidal longitude differences)librate simultaneously,always survive the long-term simulations.Furthermore,utilizing a semianalytical method based on the adiabatic approach,three families of long-term fixed points of the averaged Hamiltonian of the planar ERTBP inside the 1/1 resonance have been found.We call them QS-points,Hpoints,and T-points here,whose values of the(φ_(res),Δω)are(0°,180°),(180°,0°),and(±60°,±60°),respectively.All the fixed points of the averaged Hamiltonian of the co-orbital motion in the ERTBP are presented in the e-e’plane(’represents the elements of the planet in this paper).We find that QS-points and T-points always exist for the arbitrary eccentricity of a planet,while H-points only exist for the cases of low e’and very high e.Furthermore,we measure the libration width in terms of eccentricity,Δe,around these stable equilibrium points in the e-Δωphase-space portraits.The"apsidal co-rotation"around all the stable equilibrium points is presented in the e-e’plane.All these results are effectively confirmed by numerical experiments.The long-term stable zones around these periodic orbits in the e-e’plane are significant for the research of the co-orbital motion in the ERTBP.Above all,these practical approaches that we proposed can also be used to study the secular dynamics of other MMRs.
基金financially supported by the National Basic Research Program of China (No. 2012CBA01205)
文摘The phase transformation in calcification process was investigated by X-ray diffraction (XRD) and differential scanning calorimeter (DSC), and the effect of calcification on the leaching rate of rare earth was analyzed. The results show that bastnaesite transforms into rare earth hydrate at the cal- cification temperature range of 225-300 ℃. However, this transition is verified to be an efficient reaction for the acti- vating bastnaesite when the temperature is higher than 200 ℃. The leaching rate of rare earth increases to 89.17 % for activating bastnaesite from 36.27 % for the bastnaesite, and it is the highest with calcification temperature of 250 ℃, which is consistent with the result of DSC analysis. The transition of rare earth oxyfluoride into RE(OH)3 is acceler- ated by the addition of NaOH according to the experiments of different calcification systems.
基金financially supported by the National Natural Science Foundation of China (Nos.21674060,21274087,61674102,and 61334008)National Key R&D Program (No.2016YFB0401100)
文摘A simple and effective photochemical method was developed for cross-linking of polymer gate dielectrics. Laborious synthetic processes for functionalizing polymer dielectrics with photo-cross-linkable groups were avoided. The photo-cross-linker, BBP-4, was added into host polymers by simple solution blending process, which was capable of abstracting hydrogen atoms from polymers containing active C--H groups upon exposure to ultraviolet (UV) radiation. The cross-linking can be completed with a relatively long wavelength UV light (365 nm). The approach has been applied to methacrylate and styrenic polymers such as commercial poly(methylmethacrylate) (PMMA), poly(iso-butylmethacrylate) (PiBMA) and poly(4-methylstyrene) (PMS). The cross-linked networks enhanced dielectric properties and solvent resistance of the thin films. The bottom-gate organic field-effect transistors (OFETs) through all solution processes on plastic substrate were fabricated. The OFET devices showed low voltage operation and steep subthreshold swing at relatively small gate dielectric capacitance.
基金financially supported by Postdoctoral Science Foundation of China (No. 2014M550222)Shanghai Postdoctoral Sustentation Fund (No. 14R21410500)+2 种基金the support from School of Pharmacy, Fudan University & the Open Project Program of Key Lab of Smart Drug Delivery (Fudan University), Ministry of Education (No. SDD2014-2)State Key Laboratory of Molecular Engineering of Polymers (Fudan University, No. K2015-15)the Fundamental Research Funds for the Central Universities (Nos. 22A201514055 and WY1213013 ECUST)
文摘This research was aim to develop novel cyclodextrin/chitosan (CD/CS) nanocarriers for insoluble drug delivery through the mild ionic gelation method previously developed by our lab. A series of different β- cyclodextrin (β-CD) derivatives were incorporated into CS nanoparticles including hydroxypropyl-β- cyclodextrin (HP-β-CD), sulphobutylether-β-cyclodextrin (SB-β-CD), and 2,6-di-O-methy-βcyclodex- trin (DM-β-CD). Various process parameters for nanoparticle preparation and their effects on physicochemical properties of CD/CS nanoparticles were investigated, such as the type of CD derivatives, CD and CS concentrations, the mass ratio of CS to TPP (CS/TRP), and pH values. In the optimal condition, CDICS nanoparticles were obtained in the size range of 215-276 nm and with the zeta potential from 30.22 mV to 35.79 mY. Moreover, the stability study showed that the incorporation of CD rendered the CD/CS nanocarriers more stable than CS nanoparticles in PBS buffer at pH 6.8. For their easy preparation and adjustable parameters in nanoparticle formation as well as the diversified hydrophobic core of CD derivatives, the novel CD/CS nanoparticles developed herein might represent an interesting and versatile drug delivery platform for a variety of poorly water-soluble drugs with different physicochemical properties.