The chain dynamics of a pair of diblock poly(styrene-b-butadiene) (PS210-b-PB960) and triblock poly(styrene-b-butadiene-b-styrene) (PS200-b-PB1815-b-PS200) copolymers in both dilute and semidilute toluene solutions ha...The chain dynamics of a pair of diblock poly(styrene-b-butadiene) (PS210-b-PB960) and triblock poly(styrene-b-butadiene-b-styrene) (PS200-b-PB1815-b-PS200) copolymers in both dilute and semidilute toluene solutions has been comparatively studied by dynamic laser light scattering. As expected, the mutual diffusion of individual chain changes into a fast cooperative diffusion of the chain segments ('blobs') between two neighboring entanglement points for both the copolymers as the solution changes from dilute to semidilute. Further increases of the concentration lead to a second slow relaxation mode. For the triblock chains, there exists an additional middle relaxation between the fast and the slow modes. The concentration (c) dependent study of the average characteristic decay time of the fast mode ((tau(f))) reveals that 1/(tau(f)) - c(-a) with 0.33 < alpha < 0.44, much smaller than 0.75 predicted or 0.72 observed for linear homopolymer chains in good solvent. It implies that the solvent quality of toluene for PB might not be as good as that for PS. Due to such a difference in solubility, it is reasonable to speculate that the PB and PS blocks are transiently segregated in semidilute solution. The relaxation of these transient PB and PS richer domains leads to the observed slow relaxation. Such a speculation is supported by the appearance of an additional slow relaxation mode in the study of polyisoprene-b-polystyrene-b-polyisoprene in semidilute solution in cyclohexane, a non-selective solvent, in which we alternated the solubility difference by a variation of the solution temperature.展开更多
Geometric and electronic properties of highly fluorinated fullerene C74F38 have been studied using the density functional theory at BLYP level with the double numerical atomic orbital basis sets with polarization func...Geometric and electronic properties of highly fluorinated fullerene C74F38 have been studied using the density functional theory at BLYP level with the double numerical atomic orbital basis sets with polarization functions (DNP). The optimized geometry of C74F38, quite different from that of C74, turns into a pronounced hexahedron shape because the six stabilizing isolated benzenoid rings tend to be as far apart as possible. The HOMO-LUMO energy gap and the binding energy of C74F38 indicate that C74F38 is not only kinetically but also dynamically stable. The shorter F-C bond lengths together with the analysis of the density of states and the Mulliken populations indicate that the F-C bonds in C74F38 have both covalent and ionic characters. The Mulliken populations show that the fluorine atoms obtain about 10 electrons from the C74 cage.展开更多
The adsorption of linear poly(N-isopropylacrylamide) (PNIPAM) chains on surfactant-free polystyrene (PS) nanoparticles was used as a model system to study the hydrophobic adsorption of polymer on the surface, because ...The adsorption of linear poly(N-isopropylacrylamide) (PNIPAM) chains on surfactant-free polystyrene (PS) nanoparticles was used as a model system to study the hydrophobic adsorption of polymer on the surface, because the hydrophobility of PNIPAM can be continuously varied by a small temperature change. The adsorption was investigated by a combination of static and dynamic laser light scattering (LLS) measurements. In static LLS, the absolute excess scattered light intensity led to the amount of PNIPAM adsorbed on the surface. In dynamic LLS, the hydrodynamic thickness of the adsorbed PNIPAM layer was accurately measured. For a given particle concentration, the adsorption increases as the PNIPAM concentration and the incubation temperature increase. The average density of the adsorbed PNIPAM layer is reciprocally proportional to the number of the PNIPAM chains on the surface, revealing a simple scaling of the chain density distribution. The adsorption follows the Langmuir's isotherm. The enthalpy change estimated from the adsorption at 25 degrees C and 30 degrees C is slightly positive, indicating that the adsorption involves the coil-to-globule transition of the chains on the surface.展开更多
The geometrical and electronic properties of the anionic and neutral V2O6 clusters were studied with the spin unrestricted hybrid density functional B3LYP method. The calculated ground states of both clusters are diff...The geometrical and electronic properties of the anionic and neutral V2O6 clusters were studied with the spin unrestricted hybrid density functional B3LYP method. The calculated ground states of both clusters are different from the previous theoretical results. The ground state of V2O6^- is found to be a doublet with C2v symmetry, while a doublet with D2h symmetry was previously obtained by Vyboishchikov and Sauer. For neutral V206, the ground state is an open-shell singlet with D2h symmetry whose energy is very close to that of the triplet state. In contrast, a closed-shell singlet with D2h symmetry was obtained by Vyboishchikov and Sauer, and Calatayud et al. found a triplet ground state with Cs symmetry. Moreover, the calculated adiabatic and vertical detachment energies of the anion cluster are in much better agreement with the experimental results of photoelectron spectroscopy than previous theoretical values.展开更多
Relative absorption intensities of the Fermi resonance polyads of isolated C-H chromophore for the CHC13 molecule are calculated by one-dimensional dipole moment surface which had been obtained by the ab initio densit...Relative absorption intensities of the Fermi resonance polyads of isolated C-H chromophore for the CHC13 molecule are calculated by one-dimensional dipole moment surface which had been obtained by the ab initio density functional method B3PW91 with 6-311++G(3df,2pd)basis set,and agree very well with the experimental results.It is shown that the nonlinearity of the dipole moment surface in the vicinity of the equilibrium configuration is responsihle for the intensities anomaly,i.e.the unusual strong intensities of the second Fermi resonance polyad.展开更多
Using density-functional calculations within the generalized gradient approximation (GGA)+U framework, we investigate the structural, electronic, and magnetic properties of the ground states of SrFeOn(n=2 and 2.5...Using density-functional calculations within the generalized gradient approximation (GGA)+U framework, we investigate the structural, electronic, and magnetic properties of the ground states of SrFeOn(n=2 and 2.5). The magnetism calculations show that the ground states of both SrFeO2 and SrFeO2.5 have G type antiferromagnetic ordering, with indirect band gaps of 0.89 and 0.79 eV, respectively. The electronic structure calculations demonstrate that Fe cations are in the high-spin state of (dz2)^2 (dxz ,dyz)^2 (dxy)^1(dx^2-y^2)^1(S=2), unlike the previous prediction of (dxz ,dyz)^3(dxy)^1(dx^2)^1(dx^2-y^2)^1(S=2) for SrFeO2, and in the high-spin state of (dxy,dxz,dyz,dx^2-y^2 ,dz2)^5(S=5/2) for SrFeO2.5.展开更多
Using time-resolved laser-induced fluorescence(LIF)spectroscopy,the fluorescence quantum beat decay was observed in C(1B_(2))←X(1A_(1))transition of SO_(2)molecule.The experimental results show that only the v_(3) mo...Using time-resolved laser-induced fluorescence(LIF)spectroscopy,the fluorescence quantum beat decay was observed in C(1B_(2))←X(1A_(1))transition of SO_(2)molecule.The experimental results show that only the v_(3) mode and its combination band v_(1)+v_(2)+v_(3) excitation exist the beat decay.Analyzing the result,we attribute the quantum beat states to the coupling of the v3 vibration mode of C state with the high vibrational levels of the electronic ground state.展开更多
The scanning tunnelling microscopy (STM) images of isolated iron phthalocyanine (FePc), cobalt phthalocyanine (CoPc), nickel phthalocyanine (NiPc) and copper phthalocyanine (CuPc) are simulated theoretically. All the ...The scanning tunnelling microscopy (STM) images of isolated iron phthalocyanine (FePc), cobalt phthalocyanine (CoPc), nickel phthalocyanine (NiPc) and copper phthalocyanine (CuPc) are simulated theoretically. All the simulated STM images show submolecular structures and reproduce well the features of the experimental images. The results show that there is a strong dependence of the STM images on the ion valence configuration of the metal ion. At the small tip bias voltages of less than 0.5 V, the central metal ions in NiPc and CuPc appear as holes in the molecular images, while they are the highlighted bumps in FePc and CoPc. The simulated images are interpreted by the fact that both FePc and CoPc systems have a significant dz2 character near the Fermi level while the NiPc and CuPc systems do not. Moreover, we predict that the central nickel ion for NiPc appears as a highlighted point when the tip bias voltage is larger than 0.7 V.展开更多
Based on the discrete variational method with the local-density-functional approximation,the cluster models were chosen to simulate the extraction of a single Al atom from Al(111)sample surface by a scanning tunneling...Based on the discrete variational method with the local-density-functional approximation,the cluster models were chosen to simulate the extraction of a single Al atom from Al(111)sample surface by a scanning tunneling microscopy W tip with and without external bias voltages.The calculated results show that the tip-sample effects of W tip on the extraction of an Al atom are very important.The Al atom can be extracted from the Al(111)surface by the pure W tip without external bias,as the tip approaches the sample within 10 a.u.(5.3Å).When the separation between the tip and the sample is larger than 10 a.u.,a positive bias must be applied to the sample.The extracted Al atom is expected to have net positive charge when it escapes from the Al(111)sample surface.The corresponding critical field is about 0.6V/Å.This value is in good agreement with experimental results.展开更多
The geometric and electronic properties of SrCoO2.5 have been studied using the local-spin density approximation together with the Hubbard method. The geometric optimization shows that the energy of a unit supercell f...The geometric and electronic properties of SrCoO2.5 have been studied using the local-spin density approximation together with the Hubbard method. The geometric optimization shows that the energy of a unit supercell for SrCoO2.5 with the space group Pnma is at least 1.37eV lower than the others, so we infer that the Prima structure is the ground state of SrCoO2.5 at low temperature. The electronic band structure calculations demonstrate that the paramagnetic ordering SrCoO2.5 at high temperature has the character of an indirect band gap semiconductor, while the antiferromagnetic ordering SrCoO2.5 at low temperature has the character of a conductor. The magnetism calculation shows that the magnetic moment of Co is 2.96μB comparable with the experimental measurement at the liquid nitrogen temperature, i.e. 3.30 ± 0.5μB.展开更多
The reconstruction process of the Si(111)√3 ×√3 R30°-Ag surface is studied by using a scanning tunnelling microscope at 78K.By applying a strong interaction between the tip and the surface,a tip-induced re...The reconstruction process of the Si(111)√3 ×√3 R30°-Ag surface is studied by using a scanning tunnelling microscope at 78K.By applying a strong interaction between the tip and the surface,a tip-induced reconstruction corresponding to the mergence of two Si(111)√3 ×√3 R30°-Ag domains is observed.Based on the inequivalent trimers(IET)model,this reconstruction process is attributed to a transition between the clockwise and counterclockwise IET domains.With this transition,the honeycomb-chained-trimer Si(111)√3 ×√3 R30°-Ag anti-phase boundary disappears and changes to the IET structure.展开更多
The relationship between particle size and catalytic activity of gold nanoparticle catalysts with γ-Al2O3 as support has been investigated. The catalysts were prepared via the gold sol with different particle sizes b...The relationship between particle size and catalytic activity of gold nanoparticle catalysts with γ-Al2O3 as support has been investigated. The catalysts were prepared via the gold sol with different particle sizes by micelle method, and their structures were characterized by HRTEM and XRD, respectively. Furthermore, the catalytic activities were tested by CO oxidation. Experimental results showed that the catalytic activity became much weaker when gold particles were increased from 3.2 to 6.6 nm. Additionally, the particle size was also a key factor to govern catalytic activity with regard to gold supported on TiO2 prepared by the methods of deposition-precipitation.展开更多
The generalized gradient approximation (GGA) based on density functional theory (DFT) was used to analyze the structural and electronic properties of Fe@C60 and C59Fe for comparison. Among the six possible optimiz...The generalized gradient approximation (GGA) based on density functional theory (DFT) was used to analyze the structural and electronic properties of Fe@C60 and C59Fe for comparison. Among the six possible optimized geometries of Fe@C60, the most favorable endohedral site of Fe atom is under the center of a hexagon ring, i.e., Fe@C60-6. The Energy gap (Eg) of Fe@C60-6 is smaller than those of C59Fe and C60, indicating the higher chemical reactivity. The magnetic moment of Fe atom in Fe@C60-6 is preserved to some extent though there is the hybridization between the ge atom and C atoms of the cage, in contrast to the completely quenched magnetic moment of the Fe atom in C59Fe.展开更多
The captioned question has been addressed by the steric effect; namely, the adsorption of proteins on a surface grafted with linear polymer chains decreases monotonically as the grafting density increases. However, th...The captioned question has been addressed by the steric effect; namely, the adsorption of proteins on a surface grafted with linear polymer chains decreases monotonically as the grafting density increases. However, there is no quantitative and satisfactory explanation why the adsorption starts to increase when the grafting density is sufficiently high and why polyethylene glycol(PEG) still remains as one of the best polymers to repel proteins. After considering each grafted chain as a molecular spring confined inside a "tube" made of its surrounding grafted chains, we estimated how its free energy depends on the grafting density and chain length, and calculated its thermal energy-agitated chain conformation fluctuation, enabling us to predict an adsorption minimum at a proper grafting density, which agrees well with previous experimental results. We propose that it is such a chain fluctuation that slows down the adsorption kinetically.展开更多
基金The financial support of the Hong Kong Special Administration Region Earmarked Grants (CUHK4257/01P, 2160174), theSpecial Funds for Major State Basic Research Projects (G1999064800), the CAS Bai Ren Project and the National ScienceFoundation of China (NSFC) are gratefully acknowledged.
文摘The chain dynamics of a pair of diblock poly(styrene-b-butadiene) (PS210-b-PB960) and triblock poly(styrene-b-butadiene-b-styrene) (PS200-b-PB1815-b-PS200) copolymers in both dilute and semidilute toluene solutions has been comparatively studied by dynamic laser light scattering. As expected, the mutual diffusion of individual chain changes into a fast cooperative diffusion of the chain segments ('blobs') between two neighboring entanglement points for both the copolymers as the solution changes from dilute to semidilute. Further increases of the concentration lead to a second slow relaxation mode. For the triblock chains, there exists an additional middle relaxation between the fast and the slow modes. The concentration (c) dependent study of the average characteristic decay time of the fast mode ((tau(f))) reveals that 1/(tau(f)) - c(-a) with 0.33 < alpha < 0.44, much smaller than 0.75 predicted or 0.72 observed for linear homopolymer chains in good solvent. It implies that the solvent quality of toluene for PB might not be as good as that for PS. Due to such a difference in solubility, it is reasonable to speculate that the PB and PS blocks are transiently segregated in semidilute solution. The relaxation of these transient PB and PS richer domains leads to the observed slow relaxation. Such a speculation is supported by the appearance of an additional slow relaxation mode in the study of polyisoprene-b-polystyrene-b-polyisoprene in semidilute solution in cyclohexane, a non-selective solvent, in which we alternated the solubility difference by a variation of the solution temperature.
基金Supported by the National Natural Science Foundation of China under Grant No 10174039, the Natural Science Foundation of Jiangsu Province under Grant No BK2002099, and the Science Foundation of Nanjing University of Science and Technology under Grant No AB96129.
文摘Geometric and electronic properties of highly fluorinated fullerene C74F38 have been studied using the density functional theory at BLYP level with the double numerical atomic orbital basis sets with polarization functions (DNP). The optimized geometry of C74F38, quite different from that of C74, turns into a pronounced hexahedron shape because the six stabilizing isolated benzenoid rings tend to be as far apart as possible. The HOMO-LUMO energy gap and the binding energy of C74F38 indicate that C74F38 is not only kinetically but also dynamically stable. The shorter F-C bond lengths together with the analysis of the density of states and the Mulliken populations indicate that the F-C bonds in C74F38 have both covalent and ionic characters. The Mulliken populations show that the fluorine atoms obtain about 10 electrons from the C74 cage.
文摘The adsorption of linear poly(N-isopropylacrylamide) (PNIPAM) chains on surfactant-free polystyrene (PS) nanoparticles was used as a model system to study the hydrophobic adsorption of polymer on the surface, because the hydrophobility of PNIPAM can be continuously varied by a small temperature change. The adsorption was investigated by a combination of static and dynamic laser light scattering (LLS) measurements. In static LLS, the absolute excess scattered light intensity led to the amount of PNIPAM adsorbed on the surface. In dynamic LLS, the hydrodynamic thickness of the adsorbed PNIPAM layer was accurately measured. For a given particle concentration, the adsorption increases as the PNIPAM concentration and the incubation temperature increase. The average density of the adsorbed PNIPAM layer is reciprocally proportional to the number of the PNIPAM chains on the surface, revealing a simple scaling of the chain density distribution. The adsorption follows the Langmuir's isotherm. The enthalpy change estimated from the adsorption at 25 degrees C and 30 degrees C is slightly positive, indicating that the adsorption involves the coil-to-globule transition of the chains on the surface.
基金Ⅴ. ACKN0WLEDGEMENTS This work was supported by the National Project for the Development of Key Fhndamental Sciences in China (G1999075305), the National Natural Science Foundation of China (50121202, 10474087), the USTCHP HPC project, and the SCCAS.
文摘The geometrical and electronic properties of the anionic and neutral V2O6 clusters were studied with the spin unrestricted hybrid density functional B3LYP method. The calculated ground states of both clusters are different from the previous theoretical results. The ground state of V2O6^- is found to be a doublet with C2v symmetry, while a doublet with D2h symmetry was previously obtained by Vyboishchikov and Sauer. For neutral V206, the ground state is an open-shell singlet with D2h symmetry whose energy is very close to that of the triplet state. In contrast, a closed-shell singlet with D2h symmetry was obtained by Vyboishchikov and Sauer, and Calatayud et al. found a triplet ground state with Cs symmetry. Moreover, the calculated adiabatic and vertical detachment energies of the anion cluster are in much better agreement with the experimental results of photoelectron spectroscopy than previous theoretical values.
基金Supported by the National Natrual Science Foundation of China(No.0098GG03-71)the Chinese Academy of Sciences(No.KJ951-Al-510).
文摘Relative absorption intensities of the Fermi resonance polyads of isolated C-H chromophore for the CHC13 molecule are calculated by one-dimensional dipole moment surface which had been obtained by the ab initio density functional method B3PW91 with 6-311++G(3df,2pd)basis set,and agree very well with the experimental results.It is shown that the nonlinearity of the dipole moment surface in the vicinity of the equilibrium configuration is responsihle for the intensities anomaly,i.e.the unusual strong intensities of the second Fermi resonance polyad.
基金Project supported by the National Natural Science Foundation of China (Grant Nos 10174039 and 10747139)the Natural Science Foundation of Jiangsu Province of China (Grant No BK2006204)the Scientific Research Development Foundation of Nanjing University of Science and Technology of China (Grant No AB96249)
文摘Using density-functional calculations within the generalized gradient approximation (GGA)+U framework, we investigate the structural, electronic, and magnetic properties of the ground states of SrFeOn(n=2 and 2.5). The magnetism calculations show that the ground states of both SrFeO2 and SrFeO2.5 have G type antiferromagnetic ordering, with indirect band gaps of 0.89 and 0.79 eV, respectively. The electronic structure calculations demonstrate that Fe cations are in the high-spin state of (dz2)^2 (dxz ,dyz)^2 (dxy)^1(dx^2-y^2)^1(S=2), unlike the previous prediction of (dxz ,dyz)^3(dxy)^1(dx^2)^1(dx^2-y^2)^1(S=2) for SrFeO2, and in the high-spin state of (dxy,dxz,dyz,dx^2-y^2 ,dz2)^5(S=5/2) for SrFeO2.5.
基金National Natural Science Foundation under Grant No.29873045the President Special Fund of the Chinese Academy of Sciences.
文摘Using time-resolved laser-induced fluorescence(LIF)spectroscopy,the fluorescence quantum beat decay was observed in C(1B_(2))←X(1A_(1))transition of SO_(2)molecule.The experimental results show that only the v_(3) mode and its combination band v_(1)+v_(2)+v_(3) excitation exist the beat decay.Analyzing the result,we attribute the quantum beat states to the coupling of the v3 vibration mode of C state with the high vibrational levels of the electronic ground state.
基金Supported by the National Natural Science Foundation of China under Grant Nos.10074058 and 59972306the Outstanding Young Foundation of China under Grant No.20025309。
文摘The scanning tunnelling microscopy (STM) images of isolated iron phthalocyanine (FePc), cobalt phthalocyanine (CoPc), nickel phthalocyanine (NiPc) and copper phthalocyanine (CuPc) are simulated theoretically. All the simulated STM images show submolecular structures and reproduce well the features of the experimental images. The results show that there is a strong dependence of the STM images on the ion valence configuration of the metal ion. At the small tip bias voltages of less than 0.5 V, the central metal ions in NiPc and CuPc appear as holes in the molecular images, while they are the highlighted bumps in FePc and CoPc. The simulated images are interpreted by the fact that both FePc and CoPc systems have a significant dz2 character near the Fermi level while the NiPc and CuPc systems do not. Moreover, we predict that the central nickel ion for NiPc appears as a highlighted point when the tip bias voltage is larger than 0.7 V.
基金Supported in part by the National Natural Science Foundation of China under Grant No.19734003Ministry of Science and Technology,China.
文摘Based on the discrete variational method with the local-density-functional approximation,the cluster models were chosen to simulate the extraction of a single Al atom from Al(111)sample surface by a scanning tunneling microscopy W tip with and without external bias voltages.The calculated results show that the tip-sample effects of W tip on the extraction of an Al atom are very important.The Al atom can be extracted from the Al(111)surface by the pure W tip without external bias,as the tip approaches the sample within 10 a.u.(5.3Å).When the separation between the tip and the sample is larger than 10 a.u.,a positive bias must be applied to the sample.The extracted Al atom is expected to have net positive charge when it escapes from the Al(111)sample surface.The corresponding critical field is about 0.6V/Å.This value is in good agreement with experimental results.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10174039 and 10747139, the Natural Science Foundation of Jiangsu Province under Grant No BK2006204, and the Scientific Research Development Foundation of Nanjing University of Science and Technology under Grant No AB96249.
文摘The geometric and electronic properties of SrCoO2.5 have been studied using the local-spin density approximation together with the Hubbard method. The geometric optimization shows that the energy of a unit supercell for SrCoO2.5 with the space group Pnma is at least 1.37eV lower than the others, so we infer that the Prima structure is the ground state of SrCoO2.5 at low temperature. The electronic band structure calculations demonstrate that the paramagnetic ordering SrCoO2.5 at high temperature has the character of an indirect band gap semiconductor, while the antiferromagnetic ordering SrCoO2.5 at low temperature has the character of a conductor. The magnetism calculation shows that the magnetic moment of Co is 2.96μB comparable with the experimental measurement at the liquid nitrogen temperature, i.e. 3.30 ± 0.5μB.
基金Supported by the National Natural Science Foundation of China under Grant Nos.5997203 and G1999075305the Hong Kong'Qiu Shi'Foundation.
文摘The reconstruction process of the Si(111)√3 ×√3 R30°-Ag surface is studied by using a scanning tunnelling microscope at 78K.By applying a strong interaction between the tip and the surface,a tip-induced reconstruction corresponding to the mergence of two Si(111)√3 ×√3 R30°-Ag domains is observed.Based on the inequivalent trimers(IET)model,this reconstruction process is attributed to a transition between the clockwise and counterclockwise IET domains.With this transition,the honeycomb-chained-trimer Si(111)√3 ×√3 R30°-Ag anti-phase boundary disappears and changes to the IET structure.
基金Project supported by the National Natural Science Foundation of China (No.50121202).
文摘The relationship between particle size and catalytic activity of gold nanoparticle catalysts with γ-Al2O3 as support has been investigated. The catalysts were prepared via the gold sol with different particle sizes by micelle method, and their structures were characterized by HRTEM and XRD, respectively. Furthermore, the catalytic activities were tested by CO oxidation. Experimental results showed that the catalytic activity became much weaker when gold particles were increased from 3.2 to 6.6 nm. Additionally, the particle size was also a key factor to govern catalytic activity with regard to gold supported on TiO2 prepared by the methods of deposition-precipitation.
基金Project supported by the National Natural Science Foundation of China (No. 10174039) and Jiangsu Natural Science Foundation (No. BK2002099). Dedicated to Professor Xikui Jiang on the occasion of his 80th birthday.
文摘The generalized gradient approximation (GGA) based on density functional theory (DFT) was used to analyze the structural and electronic properties of Fe@C60 and C59Fe for comparison. Among the six possible optimized geometries of Fe@C60, the most favorable endohedral site of Fe atom is under the center of a hexagon ring, i.e., Fe@C60-6. The Energy gap (Eg) of Fe@C60-6 is smaller than those of C59Fe and C60, indicating the higher chemical reactivity. The magnetic moment of Fe atom in Fe@C60-6 is preserved to some extent though there is the hybridization between the ge atom and C atoms of the cage, in contrast to the completely quenched magnetic moment of the Fe atom in C59Fe.
基金supported by the National Natural Science Foundation of China(Nos.51173177 and 51273091)the Ministry of Science and Technology of China Key Project(2012CB933802)+2 种基金the Hong Kong Special Administration Region Earmarked Projects(CUHK4036/11P,2130281 and 2060431CUHK4035/12P,2130306 and 4053005and CUHK7/CRF/12G,2390062)
文摘The captioned question has been addressed by the steric effect; namely, the adsorption of proteins on a surface grafted with linear polymer chains decreases monotonically as the grafting density increases. However, there is no quantitative and satisfactory explanation why the adsorption starts to increase when the grafting density is sufficiently high and why polyethylene glycol(PEG) still remains as one of the best polymers to repel proteins. After considering each grafted chain as a molecular spring confined inside a "tube" made of its surrounding grafted chains, we estimated how its free energy depends on the grafting density and chain length, and calculated its thermal energy-agitated chain conformation fluctuation, enabling us to predict an adsorption minimum at a proper grafting density, which agrees well with previous experimental results. We propose that it is such a chain fluctuation that slows down the adsorption kinetically.