Shapes of pored membranes

We study the shapes of pored membranes within the framework of the Helfrich theory under the constraints of fixed area and pore size. We show that the mean curvature term leads to a budding- like structure, while the Gaussian curvature term tends to flatten the membrane near the pore; this is corroborated by simulation. We propose a scheme to deduce the ratio of the Gaussian rigidity to the bending rigidity simply by observing the shape of the pored membrane. This ratio is usually difficult to measure experimentally. In addition, we briefly discuss the stability of a pore by relaxing the constraint of a fixed pore size and adding the line tension. Finally, the flattening effect due to the Gaussian curvature as found in studying pored membranes is extended to two-component membranes. We find that sufficiently high contrast between the components' Gaussian rigidities leads to budding which is distinct from that due to the line tension.Comment: 8 pages, 9 figure

Zeta Potential of Modified Multi-walled Carbon Nanotubes in Presence of poly (vinyl alcohol) Hydrogel

The main objective of this study is investigate the behavior of the Zeta Potential of the MWCNT modified with SDS(Sodium Dodecyl Sulfate) and CTAB(Cetyl Tetraethyl Ammonium Bromide) in presence of PVA. Full hydrolyzed PVA was used. As a result, adding PVA in the CNT solution led to decrease the Zeta Potential. The Zeta Potential of suspended colloid varied from 42.00mV to 6.48mV and -45.00mV to -6.4mV at 1.5% concentration of PVA; according with the changing pH, the Zeta Potential dropped to near zero at pH 3 and 11. The pH and PVA has strong influence in the reduction of ZP of MWCNT solution. MWCNT-PVA solution with 33.30mV, -35.69mV at 0.01% of PVA was exposed under AC field; a uniform coat was obtained, with the SDS-MWCNT-PVA solution.National Natural Science Foundation of China Project (Grant No.51073024), the Royal Society-NSFC international joint project (Grant No.51111130207) and Beijing Municipal Science and Technology Plan Projects (No. Z111103066611005)

On tidal forces in f(R) theories of gravity

Despite the extraordinary attention that modified gravity theories have attracted over the past decade, the geodesic deviation equation in this context has not received proper formulation thus far. This equation provides an elegant way to investigate the timelike, null and spacelike structure of spacetime geometries. In this investigation we provide the full derivation of this equation in situations where General Relativity has been extended in Robertson-Walker background spacetimes. We find that for null geodesics the contribution arising from the geometrical new terms is in general non-zero. Finally we apply the results to a well known class of f(R) theories, compare the results with General Relativity predictions and obtain the equivalent area distance relation.Comment: 9 pages, 2 figure

The Vagabond Flourine Atom Revisited: Dissociative Photoionization of Tri- and Pentafluoropropene

Photoelectron Photoion Coincidence (PEPICO) Spectroscopy studies on two unsaturated hydrofluorocarbons (HFCs), also known as hydrofluoroolefines (HFOs), are presented here. Previously, the Sztáray group has studied the dissociation of trans-1,3,3,3-tetrafluoroprop-1-ene (ElixClean), which is a fourth-generation refrigerant and propellant and has lower global warming potential than its precursors. My study is an extension of the ElixClean study as it aims to explore how the different number of fluorine atoms impact the dissociation reactions of these molecules. Both 3,3,3-trifluoropropene (TFP) and cis-1,2,3,3,3- pentafluoropropene (PFP) are also utilized as propellants and refrigerants.Measurements were carried out with remote access to the CRF-PEPICO (combustion reactions followed by photoelectron photoion coincidence spectroscopy) endstation of the vacuum-ultraviolet (VUV) beamline at the Swiss Light Source (SLS). Gas phase samples were intersected with tunable vacuum ultraviolet synchrotron light to create photoions and photoelectrons which are then detected in coincidence. Breakdown diagrams were then obtained by integrating the photoelectron-photoion coincidence signal for times of flight corresponding the precursor and fragment ions and plotting their fractional abundances at each photon energy. Analysis of these dissociation mechanisms was aided by ab initio calculations. Dissociative photoionization of TFP was studied over the photon energy range of 11.8–16.0 eV. Besides the molecular ion (m/z 96), there were four main fragment ions detected: m/z 95 (H-loss), 77 (F-loss), 46 (CF2-loss), 27 (CF3-loss). The experimental data for the dissociative photoionization of PFP was taken over the photon energy range of 12.0–16.5 eV and indicated the formation of m/z 113(F-loss), m/z 82 (CF2-loss), m/z 69 (C2HF2-loss), and m/z 51 (C2F3-loss), but an H-loss is not detected. Quantum-chemical calculations at the B3LYP level were used to explore the potential energy surface and identify the most likely structures that play a role in the dissociative photoionization processes of these fluorinated propenes. The energies of the most relevant stationary points were refined utilizing G4 composite method. The dissociation/isomerization pathways of energy-selected TFP and PFP ions will be explored, and I will discuss the most likely mechanisms that lead to the lowest-energy products