Stochastic switching of subphthalocyanine arrays triggered by scanning tunneling microscopy

Single-molecular switching phenomena in monolayer arrays of subphthalocyanine adsorbed on Cu(1 0 0) surface were investigated by scanning tunneling microscopy (STM) under ultrahigh vacuum. The molecules evaporated on the surface arranged in a square lattice taking the Cu(1 0 0)SubPc(5 × 5) epitaxy. During continuous STM imaging at fixed tunneling conditions the topography of the individual molecules spontaneously changed between the high and low states. This topographic change was attributed to orientational switching between the upward and downward adsorption of the axial Cl atom of the molecule on the Cu surface. Molecular energy calculations and statistical thermodynamic evaluation concluded that the tip-triggered disturbance in the close-packed molecular array induced the molecular rearrangement accompanied with the stochastic orientational switching.     

Flow characteristics and spinnability of sols prepared from silicon alkoxide solution

Structural evolution of the solution of tetraethoxysilane hydrolyzed with [H₂O]/[Si(OC₂H₅)₄] = 2 under acidic condition has been investigated by rheological measurements. It was found that the solution behaves as a Newtonian liquid up to a highly viscous state and shows spinnability before gelation when the evaporation of the solvent is allowed during gelation reaction. On the other hand, the solution behaved as a non-Newtonian liquid in the viscous state, showing no spinnability when the evaporation of the solvent was not allowed during the reaction. It was indicated from the Casson plots that the spinnable solution prepared in the open system has no yield stress up to highly viscous states, whereas the non-spinnable solution prepared in the closed system has a yield stress at viscous states. It was proposed that the increase in viscosity of the open system solution is attributable to the concentration of the sol particles whereas that of the closed system solution is attributable to the formation of the three dimensional network in the solution.     

On the convergence of partial differential equations of parabolic type with rapidly oscillating coefficients to stochastic partial differential equations

In this paper we consider the convergence of the solutions to a sequence of partial differential equations of parabolic type with rapidly oscillating coefficients to the solutions of a stochastic partial differential equation. We use the martingale method and the characteristic functional to prove that the martingale problem has a unique solution. Our emphasis is in treating strongly mixing noises.This research was partially supported by Stifting Volkswagenwerk through Forschungszentrum BiBoS Universität Bielefeld and Grant-in-Aid for General Scientific Research (C) 61540162, the Ministry of Education, Science and Culture (Japan). Presented at the International Workshop on Diffusion Approximations and Related Topics, IISA, Laxenburg, Austria, 29 June to 3 July 1987.     

Synthesis of soluble quinacridones

The synthesis of 4,11-dialkylthioquinacridones and 5,12-dialkyl-4,11-dialkylthioquinacridone from o-alkylthioanilines and diethyl 2,5-dioxo-1,4-cyclohexanedicarboxylate is described. These compounds are easily soluble in organic solvents in contrast to unsubstituted quinacridone.     

A remark on totally vicious space-time

If a space-time is vicious at a some point, then it is totally vicious.     

Double coverings of rational surface

Let K be a purely trancendental extension of a field k with two variables. We want to classify fields {L}, which are quadratic extension of K. First we prove the existence of a normal form of the defining equation of L. Then we give a rough classification and several results. Lastly we mention of an application to the theory of plane curves.     

Spanning Trees Crossing Few Barriers

We consider the problem of finding low-cost spanning trees for sets of $n$ points in the plane, where the cost of a spanning tree is defined as the total number of intersections of tree edges with a given set of $m$ barriers. We obtain the following results: (i) if the barriers are possibly intersecting line segments, then there is always a spanning tree of cost $O(\min(m^2,m\sqrt{n}))$; (ii) if the barriers are disjoint line segments, then there is always a spanning tree of cost $O(m)$; (iii) ] if the barriers are disjoint convex objects, then there is always a spanning tree of cost $O(n+m)$. All our bounds are worst-case optimal, up to multiplicative constants.