Oval Domes: History, Geometry and Mechanics

An oval dome may be defined as a dome whose plan or profile (or both) has an oval form. The word Aoval@ comes from the latin Aovum@, egg. Then, an oval dome has an egg-shaped geometry. The first buildings with oval plans were built without a predetermined form, just trying to close an space in the most economical form. Eventually, the geometry was defined by using arcs of circle with common tangents in the points of change of curvature. Later the oval acquired a more regular form with two axis of symmetry. Therefore, an “oval” may be defined as an egg-shaped form, doubly symmetric, constructed with arcs of circle; an oval needs a minimum of four centres, but it is possible also to build polycentric ovals. The above definition corresponds with the origin and the use of oval forms in building and may be applied without problem until, say, the XVIIIth century. Since then, the teaching of conics in the elementary courses of geometry made the cultivated people to define the oval as an approximation to the ellipse, an “imperfect ellipse”: an oval was, then, a curve formed with arcs of circles which tries to approximate to the ellipse of the same axes. As we shall see, the ellipse has very rarely been used in building. Finally, in modern geometrical textbooks an oval is defined as a smooth closed convex curve, a more general definition which embraces the two previous, but which is of no particular use in the study of the employment of oval forms in building. The present paper contains the following parts: 1) an outline the origin and application of the oval in historical architecture; 2) a discussion of the spatial geometry of oval domes, i. e., the different methods employed to trace them; 3) a brief exposition of the mechanics of oval arches and domes; and 4) a final discussion of the role of Geometry in oval arch and dome design

Étude par détection de photons des processus électroniques au sein d'une jonction tunnel dans un milieu moléculaire

La luminescence induite par STM (microscopie à effet tunnel) est une source d'informations d'une grande richesse sur les processus électroniques au sein d'un objet nanoscopique individuel. Nous nous sommes intéressés à une jonction Au/Au(111) sous vide puis dans un milieu moléculaire. L'étude sous vide a permis de montrer l'influence des variations spatiales des densités d'états de la surface.
L'émission à l'interface liquide-solide a été démontrée et le rôle de la fonction diélectrique du solvant mis en évidence. Nous avons ensuite étudié les corrélations temporelles entre les photons émis. Selon le liquide environnant la jonction, les photons peuvent être émis par paquets. Nous relions ce phénomène à la modification structurelle de la jonction induite par la présence d'une molécule et à la différence d'énergie entre ses orbitales frontières. Si elle est assez faible, des chemins tunnel résonants existent et les électrons traversent la barrière par paquets.
L'influence d'une couche auto-assemblée sur le substrat est étudiée. Des dérivés de triphénylènes interagissent trop faiblement avec Au(111), mais avec des alcanethiols chimisorbés, la résolution moléculaire est atteinte simultanément sur l'image STM et la carte de photons. Nous montrons que le contraste sur cette dernière provient de la modulation de l'extension spatiale à l'intérieur de la barrière des densités d'état locales due à la liaison S–Au. L'élaboration de multicouches organiques est alors envisagée pour observer l'électroluminescence d'une molécule unique, isolée du substrat par les thiols et étudier des corrélations d'origine électronique. Nous avons déjà caractérisé optiquement une telle couche de C60

Single-molecule fluctuations in a tunnel junction: A study by scanning-tunnelling-microscopy–induced luminescence

Time-resolved measurements are essential to understand dynamic processes. The property of a tunnel junction to emit light, even in a liquid, offers an optical route to study fast phenomena occurring in this model nanoscopic system. We apply time-correlated two-photon counting to the light emitted by a STM junction immersed in a liquid. We analyze the diffusion of a single molecule at room temperature with sub-nanosecond time resolution, and its influence on the tunnelling process

Mutating the cholesterol binding site on amyloid precursor protein alters the processing and production of Aβ-amyloid peptides

International audienc

Mutating the cholesterol binding site on amyloid precursor protein alters the processing and production of Aβ-amyloid peptides

International audienc

Fabrication and characterization of super-polished wedged borosilicate nano-cells

We report on the fabrication of an all-glass vapor cell with a thickness varying linearly between (exactly) 0 and ∼1  μm. The cell is made in Borofloat glass that allows state-of-the-art super polish roughness, a full optical bonding assembling and easy filling with alkali vapors. We detail the challenging manufacture steps and present experimental spectra resulting from fluorescence and transmission spectroscopy of the cesium D1 line. The very small surface roughness of 1 Å rms is promising to investigate the atom-surface interaction or to minimize parasite stray light