Publications related to 24-cell

Fiber-interface directional coupler inscribed by femtosecond laser for refractive index measurements

Jiangtao Zhou, Zhechen Zhang, Yiping Wang, Jiachen Wang

A novel fiber-interface directional waveguide coupler was inscribed on the surface of a coreless fiber by femtosecond laser, and was successfully applied to highly sensitive refractive index (RI) measurements. The primary arm was first inscribed to couple ...

2020

Possibility of an unconventional spin state of Ir4+ in Ba21Ir9O43 single crystal

László Forró, Henrik Moodysson Rønnow, Arnaud Magrez, Oleg Yazyev, Alla Arakcheeva, Ivica Zivkovic, Bálint Náfrádi, Lin Yang, Andrea Pisoni, Sergiy Katrych, Jacim Jacimovic, Noore Elahi Shaik

We report the synthesis of single crystals of a novel layered iridate Ba21Ir9O43 and present the crystallographic, transport, and magnetic properties of this material. The compound has a hexagonal structure with two iridium oxide layers stacked along the c ...

Amer Physical Soc2016

Protrusion-retraction switches and traction forces in spontaneous cell polarization

Alicia Carine Bornert

Cell migration is a fundamental property of all animal cells which is involved in processes such as embryogenesis, immune response, tissue regeneration and cancer metastasis. Directional migration requires cell polarization which could happen in response t ...

EPFL2016

A microfluidic platform for high-throughput multiplexed protein quantitation

Sebastian Maerkl, Jose Luis Garcia Cordero, Francesca Volpetti

We present a high-throughput microfluidic platform capable of quantitating up to 384 biomarkers in 4 distinct samples by immunoassay. The microfluidic device contains 384 unit cells, which can be individually programmed with pairs of capture and detection ...

Public Library of Science2015

Obstacles For Splitting Multidimensional Necklaces

Michal Lason

The well-known "necklace splitting theorem" of Alon (1987) asserts that every k-colored necklace can be fairly split into q parts using at most t cuts, provided k(q - 1)

Amer Mathematical Soc2015

Sc2Ga2CuO7: A possible quantum spin liquid near the percolation threshold

Henrik Moodysson Rønnow, Paul Gregory Freeman

Sc2Ga2CuO7 (SGCO) crystallizes in a hexagonal structure (space group: P63/mmc), which can be seen as an alternating stacking of single and double triangular layers. Combining neutron, x-ray, and resonant x-ray diffraction, we establish that the single tria ...

2015

Homogeneous selections from hyperplanes

János Pach

Given d + 1 hyperplanes h(1),..., h(d+1) in general position in R-d, let Delta(h(1),..., h(d+1)) denote the unique bounded simplex enclosed by them. There exists a constant c(d) > 0 such that for any finite families H-1,..., Hd+1 of hyperplanes in R-d, the ...

Academic Press Inc Elsevier Science2014

Upper bounds for the perimeter of plane convex bodies

Filip Moric

We show that the maximum total perimeter of k plane convex bodies with disjoint interiors lying inside a given convex body C is equal to , in the case when C is a square or an arbitrary triangle. A weaker bound is obtained for general plane convex bodies. ...

Springer2014

First-principles core structures of < c+a > edge and screw dislocations in Mg

William Curtin, Maryam Ghazisaeidi

The core structures of < c + a > edge and screw dislocations in Mg are computed using density functional theory (DFT). Both types dissociate into two 1/2 < c + a > partials on the second-order pyramidal planes. These DFT results are then allowed to relax w ...

Elsevier2014

Influence of Cr on the nucleation of primary Al and formation of twinned dendrites in Al-Zn-Cr alloys: Can icosahedral solid clusters play a role?

Michel Rappaz, Güven Kurtuldu

The equiaxed solidification of Al-20 wt.% Zn alloys revealed an unexpectedly large number of fine grains which are in a twin, or near-twin, relationship with their nearest neighbors when minute amounts of Cr (1000 ppm) are added to the melt. Several occurr ...

Elsevier2013

Belt distance between facets of space-filling zonotopes

To every d-dimensional polytope P with centrally symmetric facets one can assign a “subway map” such that every line of this “subway” contains exactly the facets parallel to one of the ridges of P. The belt diameter of P is the maximum number of subway lin ...

2012

Stripes in the two-dimensional t-J model with infinite projected entangled-pair states

We simulate the t-J model in two dimensions by means of infinite projected entangled-pair states (iPEPS) generalized to arbitrary unit cells, finding results similar to those previously obtained by the density-matrix renormalization group (DMRG) for wide l ...

2011

Optimal decision trees for point location in polytopic data sets - application to explicit MPC

Colin Neil Jones

Explicit Model Predictive Control (EMPC) produces control laws defined over a set of polytopic regions in the state space. In this paper we present a method to create a binary search tree for point location in such polytopic sets, in order to provide a fas ...

2010

Influence of process pressure on local facesheet instability for ultralight sandwich structures

Yves Leterrier, Julien Rion, Samuel Stutz

The skin wrinkling phenomenon was investigated in the case of ultra-light sandwich structures with a honeycomb core manufactured by one-shot vacuum bag processing. The interplay between process pressure and compressive strength of the skin was established. ...

2009

Glide of dislocations in non-octahedral planes of fcc metals: a review

Jean-Luc Martin

In spite of frequent observations, and of sonic important consequences for industrial applications, the glide motion of dislocations in non-octahedral planes of fcc metals and alloys remains rather poorly known, and not sufficiently considered for the anal ...

2009

Application of the superspace approach to members of the ferrite family

Ivan Orlov

The superspace concept is a new crystallographic approach for the generalisation of symmetry, structural models and structure dependent properties. Although the original motivation for the superspace was intended to describe symmetry of aperiodic crystals, ...

EPFL2007

Bond-order-modulated staggered-flux phase of thetJmodel on a square lattice

Frédéric Mila, Cédric Weber

Motivated by the observation of inhomogeneous patterns in some high-Tc cuprate compounds, several variational Gutzwiller-projected wave functions with built-in charge and bond-order parameters are proposed for the extended t−J−V model on the square lattice ...

2006