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Concept

Packing problems

Publications associées (5)

Six-dimensional sphere packing and linear programming

Maryna Viazovska, Matthew De Courcy-Ireland, Maria Margarethe Dostert

We prove that the Cohn-Elkies linear programming bound for sphere packing is not sharp in dimension 6. The proof uses duality and optimization over a space of modular forms, generalizing a construction of Cohn- Triantafillou [Math. Comp. 91 (2021), pp. 491 ...

Amer Mathematical Soc2024

The rule of four: anomalous distributions in the stoichiometries of inorganic compounds

Nicola Marzari, Marnik Bercx, Carl Simon Adorf, Elena Gazzarrini

Why are materials with specific characteristics more abundant than others? This is a fundamental question in materials science and one that is traditionally difficult to tackle, given the vastness of compositional and configurational space. We highlight he ...

Nature Portfolio2024

Scaling for hard-sphere colloidal glasses near jamming

Eric DeGiuli

Hard-sphere colloids are model systems in which to study the glass transition and universal properties of amorphous solids. Using covariance matrix analysis to determine the vibrational modes, we experimentally measure here the scaling behavior of the dens ...

IOP Publishing - EPL Association2016

Synthesis, Molecular Structure, and Anticancer Activity of Cationic Arene Ruthenium Metallarectangles

Paul Joseph Dyson, Anna Katherine Renfrew

Cationic arene ruthenium-based tetranuclear complexes comprising rectangular structures have been obtained from the dinuclear arene ruthenium complexes [Ru2(arene)2(OO.intrsec.OO)2Cl2] (arene = p-cymene, hexamethylbenzene; OO.intrsec.OO = 2,5-dihydroxy-1,4 ...

American Chemical Society2009

Domain structure and optical properties of colloidal photonic crystal

Heinrich Hofmann

Thin colloidal photonic crystals were grown using shear-flow crystallization of polystyrene colloidal nanoparticles. The arrays consist of two types of domains, which are clearly visible on scanning electron microscopy patterns. Both domains have cubic clo ...

2006