Integrated Calendar

09:45 Gathering and refreshments
10:00 Leslie Leiserowitz | Opening
Leeor Kronik
From Hirshfeld partitioning to molecular solids:
The renaissance of an answer to a non-question
10:45 Coffee break
11:00 Meir Lahav | OpeningRafal Klajn
Mendel Cohen and his legacy:
Half-a-century of solid-state photoreactivity

Monitoring life in action—as it occurs in real time within the cellular cytoplasm at the relevant single molecule scale—remains an important challenge. In order to see life unravel and monitor specific biomolecules as they diffuse and assemble in the cytoplasm, we create contrast with the cellular background by fluorescently labeling biomolecules. Yet the diffraction limit of light naively keeps us from peering into length scales comparable to those of single molecules. For this reason, the 2014 Chemistry Nobel Prize was awarded for separating signals from particles in time that cannot otherwise be separated in space to localize biomolecular structures to a precision beyond the diffraction limit. However, this process is slow and thus we compromise temporal resolution by separating signal in time. Here we present new Mathematics that make it possible to consider complex dynamical signals from which we can build a story of life in action starting from single, or very few, photons. The methods we present—motivated by the tools of Bayesian nonparametrics—show us how to achieve diffraction-limited tracking from signal previously considered insufficient. If time allows, we will discuss extensions of our methods to inferring diffusional dynamics from single photon arrivals from confocal imaging methods

The most obvious and distinctive feature of an amorphous solid is its heterogeneous microscopic structure. A central issue is how such disorder governs the elastic properties of an amorphous solid so that it has different behavior from its crystalline counterpart. I will show how such disorder on the microscale determines the elastic properties on long length scales. This theoretical approach ultimately allows us to control a material’s elastic properties and to understand how a material ages and stores memories.

I start by studying the change in an amorphous solid’s elastic properties upon the removal of a single bond. I show that the change in moduli, which has a broad and universal shape, is uncorrelated for different imposed strains. Thus, by selectively removing a small number of bonds, the precise global and local elastic behavior of the solid can be controlled. This in turn suggests that small changes in bond properties, which occur naturally as a solid ages, can dramatically alter the solid’s elastic response; the history of imposed strains is encoded in the non-linear response and the aging process, usually considered to be detrimental, can be harnessed to design materials with novel desired properties.