Shapes within shapes: how particles arrange inside a cavity

Related Experiment Video

Updated: Feb 13, 2026

Measuring the Shape and Size of Activated Sludge Particles Immobilized in Agar with an Open Source Software Pipeline
09:27

Measuring the Shape and Size of Activated Sludge Particles Immobilized in Agar with an Open Source Software Pipeline

Published on: January 30, 2019

7.5K

Duanduan Wan1, Sharon C Glotzer

  • 1Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA. sglotzer@umich.edu.

Soft Matter
|March 8, 2018
PubMed

More Related Videos

Shape Memory Polymers for Active Cell Culture10:53

Shape Memory Polymers for Active Cell Culture

Published on: July 4, 2011

13.9K
Controlling the Size, Shape and Stability of Supramolecular Polymers in Water16:24

Controlling the Size, Shape and Stability of Supramolecular Polymers in Water

Published on: August 2, 2012

19.3K

Related Concept Videos

VSEPR Theory and the Basic Shapes02:52

VSEPR Theory and the Basic Shapes

Overview of VSEPR Theory
85.5K
Molecular Shapes01:18

Molecular Shapes

Molecules have characteristic shapes that are crucial for their function. The arrangement of various electron groups around the central atom dictates their molecular geometry. Electron pairs in the valence shell of a central atom will adopt an arrangement that minimizes repulsions between the electron pairs by maximizing the distance between them. The valence electrons form either bonding pairs, located primarily between bonded atoms, or lone pairs.
Two regions of electron density in a diatomic...
62.5K
Molecular Shape and Polarity03:37

Molecular Shape and Polarity

Dipole Moment of a Molecule
76.1K
First Derivatives and the Shape of a Graph01:22

First Derivatives and the Shape of a Graph

In calculus, the concept of the first derivative plays a crucial role in understanding the behavior of a function over its domain. The first derivative, denoted as f’(x), provides insight into how a function changes at any given point, much like a cyclist adjusting speed along a winding trail. By analyzing the first derivative, mathematicians can determine where a function is increasing, decreasing, or reaching critical points.The first derivative provides a precise method for classifying...
91
Second Derivatives and the Shape of a Graph01:29

Second Derivatives and the Shape of a Graph

The second derivative of a function provides essential information about a graph's curvature and how it changes over an interval. It helps determine whether a function is concave upward or concave downward and identifies points where the curvature changes. These properties are fundamental in analyzing real-world scenarios, such as changes in road elevation, population growth, and economic trends.A function f(x) is considered concave upward on an interval if its graph lies above all its tangent...
121
Shape and Texture of Coarse Aggregate01:25

Shape and Texture of Coarse Aggregate

Aggregate shape is classified based on the relative sharpness or roundness of the edges and corners. This classification includes categories like rounded, angular, elongated, and flaky, each with specific characteristics. Rounded aggregates, fully shaped by attrition, are typical of river or seashore gravel, while angular aggregates, such as crushed rock, have well-defined edges. Aggregates that are elongated and flaky are less desirable, as they can reduce the workability and strength of...
703