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Growing Protein Crystals with Distinct Dimensions Using Automated Crystallization Coupled with In Situ Dynamic Light Scattering

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Hard-sphere crystallization gets rarer with increasing dimension.

J A van Meel¹, B Charbonneau, A Fortini

¹FOM Institute for Atomic and Molecular Physics, Science Park 104, 1098 XG Amsterdam, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

This summary is machine-generated.

Crystallization barriers for hard spheres increase with dimension due to geometric frustration. Polydispersity further hinders crystal formation, impacting jamming behavior in higher dimensions.

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Area of Science:

Physics
Materials Science
Statistical Mechanics

Background:

Crystallization of monodisperse hard spheres exhibits a higher free-energy barrier in four dimensions compared to three.
This phenomenon is attributed to increased geometrical frustration between fluid order and crystal structure.

Purpose of the Study:

To analyze microscopic contributions to fluid-crystal interfacial free energy.
To understand how the crystallization barrier changes with dimensionality.
To investigate the role of polydispersity in crystal formation.

Main Methods:

Analysis of microscopic contributions to fluid-crystal interfacial free energy.
Study of jamming behavior in four, five, and six dimensions.
Comparison with existing theoretical models.

Main Results:

The free-energy barrier to crystallization grows with increasing dimension.
Polydispersity plays a significant role in preventing crystal formation.
Observations of jamming behavior in higher dimensions were made.

Conclusions:

Higher dimensionality increases the energetic barrier for hard sphere crystallization.
Polydispersity is a key factor inhibiting crystallization.
The study provides insights into jamming phenomena in dimensions four and above.