Atomic-Scale Corrugations in Crystalline Polypeptoid Nanosheets Revealed by Three-Dimensional Cryogenic Electron Microscopy.

Amphiphilic molecules that can crystallize often form molecularly thin nanosheets in aqueous solutions. The possibility of atomic-scale corrugations in these structures has not yet been recognized. We have studied the self-assembly of amphiphilic polypeptoids, a family of bio-inspired polymers that can self-assemble into various crystalline nanostructures. Atomic-scale structure of the crystals in these systems has been inferred using both X-ray diffraction and electron microscopy. Here we use cryogenic electron microscopy to determine the in-plane and out-of-plane structures of a crystalline nanosheet. Data were collected as a function of tilt angle and analyzed using a hybrid single-particle crystallographic approach. The analysis reveals that adjacent rows of peptoid chains, which are separated by 4.5 Å in the plane of the nanosheet, are offset by 6 Å in the direction perpendicular to the plane of the nanosheet. These atomic-scale corrugations lead to a doubling of the unit cell dimension from 4.5 to 9 Å. Our work provides an alternative interpretation for the observed Å X-ray diffraction peak often reported in polypeptoid crystals.

Importance of the Positively Charged σ-Hole in Crystal Engineering of Halogenated Polypeptoids.

Crystalline nanosheets formed by amphiphilic block copolypeptoids with halogenated phenyl side chains were imaged at the atomic-scale using cryogenic transmission electron microscopy (cryo-TEM). In general, the polypeptoid molecules adopt V-shaped configurations in the crystalline state, and adjacent molecules can pack with one another in either parallel or antiparallel arrangements, depending on the chemical composition. The halogen bond, which can have characteristic energies ranging from 1 to 5 kcal/mol, is commensurate with the parallel configuration. However, cryo-TEM images show that chains in the halogenated crystals were in the antiparallel configuration. Molecular dynamics (MD) simulations show that positively charged σ-holes, which are characteristic of halogen atoms covalently bonded to carbon atoms, play an important role in determining crystal geometry. Parallel and antiparallel configurations exhibited similar stability in simulations when standard force fields that only account for the electronegativity of halogen atoms were used. However, including the σ-hole in the simulations resulted in a destabilization of the parallel configuration. This combination of imaging and simulation, which has played an important role in structural biology, has the potential to improve our understanding of factors that govern noncovalent interactions in synthetic materials.