Densest vs. jammed packings of 2D bent-core trimers

Abstract

We identify the maximally dense lattice packings of tangent-disk trimers with fixed bond angles ($\theta ={\theta }_0$) and contrast them to both their nonmaximally-dense-but-strictly-jammed lattice packings as well as the disordered jammed states they form for a range of compression protocols. While only ${\theta }_0=0,60^{\circ },\mathrm{and}120^{\circ }$ trimers can form the triangular lattice, maximally-dense maximally-symmetric packings for all ${\theta }_0$ fall into just two categories distinguished by their bond topologies: half-elongated-triangular for $0<{\theta }_0<60^{\circ }$ and elongated-snub-square for $60^{\circ }<{\theta }_0<120^{\circ }$. The presence of degenerate, lower-symmetry versions of these densest packings combined with several families of less-dense-but-strictly-jammed lattice packings act in concert to promote jamming.

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