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arXiv · 2604.20287

Read--Shockley formula for a general Bravais lattice in two dimensions

Lucia Scardia·Edoardo Giovanni Tolotti
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Abstract

In this note we consider a two-dimensional semi-discrete dislocation energy and propose a simple and physically motivated construction for the grain boundary between two crystal grains with a small orientation difference. In the case of a general Bravais lattice, the energy of this construction matches the logarithmic scaling predicted by Read and Shockley.

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Lucia Scardia, Edoardo Giovanni Tolotti. 2026-04-22. Read--Shockley formula for a general Bravais lattice in two dimensions. https://arxiv.org/abs/2604.20287

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