Off-Axis Wave Propagation in Hexagonal Lattice

When a wave travels at an angle θ relative to the primary lattice axis, symmetry is broken. Atoms experience both horizontal (X) and vertical (Y) forces, tracing out 2D elliptical trajectories (amber paths).

Highlighted Atom & 2D Orbit
Wavefront Direction Vector (k)
Compressed Bonds
Stretched Bonds
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