Debye–Waller factor e^{−q²⟨u²⟩/6}; characteristic-function of Gaussian displacement

Layer 1 — Physicsin the x-ray-physics subtree

Debye-Waller factor framework — the canonical thermal displacement correction to x-ray scattering amplitudes from crystalline materials (Debye, Ann. Phys. 348, 49, 1913; Waller, Z. Phys. 17, 398, 1923). Setup: an atom at equilibrium…

Related concepts

Characteristic function
DW = exp(−q²⟨u²⟩/6); Bloch ⟨u²⟩ = 3ℏ/(2Mω)·coth(ℏω/2kT); ZP ⟨u²⟩_zp = 3ℏ/(2Mω)

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