https://w3id.org/np/RAE2z9-q9RsX005v6yfaYYlD5881AGU9NnTQahtph740s
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dc:description "By Fourier optics and grating diffraction theory, a reflection peak of angular sharpness Δθ / tan(θ) = Δλ / λ requires constructive interference across N ~ λ / Δλ successive lattice planes, which in turn requires a coherent wave train at least N wavelengths long. Characteristic X-ray spectral linewidths in NIST reference data (ΔE/E ~ 10^-4 to 10^-3, corresponding to wave trains of thousands of oscillations) and sharp Bragg reflection profiles directly confirm Bragg's deduction over the rival irregular-pulse hypothesis.";
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<http://www.w3.org/2000/01/rdf-schema#comment> "Proposed test with existing data: Measure the angular full-width at half-maximum (Δθ) of characteristic X-ray Bragg reflections from high-perfection single crystals (and compare with the natural spectral linewidth Δλ/λ of characteristic atomic emission lines). Using diffraction grating / Scherrer / Darwin dynamical diffraction theory, compute the minimum longitudinal coherence length L_c = λ^2 / (2 Δλ) (or number of interfering wave trains N = λ / Δλ) required to produce the observed angular sharpness, and confirm that N >> 1 (on the order of 10^3–10^4 wavelengths), refuting single unorganized impulses.";
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