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What these patches are and why they form is still argued.","posed_since":"","precise":"In Pb(Mg1/3Nb2/3)O3 (PMN) and $\\mathrm{PMN}-x\\mathrm{PbTiO3}$, diffuse scattering and frequency-dispersive dielectric response (Vogel-Fulcher freezing near approximately 220 K in PMN) indicate polar correlations below a Burns temperature of approximately 600 K. Determine their structure (size distribution and correlation length versus $T$; discrete nanoregions versus a continuous slush of nanodomains) and their cause (random electric fields from B-site charge disorder, random bonds, or local strain) with a first-principles-based effective Hamiltonian validated against diffuse-scattering line shapes. An answer is a model reproducing the diffuse scattering and dielectric dispersion.","problem_ref":null,"references":"","settled_by":"An atomistic model whose computed diffuse scattering and dielectric spectra match single-crystal data over 100 to 700 K without fitted correlation parameters.","status_note":"","title":"Structure and origin of polar nanoregions in relaxor 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