Neutron Diffraction (powder / single crystal) L1-135

Scientific InstrumentationNeutron elastic diffraction for magnetic + H-site structuresδ=3 · standardL_DAG = 2.7📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

I (hk l) = ∣ F_{N} (hk l) ∣^{2} + ∣ F_{M} (hk l) ∣^{2} \cdot s i n^{2} (a l p h a_{M}); F = F o u r i er o f b_{j} d e l t a (r - r_{j})

Neutrons scatter elastically from nuclear and magnetic moments; Bragg condition d = n*lambda/(2*sin(theta)) same as X-ray. Complementary to X-ray: sensitive to light elements, isotope-specific, and magnetic scattering. Time-of-flight (TOF) at spallation sources uses polychromatic beams.

L-DAG

L.diffract.bragg -> L.project.rescipocal -> int.angular

L.diffract.braggL.project.rescipocalint.angular

Well-posedness W

Existence:: true
Uniqueness:: Rietveld LS unique with adequate data / symmetry constraints
Stability:: conditional
κ:: 300

Crystalline-structure refinement linear in peak intensities; limited-resolution phase problem resolved by known symmetry.

Solvability C

Solver class:: Le Bail profile, Rietveld refinement (GSAS-II, Fullprof, Jana), Le Bail + ab initio structure solution, symmetry-mode analysis, learned (neutron-Net)
Convergence rate q:: 2
Complexity:: Rietveld O(iter * N_refl * N_param)

Specs (0)

No L2 specs registered yet for this principle.