Cathodoluminescence (CL) Imaging & Spectroscopy L1-136

Scientific InstrumentationElectron-beam-induced light emission at nm resolutionδ=3 · standardL_DAG = 3.5📋 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_{C} L (r, λ) = e t a_{c} o l l \cdot e t a_{r} a d \cdot Q (r) \cdot c a r r i e r_{g} e n er a t i o n (r, E_{b}) \cdot s p ec t r u m (r, λ) + n

An electron beam (SEM or STEM, 1-30 keV) injected into a sample generates electron-hole pairs that recombine radiatively, emitting photons at wavelengths characteristic of band-edge, defect, or plasmon states. A parabolic mirror + spectrometer collects emitted light while beam rasters, yielding hyperspectral CL maps at 10 nm resolution (SEM) or sub-nm (STEM).

L-DAG

L.absorb.eBeam -> S.emit.recombine -> L.disperse.spectral -> int.temporal

L.absorb.eBeamS.emit.recombineL.disperse.spectralint.temporal

Well-posedness W

Existence:: true
Uniqueness:: linear inverse in Q(r); emission spectra library required
Stability:: conditional
κ:: 200

Linear at low injection; saturation/beam-damage at high current. Carrier-diffusion blurs spatial resolution beyond geometric beam.

Solvability C

Solver class:: Peak integration, NMF/MCR-ALS, drift-correction, learned (CL-Net)
Convergence rate q:: 2
Complexity:: CLS/NMF/MCR-ALS standard

Specs (0)

No L2 specs registered yet for this principle.