material_effective_z — TOMOGRAPHY spectral_xray op

• Data kinds: none → table (an op determined by its arguments alone — it takes no image or data input)

• Call: import fullseye as fs; fs.ledger.material_effective_z(material='WATER', exponent: 'float' = 2.94, density_g_cm3=None) -> 'dict' (to call the implementation directly, import materials; materials.material_effective_z(material='WATER', exponent: 'float' = 2.94, density_g_cm3=None) -> 'dict'; from the registry, opstomography.get("material_effective_z"))

Usage

Return the effective atomic number (Mayneord / Spiers power law) and the electron density from the composition.

> The detailed description below is the original text — the summary and the headings are translated.

Z_eff = (Σ aᵢ Zᵢ^p)^(1/p)、aᵢ = wᵢ (Z/A)ᵢ / Σ wⱼ (Z/A)ⱼ は電子の割合、p = 2.94 は光電効果の断面積の Z 依存(≈ Z^3.94/原子 → Z^2.94/電子)から来る慣用の指数。水は 7.42(公表値)。電子密度 ρₑ = ρ N_A Σ wᵢ Zᵢ/Aᵢ [電子/cm³] と、水に対する比も返す。デュアルエナジーの像から推定する実効 Z(dualxray.effective_z_map)は、この「組成の Z_eff」と同じものではない(光電効果の比で定義した Z は、スペクトルの位置で値が数 % 動く)—— その差を PoC で数える。

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_dual_energy_xray — py -3.11 examples/poc_dual_energy_xray.py

Ops the type connects to (they accept table as input)

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Same category (spectral_xray)

material_xray_table · material_xray_attenuation · material_xray_constants · xray_tube_spectrum · xray_beam_quality · photon_counting_channels · dual_kvp_channels · xray_channel_projection


*Provenance: materials.py — TOMOGRAPHY operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.