Physical Transformation AtlasPTA
Constraint · constraint:space-charge-limit

Space-charge limit

Electron cloud between thermionic electrodes limits the current unless the gap is microns or caesium is added.

Atlas record: 1 claim references this constraint — 1 established.

Explorerelations · sources · cite

J ≤ (4ε₀/9)√(2e/m) V^{3/2}/d² (Child–Langmuir)

1claims0enumerated routes0routes with complete-composition evidence0candidate routes not searched1cited sources

Relations

bounded by · 1
Thermionic emission—bounded by→Space-charge limitestablished

Cited sources · 1

  1. [1]
    G. N. Hatsopoulos, E. P. Gyftopoulos. Thermionic Energy Conversion, Vol. 1: Processes and Devices (1973)
    MIT Press · book, no DOI · record

Cite this entity

Physical Transformation Atlas (2026). entity constraint:space-charge-limit: Space-charge limit. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/e/constraint/space-charge-limit

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