Physical Transformation AtlasPTA
Pathway · p-0947445de9 · extends a recorded pathway

Nuclear binding-energy difference → Useful heat

Nuclear binding-energy differenceRadioactive decayBeta particlesRadioisotope heatingTemperature gradientHeat conductionHeat flowUseful heat

Epistemic state of the route

known constituent relations
7 / 7 established or replicated · weakest constituent established
constituent maturity floor
K4 · experimentally observed
search for this exact route
Not assessed — complete composition not searched.
recorded-pathway overlap
shares its closing relations with Heat exchanger · 3/7 relations shared
route-level evidence
0 sources for the complete composition · 2 cited by the constituent steps
boundaries and interfaces
BOUNDARY compatible · no region transition

Explorematrix context · physics checks · steps · route evidence · constituent evidence · cite

Matrix context

D = disequilibrium row · C = coupling family column. A cell reads the state of the atlas for that pair.

D.20 × C.27 · Nuclear binding-energy difference × Nuclear heatfamily: Nuclear heat

Typed bounds on this route

Every limit the atlas holds for this route, as constraint records: reached through bounded_by claims on the route's own entities. Hard bounds (an upper bound or a formula) decide the thermodynamic-bound check above; benchmarks, constitutive relations and resource limits are listed and never decisive. No prose limit exists anywhere (pass 42).

  • Carnot limit · formula-bound · hard, filtered out by its applicability
    η ≤ 1 − T_c/T_h for any heat engine between reservoirs at T_h and T_c

Steps

  1. 01
    nuclear → nuclear
    radioisotope required
    refs [1]
  2. 02
    nuclear → nuclear
    • beta emitters such as tritium, Ni-63, Pm-147, Sr-90
    refs [1]
  3. 03
    nuclear → thermal
    • beta particles stopped within the source and its cladding; in practice RTG heat comes from alpha emitters (see the alpha claim)
    radioisotope required
    refs [1]
  4. 04
    thermal → thermal
    refs [1]
  5. 05
    thermal → thermal
    q = −κ · ∇T · thermal conductivity κ [W/(m K)]
    refs [2]
  6. 06
    Heat conduction —produces→ Heat flowestablishedclaim record
    thermal → thermal
    refs [2]
  7. 07
    Heat flow —converts into→ Useful heatestablishedclaim record
    thermal → thermal
    • heat delivered at a temperature above the point of use
    refs [2]

Evidence for the complete composition · 0

No source on record for this exact composition. The sources below support the individual steps, not the route as a whole.

Evidence for the constituent relations · 2

  1. [1]
    M. A. Prelas, et al.. A review of nuclear batteries (2014)
    Progress in Nuclear Energy 75, 117–148 · doi:10.1016/j.pnucene.2014.04.007 · crossref ✓ 2026-09-19 · record
  2. [2]
    A. Bejan. Advanced Engineering Thermodynamics (4th ed.) (2016)
    Wiley · doi:10.1002/9781119245964 · crossref ✓ 2026-09-19 · record

Cite this route

Physical Transformation Atlas (2026). route p-0947445de9: Nuclear binding-energy difference → Radioactive decay → Beta particles → Radioisotope heating → Temperature gradient → Heat conduction → Heat flow → Useful heat. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/path/0947445de9

Ids and matrix addresses are stable across revisions; the revision hash identifies the exact canonical files the record was compiled from and is meta.data_hash in every /api export. Reuse terms: see the license field in any export.