Physical Transformation AtlasPTA
Pathway · p-0df797a7e5 · candidate

Nuclear binding-energy difference → Useful heat

Nuclear binding-energy differenceNuclear fusionTemperature gradientThermal emissionPhotonsPhotothermal absorptionHeat flowUseful heat

Epistemic state of the route

known constituent relations
5 / 7 established or replicated · weakest constituent demonstrated
constituent maturity floor
K4 · experimentally observed
search for this exact route
Not assessed — complete composition not searched.
recorded-pathway overlap
shares relations, in order, with Thermophotovoltaic conversion · 2/7 relations shared
route-level evidence
0 sources for the complete composition · 5 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 heatD.20 × C.07 · Nuclear binding-energy difference × Thermophotovoltaicfamily: ThermophotovoltaicD.20 × C.20 · Nuclear binding-energy difference × Photothermalfamily: Photothermal

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
  • Visible-band fraction of thermal emission · formula-bound · hard, filtered out by its applicability
    η_vis ≤ ∫₃₈₀ⁿᵐ⁷⁸⁰ⁿᵐ B_λ(λ, T) dλ / σT⁴ — the share of a thermal emitter's radiated power that Planck's distribution places in the visible band at the emitter temperature
  • Landsberg limit · formula-bound · hard, filtered out by its applicability
    η ≤ 1 − (4/3)(T_c/T_s) + (1/3)(T_c/T_s)⁴ for conversion of blackbody radiation at T_s with a sink at T_c; 93.3 % at 6000 K / 300 K

Steps

  1. 01
    nuclear → kinetic · loss to radiative
    • for a power-producing D–T thermonuclear plasma: ion temperatures of order 10 keV and a sufficient density–confinement product (Lawson); these are power-balance conditions, not prerequisites for an individual fusion reaction
    plasma · above ~700 K
    Fusion reactions and target-level fusion energy release are experimentally demonstrated (target gain > 1 at NIF, 2022–2024); net electrical output from a fusion power plant is not.
    refs [1] [2] [3]
  2. 02
    kinetic → thermal · loss to radiative
    • energetic products (neutrons, alphas) deposit their kinetic energy in a blanket or the plasma, which then runs hotter than its surroundings
    refs [2] [3]
  3. 03
    thermal → radiative
    • an emitter hotter than the surface it faces
    refs [4] [5]
  4. 04
    Thermal emission —produces→ Photonsestablishedclaim record
    radiative → radiative
    refs [5] [4]
  5. 05
    radiative → thermal
    refs [4]
  6. 06
    thermal → thermal
    refs [4]
  7. 07
    Heat flow —converts into→ Useful heatestablishedclaim record
    thermal → thermal
    • heat delivered at a temperature above the point of use
    refs [4]

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 · 5

  1. [1]
    H. A. Bethe. Energy production in stars (1939)
    Physical Review 55, 434 · doi:10.1103/PhysRev.55.434 · crossref ✓ 2026-09-19 · record
  2. [2]
    J. D. Lawson. Some criteria for a power producing thermonuclear reactor (1957)
    Proceedings of the Physical Society B 70, 6–10 · doi:10.1088/0370-1301/70/1/303 · crossref ✓ 2026-09-19 · record
  3. [3]
    H. Abu-Shawareb, et al. (Indirect Drive ICF Collaboration). Achievement of target gain larger than unity in an inertial fusion experiment (2024)
    Physical Review Letters 132, 065102 · doi:10.1103/PhysRevLett.132.065102 · crossref ✓ 2026-09-19 · record
  4. [4]
    A. Bejan. Advanced Engineering Thermodynamics (4th ed.) (2016)
    Wiley · doi:10.1002/9781119245964 · crossref ✓ 2026-09-19 · record
  5. [5]
    P. T. Landsberg, G. Tonge. Thermodynamic energy conversion efficiencies (1980)
    Journal of Applied Physics 51, R1–R20 · doi:10.1063/1.328187 · crossref ✓ 2026-09-19 · record

Cite this route

Physical Transformation Atlas (2026). route p-0df797a7e5: Nuclear binding-energy difference → Nuclear fusion → Temperature gradient → Thermal emission → Photons → Photothermal absorption → Heat flow → Useful heat. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/path/0df797a7e5

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.