Lecture 01 · Plasma Physics

FUSION a star, in a bottle

13 SLIDES · THE SCIENCE · THE PROJECTS · THE TIMELINE

02The basic reaction

Pressed close enough together, light nuclei fuse — the strong force snaps them into a heavier nucleus, and the mass deficit becomes kinetic energy. The easiest reaction we know:

D + T ⁴He (3.5 MeV) + n (14.1 MeV) + 17.6 MeV

Deuterium

¹H + 1n   ·   abundant in seawater, ~33 g/m³

Tritium

¹H + 2n   ·   radioactive, t½ ≈ 12.3 yr · must be bred

Energy

17.6 MeV per fusion · ~4×10⁸ J / g of fuel

For comparison: 1 g of D-T fuel ≈ 8 tonnes of oil equivalent.

D + T ⁴He + n + E

03Why it’s hard

Two positive nuclei repel via the Coulomb force. To get them close enough for the strong force to take over, you have to fling them at each other — thermally.

Plasma temperature
108 K

More than 6× hotter than the core of the Sun. The Sun cheats by being absurdly massive (gravity does the confining); we don’t have that option.

Lawson’s triple product
n · T · τ 3×10²¹

density × temperature × confinement time
(keV · s · m⁻³)

You can trade among the three. Tokamaks run hot & long; inertial schemes run hot & dense for nanoseconds.

No solid material survives contact with a 100-million-degree plasma. The plasma must be held away from every wall — by magnetic fields, by inertia, or both.

04Fission ≠ fusion

They are different reactions with very different consequences. The marketing conflation costs fusion politically.

FissionFusion
Reaction²³⁵U + n → fragmentsD + T → ⁴He + n
Fueluranium / plutoniumhydrogen isotopes
Energy / kg fuel~8×10¹³ J~3.4×10¹⁴ J
Long-lived waste10⁵-yr actinidesnone from the reaction itself
Runaway riskchain reaction; needs controlplasma quenches if disturbed
Weaponizable byproductplutoniumtritium (limited; not a bomb fuel)

Fusion does produce activated structural materials from neutron flux — a real engineering problem, but on decade half-lives, not millennia.

05Magnetic confinement · tokamaks

Charged particles spiral along magnetic field lines. Bend the lines into a closed torus and the plasma stays trapped — in principle, forever.

  • Toroidal field — coils ring the donut, the dominant field.
  • Poloidal field — induced by plasma current itself, prevents drift.
  • ITER (France, first plasma slipped to ~2034) is a ~6.2 m major-radius tokamak built by 35 nations. Goal: Q ≥ 10.

The word tokamak is Russian shorthand for “toroidal chamber with magnetic coils.”

TOKAMAK · CROSS-SECTION

06Inertial confinement · lasers

Don’t hold the plasma — crush it. A peppercorn-sized capsule of D-T is hit symmetrically by a converging shock; for a few hundred picoseconds the fuel is denser than lead and hotter than the Sun’s core. By the time it blows apart, the reaction has run.

NIF · Lawrence Livermore

December 5, 2022

192 lasers delivered 2.05 MJ to a capsule. The fusion reaction released 3.15 MJ. First net energy gain in a controlled fusion experiment in human history.

target gain   Q = 1.54

The pellet

~2 mm diameter, frozen D-T layer inside a diamond shell, suspended in a gold cylinder (hohlraum) that converts laser light to a uniform X-ray bath.

A working power plant would need to do this ~10 times per second, every second, for years. NIF currently fires a few shots a day.

07The private wave

For 60 years fusion meant national labs and ITER. Since ~2018, $7+ billion of private capital has flowed into ~40 startups, each betting on a different shortcut.

Commonwealth Fusion · SPARC

MIT spinout. Compact tokamak using high-temperature superconducting (HTS) tape. Targets Q > 2 in 2027. Sited in Devens, MA.

Helion

Pulsed field-reversed configuration. Burns D-³He. Direct electric conversion (no steam). Microsoft signed a 50 MW PPA for 2028 — aggressive.

TAE Technologies

Aneutronic p-¹¹B fuel. Hardest fuel cycle (needs ~10⁹ K) but cleanest output. Backed by Google.

General Fusion

Magnetized target fusion: pistons crash a liquid lithium liner around a plasma. Building demo in Oxford, UK.

Tokamak Energy

UK firm. Compact spherical tokamaks + HTS magnets. Reached 100 M K in ST40 (2022).

The bet

That faster iteration + new magnet tech beats one giant 30-year intergovernmental megaproject. Verdict pending.

08The magnet breakthrough

Tokamak performance scales steeply with magnetic field strength — roughly as B⁴. Doubling B shrinks the machine by ~16× for the same fusion power.

Old: NbTi / Nb₃Sn

~5–6 T · cooled to 4 K with liquid helium · brittle, expensive

New: REBCO HTS tape

20+ T · works at 20 K · thin, robust, manufacturable

Consequence

ITER-class performance in a building you can fit on a campus. This is why SPARC, Tokamak Energy, and others suddenly look credible.

CFS’s 2021 demonstration of a 20 T HTS toroidal-field coil at full scale was the moment serious people stopped dismissing private fusion. It happened. The magnet works.

09What “Q” actually means

Headlines say “NIF achieved net energy.” True — but only in a specific, narrow sense. Three different Qs matter:

WhatDefinitionNIF Dec ’22
Qscientific   (target gain) fusion energy out / laser energy on target 1.54
Qengineering fusion energy out / total wall-plug electricity in ~0.01
Qcommercial net electricity out / wall-plug in, after capture losses ~0

NIF’s lasers drew about 300 MJ from the wall to deposit 2 MJ on target. So to get from a scientific milestone to a power plant we still need ~50–100× more. It is not a small gap. It is a real gap. Both things are true.

10The hard yards to a power plant

Beyond ignition, four engineering problems must be solved simultaneously:

1 · Tritium breeding

World tritium stockpile is ~25 kg. A 1 GW plant burns ~56 kg/year. Plants must breed their own tritium from a lithium blanket struck by fusion neutrons. Required ratio > 1.0; nobody has demonstrated this in a real machine yet.

2 · Materials

14 MeV neutrons embrittle steel and create activation. First-wall tiles facing the plasma erode. New alloys (RAFM steels, tungsten) must survive ~150 dpa of damage over a plant lifetime.

3 · Duty cycle

NIF: a few shots a day. ITER: 400 s pulses, then cool down. A plant needs months of continuous operation. Every component must work for that.

4 · Economics

Even if it works, capital cost per kW must compete with solar+storage and fission. The unit economics are unproven; the regulatory path doesn’t exist yet.

11An honest timeline

The old joke — “fusion is 30 years away, and always will be” — has been roughly right since the 1950s. Here’s where reasonable people now disagree:

2025NOW
2027SPARC Q>2
2030sOPTIMISTS
2034ITER 1ST PLASMA
2040sCONSENSUS
2050+SCALE

Optimists (2030s)

HTS magnets + private capital + iteration. Helion, CFS, Tokamak Energy all guide to a demo plant by ~2030 and pilot grid power by mid-decade.

Consensus (2040s)

ITER scientific results late 2030s → DEMO designs → first commercial plant ~2045. The IAEA roadmap. The boring answer.

Skeptics (never)

Tritium breeding may not close. Materials may not survive 30 years. By then, solar + batteries + advanced fission may have eaten the niche.

12Why it matters

If fusion works at scale, it is the closest thing physics offers to a generic energy abundance:

  • Clean — no CO₂, no long-lived waste, no proliferation pathway.
  • Baseload — runs continuously, independent of weather. Solves the awkward 20% of the grid that solar+storage strains to cover.
  • Sited anywhere — fuel is hydrogen from water. No mining, no pipelines, no geopolitics of supply.
  • Dense — a single GW plant on a few hectares. No square kilometres of panels, no ridge-line wind farms.

Cheap, clean, abundant electricity is the upstream input to nearly every problem we want to solve — desalination, direct air capture, fertiliser, heat for industry, AI compute. It is not a niche fix. It is a civilisation-scale lever, if we can build it.

It is also not guaranteed, not soon, and not a reason to slow anything else down. Build solar. Build fission. Build fusion. All of them.

further reading

Where to keep going

Video — first principles

YouTube · “fusion energy explained”

Kurzgesagt, Real Engineering, Sabine Hossenfelder, and Veritasium all have solid intro tracks.

Video — NIF ignition

YouTube · “NIF ignition breakthrough”

LLNL’s own announcement, plus deep-dives on what gain Q=1.5 actually buys.

Books

  • The Fairy Tale of Nuclear Fusion — L. J. Reinders
  • Sun in a Bottle — Charles Seife
  • The Star Builders — Arthur Turrell

Track the field

  • Fusion Industry Association annual report
  • ITER organization news
  • arXiv physics.plasm-ph

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