RuukkilabraUpper secondary physics

Pinches, lasers and other paths to fusion

Why have fusion researchers built so many different kinds of machines instead of agreeing on one?

Prior knowledge

  • A magnetic field holds charged particles across field lines but not along them, so a straight field has open endschapter Charged particles and magnetic confinement
  • Lawson's triple product: density, temperature and confinement time are all neededchapter Plasma: the fourth state of matter

Core path: follow the steps in order. Tasks marked Optional give extra practice. Optional tasks: 2.

Think about it

Since the 1950s, fusion researchers have tried long straight tubes, rings of every shape, giant lasers and machines that crush plasma with pistons. In December 2022 news around the world announced a fusion breakthrough at a laser laboratory in California. Today private companies promise fusion electricity within a few years, while the large public project ITER plans its first deuterium–tritium experiments for 2039.

With so many paths and so many promises, how can you tell which ones are closest to working?

Review: open ends

In the unit Charged particles and magnetic confinement you saw a proton in a straight magnetic field. What happens to a particle that has some velocity along the field lines?

Predict

Make your predictions before investigating 2 questions

Prediction 1: a current through a plasma

A very large electric current is sent along a column of plasma in a straight tube. Every current is surrounded by its own magnetic field. What does this field do to the plasma column?

Prediction 2: the 2022 breakthrough

On 5 December 2022, the lasers of the National Ignition Facility delivered $2.05\ \text{MJ}$ of light to a tiny fuel target, and the target released $3.15\ \text{MJ}$ of fusion energy.Did the facility as a whole produce more energy than it used?

Investigate

Investigation 1: NIF's ignition shots

Statistical data · Lawrence Livermore National Laboratory, Achieving fusion ignition (lmf.llnl.gov), read 2026-11-01. Selected shots; energies as published by LLNL (to one decimal for 2024, and the fusion energy of that shot only estimated).

Date Laser energy on target (MJ) Fusion energy (MJ)
5 Dec 2022 $2.05$ $3.15$
30 Jul 2023 $2.05$ $3.88$
12 Feb 2024 $2.2$ about $5.2$ (estimate)
23 Feb 2025 $2.05$ $5.0$
7 Apr 2025 $2.08$ $8.6$

The target gain is the fusion energy divided by the laser energy on target: $G = E_\text{fusion} : E_\text{laser}$.

Calculate the target gain $G$ of the record shot on 7 April 2025.

Hint 1: a guiding question

Divide the fusion energy by the laser energy of the same row.

Hint 2: what is the connection

$G = 8.6\ \text{MJ} : 2.08\ \text{MJ}$

Show the solution

Given

$E_\text{fusion} = 8.6\ \text{MJ}$, $E_\text{laser} = 2.08\ \text{MJ}$ (7 April 2025)

Asked

the target gain $G$

Principle

The target gain compares the fusion energy released with the laser energy that reached the target.

Formula

$$G = \frac{E_\text{fusion}}{E_\text{laser}}$$

Unit conversions

None: both energies are in megajoules, and the units cancel.

Substitution

$$G = \frac{8.6\ \text{MJ}}{2.08\ \text{MJ}} = 4.13$$

Answer

$G \approx 4.1$

LLNL reports $4.13$; the fusion energy $8.6\ \text{MJ}$ has two significant figures, and it has an uncertainty of about $\pm 0.45\ \text{MJ}$.

Reasonableness

The table shows the fusion energy growing from $3.15$ to $8.6\ \text{MJ}$ with almost the same laser energy, so the gain grew from about $1.5$ to about $4$. The laser energy is still only a small part of the electricity the facility uses.

Investigation 2: result, plan or claim?

Scientists, governments and companies all make statements about fusion. A measured result has already happened and been reported with data. A public plan is a goal of a public project or government. A company claim is a target that a company sets for itself. Sort the statements (all checked on 1 November 2026).

Word bank

a measured result · a plan · a claim · evidence · a target · to announce · to promise · to confirm · independent · reliable

Sentence starters

  • This is a result, because …
  • This is only a claim, because …
  • The evidence for this comes from …
  • Before I believe this, I would want to know …
  • I agree / I disagree, because …

Discuss: why does the difference matter?

Discuss with a partner, then write three sentences. Choose one measured result and one company claim from the sorting task. What makes the first one evidence? What would you need to see before you believed the second one?

Theory summary

Pinches: squeezing plasma with its own current

The earliest fusion machines of the 1950s were pinches. In a Z-pinch a large current flows along a column of plasma. The circular magnetic field of this current pushes the current-carrying plasma inward: parallel currents attract, so all the small currents in the column pull together. The column is squeezed, or pinched, and heats up.

$\text{Z-pinch}$
$I$
$\overline{B}$
$\overline{F}$
$\text{theta-pinch}$
$I\ \text{around the tube}$
$\overline{B}$

In a theta-pinch a coil around the tube carries a fast-rising current. Its magnetic field runs along the tube and squeezes the plasma from all sides.

Pinches compress plasma well but hold it badly. A Z-pinch column is unstable: it wriggles into kinks and pinches off into sausages. In 1958 the British machine ZETA reported neutrons, but they came from these instabilities, not from thermonuclear fusion. The theta-pinch Scylla I at Los Alamos made real thermonuclear fusion in 1958, but its plasma escaped through the open ends of the tube.

Inertial confinement: a very fast squeeze

Inertial confinement fusion uses no magnetic field at all. A tiny capsule of frozen deuterium and tritium is squeezed so fast that it fuses before it can fly apart: only its own inertia holds it together, for less than a billionth of a second.

$\text{1. lasers}$
$\text{2. X-rays}$
$\text{3. implosion}$
$\text{4. ignition}$
$\text{a few billionths of a second}$

At the National Ignition Facility (NIF) in California, 192 laser beams shine into a centimetre-sized gold cylinder, the hohlraum. Its hot walls fill it with X-rays, which boil off the outer layer of a peppercorn-sized capsule. Like a rocket, this drives the rest of the capsule inward.

Colour photograph looking into the spherical target chamber of the National Ignition Facility: a blue-lit inner wall of panels and ports, with a pointed instrument reaching towards the centre.
Inside the target chamber of the National Ignition Facility in California. In December 2022 its 192 lasers achieved fusion ignition for the first time. Photo: Lawrence Livermore National Security, CC BY-SA 3.0, via Wikimedia Commons

On 5 December 2022 NIF's lasers delivered $2.05\ \text{MJ}$ to a target, and the target released $3.15\ \text{MJ}$ of fusion energy. For the first time, a fusion experiment released more energy than the laser energy delivered to its target: the target gain was about $1.5$. By mid-2026 NIF had reached ignition eleven times in all, with target gains up to about $4$.

$0$
$100$
$200$
$300$
$E\ (\text{MJ})$
$\text{electricity}$
$\approx 300\ \text{MJ}$
$\text{laser on target}$
$2.05\ \text{MJ}$
$\text{fusion energy}$
$3.15\ \text{MJ}$

What it does not mean: making the $2.05\ \text{MJ}$ laser pulse took about $300\ \text{MJ}$ of electricity, about a hundred times the fusion energy. In 2014 NIF fired about one shot every two days, and most of its shots are not ignition attempts, while a power plant would need several shots every second, each with a cheap target. It is a scientific milestone, not a power plant.

Spherical tokamaks and stronger magnets

A tokamak is a ring of plasma, and its aspect ratio is the major radius $R$ divided by the minor radius $a$. ITER has $R : a = 6.2\ \text{m} : 2.0\ \text{m} \approx 3$. A spherical tokamak has an aspect ratio below 2, which makes it look like a cored apple rather than a doughnut.

$R$
$a$
$\text{conventional}$
$R$
$a$
$\text{spherical}$

In 1991 the small START machine at Culham, England, showed that this shape can hold a high plasma pressure for a given magnetic field; its successor MAST Upgrade started in 2020. The weak point is the narrow central column, with little room for coils and for shielding against neutrons. The UK's STEP programme plans a prototype spherical tokamak power plant by 2040.

High-temperature superconductors (HTS) stay superconducting at about $20\ \text{K}$ in very strong fields; ITER's magnets use older superconductors at about $4\ \text{K}$. On 5 September 2021, a large HTS magnet built by MIT and the company Commonwealth Fusion Systems reached $20\ \text{T}$. A stronger field can hold the plasma in a much smaller machine.

Private concepts: read the claims carefully

Many private companies now work on fusion. Some examples, with what they claim:

  • Commonwealth Fusion Systems (USA) is building SPARC, a compact HTS tokamak, and plans its first plasma around 2027, hoping for a gain above one.
  • Helion (USA) compresses rings of plasma in short pulses. In 2023 it agreed to sell electricity to Microsoft from 2028.
  • General Fusion (Canada) wants to compress plasma inside a liquid-metal wall driven by pistons; in 2025 it cut a quarter of its staff because of a funding gap.

These dates are the companies' own targets, and many earlier targets in fusion have slipped. As of November 2026, no fusion device, public or private, has produced net electricity.

Key idea

Every path to fusion trades one difficulty for another. Pinches compress plasma easily but are unstable. Lasers reach ignition but need far more efficient drivers and many cheap targets every second. Compact tokamaks with strong magnets save size but face heat, neutrons and stresses in a smaller space. That is why many concepts are still tried.

Words of the lesson

Back to your predictions

Compare your two predictions with the theory. Then answer the opening question in one or two sentences: why have researchers built so many different kinds of fusion machines?

    Would you change your prediction?

    Apply

    Worked example

    Problem

    Use the NIF shot of 5 December 2022: laser energy on target $2.05\ \text{MJ}$, fusion energy $3.15\ \text{MJ}$, and about $300\ \text{MJ}$ of electricity drawn to fire the lasers. Calculate the target gain $G$ and the ratio of the fusion energy to the electricity drawn.

    Step 1/7

    Given: $E_\text{laser} = 2.05\ \text{MJ}$, $E_\text{fusion} = 3.15\ \text{MJ}$, $E_\text{el} \approx 300\ \text{MJ}$. Asked: the target gain $G$ and the ratio $E_\text{fusion} : E_\text{el}$.

    Step 2/7

    Principle: A gain compares the energy out with an energy in. The target gain uses the laser energy that reaches the target; the whole facility's balance uses the electricity that the lasers take from the grid.

    Step 3/7

    Formula: $$\begin{aligned} G &= \frac{E_\text{fusion}}{E_\text{laser}} \\[6pt] \text{ratio} &= \frac{E_\text{fusion}}{E_\text{el}} \end{aligned}$$

    Step 4/7

    Unit conversions: None: all energies are in megajoules, and the units cancel in each ratio.

    Step 5/7

    Substitution: $$\begin{aligned} G &= \frac{3.15\ \text{MJ}}{2.05\ \text{MJ}} = 1.54 \\[6pt] \text{ratio} &= \frac{3.15\ \text{MJ}}{300\ \text{MJ}} = 0.0105 \end{aligned}$$

    Step 6/7

    Answer: The target gain was $G \approx 1.5$, but the fusion energy was only about $1\ \%$ of the electricity drawn. The gain has two significant figures; the electricity is known only roughly ("about $300\ \text{MJ}$"), so the second result is given as about one per cent.

    Step 7/7

    Reasonableness: $G > 1$ agrees with the claim that the target gave out more than it received. A ratio far below one agrees with the lasers' low efficiency: only about $2.05\ \text{MJ} : 300\ \text{MJ} \approx 0.7\ \%$ of the electricity reaches the target as laser light.

    Apply: what gain would be needed?

    Suppose that for the record shot of 7 April 2025 the lasers again drew about $300\ \text{MJ}$ of electricity to deliver $2.08\ \text{MJ}$ to the target.

    What target gain $G$ would a shot need so that its fusion energy at least equals the electricity drawn?

    Hint 1: a guiding question

    The fusion energy must be $300\ \text{MJ}$. What is $G$ then?

    Hint 2: what is the connection

    $G = E_\text{fusion} : E_\text{laser}$ with $E_\text{fusion} = 300\ \text{MJ}$ and $E_\text{laser} = 2.08\ \text{MJ}$.

    Show the solution

    Given

    $E_\text{el} \approx 300\ \text{MJ}$, $E_\text{laser} = 2.08\ \text{MJ}$; the fusion energy must equal the electricity, $E_\text{fusion} = E_\text{el}$

    Asked

    the target gain $G$ needed

    Principle

    The target gain is $E_\text{fusion} : E_\text{laser}$. Setting $E_\text{fusion}$ equal to the electricity gives the gain at which the shot would just pay back the electricity, before any losses in making electricity.

    Formula

    $$G = \frac{E_\text{fusion}}{E_\text{laser}} = \frac{E_\text{el}}{E_\text{laser}}$$

    Unit conversions

    None: both energies are in megajoules.

    Substitution

    $$G = \frac{300\ \text{MJ}}{2.08\ \text{MJ}} = 144$$

    Answer

    A target gain of about $140$ would be needed, about $35$ times the record $4.13$. The electricity is known only as "about $300\ \text{MJ}$", so two significant figures are enough.

    Reasonableness

    Lasers that turn under $1\ \%$ of their electricity into light on target need a gain of over a hundred just to break even. A power plant needs even more, because turning fusion heat into electricity loses more than half of it. This is why laser-fusion plants would need much more efficient lasers and targets with very high gain.

    Optional Compare: each path and its main problem
    Optional Find the error
    A news text says: “The target gain of $1.5$ means that the National Ignition Facility now produces $50\ \%$ more energy than it uses, so laser fusion power plants can be built.” What is the main error?

    Common misconception

    "Ignition at NIF means that laser fusion power is ready." In LLNL's working definition, ignition means more fusion energy than the laser energy delivered to the target, $G > 1$; physically, it means that the fusion alpha particles heat the fuel faster than it loses heat. A power plant must also cover the electricity of the whole plant, turn heat into electricity (losing more than half), fire many times a second and breed its own tritium. The same caution holds for a magnetic machine's gain $Q$: plasma gain is not electricity.

    Check your understanding

    1. Concept: two pinches

    How do a Z-pinch and a theta-pinch differ?

    Suggestion: one answer does not show everything you can do, but review the theory summary.

    2. Inertial confinement

    In inertial confinement fusion, what keeps the hot, compressed fuel together long enough to fuse?

    Suggestion: one answer does not show everything you can do, but review the theory summary.

    3. Evaluate a statement

    Which of these statements about fusion is an established, measured result (as of November 2026)?

    Suggestion: one answer does not show everything you can do, but review the theory summary.

    Sentence starters

    • I would fund … because …
    • One advantage of … is that …
    • A limitation of this technology is …
    • On the other hand, …
    • The evidence so far shows …, but … is only a claim.

    4. Argue: which path would you fund?

    You advise a research council with money for one fusion concept from this unit (a pinch, laser inertial fusion, a spherical tokamak or a compact HTS tokamak). Write four or five sentences: name your choice, give one advantage and one limitation, and separate what has been shown from what is only planned or claimed.

    Summary

    • Z-pinch: current along the plasma, circular field, inward squeeze; theta-pinch: current around the tube, field along it. Both compress plasma but suffer from instabilities or end losses; ZETA's 1958 neutrons were not thermonuclear.
    • Inertial confinement squeezes a tiny capsule so fast that inertia holds it. NIF reached a target gain above one on 5 December 2022 ($3.15\ \text{MJ}$ from $2.05\ \text{MJ}$) and $4.13$ in April 2025, but the facility draws far more electricity than the fusion energy.
    • Spherical tokamaks have a low aspect ratio and hold high pressure for a given field, but their central column is crowded. HTS magnets give stronger fields and smaller machines.
    • Private concepts carry claims and plans, not results; as of November 2026 no fusion device has produced net electricity.

    Le coin français

    Ignition at NIF made headlines in France too: l'allumage is ignition, and the target is la cible. France has its own large laser facility for this kind of research, le Laser Mégajoule, near Bordeaux. Listen, repeat, and then say the last sentence to your partner. In the hints, capitals show the stressed syllable, and õ, ã and ẽ are nasal vowels: the air goes through the nose and no n is heard.

    Photographs and videos