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Glossary

X-Point

The magnetic null where poloidal-field lines cross in an ‘X’ pattern, defining the separatrix and steering exhaust heat toward the divertor.

Reviewed Last reviewed: 9 Aug 2026 · Category: Glossary

Anatomy of a Magnetic Null

In a diverted tokamak, the poloidal magnetic field does not simply wrap around the plasma in concentric loops. One or more external divertor coils create a region where the poloidal field passes through zero—a magnetic null. At that point the field lines form a characteristic ‘X’ pattern, giving the feature its name. The flux surface that passes through the X-point is the separatrix: everything inside is confined plasma; everything outside is the scrape-off layer (SOL), where field lines connect to material surfaces.1

Single-Null and Double-Null Configurations

The simplest diverted geometry has a single X-point, usually at the bottom of the vessel, creating a single-null (SN) configuration. Plasma exhaust flows along the SOL, follows the open field lines through the X-point region, and strikes the divertor target plates below. A double-null (DN) configuration places a second X-point at the top, splitting exhaust between upper and lower divertors and roughly halving the heat load on each target—an advantage that comes at the cost of more complex coil control and sensitivity to small vertical displacements.2

The X-point is not merely a geometric curiosity. Its position controls where exhaust particles strike material surfaces, how effectively the divertor can radiate power, and whether the plasma edge can access advanced confinement regimes.

X-Point Physics

Because the poloidal field vanishes at the X-point, the connection length—the distance a field line travels before hitting a wall—diverges logarithmically there. This long connection length allows cross-field transport to spread the exhaust over a wider area, partially relieving the intense heat-flux problem that threatens divertor materials.3

The X-point also plays a starring role in edge stability. In H-mode plasmas, type-I ELMs launch filaments of hot plasma that follow field lines through the X-point region into the divertor. The geometry of the X-point influences the ELM footprint and the resulting transient heat loads on target plates. Advanced configurations such as the snowflake divertor deliberately bring two X-points close together, further expanding the flux near the null and spreading the exhaust over a larger wetted area.4

Practical Importance

Accurate real-time knowledge of the X-point position is essential for machine protection. If the X-point drifts too far, the strike point can move off the divertor tiles and onto unprotected first-wall surfaces, risking damage. Magnetic equilibrium reconstruction codes such as EFIT solve for the X-point location on a millisecond timescale, feeding the plasma control system that adjusts the divertor coil currents to hold it in place.

Sources

  1. Pitcher, C. S. and Stangeby, P. C., 'Experimental divertor physics,' Plasma Physics and Controlled Fusion 39 (1997) 779.
  2. Ryutov, D. D., 'Geometrical properties of a snowflake divertor,' Physics of Plasmas 14 (2007) 064502.
  3. Loarte, A. et al., 'Characteristics of type I ELM energy and particle losses,' Plasma Physics and Controlled Fusion 45 (2003) 1549.
  4. Lao, L. L. et al., 'Reconstruction of current profile parameters and plasma shapes in tokamaks,' Nuclear Fusion 25 (1985) 1611.

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