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184     Fundamentals of Magnetic Thermonuclear Reactor Design


            6.3  PLASMA IMPACT ON THE FIRST WALL
            There are numerous plasma-related physical and chemical processes responsi-
            ble for impurity transport into the plasma. They include wall physical sputtering
            by α-particles, hydrogen and impurity ions; chemical sputtering; evaporation
            and sublimation; material erosion due to plasma current disruption, unipolar
            microarcs and ‘runaway’ electrons; surface mechanical destruction as a result of
            blistering; as well as a photo-, electron- or ion-driven gas emission [9].
               Surface sputtering by incident atoms and ions is described by several param-
            eters. The first one is the sputtering coefficient, ρ, the number of sputtered atoms
            per ion incident on the target, depending on ion energy, angle of ion incidence
            and surface temperature. The sputtering coefficient characterises the ‘particle-
            surface’ pair and is also dependent on the surface condition [10].
               In the T ≤ 0.7 T  range of temperatures (where T  is the melting tempera-
                            m
                                                       m
            ture), the sputtering coefficient of a metal is T-independent, but grows expo-
            nentially  with  increasing  temperature  at  higher  temperatures.  In  the  case  of
                                          2
 ρ≈ln1/E 2  self-sputtered metals, ρ ≈ Eln[(1/ E)] . If the incidence of medium or heavy ions
            is normal to the surface, the angular distribution of sputtered atoms is close to
            cosinal. The scattering indicatrix of light ions is clearly deformed and elongated
            normally to the surface. The majority of particles sputter at a velocity of 1 to
            5 km/s. The sputtering velocity distribution curve has a peak near 2 km/s [11].
               Graphite and graphite-containing composites exposed to hydrogen ion bom-
            bardment show a peculiar sputtering pattern. Sputtering intensity grows sharply
            in temperature range 1000–1300 K, and is accompanied by an increase in vola-
            tile hydrocarbon content in the residual gas spectrum. This increase is said to
            be due to acceleration of the carbon–hydrogen reactions producing the C H
                                                                           n
                                                                        m
            compounds (the chemical sputtering). At higher temperatures, a thermal disso-
            ciation of such compounds (a phenomenon referred to as a ‘carbon catastrophe’
            in the fusion community) prevails.
               Hypothetically, a layer sputtered as a result of a graphite wall interaction
                               7
            with plasma during ∼10  s of reactor operation may be a few tens of millimetres
            (!) thick. As one can see, not only the impurities affecting plasma performance,
            but also the FW integrity is a problem that needs to be tackled. These issues are
            discussed in more detail in Sections  7.2.3 and 7.3.3.
               Blistering may contribute a lot to the mechanical destruction of the wall and
            the formation of impurities. This phenomenon is associated with the behav-
            iour of He implanted in the material. He solubility and diffusivity in metals
            are very low, and the He atoms’ most favourable lattice positions, in terms of
            energy minimisation, are those between the nodes. Atomic migration may only
            be caused by the movement of neighbouring vacancies, but at a high accumula-
            tion rate, the flow of new vacancies may be insufficient for He transfer through
            the vacancy mechanism. As a result, He bubbles originate in the metal, at a
            depth where α-particles travel. They tend to migrate and merge into each other
            under a mechanical stress field surrounding them. The in-bubble pressure may
            be up to 1 GPa. When the bubbles reach the surface, they either cause swelling
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