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206     Fundamentals of Magnetic Thermonuclear Reactor Design


            is the ability to ‘absorb’ incident molecules with a probability equal to the cap-
            ture coefficient of the substituted sorbent, and that attributed with respect to the
            sorbent itself is the ability to ‘absorb’ molecules hitting the sorbent from inside
            with a unitary probability.
               Equivalent surfaces are also attributed the ability to ‘emit’ molecular flows
            that are divided, according to whether they are treated with respect to the cham-
            ber or the sorbent, into a flow identical to one coming out of the substituted
            sorbent, and a flow identical to that coming to the surface from the chamber.
               Generally, the equivalent surface is a virtual surface at the interface of two
            regions of a system under design, which is attributed different characteristic
            functions depending on the region it is assigned to. This approach allows one
            to deal with a system’s simplified simulation (containing actual functional ele-
            ments and a number of equivalent surfaces) rather than an actual system at the
            first stage of the design process. Then, the model’s molecular characteristics are
            determined and compared with initial ones, taken to be used when establishing
            equivalent surfaces. If there are significant differences between the two, the
            flows in the substitutes are analysed prior to the second iteration step. Iteration
            proceeds until the prescribed convergence between the calculated and experi-
            mental molecular flow densities is reached. This method enables an optimisa-
            tion design of a VS of a virtually infinite structural and geometrical complexity.
               To estimate the gas-kinetic conductance of a vacuum line with a discretely
            varying profile, we take structures containing ‘elemental’ channels connected in
            series with tabulated conductance values, as well as intermediate chambers with
            axial length decreasing towards zero as a limit state design.
               Let us now discuss the principles and methods of a comprehensive energy
            performance and structure/parameter optimisation of surface-action pumps,
            which are the most important means of ensuring the required vacuum param-
            eters and efficient operation of an MFR high-vacuum system. These principles
            and methods are based on the concept of active centres.
               The term ‘active centre’ refers to a micro-region on a sorbing surface that
            is accessible to incident gas molecules. The interaction between incident mol-
            ecules and active centres, which results in the ‘neutralisation’ of the latter, is
            described by the statistically determinate parameters η (the probability of irre-
            versible absorption by the active centre of a molecule that has entered its field
            of force), and ϑ (the probability of any molecule to reach this field of force).
               The concept of active centres as a generalised model of a molecule-sorb-
            ing surface interaction has straightforward physical analogies (Table  6.7).
            Cryogenic pumps’ active centres exist as long as the required temperature of
            the absorbing surface is maintained by means of a cryogenerator. In adsorption,
            chemisorption and implantation pumps’ active centres are formed naturally or
            artificially before pumping begins and are ‘spent’ (neutralised) during pumping
            at a rate proportional to the incident molecular flux.
               In pumps using continuously regenerated getter films, the flow of active cen-
            tres is reproduced by a vaporiser (atomiser) [16]. Thus, a pump or some other
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