Attachment of mobile particles to non-saturable traps

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Abstract
A theory is presented describing the diffusion and trapping of particles near a surface. The starting depth distribution of the injected particles and the depth distribution of the traps are assumed to depend on the dimension normal to the surface. The traps are nonsaturable and their filling is calculated as a function of the dose of injected particles. Both the fraction f of the injected particles trapped and the fraction n i of the traps that have captured i injected particles are calculated for different distributions of traps and injection distributions of the particles. It is shown that under certain conditions, measurement of f and n i yields the number of traps and the product of their trapping radius and average injection depth of the particles. The theory is applied to helium thermal desorption experiments in a companion paper.