The trend towards shallow junctions and high doping levels in present
and future submicrometre semiconductor devices means that diffusion mo
dels, based on the assumption that dopant mobility is due entirely to
the motion of single dopant atoms embedded in a semiconductor matrix,
can no longer describe adequately the complex features which appear in
measured profiles [1, 2]. These 'anomalous' profile shapes have been
attributed to many different effects, including spatial distributions
of point defects and dopant clustering [3]. In this work we examine th
e purely statistical effects which arise from the most general feature
s of clustering, precipitation and diffusion of dopants during ion imp
lantation and high-temperature annealing, and the implications that th
ese have for dopant distribution.