The interaction between an external probe particle and host lattice is
described by a screened Coulomb potential which gets modified due to
the presence of impurities in the lattice. A double screened potential
was earlier derived and we extend the formulation to include higher o
rder terms in the dielectric function epsilon(q) which defines the scr
eening parameters of this potential. The weakly decaying nature of the
potential thus derived manifests itself in dechanneling process and s
cattering cross-section. It will also be evident from this formulation
that the conduction electrons of the host lattice play an important r
ole in the interaction between the probe particle and impurities. Dech
anneling cross-sections are modified for various charge states of impu
rity in different planar directions when we consider the effect of bot
h atomic electrons of the impurity and conduction electrons of the hos
t lattice. The results for alpha-particle dechanneling in palladium (b
y C or H impurities) and for muon dechanneling by oxygen in tantalum a
re compared with earlier calculations and available experimental resul
ts.