Alpha-decay half-life of even-even emitters has been calculated in terms of
tunnelling through a quantum mechanical potential barrier. A multipolar ex
pansion of Coulomb potential has been developed taking into account the nuc
lear quadrupole, hexadecapole, and hexacontatetrapole deformations. We show
that using a free-parameter model the calculated half-lives do not vary si
gnificantly with higher order multipolarities of the daughter nucleus defor
mation.