The quantum theory of hard shape collisions has been applied to atom-s
ymmetric top collisions, with particular reference to He-NH3. The hard
shape radius function has been expressed by an expansion in angular f
unctions and key cross section ratios have been calculated as function
s of the coefficients of the leading terms. A hard shape function for
He-NH3 has been derived by optimising cross sections to previous calcu
lations by Billing et al.; reported to be broadly in line with experim
ental measurements of relative cross sections by Schleipen et al. Ener
gy and angular momentum propensity rules have been examined for the cr
oss sections sigma11 --> j'k' and sigma41 --> j'k'. An exponential ene
rgy gap propensity rule is satisfactory but with different parameters
for different \DELTAk\. However, the cross section sigma11 --> 44 is u
nexpectedly large; it appears that transitions are favored in which th
e magnitude of the total angular momentum is changed but not its direc
tion.