The high frequency dynamics of low-density (LDA) and high-density (HDA) amo
rphous ice and of cubic ice (I,) has been measured by inelastic x-ray scatt
ering in the 1-15 nm(-1) momentum transfer (Q) range. Sharp phononlike exci
tations are observed, and the longitudinal acoustic branch is identified up
to Q = 8 nm(-1) in LDA and I-c and up to 5 nm(-1) in HDA. The narrow width
of these excitations is in sharp contrast to the broad features observed i
n all amorphous systems studied so far. The "crystal-like" behavior of amor
phous ices, therefore, implies a considerable reduction in the number of de
cay channels available to soundlike excitations which is interpreted as a s
ign of low local disorder.