  The mean square atomic displacement in hcp-phase solid He-4 has been measured
in crystals with a molar volume of 21.3 cm^3. It is temperature independent
from 1 K to 140 mK, with no evidence for an anomaly in the vicinity of the
proposed supersolid transition. The mean square displacement is different for
in-plane motions (0.122 +/- 0.001 A^(2)) and out-of-plane motions (0.150 +/-
0.001 A ^(2)).
