Three independent theoretical studies of the multilayer relaxation on a Cu{
331} surface had reported a sequence of layer contractions and expansions d
ifferent from that expected and found on other stepped surfaces of metals w
ith three atom rows per terrace. A quantitative low-energy electron diffrac
tion analysis of Cu{331} finds a 13.8% contraction of the first interlayer
spacing with respect to the bulk value (0.829 Angstrom), in fair agreement
with the theoretical results, and very small relaxations of the deeper inte
rlayer spacings. The signs of these relaxations do not reproduce exactly th
e theoretical predictions, but their small magnitudes allow the conclusion
that the present experiment agrees with the earlier theories within the exp
erimental error bars.