We study high signal-to-noise profiles of O Iv emission lines obtained usin
g the SUMER instrument on SOHO. Data for the quiet Sun obtained close to th
e disk center and at the solar limb were acquired. After careful data proce
ssing in which disk data were analyzed differentially against limb data, we
find a systematic correlation between a density-sensitive emission-line ra
tio and Doppler shift across the same emission-line profiles. While unident
ified blended lines cannot be completely discounted, the data suggest that
the effects of such blends are small. Based on theoretical results in an ea
rlier paper, we argue that if wave motions are responsible for the observed
behavior, then the data reveal evidence for compressive waves propagating
downward from the corona to the chromosphere. This analysis naturally lends
support to the dominance of the "nanoflare" mechanism for coronal heating
over other theories that invoke upward wave propagation, but other mechanis
ms capable of generating downward-propagating waves cannot be discounted. I
f, instead, steady flows are the cause of the observed behavior, such as re
turn flows from spicules, then they must be such that the density is higher
in the downflowing plasma. While these particular data do not allow us to
discriminate between waves or steady flows, additional data from SOHO shoul
d be able to address this problem. This work required and achieved very acc
urate wavelength calibrations (better than 1/5 of a pixel on the detectors)
, taking SUMER close to its observational capabilities. We therefore presen
t the elements of the analysis and calibration of SUMER data that may be of
interest to other users.