Line-width measurements of the coronal ion Si VIII confirm earlier obs
ervations which show an increase in the non-thermal velocity above the
solar limb. The present data, taken at the equatorial limb, show an i
ncrease from 24 km s(-1) at the limb to 28 km s(-1) some 25 000 km abo
ve the limb. The electron density as measured from the Si VIII line pa
ir shows a decrease from 3.5 x 10(8) cm(-3) to 1.8 x 10(8) cm(-3) over
the same distance. These data imply that the non-thermal velocity is
inversely proportional to the quadratic root of the electron density,
in excellent agreement with that predicted for undamped radially propa
gating Alfven waves.