The intershell spacing of multi-walled carbon nanotubes was determined
by analyzing the high resolution transmission electron microscopy ima
ges of these nanotubes. For the nanotubes that were studied, the inter
shell spacing (d) over cap(002) is found to range from 0.34 to 0.39 nm
, increasing with decreasing tube diameter. A model based on the resul
ts from real space image analysis is used to explain the variation in
intershell spacings obtained from reciprocal space periodicity analysi
s. The increase in intershell spacing with decreased nanotube diameter
is attributed to the high curvature, resulting in an increased repuls
ive force, associated with the decreased diameter of the nanotube shel
ls.