  We have fabricated longitudinal nanoconstrictions in the charge-density wave
conductor (CDW) NbSe$_{3}$ using a focused ion beam and using a mechanically
controlled break-junction technique. Conductance peaks are observed below the
T$_{P1}$$=145 $K and T$_{P2}$$=59 $K CDW transitions, which correspond closely
with previous values of the full CDW gaps $2\Delta_{1}$ and $2\Delta_{2}$
obtained from photo-emission. These results can be explained by assuming
CDW-CDW tunneling in the presence of an energy gap corrugation $\epsilon_{2}$
comparable to $\Delta_{2}$, which eliminates expected peak at
$\Delta_{1}+\Delta_{2}$. The nanometer length-scales our experiments imply
indicate that an alternative explanation based on tunneling through
back-to-back CDW-normal junctions is unlikely.
