  Height series of H${\alpha}$ spectra in solar limb spicules obtained with the
53 cm coronagraph of the Abastumani Astrophysical Observatory are analyzed.
Each height series covered 8 different heights beginning at 3800 km above the
photosphere. The spatial difference between neighboring heights was 1$^{\prime
\prime}$, consequently $\sim$ 3800 - 8700 km distance above the photosphere has
been covered. The total time duration of each height series was 7 s. We found
that nearly 20% of measured height series show a periodic spatial distribution
of Doppler velocities. We suggest that this spatial periodicity in Doppler
velocity is caused by propagating kink waves in spicules. The wave length is
found to be $\sim$ 3500 km. However the wave length tends to be $\sim$ 1000 km
at the photosphere due to the height variation of the kink speed. This probably
indicates to a granular origin for the waves. The period of waves is estimated
to be in the range of 35-70 s. These waves may carry photospheric energy into
the corona, therefore can be of importance in coronal heating.
