  Using data obtained by the high temporal and spatial resolution Rapid
Oscillations in the Solar Atmosphere (ROSA) instrument on the Dunn Solar
Telescope, we investigate at an unprecedented level of detail transverse
oscillations in chromospheric fine structures near the solar disk center. The
oscillations are interpreted in terms of propagating and standing
magnetohydrodynamic kink waves. Wave characteristics including the maximum
transverse velocity amplitude and the phase speed are measured as a function of
distance along the structure's length. Solar magneto-seismology is applied to
these measured parameters to obtain diagnostic information on key plasma
parameters (e.g., magnetic field, density, temperature, flow speed) of these
localised waveguides. The magnetic field strength of the mottle along the
$\sim$2 Mm length is found to decrease by a factor of 12, while the local
plasma density scale height is $\sim280\pm$80 km.
