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 \sim 280 \pm 80Â km .