  Sensitivity coefficients to temporal variation of the fine-structure constant
alpha for transitions between the fine-structure (FS) sub-levels of the ground
states of C I, Si I, S I, Ti I, Fe I, N II, Fe II, O III, S III, Ar III, Fe
III, Mg V, Ca V, Na VI, Fe VI, Mg VII, Si VII, Ca VII, Fe VII, and Si IX are
calculated. These transitions lie in the mid- and far-infrared regions and can
be observed in spectra of high-redshift quasars and infrared bright galaxies
with active galactic nuclei. Using FS transitions to study alpha-variation over
cosmological timescale allows to improve the limit on $|\Delta\alpha/\alpha|$
by several times as compared to contemporaneous optical observations
($|\Delta\alpha/\alpha| < 10^{-5}$), and to suppress considerably systematic
errors of the radial velocity measurements caused by the Doppler noise.
Moreover, the far infrared lines can be observed at redshifts z > 10, far
beyond the range accessible to optical observations (z < 4). We have derived a
simple analytical expression which relates the FS intervals and the sensitivity
of the FS transitions to the change of alpha.
