High-resolution Fourier transform spectra of a natural sample of hydrogen telluride and of monoisotopic (H2Te)-Te-130 have been recorded in the 3.2-4-0 mu m spectral region where the 3 nu(2), nu(1) + nu(2) and nu(3) bands of this molecule absorb. The (030) rotational levels were least-squares fitted using a Watson-type Hamiltonian whereas it proved necessary to consider the strong Coriolis interaction coupling the (110) and the (011) rotational levels. In this way all the experimental levels were calculated to within their experimental uncertainty and precise sets of vibrational energies and rotational and coupling constants were obtained for the (030), (110), and (011) vibrational states of (H2Te)-Te-130, (H2Te)-Te-128, (H2Te)-Te-126, (H2Te)-Te-125, (H2Te)-Te-124, (H2Te)-Te-123, and (H2Te)-Te-122. The band centers for the most abundant isotopic species, namely (H2Te)-Te-130, are: nu(0)(3 nu(2)) = 2565.4428, nu(0)(nu(1) + nu(2)) = 2911.4098, nu(0)(nu(2) + nu(3)) = 2915.9599 cm(-1). (C) 1997 Academic Press.