The thermal conductivity of [01 (1) over bar0]-oriented ZnO nanobelts 19-41 angstrom in size is characterized over the temperature range of 500- 1500 K using the Green-Kubo approach. Values obtained are one order of magnitude lower than that for bulk ZnO single crystal. Surface scattering of phonons and the high surface-to-volume ratios of the nanobelts are primarily responsible for the significantly lower values and the size dependence observed. The conductivity is also found to decrease with temperature and this decrease is attributed to thermal softening of the material, three- and four-phonon processes, and optical phonon interactions. (c) 2006 American Institute of Physics.