A dry etch method, apparatus, and system for etching a high-k material comprises sequentially contacting the high-k material with a vapor phase reducing agent, and a volatilizing etchant in a cyclical process. In some preferred embodiments, the reducing agent and/or volatilizing etchant is plasma activated. Control over etch rate and/or selectivity are improved by the pulsed process, where, in some embodiments, each step in the cyclical process has a self-limited extent of etching. Embodiments of the method are useful in the fabrication of integrated devices, as well as for cleaning process chambers.