Prediction of the Si etch rate in a fluorocarbon plasma is important in finding the optimal process condition for highly selective SiO 2 etching over Si which is essential for ultralarge-scale integration (ULSI) fabrication. [1][2][3][4] The best tool in making such a prediction is the etch-rate equation with the rate expressed as a function of the process variables. However, the relations between the etch rate and the external process variables such as total pressure, power density, and gas flow rate are strongly dependent on the hardware configuration of the etching system and do not guarantee run-to-run reproducibility in different etchers. The internal process variables such as the partial pressures of radicals, the sheath bias voltage, and the ion current density, which are set in response to the external variables, eventually determine the etching characteristics independent of the etcher configuration. 5 Therefore, they are more useful than the external variables for etch-rate prediction. The internal variables in the etch rate equation are not necessarily independent of each other but should be measurable in the process with proper diagnostic tools.Several research groups have expressed the Si etch rate in a fluorine-based plasma with the internal process variables. [6][7][8][9][10][11] The F concentration is the most important because F atoms are the main etchant species in the system. Ninomiya et al. 6 observed that the Si etch rate increased linearly with the F concentration. Flamm et al., 7 who expressed the etch rate as a function of the F concentration and the substrate temperature, also reported that the rate was proportional to the F concentration. However, these two groups excluded the influence of reactive ions in their experiments by locating the Si substrate outside the F 2 plasma. Therefore, these equations represent the thermal etch rate due to F atoms but not the rate in the ion-enhanced plasma etching where the thermal rate is relatively small.The mechanisms of the ion-enhanced etching are still debated but are summarized into four categories: chemical sputtering, 12 chemically enhanced physical sputtering, 13 damage-enhanced chemical reaction, 14 and increased spontaneous etching. 15 Enhancement of the etch rate by ions is related to two internal variables: the sheath bias voltage and the ion current density. The former represents the kinetic energy of incident ions and the latter the number flux of ions. Although the ionic kinetic energy is determined by the difference between the plasma and the electrode potentials, it is usually dependent on the electrode potential only, because the plasma potential is relatively small enough to be neglected. 16 Mayer and Barker 17 observed that the Si etch yield, the etch rate per incident ion, increased with the kinetic energy of the ions in their study with reactive ion beam etching (RIBE) apparatus. Moreover, Steinbrüchel 18 reported that the ionenhanced chemical etch yield increased linearly with the square root of the ion energy. A few groups, in...