1. A call to the intensity and sample displacement macro with the incident beam angle fixed and the sample displacement allowed to refine.
2. The instrument component of the peak profiles was fixed at the values determined using the Y2O3 data.
3. Each phase was bracketed by the TOPAS #ifdef and #endif commands to allow their inclusion or exclusion under external control by the batch program.
4. Some phase related parameters (for example, unit cell dimensions and crystallite size) were allowed to refine but only within limits determined during optimization.
5. The absolute phase abundances were calculated using Equation 5 within TOPAS to minimize the amount of post-Rietveld calculation required.