The tolerance factor of ABO3 composite materials can be determined by calculating the ratio of the ionic radii of the cations and anions in the material. This ratio is known as the tolerance factor and is used to determine the stability of the material. The tolerance factor can be calculated using the following equation:
Tolerance Factor = (Rc/Ra)^2
Where Rc is the cationic radius and Ra is the anionic radius. The tolerance factor should be between 0.75 and 1.00 for a stable ABO3 composite material.
The tolerance factor of ABO3 composite materials is a measure of the deviation of the actual crystal structure from the ideal perovskite structure. The tolerance factor can be calculated using the following equation:
t = (rA + rO) / (√2 * (rB + rO))
Where t is the tolerance factor, rA is the ionic radius of the A-site cation, rB is the ionic radius of the B-site cation, and rO is the ionic radius of the oxygen ion.
For BFO/BT type material, the tolerance factor can be calculated as follows:
t = (rFe + rO) / (√2 * (rTi + rO))
Where rFe is the ionic radius of Fe and rTi is the ionic radius of Ti.
**It's worth noting that the tolerance factor is a dimensionless quantity, and values typically range between 0 and 1. Values close to 1 indicate that the crystal structure is close to the ideal perovskite structure, while values close to 0 indicate that the crystal structure deviates significantly from the ideal perovskite structure.
**It is also important to note that the ionic radii values can be obtained from various sources such as CRC handbook or ICSD, and it's important to use consistent sources for the radii values.