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in the radius ratio of a crystal, what is the difference between the radius of the interstitial atom and large atom?
The radius ratio of a crystal is the ratio of the radius of the interstitial atom to the radius of the large atom in the crystal. It is used to determine the stability and structure of a crystal lattice.
The radius ratio is calculated by dividing the radius of the interstitial atom by the radius of the large atom. This value is typically between 0.155 and 0.225 for stable crystal structures.
The radius ratio is significant because it determines the coordination number and geometry of the crystal lattice. A high radius ratio leads to a higher coordination number and more complex crystal structures, while a low radius ratio results in a lower coordination number and simpler structures.
A high radius ratio means that the interstitial atoms can easily fit between the large atoms in the crystal lattice, leading to a larger number of interstitial sites and more complex structures. A low radius ratio means that the interstitial atoms cannot fit as easily, resulting in a lower number of interstitial sites and simpler structures.
Yes, the radius ratio of a crystal can change if the temperature or pressure changes. This can result in a different crystal structure with a different coordination number and geometry. Additionally, the introduction of impurities or defects in the crystal can also affect the radius ratio and alter the crystal structure.