Grain Size of Ceramics: Why Larger is Smaller for Diffusivity

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Larger grain sizes in ceramics lead to reduced grain-boundary contributions to diffusivity due to fewer grain boundaries and decreased grain boundary surface area. The linear intercept method is a common technique for measuring grain size in polycrystalline materials by counting intercepted grain boundaries. Grain boundaries exhibit higher entropy because they consist of a mixture of different types of atoms. This higher entropy at grain boundaries can influence diffusivity characteristics. Understanding these relationships is crucial for optimizing the properties of ceramic materials.
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Why is it that the larger the grain size, the smaller the grain-boundary contribution to diffusivity?
 
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The larger the grain size, the less grain boundaries and the less grain boundary surface area.

One method of determining grain size in polycrystalline materials is the linear intercept method. On can draw a straight line and determine how many grain boundaries are intercepted. This has been correlated with a mean grain size.
 
The grain-boundary has higher entropy, because it has a mixture of different type of atoms, is that correct?
 
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