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What is the inverse pole figure?
 

As it is indicated by its name, the inverse pole figure is a sort of 'opposite' to the pole figure. While the pole figure shows how the specified crystallographic direction of grains are distributed in the sample reference frame, the inverse pole figure shows how the selected direction in the sample reference frame is distributed in the reference frame of the crystal. For example, normal direction inverse pole figure, lets us know which crystallographic directions in the polycrystalline material are most likely parallel to the sample normal direction. Since the properties of many important engineering materials are strongly direction-dependent, the inverse pole figure is very useful in predicting and calculating the average properties of polycrystalline material along a chosen direction.

Due to the crystal symmetry, a complete inverse pole figure usually contains many areas where the same information is repeated. For example, there are 24 symmetric sections in a inverse pole figure for cubic system, as shown below. Practically, only one section is used.

inverse PF partial inverse PF
A complete inverse pole figure
A partial inverse pole figure
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What is texture  
Where is texture observed  
How is texture formed  
Why is texture important  
How is texture measured and what is pole figure  
How is texture represented  
What is inverse pole figure  
   
   
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