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| ===== Component analysis ===== | ===== Component analysis ===== | ||
| - | A component analysis provides you with the components, which "make" your textures. Example: The following image shows the inverse pole figure (IPF) of a textured material with tetragonal symmetry. Although the raw data consists of dozens of individual crystals, there are only two distinct "types" of orientations visible: at [001] and close to [-110]. A component analysis provides you the exact contribution of each of these two components. | + | A component analysis provides you with the components, which "make" your textures. |
| - | {{:software:qz2mgc2_st_43gr_ipf_hw10.jpg?300|Textured material with two components}} | + | Example: Figure a) shows the inverse pole figure (IPF) of a textured material with tetragonal symmetry. Although the raw data consists of dozens of individual crystals, there are only two distinct "types" of orientations visible: at [001] and close to [-110]. A component analysis provides you the exact contribution of each of these two components. |
| - | {{ :software:qz2mgc2_st_43gr_ipf_hw15.jpg?300|Textured material with two components}} | + | |
| + | {{:software:qz2mgc2_st_43gr_ipf_hw10.jpg?330|Textured material with two components}} | ||
| + | {{ :software:qz2mgc2_st_43gr_ipf_hw15.jpg?330|Textured material with two components}} | ||
| //Left: Figure a): HW = 10; right: Figure b): HW = 15// | //Left: Figure a): HW = 10; right: Figure b): HW = 15// | ||
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| </code> | </code> | ||
| - | You can see that MTeX calculated - very surprisingly - even seven components. To visualize these components, you can implement them in your pre-made figure, like so: | + | You can see that MTeX calculated - very surprisingly - even seven components. To visualize these components, you can implement them in your pre-made figure, like so (see Figure c): |
| annotate(ori,'MarkerFaceColor','red') | annotate(ori,'MarkerFaceColor','red') | ||
| - | {{:software:qz2mgc2_st_43gr_ipf_hw10_comp.jpg?400|Textured material with two components}} | + | {{:software:qz2mgc2_st_43gr_ipf_hw10_comp.jpg?330|Textured material with two components}} |
| - | + | {{ :software:qz2mgc2_st_43gr_ipf_hw15_comp.jpg?330|Textured material with two components}} | |
| - | These components are obviously not correct. Apparently, the texture is sharper in certain areas than it looks like in the figure. That´s why MTeX finds more components than there are actually there. To solve this issue, one has to smoothen the odf. This is done by increasing the halfwidth of the kernel (HW) when calculating the odf at the very beginning. The IPF above was created by using a HW of 10. This is how it looks like after increasing it to 15 (fig b) | + | //Left: Figure c): HW = 10; right: Figure d): HW = 15// |
| - | You can see that the IPF slightly changed. However, the data is still the same. When we calculate the components again, it looks a little bit better: | + | These components are obviously not correct. Apparently, the texture is sharper in certain areas than it looks like in the figure. That´s why MTeX finds more components than there are actually there. To solve this issue, one has to smoothen the odf. This is done by increasing the halfwidth of the kernel (HW) when calculating the odf at the very beginning. The IPF above was created by using a HW of 10. This is how it looks like after increasing it to 15 (fig b). You can see that the IPF slightly changed. However, the data is still the same. When we calculate the components again, it looks a little bit better: |
| <code> | <code> | ||
| Bunge Euler angles in degree | Bunge Euler angles in degree | ||
| Line 291: | Line 293: | ||
| </code> | </code> | ||
| - | The number of components decreased to four. Their location in the IPF seems also much more reasonable. Now, you can decide either to increase the HW even more to hopefully get only the two components, which you expected, or you continue. | + | The number of components decreased to four. Their location in the IPF seems also much more reasonable (see Figure d). Now, you can decide either to increase the HW even more to hopefully get only the two components, which you expected, or you continue. |
| ==== Interpreting the results ==== | ==== Interpreting the results ==== | ||
software/mtex.1601996844.txt.gz · Last modified: 2020/10/06 15:07 by matthias
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