Plotting Pole Figure for Family of Planes {hkl} and Directions <uvw>

[KatieBillings]

Hello all,
I am trying to plot pole figures for some calcite data. I would like to plot pole figures for (0001) {10-14} <-12-10> and <20-2-1>, however I am unsure how to plot the symmetrical planes, denoted by {hkl}, and symmetrical directions, denoted by < uvw >, in mtex. I suspect I'll need to make use of the 'symmetrise' function, though I've had no luck getting it to plot correctly. Please let me know if anyone has any suggestions. Thank you!

Here is how I have attempted to plot my pole figures:

C_CS = crystalSymmetry('-3m1', [5 5 17], 'X||a*', 'Y||b', 'Z||c*', 'mineral', 'Calcite', 'color', [0.6 0.8 0]);
h = {Miller(0,0,0,1,'hkil',C_CS), Miller(1,0,-1,4,'hkil',C_CS), (Miller(-1,2,-1,0,'uvtw',C_CS)),Miller(2,0,-2,-1,'uvtw',C_CS)};
C_Or = meanOr_data;
ori = calcDensity(C_Or,'halfwidth',10*degree);
figure
plotPDF(ori,h,'hemisphere','lower','projection','earea','silent','planes','contourf')

Which generates the following plot:

[lfgmorales]

Hi katie, What do you mean by plotting the “symmetrical planes”? The crystal symmetry is intrinsic on your definition of CS, calcite is trigonal, so when you say {10-14} it will plot the group of pole to planes symmetrically equivalent in that pole figure, to me your pole figures look good, you see one maximum concentration of 0001 and three of 10-14, showinf the trigonal symmetry. But maybe I misunderstood the question Cheers Luiz Luiz F. G. Morales ScopeM - ETH Zürich Sent from iPhone On 24 Sep 2024, at 20:33, Katie Billings ***@***.***> wrote:  Hello all, I am trying to plot pole figures for some calcite data. I would like to plot pole figures for (0001) {10-14} <-12-10> and <20-2-1>, however I am unsure how to plot the symmetrical planes, denoted by {hkl}, and symmetrical directions, denoted by < uvw >, in mtex. I suspect I'll need to make use of the 'symmetrise' function, though I've had no luck getting it to plot correctly. Please let me know if anyone has any suggestions. Thank you! Here is how I have attempted to plot my pole figures: C_CS = crystalSymmetry('-3m1', [5 5 17], 'X||a*', 'Y||b', 'Z||c*', 'mineral', 'Calcite', 'color', [0.6 0.8 0]); h = {Miller(0,0,0,1,'hkil',C_CS), Miller(1,0,-1,4,'hkil',C_CS), (Miller(-1,2,-1,0,'uvtw',C_CS)),Miller(2,0,-2,-1,'uvtw',C_CS)}; C_Or = meanOr_data; ori = calcDensity(C_Or,'halfwidth',10*degree); figure plotPDF(ori,h,'hemisphere','lower','projection','earea','silent','planes','contourf') Which generates the following plot: Screenshot.2024-09-24.123038.png (view on web)<https://github.com/user-attachments/assets/8acddcd6-a2e7-4a7d-9bda-8d08ea76fff1> — Reply to this email directly, view it on GitHub<#2230>, or unsubscribe<https://github.com/notifications/unsubscribe-auth/ALE5IN7ASGMRTJ235PTWC6TZYGV6DAVCNFSM6AAAAABOY44CLKVHI2DSMVQWIX3LMV43ERDJONRXK43TNFXW4OZXGIZTCNRYHA>. You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>

[KatieBillings]

Hi Luiz,
Thank you for your helpful response. I understand now that its already accounting for the symmetry when its plotting. I was confused since the notation doesn't change in the output. Thank you for your help!

For anyone else confused, it is clearer that it is plotting correctly when I plot a single randomly oriented grain: