ODF plot for hexagonal metals

[Khoa Do]

Hi folks,

I was trying to calculate and plot ODF from the ebsd of Titanium using the below lines

%ODF and pole figure

psi = calcKernel(grains('Ti-alpha').meanOrientation)

% compute the ODF with the kernel psi

CS = grains('Ti-alpha').CS;

odf = calcODF(ebsd('Ti-alpha').orientations,'kernel',psi)

% plotting plain projection of ODF

figure;

plot(odf,'alpha','sections',6,'projection','plain','contourf')

mtexColorMap white2black

the result was nice but should not be correct as the value of phi 1 was from 0-360 degree instead of 0-90 degree.
I was wondering anybody has encountered and solved this issue before, would love to hear from your helps

Thanks

K

[Ralf Hielscher]

Its a long lasting myth that phi1 should go only up to 90 degree. Where do you have this information from?

In you example a lot of things seem to happen around 360 degree. This is part of reality - why trow it away?

Ralf.

PS: 0-90 degree is correct if specimen symmetry is orthotropic. You ODF does not seem to have this symmetry. So 0-360 degree is correct.

********************************************************************
Ralf Hielscher                   Tel: +371-531-38556
Fakultät für Mathematik               +371-531-22200 (Sekr.)
Technische Universität Chemnitz  Fax: +371-531-22109
Reichenhainer Str. 39            E-mail: ralf.hi...@mathematik.tu-chemnitz.de
D-09126 Chemnitz                 http://www.tu-chemnitz.de/~rahi
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[Khoa Do]

Hi Ralf,

Thanks for your reply. 

In my own knowledge, due to the crystal symmetry in hexagonal metals, the Euler space is restricted  to the region of {90,90,60}. 

In other words,in theory,  the ODF should be symmetrical in the region of {90,90,60} for hexagonal metals such as titanium. That gives me some doubts as my ODF plot did not show such symmetry for hexagonal crystal

Regards,

K

[Ralf Hielscher]

without symmetry orientation space is 360, 180, 360. Symmetry elements in hexagonal symmetry group are 12.

So 360,90,60 which is exactly 1/12 of the full space is correct.

Ralf.

********************************************************************
Ralf Hielscher                   Tel: +371-531-38556
Fakultät für Mathematik               +371-531-22200 (Sekr.)
Technische Universität Chemnitz  Fax: +371-531-22109
Reichenhainer Str. 39            E-mail: ralf.hi...@mathematik.tu-chemnitz.de
D-09126 Chemnitz                 http://www.tu-chemnitz.de/~rahi
********************************************************************