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Recrystalization

Oxidation

If you want to calculate ODF (for cubic symmetry only) using your own data, please read carefully the requirement of the file format for your pole figure data, which is described below. Online ODF calculation is available for cubic system and materials with orthrombic sample symmetry and low precision.

To practice ODF calculation using our sample data.

To start ODF calculation with your own data.

To calculate ODF for all seven crystal systems with high resolution, please try our free TexTools Software Package

Note: File format for ODF calculation (in the text area).

The first line is the description of the pole figure file. Usually it is the name of the pole figure file.
The second line specifies the number of rows and columns in the pole figure file. The format for this line in "N x M" ( small "x"). N is the number of rows and M is the number of columns. Maximum value of N is 19 (5 degree interval) and maximum value of M is 73. For example, "17x73" means that the pole figure file has 17 rows and 73 columns, which is a incomplete pole figure with a up to 80 degree. You can also use "0" to represent the unmeasured data point.
From the third line on, it contains the pole figure data.

FeNi111.pol
19x73
2.2660 2.1432 2.2046 2.2844 2.6529 2.3151 2.7450 2.7880 2.1923 2.3458 2.3888 2.6344 2.8064 2.5116 2.9599 3.1748 3.0827 3.0950 2.9108 2.9108 2.4379 2.0818 2.6959 2.0695 2.2660 1.9589 2.3581 2.3581 3.2792 2.5239 2.5730 3.0213 2.3151 2.3888 2.7143 2.5239 2.5116 2.8494 2.4686 2.6959 2.8187 2.9108 2.9292 2.5116 2.3274 2.6959 2.2230 2.1739 2.2230 2.2537 2.4195 2.0695 2.4072 2.3151 1.6212 1.8361 1.9467 2.2046 1.8054 2.0081 1.7563 1.9589 2.1739 1.8238 1.4984 2.2230 2.2660 2.3765 2.7880 2.2660 1.9589 2.2844 2.2660
1.4612 1.4793 1.9719 2.2723 1.4793 1.4793 1.5994 2.0620 2.4105 2.3624 2.3204 2.7109 3.4919 3.3718 3.0113 3.3718 2.5006 2.8911 2.8130 2.2903 2.4105 2.5126 2.4646 2.4105 2.4225 2.5126 2.2723 1.6715 1.6895 1.7797 1.9299 1.2990 1.2990 1.4793 1.2990 1.2990 0.8604 1.1488 1.0407 1.1007 1.1007 1.3291 1.0707 1.4192 1.3591 1.8217 1.8217 2.2122 2.6028 1.8217 1.9419 1.5213 2.0020 2.3925 2.1221 2.5126 2.8431 2.3504 2.3024 1.9719 2.2122 2.2122 2.2303 2.1101 1.8097 1.8518 1.5513 2.0801 2.2002 1.6114 1.7917 1.7316 1.4612
0.4203 0.6492 0.2697 0.3179 0.6793 0.6612 0.9021 1.1129 0.8419 1.4020 1.2635 1.5526 2.0043 2.2452 2.3657 2.7572 2.5885 3.3414 2.6488 2.4259 2.4982 2.0766 2.1669 1.2936 1.8056 0.8118 0.7215 0.9202 0.5709 0.6492 0.5287 0.3179 0.3721 0.3300 0.2396 0.2216 0.2396 0.2697 0.4203 0.1192 0.3601 0.5287 0.6492 0.5287 1.1732 1.1009 1.1129 1.6249 1.5044 1.4442 1.4020 2.6488 2.2151 2.4259 2.2874 2.8596 2.5885 2.3657 2.1067 1.6249 1.7152 1.4020 1.0527 1.1732 0.7696 0.5107 0.5287 0.5107 0.5408 0.5588 0.5890 0.5408 0.4203
0.0006 0.0847 0.0666 0.0666 0.1755 0.1332 0.1755 0.1029 0.6294 0.6597 0.8110 1.0713 1.4344 2.0699 2.1909 2.1728 2.2817 1.9186 1.6765 2.7357 2.2030 2.0215 1.2226 1.0531 0.7686 0.8292 0.4479 0.3873 0.3268 0.2360 0.0545 0.0424 0.0545 0.0242 0.0006 0.0545 0.0666 0.0121 0.0006 0.0545 0.0006 0.0006 0.0545 0.2542 0.1755 0.5992 0.3268 0.6294 1.1136 1.7068 1.5978 1.5857 1.8278 1.6765 1.9004 1.9488 1.7975 1.9186 1.5857 1.1318 0.9502 0.9018 0.6294 0.6597 0.5871 0.3450 0.2360 0.2058 0.1453 0.1332 0.1332 0.1150 0.0006
0.0006 0.0006 0.0006 0.0006 0.0193 0.0193 0.0976 0.1398 0.1097 0.8324 1.0131 1.3323 1.3323 1.5853 1.7660 2.5369 2.4285 2.0370 2.5068 2.3381 2.2177 1.9948 1.8563 0.9107 0.8927 0.7421 0.5614 0.0976 0.0006 0.0073 0.0976 0.0374 0.0006 0.0193 0.0006 0.0193 0.0006 0.0006 0.0006 0.0006 0.0006 0.0193 0.0006 0.0374 0.1398 0.1398 0.3506 0.3084 0.8204 1.1637 1.5552 1.8744 1.8141 1.7178 1.5130 1.4949 1.8563 2.0671 1.5552 1.2721 0.9107 0.9228 0.3626 0.3506 0.5313 0.1699 0.0006 0.0615 0.0006 0.0006 0.0006 0.0006 0.0006
0.0075 0.0199 0.0633 0.0006 0.1625 0.0075 0.0633 0.0385 0.3733 0.3733 0.4539 1.2475 1.4025 1.9915 1.8799 2.1279 2.4255 2.9649 1.7869 2.2705 2.4689 1.9419 1.7249 1.3529 0.9499 0.7329 0.3733 0.2989 0.0199 0.0075 0.0199 0.0006 0.0006 0.0006 0.0509 0.0006 0.0006 0.0006 0.0006 0.0509 0.0006 0.1005 0.0385 0.0509 0.0633 0.2865 0.3609 0.6275 0.8259 1.3715 1.3219 1.6009 1.8675 1.9915 1.2599 1.9915 1.6319 1.8179 1.1979 1.3095 0.9933 0.6399 0.2555 0.3175 0.1315 0.0385 0.0075 0.0006 0.0006 0.0006 0.0006 0.0006 0.0075
0.0006 0.0677 0.0246 0.0554 0.1170 0.1046 0.1970 0.1354 0.1970 0.4124 0.7325 0.9911 1.8713 1.9944 2.6100 2.6100 2.0129 1.8898 2.1668 2.4561 2.9486 1.7051 1.8590 1.5512 1.0095 0.6710 0.3509 0.2093 0.1354 0.1785 0.0431 0.0677 0.1170 0.1046 0.0123 0.0006 0.0431 0.0554 0.0006 0.0246 0.1354 0.0006 0.0123 0.0431 0.0862 0.3201 0.4124 0.7325 1.1019 1.4589 2.0560 2.1360 1.8590 2.1052 1.8590 1.8713 1.8405 1.8898 2.2099 1.3789 1.0896 0.8556 0.6587 0.3324 0.2585 0.1170 0.0862 0.1170 0.0246 0.0006 0.0006 0.0006 0.0006
0.0006 0.0551 0.0006 0.0006 0.0674 0.1164 0.1654 0.0551 0.5146 0.5330 0.8086 1.2804 2.6465 2.6465 2.7690 2.8303 1.8807 2.8119 2.2789 2.0339 2.7506 2.8425 2.7078 1.9114 1.2804 1.1762 0.6984 0.6249 0.3002 0.1041 0.2389 0.1164 0.0123 0.0006 0.0245 0.0006 0.0006 0.0006 0.0551 0.0674 0.0429 0.1960 0.2205 0.1164 0.3308 0.5759 0.6065 1.0966 1.5744 2.1380 1.8807 2.1564 2.4443 2.7690 1.7888 1.9420 1.9236 2.1074 2.6465 1.7092 1.3600 1.0353 0.9128 0.4840 0.4533 0.1164 0.1348 0.0006 0.0006 0.0006 0.0123 0.0123 0.0006
0.0006 0.0006 0.0073 0.0493 0.1875 0.1575 0.1995 0.3618 0.8003 0.9085 1.5093 1.7496 2.6929 3.7022 3.7743 2.9933 3.1915 2.6809 2.5126 3.0413 3.6421 3.7142 3.2336 2.2303 1.9419 1.4492 1.0587 0.7583 0.9085 0.2776 0.2596 0.2897 0.2296 0.0373 0.1094 0.0073 0.0006 0.0614 0.1274 0.0794 0.2116 0.1875 0.3618 0.6982 0.5901 0.9085 1.0286 1.8397 1.8998 2.1822 2.6628 3.3237 3.3117 2.2002 2.4526 2.3624 3.3237 2.8311 2.9813 2.6929 2.2423 1.3891 0.9205 0.8184 0.5480 0.2897 0.2476 0.1875 0.0493 0.0493 0.0006 0.0193 0.0006
0.0674 0.0006 0.1960 0.0674 0.2879 0.5023 0.7474 1.0843 1.1762 1.6786 1.9542 2.8303 2.8609 3.7614 3.7921 3.9636 3.2285 2.5056 3.0141 4.1780 3.7798 3.7921 3.9759 3.3204 2.4627 2.1564 1.7521 1.3906 1.4029 0.9863 0.7596 0.4533 0.4105 0.3186 0.2389 0.2573 0.2205 0.3614 0.2695 0.4533 0.4105 0.6677 1.2681 1.0843 1.2681 1.3294 1.3906 1.6663 2.7690 3.7002 3.9942 3.5470 3.8533 3.0141 2.3402 3.3020 3.3204 4.1168 4.2393 3.8411 2.7506 2.5362 1.9726 1.1762 1.0966 0.9434 0.5452 0.3614 0.3308 0.2083 0.0006 0.0551 0.0674
0.5408 0.3667 0.5582 0.7438 0.9759 1.0339 1.1963 1.7300 2.1825 2.4842 2.3798 2.7337 3.2384 3.5459 3.7895 2.4552 2.3102 1.7010 2.7337 2.5016 3.0644 3.3138 3.1398 3.0063 3.1050 2.6757 2.2406 2.2406 1.7300 1.7881 1.4284 1.6430 1.1383 1.5560 1.0803 1.1209 1.0049 1.1209 1.1383 1.3820 1.4110 1.2949 1.7300 1.6720 1.8635 2.3682 2.8323 2.4262 2.7917 3.5169 3.3544 3.6909 2.6293 2.8787 2.3566 2.3682 2.7743 3.3428 3.8185 3.6039 3.3718 3.1224 2.4726 2.2696 1.5734 1.4574 1.6314 0.9759 0.9933 0.7438 0.5872 0.3087 0.5408
2.4427 2.6736 2.6043 2.5870 2.7602 1.9406 1.8251 1.9233 2.0560 2.4312 2.6043 2.8467 2.6736 2.4312 2.4139 1.9117 1.8655 1.4904 1.4788 1.6462 2.0849 2.0849 1.9233 2.0560 2.3157 2.1137 2.3273 2.2696 1.9117 2.1541 2.5178 2.9506 2.8756 3.2796 3.2970 3.4817 3.4701 3.3662 3.0488 3.2508 2.4139 2.5178 2.3850 2.0387 2.3677 2.6159 2.3273 2.5466 2.6159 2.2696 1.9521 2.2869 2.2869 1.7501 2.3446 2.2003 2.2292 2.2984 2.1830 2.2292 2.9622 3.1353 2.9795 2.3157 2.2292 1.8251 2.6043 2.7025 2.9333 2.7775 2.4889 2.5755 2.4427
3.8276 3.6580 3.7145 3.3583 2.7251 2.1145 1.6622 1.4530 1.2947 1.2834 1.7470 1.8770 1.4530 1.1703 0.9555 0.8424 0.7293 0.6332 0.7463 0.7463 0.8424 0.8707 0.8707 1.1534 1.4078 1.2269 1.3230 1.2551 1.3117 1.2834 1.7470 2.3237 2.5272 2.6403 2.6686 2.5668 2.5272 2.8778 2.8778 2.6233 2.1710 2.0862 1.5774 1.3230 1.4247 1.3399 1.8488 1.7357 1.4530 1.1816 1.0686 0.8707 0.8424 0.7746 0.8989 0.9442 1.3117 0.8424 1.6057 1.5491 2.1710 2.0580 2.3124 1.8035 1.8205 1.9449 2.5385 2.9795 3.3866 3.8841 3.9407 3.4997 3.8276
0.8029 0.9394 1.1688 1.3218 0.8684 0.9667 0.5953 0.5953 0.3496 0.4588 0.5680 0.7592 0.6390 0.3659 0.3769 0.3113 0.1202 0.1475 0.1857 0.3496 0.2403 0.2130 0.1584 0.3332 0.6117 0.5844 0.5407 0.4861 0.6117 0.5298 0.5298 0.5844 0.7483 0.7483 0.3933 0.4588 0.3222 0.7319 0.6663 0.7046 0.7865 0.6227 0.6390 0.7319 0.4861 0.6500 1.0050 0.6390 0.7756 0.5953 0.1475 0.1748 0.2294 0.2567 0.2130 0.2130 0.5025 0.5298 0.7483 0.8575 1.3054 1.1306 1.0214 0.7756 0.9667 0.9231 1.5402 1.6877 1.5402 1.7587 1.1579 1.1852 0.8029
0.0808 0.0565 0.1051 0.1294 0.2265 0.1536 0.1196 0.0954 0.0954 0.0322 0.1439 0.2993 0.2993 0.2168 0.0419 0.0419 0.0419 0.0006 0.0808 0.0006 0.0079 0.0006 0.0006 0.0225 0.1634 0.0808 0.2168 0.0711 0.1634 0.1439 0.0006 0.0225 0.1196 0.0006 0.0225 0.0006 0.0006 0.0006 0.0225 0.0419 0.0419 0.2168 0.1925 0.1536 0.2508 0.1196 0.0711 0.2508 0.1196 0.1536 0.0954 0.0565 0.0565 0.0079 0.0006 0.0006 0.0006 0.1051 0.0322 0.3236 0.2848 0.3625 0.3236 0.1634 0.2653 0.2508 0.2265 0.2751 0.1051 0.2022 0.0711 0.0006 0.0808
0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0100 0.0006 0.0006 0.0006 0.0006 0.0100 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0100 0.0006 0.0100 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0223 0.0100 0.0006 0.0306 0.0017 0.0635 0.0388 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0017 0.0006 0.0006 0.0006 0.0006 0.0718 0.1047 0.0306 0.0924 0.0223 0.0841 0.0006 0.0100 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006
0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006 0.0006
 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 
 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0

Introduction of ODF.

more...

ODF Calculation

Pole Figure Calculation

Inverse Pole Figure Calculation

GBCD Calculation

Symmetrical Orientations

Miller Indices <-> Euler Angles

Calculation of d Spacings

3D Euler Angles and Miller Indices

Fourteen Bravais Lattices

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