Classwork 10 standard.pdf - LMC
Classwork 10 standard.pdf - LMC
Classwork 10 standard.pdf - LMC
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Materials Science and Engineering: 2 nd year, 2011: CRYSTALLOGRAPHY<br />
<strong>Classwork</strong> <strong>10</strong>: stereographic projections<br />
Drawing a Cubic [001] Standard Projection.<br />
1. Place the 001 normal at the centre of the stereogram and draw the primitive circle.<br />
2. Draw in the 0<strong>10</strong> 0<strong>10</strong> <strong>10</strong>0 and <strong>10</strong>0 poles.
3. Draw and label the great circles (traces) of the (0<strong>10</strong>) and (<strong>10</strong>0) planes.<br />
4. Draw in the poles corresponding to the following plane normals:<br />
1<strong>10</strong> 1<strong>10</strong> 1<strong>10</strong> and 1<strong>10</strong>
5. Draw in the poles corresponding to the following plane normals:<br />
<strong>10</strong>1 <strong>10</strong>1 011 and 011<br />
6. Use the Wulff net to measure the angles between the poles:<br />
<strong>10</strong>0 and 0<strong>10</strong><br />
<strong>10</strong>0 and <strong>10</strong>1<br />
<strong>10</strong>0 and 1<strong>10</strong><br />
<strong>10</strong>1 and 011<br />
Using the Wulff net of question 5, we just have to rotate the red point such that they are on<br />
the same circle, then we just have to read the results.<br />
a) 90° ( no rotation is needed )<br />
b) 45° ( no rotation is needed )<br />
c) 45° ( no rotation is needed )<br />
d) 70° ( a rotation of -45° is needed )<br />
7. Draw in and label the traces for the planes:<br />
1<strong>10</strong>; 1<strong>10</strong>; 1<strong>10</strong>; 1<strong>10</strong>
8. Draw in and label the traces for the planes:<br />
<strong>10</strong>1; <strong>10</strong>1; 011; 011<br />
9. Plot the normals to the four 111 planes.<br />
<strong>10</strong>. Plot and label the traces representing the following planes:<br />
111; 111; 111; 111
11. Measure the angles between the poles:<br />
111 and 001<br />
111 and 011<br />
111 and 111<br />
Using the wulff of question <strong>10</strong>, we just have to slide the red point such that they are on the same<br />
circle, then we just have to read the results.<br />
a) 55° ( a slide of 45° is needed )<br />
b) 35° ( no slide is needed )<br />
c) 70° ( no slide is needed )<br />
12. At the intersection of the 111 and 011 traces there is a pole.<br />
of what direction is it the projection? Label it on your diagram.<br />
In blue are the two points: 111 and 011 and the red lines are the intersections of the two.<br />
13. At the intersection of the 1<strong>10</strong> and 111 traces there is a pole.<br />
Determine what direction this is a projection of and label it and your diagram.<br />
14. Measure the angle between the poles you have just determined.<br />
We can see on Wulff of exercice 13 that the angle is 35°.
Drawing a Cubic 011 Standard Projection.<br />
On a new piece of tracing paper,<br />
1. Place the 011 normal at the centre of the stereogram and draw the primitive circle.<br />
2. Draw in the <strong>10</strong>0 and <strong>10</strong>0 poles.
3. Draw in the 011 and 011 poles.<br />
4. Draw and label the great circles (traces) of the <strong>10</strong>0 and 011 planes.<br />
5. Draw in the poles corresponding to the following plane normals:<br />
111; 111; 111; 111 (in blue)<br />
6. Draw in the poles corresponding to the following plane normals:<br />
001; and 0<strong>10</strong> (in green)
7. Draw in the poles corresponding to the following plane normals:<br />
111; and111 ( in purple)<br />
111 lies on great circle (diameter) between 011; and<strong>10</strong>0 and on great circle between<br />
001; and<strong>10</strong>0<br />
8. Draw in and label the traces for the planes:<br />
001; and 0<strong>10</strong>
9. The 111; 111; 0<strong>10</strong>; 111, poles all lie on a great circle. Draw it. Label it<br />
plane <strong>10</strong>1,<br />
<strong>10</strong>. Similarly construct the great circle defined by the poles;<br />
111, 001, 111111 ( in blue ) plane 1<strong>10</strong>.<br />
111, 111, 0<strong>10</strong>, 111 ( in black ) plane <strong>10</strong>1.<br />
111, 001, 111, 111 ( in red ) plane 1<strong>10</strong>.<br />
and label them