Materials Science and Engineering: 2nd year, 2011:  CRYSTALLOGRAPHY 

  Classwork 10: stereographic projections Drawing a Cubic [001] Standard Projection. 1. Place the 001 normal at the centre of the stereogram and draw the primitive circle.

2. Draw in the 010 010 100 and 100 poles.

3. Draw and label the great circles (traces) of the (010) and (100) planes.

4. Draw in the poles corresponding to the following plane normals:

110 110 110 and 110

5. Draw in the poles corresponding to the following plane normals: 101 101 011 and 011

6. Use the Wulff net to measure the angles between the poles:

100 and 010 100 and 101

100 and 110 101 and 011

Using the Wulff net of question 5, we just have to rotate the red point such that they are on the same circle, then we just have to read the results. a) 90° ( no rotation is needed ) b) 45° ( no rotation is needed ) c) 45° ( no rotation is needed ) d) 70° ( a rotation of -45° is needed )

7. Draw in and label the traces for the planes: 110 ; 110 ; 110 ; 110

8. Draw in and label the traces for the planes: 101 ; 101 ; 011 ; 011

9. Plot the normals to the four 111 planes.

10. Plot and label the traces representing the following planes:

111 ; 111 ; 111 ; 111

11. Measure the angles between the poles: 111 and 001 111 and 011 111 and 111

Using the wulff of question 10, we just have to slide the red point such that they are on the same circle, then we just have to read the results.

a) 55° ( a slide of 45° is needed ) b) 35° ( no slide is needed ) c) 70° ( no slide is needed )

12. At the intersection of the 111 and 011 traces there is a pole. of what direction is it the projection? Label it on your diagram. In blue are the two points: 111 and 011 and the red lines are the intersections of the two.

13. At the intersection of the 110 and 111 traces there is a pole.

Determine what direction this is a projection of and label it and your diagram.

14. Measure the angle between the poles you have just determined. We can see on Wulff of exercice 13 that the angle is 35°.

Drawing a Cubic 011 Standard Projection. On a new piece of tracing paper,

1. Place the 011 normal at the centre of the stereogram and draw the primitive circle.

2. Draw in the 100 and 100 poles.

3. Draw in the 011 and 011 poles.

4. Draw and label the great circles (traces) of the 100 and 011 planes.

5. Draw in the poles corresponding to the following plane normals:

111 ; 111 ; 111 ; 111 (in blue)

6. Draw in the poles corresponding to the following plane normals:

001 ; and 010 (in green)

7. Draw in the poles corresponding to the following plane normals: 111 ; and 111 ( in purple)

111 lies on great circle (diameter) between 011 ; and 100 and on great circle between 001 ; and 100

8. Draw in and label the traces for the planes: 001 ; and 010

.

9. The 111 ; 111 ; 010 ; 111 , poles all lie on a great circle. Draw it. Label it

plane 101 , 10. Similarly construct the great circle defined by the poles;

111 , 001 , 111 111 ( in blue ) plane 110 .

111 , 111 , 010 , 111 ( in black ) plane 101 .

111 , 001 , 111 , 111 ( in red ) plane 110 .

and label them