13.
If then and perpendicular to (hkl) plane Proof: H • ( a 1 /h- a 2 /k) = H • ( a 1 /h- a 3 /l)=0 a 1 /h• H /| H |=[1/h 0 0] • [hkl]*/| H |=1/| H |=d hkl H a 1 a 2 a 3
50.
Twin band in FCC lattice, Plane of main drawing is (1 ī 0)
51.
Homework assignment Problem 2-6 Problem 2-8 Problem 2-9 Problem 2-10
52.
Stereographic projection *Any plane passing the center of the reference sphere intersects the sphere in a trace called great circle * A plane can be represented by its great circle or pole, which is the intersection of its plane normal with the reference sphere
55.
Pole on upper sphere can also be projected to the horizontal (equatorial) plane
56.
Projections of the two ends of a line or plane normal on the equatorial plane are symmetrical with respect to the center O.
57.
Projections of the two ends of a line or plane normal on the equatorial plane are symmetrical with respect to the center O. U L P P’ P P’ X O O
58.
<ul><li>A great circle representing a plane is divided to two half circles, one in upper reference sphere, the other in lower sphere </li></ul><ul><li>Each half circle is projected as a trace on the equatorial plane </li></ul><ul><li>The two traces are symmetrical with respect to their associated common diameter </li></ul>
60.
The position of pole P can be defined by two angles and
61.
The position of projection P’ can be obtained by r = R tan( /2)
62.
The trace of each semi-great circle hinged along NS projects on WNES plane as a meridian
63.
As the semi-great circle swings along NS, the end point of each radius draws on the upper sphere a curve which projects on WNES plane as a parallel
64.
The weaving of meridians and parallels makes the Wulff net
65.
Two projected poles can always be rotated along the net normal to a same meridian (not parallel) such that their intersecting angle can be counted from the net
69.
If P2’ is the projection of a zone axis, then all poles of the corresponding zone planes lie on the trace of P2’
70.
Rotation of a poles about NS axis by a fixed angle: the corresponding poles moving along a parallel *Pole A1 move to pole A2 *Pole B1 moves 40 ° to the net end then another 20 ° along the same parallel to B1’ corresponding to a movement on the lower half reference sphere, pole corresponding to B1’ on upper half sphere is B2
71.
m: mirror plane F1: face 1 F2: face 2 N1: normal of F1 N2: normal of N2 N1, N2 lie on a plane which is 丄 to m
73.
A plane not passing through the center of the reference sphere intersects the sphere on a small circle which also projects as a circle, but the center of the former circle does not project as the center of the latter.
75.
Rotation of a pole A1 along an inclined axis B1: B1 B3 B2 B2 B3 B1 A1 A1 A2 A3 A4 A4 A plane not passing through the center of the reference sphere intersects the sphere on a small circle which also projects as a circle .
76.
Rotation of a pole A1 along an inclined axis B1:
77.
A 1 rotate about B 1 forming a small circle in the reference sphere, the small circle projects along A 1 , A 4 , D, arc A 1 , A 4 , D centers around C (not B 1 ) in the projection plane
Be the first to comment