Examine the apparent symmetry plane vectors to the diffraction spots are the momentum transfer

Use the book attached in the following link and any other relevant
source to answer the following questions. https://drive.google.com/file/
d/1-kN9QMjGsyeQXoBXHLt8kP9IwC1oswz-/view?usp=sharing

5. Examine figure 2.57 in Brandon & Kaplan which shows a TEM diffraction
pattern from a single grain of -Fe (BCC Fe). Examine the apparent symmetry Fe (BCC Fe). Examine the apparent symmetryα-Fe (BCC Fe). Examine the apparent symmetry
of the pattern (note spot diam is used to indicate the intensity of the diffracted
beams) – what is the zone axis for this pattern? (hint:the diffraction pattern
MUST reflect AT LEAST the symmetry of the real crystal along that direction
but could appear to be higher symmetry. Index the pattern, remembering the
following rules:

a. The zone axis (vector that the e-Fe (BCC Fe). Examine the apparent symmetry beam is travelling along) points straight out
of the page and is centered in the center of the pattern

b. The in-Fe (BCC Fe). Examine the apparent symmetry plane vectors to the diffraction spots are the momentum transfer
vectors and reciprocal lattice vectors ∆k=G. Since the zone axis is normal to
the page and all the G vectors are in plane, the dot products of G*zone axis
vector must be zero.

c. The radius from pattern center to each spot is the magnitude of the G
vector times a scale factor. So you can take ratios of these radii and invert
them to get the ratios of d-Fe (BCC Fe). Examine the apparent symmetry spacings in real space. The d-Fe (BCC Fe). Examine the apparent symmetry spacing as function of
hkl for a cubic crystal is equation 2.38 in B&K book.

6. Briefly explain the origins of Kikuchi lines (see chapter 2 near end for

discussion in context of a TEM diffraction pattern. Also read sections 5.6.4-Fe (BCC Fe). Examine the apparent symmetry
5.6.6. What changes in the discussion for the OIM / EBSD context as opposed
to TEM context?