Final answer:
Drawing crystal planes does not require the planes to contain the choice of origin. The planes are parallel layers within the crystal lattice, and the choice of the unit cell is often for convenience.
Step-by-step explanation:
The question regarding whether the crystal planes should contain the choice of origin when drawing them has a straightforward answer: False. When considering Bragg reflection and the interference patterns produced by X-ray diffraction, the planes are understood to be parallel slices through the crystal lattice, where atoms are spaced at regular intervals. In practice, these planes do not need to include the origin point of the lattice.
Familiarity with the concept of a unit cell helps in understanding this, as a unit cell is the simplest repeating unit in a lattice and can be chosen for convenience without necessarily containing the lattice origin.
When drawing crystal planes, the statement that they should contain the choice of origina is False.
In crystallography, crystal planes are represented by Miller indices, a set of numbers enclosed in parentheses, such as (hkl), where h, k, and l are integers representing the intercepts made by the plane with the crystallographic axes.
The choice of Miller indices does not include the choice of origin. These indices represent the relative positions and orientations of the crystal planes and do not depend on the origin.