What is the primary reason for the systematic absence of the (100) diffraction peak in the X-ray diffraction (XRD) pattern of a Body-Centered Cubic (BCC) crystal structure?
Question 2
Calculate the angle between the crystallographic directions [110] and [111] in a cubic crystal system.
Question 3
For a single crystal of a BCC metal such as iron, which crystallographic direction is expected to have the highest Young's Modulus (i.e., to be the stiffest), and why?
Question 4
In an ideal cubic perovskite crystal structure with the general formula $ABX_3$, what are the crystallographic positions of the A-site cation, B-site cation, and X-site anions within the unit cell?
Question 5
Calculate the planar density of the (111) plane in a Face-Centered Cubic (FCC) crystal structure, expressed in terms of the atomic radius $r$.
