Reciprocal Space and Bragg Condition

This lecture delves into the application of complex numbers in the context of reciprocal space and the Bragg condition for X-rays interacting with crystal lattices. It covers the interference of plane waves, the formation of reciprocal lattice, and the conditions for constructive interference. The matrix formalism in changing basis and manipulating vectors is explored, emphasizing the importance of linear algebra for engineers. The lecture concludes with a summary of complex numbers, their algebraic and polar forms, and their graphical representation, showcasing their utility in handling wave propagation. Next week's topic will be Linear Algebra.