Learning how to use numerical and computational tools to describe crystalline matter exausthively with the relevant properties including handling and recognition of existing symmetry operations, especially from conceptual point of view. The basic of vector analysis approach will be considered. It will be made the concept of convolution and Fourier Transform especially in view of applications to periodical phenomena, such as the electron density derived from repetition of atoms molecules and ionic groups, throughout the trigonometric relationships according to Fourier (Transforms). One should be able to understand the the matching betwee real space and reciprocal space. The Fourier transform concept is also applied in spectroscopy.
In this case we will examine the principles governing interaction between electromagnetic radiation and matter in event such as absorption and emission. The whole electromagnetic spectrum will be examined to cover the electronic structure. We will consider frequencies typical of the radio fields, microwaves, near, medium and far Infrared, visible light, ultraviolet, soft x-rays, hard x-rays and gamma.