Estudo de estruturas cristalinas via geometria analítica e álgebra linear

Abstract

This work approaches the crystalline structures, focusing on the crystalline lattice. This type of structure is extremely important for technological development, and is present in many materials. Although his study focuses on the areas of physics and chemistry, it requires a very wide mathematical tooling for its comprehension. Thus, based on the studies of Linear Algebra and Analytical Geometry, this work aims to make a mathematical transition of the main concepts found in the study of crystals. In parallel to the study and mathematical transitions, dynamic constructions have been developed só that the reader can study and better understand these concepts. Such constructions were elaborated through GeoGebra software and will be shared through a link.