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Titlebook: Crystallography; Introduction to the Celia Marcos Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license t

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Relationship Between Symmetry and Physical Propertiesction in which they are measured. In certain cases, the value of a certain property is constant for all directions of the crystal; therefore, isotropic and anisotropic crystals will be differentiated. It will be shown that the properties can be represented by tensors, scalars being those of range 0.
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Interaction of Electromagnetic Waves with Crystals and Mineralsnship between the different units used for their description is shown. The characteristics of visible light propagation as a wave movement are established. From one of the solutions of this equation, that of a plane sine wave and the temporal evolution of the electric field in the plane perpendicula
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Representation Surfaces of Optical Properties of Crystalss and minerals, since the ellipsoid of the indexes will be key in understanding not only variation of the refraction index according to the direction but also propagation of light in the crystals. In the case of opaque crystals and minerals, the indicatrix surface of reflectance is described; reflec
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Optical Properties of Transparent Crystals and Mineralsment with polarized light and analyzed polarized light (cross-polarizers) and with conoscopic illumination. The concept of optical activity is defined, and the dispersion in crystals that present it is described through the colors and figures of interference.
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Optical Properties of Opaque Crystalsement with polarized light and analyzed polarized light (cross-polarizers) and with conoscopic light. The dispersion of the reflectance and its relation with the color in reflection is described. In the case of anisotropic crystalline sections, the different dispersion of both reflectances and their
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Population Growth and Technological Changerameters, and fundamental translations). The idea that the lattice has an infinite extension and the cell is the smallest space of the lattice limited by the fundamental translations is emphasized, which allows us to describe the symmetry or the atomic content of a crystal. Bearing in mind that a di
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The Root Causes of Environmental Problemsthe study of the faces of a crystal, its geometrical and symmetrical relations were deduced by the laws of classical crystallography, and they are presented. The representation of the symmetry and faces of a crystal through a projection is described. It starts with the three-dimensional projection o
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