Point defects

In materials science, point defects refer to localized irregularities in the arrangement of atoms or ions within a crystal lattice structure. These defects can occur naturally during the growth of a crystal, or they can be intentionally introduced through various processes such as irradiation, doping, or mechanical deformation. There are several types of point defects,…

Ionic radii and radius ratio

Ionic radii refers to the size of an ion, which is typically smaller than the size of the corresponding neutral atom due to the gain or loss of one or more electrons. The ionic radius of an ion can be determined by measuring the distance between the nuclei of two ions that are bonded together.…

Nearest neighbours

Nearest neighbors is a machine learning algorithm that is commonly used for classification and regression tasks. It works by finding the training examples in the training set that are closest to a given input example and using those examples to make a prediction. In the context of clustering, nearest neighbors refers to a method of…

Packing in fcc, bcc and hcp lattices

The three most common crystal structures are face-centered cubic (FCC), body-centered cubic (BCC), and hexagonal close-packed (HCP) lattices. The packing in each of these structures is as follows: In terms of packing efficiency, FCC and HCP lattices are more efficient than the BCC lattice. This is because in the FCC and HCP lattices, the atoms…

Close packed structure of solids (Cubic and Hexagonal)

Close-packed structures are arrangements of atoms or ions in a solid that result in the highest possible packing density. The two most common close-packed structures are the cubic close-packed (CCP) structure and the hexagonal close-packed (HCP) structure. In the CCP structure, also known as the face-centered cubic (FCC) structure, each atom or ion is surrounded…

Seven crystal systems (cell parameters a, b, c, α, β, γ)

The seven crystal systems and their corresponding cell parameters are: In each crystal system, the cell parameters describe the dimensions and angles of the unit cell, which is the basic repeating unit of a crystal lattice. The dimensions are given by the three lengths a, b, and c, and the angles between them, α, β,…

Crystalline state

The crystalline state is a state of matter in which the constituent particles, such as atoms, molecules, or ions, are arranged in a highly ordered, repeating three-dimensional pattern called a crystal lattice. In this state, the particles are held together by strong intermolecular forces and exhibit a characteristic set of physical and chemical properties, such…

Classification of solids

Solids can be classified into various types based on different criteria. Here are some common ways of classifying solids: a. Crystalline solids: These are solids in which the atoms/molecules are arranged in a regular and repeating pattern. Examples include diamonds, salt, and metals. b. Amorphous solids: These are solids in which the atoms/molecules are arranged…