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.…

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…

Enzyme catalysis and Its mechanism

Enzymes are biological catalysts that speed up the rate of chemical reactions in living organisms. Enzymes are highly specific, meaning that they catalyze only one or a few types of chemical reactions. The mechanism by which enzymes catalyze chemical reactions is through a process called enzyme catalysis. Enzyme catalysis involves several steps: The mechanism by…

Activity and selectivity of solid catalysts

Solid catalysts are materials that accelerate chemical reactions by providing a surface for reactant molecules to adsorb onto and react. The activity of a solid catalyst is a measure of how effectively it can promote a particular chemical reaction, while selectivity refers to its ability to selectively form a desired product and minimize the formation…

Catalysis : Homogeneous and heterogeneous

Catalysis refers to the process in which a catalyst increases the rate of a chemical reaction by providing an alternative pathway with lower activation energy. There are two types of catalysis: homogeneous catalysis and heterogeneous catalysis. Homogeneous catalysis involves a catalyst that is in the same phase (i.e., gas, liquid, or solid) as the reactants.…

Temperature dependence of rate constant (Arrhenius equation and activation energy)

The temperature dependence of a chemical reaction’s rate constant can be described by the Arrhenius equation, which relates the rate constant to the temperature and the activation energy of the reaction: k = A * exp(-Ea/RT) where k is the rate constant, A is the pre-exponential factor or frequency factor, Ea is the activation energy,…

Differential and integrated rate expressions for zero and first order reactions

The rate of a chemical reaction is the change in the concentration of reactants or products per unit time. The rate law for a chemical reaction describes how the rate of the reaction depends on the concentrations of the reactants. There are different rate laws for different types of reactions, but two common types are…

Half-life

In physics, half-life refers to the time it takes for half of the atoms in a particular sample of a radioactive substance to decay. This decay process is random and unpredictable, so the half-life of a substance cannot be predicted with certainty. However, for any given substance, the half-life is a constant value, meaning that…