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Population balance equation. Population balance equations (PBEs) have been introduced in several branches of modern science, mainly in Chemical Engineering, [1] to describe the evolution of a population of particles. This includes topics like crystallization, [2] leaching (metallurgy), [3] [4] liquid–liquid extraction, gas-liquid dispersions ...
Electron density or electronic density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point. It is a scalar quantity depending upon three spatial variables and is typically denoted as either or . The density is determined, through definition, by the normalised -electron ...
Perfluorooctanoic acid ( PFOA; conjugate base perfluorooctanoate; also known colloquially as C8, for its 8-carbon chain structure) is a perfluorinated carboxylic acid produced and used worldwide as an industrial surfactant in chemical processes and as a material feedstock. PFOA is considered a surfactant, or fluorosurfactant, due to its ...
In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms.
Computational chemistry can help predict values like activation energy from catalysis. The presence of the catalyst opens a different reaction pathway (shown in red) with lower activation energy. The final result and the overall thermodynamics are the same. Computational chemistry is a tool for analyzing catalytic systems without doing experiments.
Mathematics. In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity to the linear algebra of bilinear forms . Two elements u and v of a vector space with bilinear form are orthogonal when . Depending on the bilinear form, the vector space may contain non-zero self-orthogonal vectors.
Population pyramid of Chicago in 2021. Population. 2,665,039 (2022 est.) [ 1] The demographics of Chicago show that it is a large, and ethnically and culturally diverse metropolis. It is the third largest city and metropolitan area in the United States by population. Chicago was home to over 2.7 million people in 2020, accounting for over 25% ...
Ternary plot. A ternary plot, ternary graph, triangle plot, simplex plot, or Gibbs triangle is a barycentric plot on three variables which sum to a constant. [1] It graphically depicts the ratios of the three variables as positions in an equilateral triangle. It is used in physical chemistry, petrology, mineralogy, metallurgy, and other ...