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  2. Displacement (geometry) - Wikipedia

    en.wikipedia.org/wiki/Displacement_(geometry)

    In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. [1] It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory.

  3. Multifractal system - Wikipedia

    en.wikipedia.org/wiki/Multifractal_system

    In a multifractal system , the behavior around any point is described by a local power law: (+) ().The exponent () is called the singularity exponent, as it describes the local degree of singularity or regularity around the point .

  4. Displacement - Wikipedia

    en.wikipedia.org/wiki/Displacement

    Displacement (geometry), is the difference between the final and initial position of a point trajectory (for instance, the center of mass of a moving object).The actual path covered to reach the final position is irrelevant.

  5. Pauling's rules - Wikipedia

    en.wikipedia.org/wiki/Pauling's_rules

    For typical ionic solids, the cations are smaller than the anions, and each cation is surrounded by coordinated anions which form a polyhedron.The sum of the ionic radii determines the cation-anion distance, while the cation-anion radius ratio + / (or /) determines the coordination number (C.N.) of the cation, as well as the shape of the coordinated polyhedron of anions.

  6. Rheometer - Wikipedia

    en.wikipedia.org/wiki/Rheometer

    The device works by attaching a linear probe to the surface of the tissue under test, a controlled cyclical force is applied, and the resultant shear force measured using a load cell. Displacement is measured using a Linear variable differential transformer (LVDT). Thus the basic stress–strain parameters are captured and analysed to derive ...

  7. Displacement field (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Displacement_field_(mechanics)

    A displacement field is a vector field of all displacement vectors for all particles in the body, which relates the deformed configuration with the undeformed configuration. The distance between any two particles changes if and only if deformation has occurred. If displacement occurs without deformation, then it is a rigid-body displacement.

  8. VSEPR theory - Wikipedia

    en.wikipedia.org/wiki/VSEPR_theory

    The lone pairs on transition metal atoms are usually stereochemically inactive, meaning that their presence does not change the molecular geometry. For example, the hexaaquo complexes M(H 2 O) 6 are all octahedral for M = V 3+ , Mn 3+ , Co 3+ , Ni 2+ and Zn 2+ , despite the fact that the electronic configurations of the central metal ion are d ...

  9. Glossary of chemistry terms - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_chemistry_terms

    Also acid ionization constant or acidity constant. A quantitative measure of the strength of an acid in solution expressed as an equilibrium constant for a chemical dissociation reaction in the context of acid-base reactions. It is often given as its base-10 cologarithm, p K a. acid–base extraction A chemical reaction in which chemical species are separated from other acids and bases. acid ...