If the angular velocity of a body changes from an initial value ωi to a final value ωf, average angular acceleration, α, can be defined for the time interval Δt = tf - ti:
The instantaneous angular acceleration, α, is the limit of the average angular acceleration, as Δt is made to approach zero:
SI unit for angular acceleration is s-2.
Atoms and molecules have no strict boundaries. The volume of a free atom is usually defined as that volume that contains 90 % of electron cloud. The radius of an atom represents half of interatom distance of two identical atoms which are in touch but are not interconnected either by a covalent or an ionic bond, but with a very weak van der Waals’s bond.
Colloids are systems in which there are two or more phases, with one (the dispersed phase) distributed in the other (the continuous phase). Moreover, at least one of the phases has small dimensions, in the range between 1 nm and 1 μm (10-9 m – 10-6 m). Dimension, rather than the nature of the material, is characteristic. In this size range, the surface area of the particle is large with respect to its volume so that unusual phenomena occur, e.g., the particles do not settle out of the suspension by gravity and are small enough to pass through filter membranes. Macromolecules (proteins and other high polymers) are at the lower limit of this range; the upper limit is usually taken to be the point at which the particles can be resolved in an optical microscope.
Colloidal particles may be gaseous, liquid, or solid, and occur in various types of suspensions:
Sols - dispersions of small solid particles in a liquid.
Emulsions - colloidal systems in which the dispersed and continuous phases are both liquids.
Gels - colloids in which both dispersed and continuous phases have a three-dimensional network throughout the material.
Aerosols - colloidal dispersions of liquid or solid particles in a gas.
Foams - dispersions of gases in liquids or solids.
System is the region under consideration, as distinguished from the rest of the universe (the environment). Systems may be separated from environments by boundaries that prevent the transfer of mass (a closed system), of heat (an adiabatic system), or of any energy (an isolated system). Systems that exchange mass with the environment are open systems.
A point-like object that undergoes circular motion changes its angular position from initial Θi to final Θf, relative to a fixed axis, specified in a coordinate system with an origin that coincides the centre of the circular path of object. The change in its angular position is called angular displacement ΔΘ = Θf - Θi. Also, a rigid body that rotates about a specified rotation axis, changing its angular position from initial Θi to final Θf, undergoes an angular displacement ΔΘ.
The average angular velocity, ωav, is the ratio of the angular displacement and the time interval Δt=tf-ti, in which that displacement occurs.
Θf and Θi are the initial and final angular position, respectively.
The instantaneous angular velocity ω is the limit of the average angular velocity, as Δt is made to approach zero.
ωav and ω are positive for the counterclockwise rotation (in direction of increasing Θ) and negative for the clockwise rotation (in direction of decreasing Θ).
SI unit for angular velocity is s-1.The measure for the angle Θ is radian. The relationship between radians and degrees is:
For example, the angular velocity of the minute hand of a clock is:
Zeta potential (ζ) is the potential across the interface of all solids and liquids. Specifically, the potential across the diffuse layer of ions surrounding a charged colloidal particle, which is largely responsible for colloidal stability. Also called electrokinetic potential.
Distilled water is water purified by distillation so as to free it from dissolved salts and other compounds. Distilled water in equilibrium with the carbon dioxide in the air has conductivity of about 0.8×10-6 S cm-1. Repeated distillation in vacuum can bring conductivity down to 0.043×10-6 S cm-1 at 18 °C. The limiting conductivity is due to self ionisation
Hooke’s law stating that the deformation of a body is proportional to the magnitude of the deforming force, provided that the body’s elastic limit (see elasticity) is not exceeded. If the elastic limit is not reached, the body will return to its original size once the force is removed. The law was discovered by English physicist Robert Hooke in 1676.
If a body on elastic spring is displaced from its equilibrium position (i.e. if the spring is stretched or compressed), a restitution force tries to return the body back in its equilibrium position. The magnitude of that force is proportional to the displacement of the body
Where F is the restitutional (elastic) force, x is the displacement of the body and k is the spring constant, which depends on dimensions, shape and material of the spring.
Ilkovic equation is a relation used in polarography relating the diffusion current (id) and the concentration of the depolarizer (c), which is the substance reduced or oxidized at the dropping mercury electrode. The Ilkovic equation has the form
Where k is a constant which includes Faraday constant, π and the density of mercury, and has been evaluated at 708 for max current and 607 for average current, D is the diffusion coefficient of the depolarizer in the medium (cm2/s), n is the number of electrons exchanged in the electrode reaction, m is the mass flow rate of Hg through the capillary (mg/sec), and t is the drop lifetime in seconds, and c is depolarizer concentration in mol/cm3.
The equation is named after the scientist who derived it, the Slovak chemist, Dionýz Ilkovič 1907-1980).
Microscope is an instrument that produces enlarged images of small objects. The optical microscopes (light microscope) use visible light and a system of lenses to magnify images. Typical magnification of a light microscope is up to 1500× ("1500 times")with a theoretical resolution limit of around 200 nm. Instead of using light, electron microscopes transmit a beam of electrons through, or onto the surface of, a specimen. An electron beam has a much shorter wavelength than does light, and can reveal structures as small as 2 nm.
Generalic, Eni. "Granica detekcije." Croatian-English Chemistry Dictionary & Glossary. 29 June 2022. KTF-Split. {Date of access}. <https://glossary.periodni.com>.
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