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Reaction rate equals rate of transport
Diffusion-controlled (or diffusion-limited) reactions are reactions in which the reaction rate is equal to the rate of transport of the reactants through
Diffusion-controlled_reaction
Type of mathematical model
Reaction–diffusion systems are mathematical models that correspond to several physical phenomena. The most common is the change in space and time of the
Reaction–diffusion_system
Enzyme rate limited by diffusion
difficult reactions, and the evolutionary limitations that such high reaction rates do not confer any extra fitness. The theory of diffusion-controlled reaction
Diffusion-limited_enzyme
Uruguayan biochemist and biomedical scientist
peroxynitrite, a potent oxidant and nucleophile formed secondary to the diffusion-controlled reaction of nitric oxide with superoxide radicals together with Joe S
Rafael_Radi
Chemical compound
has a pKa of approximately 6.8. It is formed in vivo from the diffusion-controlled reaction of nitrogen monoxide (ON•) and superoxide (O•− 2). It is an
Peroxynitrous_acid
Combination of the diffusion and convection (advection) equations
The convection–diffusion equation is a parabolic partial differential equation that combines the diffusion and convection (advection) equations. It describes
Convection–diffusion_equation
Speed at which a chemical reaction takes place
atmospheric (0.1 MPa) to 50 MPa (which gives ΔV ‡ = −0.025 L/mol). Diffusion-controlled reaction Dilution (equation) Isothermal microcalorimetry Rate of solution
Reaction_rate
Substances which prevent monomers from self-polymerizing
referred to as air-inhibition or oxygen-inhibition, it is a diffusion-controlled reaction with rates typically in the order of 107–109 mol−1 s−1, the
Polymerisation_inhibitor
Mathematical descriptions of molecular diffusion
Fick's laws of diffusion describe diffusion and were first posited by Adolf Fick in 1855 on the basis of largely experimental results. They can be used
Fick's_laws_of_diffusion
Japanese polymer physicist
In 1976, he introduced a second quantised formalism for studying reaction-diffusion systems. In 1978 and 1979 he wrote a series of papers with Sir Sam
Masao_Doi
Reactions involving the adsorption of at least a reactant onto a surface
physisorbed molecule is in thermal equilibrium with the surface. Diffusion-controlled reaction Hot atom Wintterlin, J.; Völkening, S.; Janssens, T. V. W.;
Reactions_on_surfaces
Autoprotolysis or exchange of a proton between two water molecules
rate is characteristic of a diffusion-controlled reaction, in which the rate is limited by the speed of molecular diffusion. Water molecules dissociate
Self-ionization_of_water
State of matter
reaction solvent can allow separation of phases for product removal, or single phase for reaction. Rapid diffusion accelerates diffusion controlled reactions
Supercritical_fluid
Chemical treatment procedures
virtually any compound present in the water matrix, often at a diffusion-controlled reaction speed. Consequently, ·OH reacts unselectively once formed and
Advanced_oxidation_process
Old method of enriching uranium
Gaseous diffusion is a technology that was used to produce enriched uranium by forcing gaseous uranium hexafluoride (UF6) through microporous membranes
Gaseous_diffusion
Study of processing speed on cognitive tasks
residual stage and a stochastic "diffusion" stage, where the actual response decision is generated. The distribution of reaction times across trials is determined
Mental_chronometry
the reaction zone, in which case, reaction zone separates a frozen flow region from a near-equilibrium region, Near-equilibrium diffusion-controlled regime
Liñán's diffusion flame theory
Liñán's_diffusion_flame_theory
Transport of dissolved species from the highest to the lowest concentration region
Diffusion is the net movement of anything (for example, atoms, ions, molecules, energy) generally from a region of higher concentration to a region of
Diffusion
Model in combustion
controlled by rate of mixing. Such cases, where formation of pre-mixture is difficult, are called diffusion combustion or diffusion flames. Diffusion
Eddy_break-up_model
Analytical method in electrochemistry
analyte in mol/cm3; D is the diffusion coefficient for species in cm2/s; t is the time in seconds. Under controlled-diffusion circumstances, the current-time
Chronoamperometry
Class of enzymes
the rate for short chain fatty acids is equivalent to that of diffusion-controlled reactions. ECH catalyzes the second step (hydration) in the breakdown
Enoyl-CoA_hydratase
(only a baseline and one point are needed). Diffusion control offers another advantage. Changing the diffusion barrier allows the sensor manufacturer to
Electrochemical_gas_sensor
Theory on how and why new ideas spread
Diffusion of innovations is a theory that seeks to explain how, why, and at what rate new ideas and technology spread. The theory was popularized by Everett
Diffusion_of_innovations
Class of precipitation reactions in gels
Hantz reactions are a class of pattern-forming precipitation reactions in gels implementing a reaction–diffusion system. The precipitation patterns are
Hantz_reactions
Physical phenomenon
The diffusion of plasma across a magnetic field was conjectured to follow the Bohm diffusion scaling as indicated from the early plasma experiments of
Bohm_diffusion
Key reliability issue in MOSFETs
insight into trap generation and does not account for recovery. The reaction–diffusion (RD) model is more computationally intensive but provides improved
Negative-bias temperature instability
Negative-bias_temperature_instability
Behavior of molecules in solvent as encapsulated particles
Treatment of Chemical Kinetics with Special Applicability to Diffusion Controlled Reactions". J. Chem. Phys. 22 (8): 1349–1359. Bibcode:1954JChPh..22.1349N
Cage_effect
Mathematical modeling of chemical processes
conditions. Modeling of a chemical reaction involves solving conservation equations describing convection, diffusion, and reaction source for each component species
Chemical_reaction_model
Equation that describes density changes of a material that is diffusing in a medium
solutions Reaction-diffusion equation Fokker–Planck equation Fick's laws of diffusion Maxwell–Stefan equation Radiative transfer equation and diffusion theory
Diffusion_equation
Heat treatment that alters the properties of a material
can be described as three distinct events: the reaction at the steel surface, the interstitial diffusion of carbon atoms and the dissolution of carbides
Annealing_(materials_science)
Equivalent circuit for an electrochemical reaction
the faradaic reaction is in parallel with Cdl. The key assumption is that the rate of the faradaic reaction is controlled by diffusion of the reactants
Randles_circuit
Chinese-American biophysicist
its substrate, reported that the upper limit of diffusion-controlled reaction of enzyme or diffusion limited enzyme is one order of magnitude higher than
Kuo-Chen_Chou
Type of microbiology test
The disk diffusion test (also known as the agar diffusion test, Kirby–Bauer test, disc-diffusion antibiotic susceptibility test, disc-diffusion antibiotic
Disk_diffusion_test
Unconventional computer based on a semi-solid chemical "soup"
A chemical computer, also called a reaction-diffusion computer, Belousov–Zhabotinsky (BZ) computer, or gooware computer, is an unconventional computer
Chemical_computer
Gradual destruction of materials by chemical reaction with its environment
or less uniformly corroding the surface. Because corrosion is a diffusion-controlled process, it occurs on exposed surfaces. As a result, methods to reduce
Corrosion
Study of how patterns form by self-organization in nature
called "KPT reaction". Reaction produced reaction–diffusion style patterns based on the supplied seed image. A similar effect to the KPT reaction can be achieved
Pattern_formation
Manhattan Project codename for a program to produce enriched uranium
program to produce enriched uranium for atomic bombs using the gaseous diffusion method. Originally the codename for the product, over time it came to
K-25
Chemistry principle
is now controlled by diffusion or Brownian motion of individual molecules. The flux of the diffusive molecules follows Fick's laws of diffusion. For particles
Collision_theory
Process that leads to chemical changes
Reactions can take place between two solids. However, because of the relatively small diffusion rates in solids, the corresponding chemical reactions
Chemical_reaction
Electricity generation by nuclear fusion
magnetically controlled because the charges are separated. This is used by several fusion devices to confine the hot particles. A reaction's cross section
Fusion_power
Component of stress coplanar with a material cross section
diffusion boundary layer, in which the fast electro-diffusion reaction rate is controlled only by diffusion. The resolution of the convective-diffusive equation
Shear_stress
Runaway polymerization reaction
1989. 28. Chekal, Brian P. Understanding the Roles of Chemically-Controlled and Diffusion-Limited Processes in Determining the Severity of Autoacceleration
Autoacceleration
Constant speed wavetrain
equations, including self-oscillatory systems, excitable systems and reaction–diffusion–advection systems. Equations of these types are widely used as mathematical
Periodic_travelling_wave
Chemical reaction damaging concrete
the reaction front is there essentially limited by the CO2 diffusion within the concrete matrix less porous. The soda lime carbonatation reaction can
Alkali–silica_reaction
Combustion that leads on to an explosion
upon confinement and other factors. Most fires found in daily life are diffusion flames. Deflagrations with flame speeds in the range of 1 m/s differ from
Deflagration
Chemical reaction between a fuel and oxygen
through one of four distinctive types of burning: diffusion flame, premixed flame, autoignitive reaction front, or as a detonation. The type of burning that
Combustion
Method of analyzing electrochemical reactions
electrolyte also minimises the effect of migration-controlled and ensures that the reaction is diffusion-controlled. A voltammogram (see linear sweep voltammetry)
Voltammetry
Relation between chemical reaction rate and concentrations of the reactants
laws of diffusion and is consistent with fractal reaction kinetics, which yield fractional reaction orders. The rate equation of a reaction with an assumed
Rate_equation
Relocation of an electron from an atom or molecule to another
which electrons are transferred in redox reactions. Electrochemical processes are ET reactions. ET reactions are relevant to photosynthesis and respiration
Electron_transfer
Field of physics dealing with nuclear reactors
chain reaction to induce a controlled rate of fission in a nuclear reactor for the production of energy. Most nuclear reactors use a chain reaction to induce
Nuclear_reactor_physics
Formula for temperature dependence of rates of chemical reactions
variation of diffusion coefficients, population of crystal vacancies, creep rates, and many other thermally induced processes and reactions.[citation needed]
Arrhenius_equation
"Arsenic immobilization as crystalline scorodite by gas-diffusion electrocrystallization". Reaction Chemistry and Engineering. 5 (6): 1118–1128. doi:10.1039/D0RE00054J
Gas-diffusion electrocrystallization
Gas-diffusion_electrocrystallization
Minimum energy required for a chemical reaction
Rishi (1990). "Estimate of the Activation Energies for Boundary Diffusion from Rate-Controlled Sintering of Pure Alumina, and Alumina Doped with Zirconia or
Activation_energy
Industrial process for ammonia production
layer to the surface of the catalyst. pore diffusion to the reaction center adsorption of reactants reaction desorption of product transport of the product
Haber_process
Method of analyzing electrochemical reactions
the rate determining step of this electrochemical redox reaction can be assigned to diffusion. Many redox processes observed by CV are quasi-reversible
Cyclic_voltammetry
Class of enzymes
hydrophobic channel contained within the enzyme. This facilitates the diffusion of indole formed at α active sites directly to β active sites in a process
Tryptophan_synthase
Experimental technique to study kinetics
is controlled only by Knudsen diffusion with a reactive gas response which is controlled by diffusion as well as adsorption and chemical reactions on
Temporal_analysis_of_products
Working electrode used in hydrodynamic voltammetry
conditions in which the steady-state current is controlled by the solution flow rather than diffusion. This is a contrast to still and unstirred experiments
Rotating_disk_electrode
Ion layer gas reaction (ILGAR®) is a non-vacuum, thin-film deposition technique developed and patented by the group of Professor Dr. Christian-Herbert
Ion_layer_gas_reaction
in continuous space, simulating molecular diffusion, molecule-membrane interactions and chemical reactions. The following list compares the features for
List of systems biology modeling software
List_of_systems_biology_modeling_software
Electrodes with a conjunction of a solid, liquid and gaseous interface
Gas diffusion electrodes (GDE) are electrodes with a conjunction of a solid, liquid and gaseous interface, and an electrical conducting catalyst supporting
Gas_diffusion_electrode
Rapid and hot oxidation of a material
heat, light, and various reaction products. Flames, the most visible portion of the fire, are produced in the combustion reaction when the fuel reaches its
Fire
Activity of an organism in response to a stimuli
is measured by the local reproduction coefficient then the minimal reaction-diffusion model of kinesis can be written as follows: For each population in
Kinesis_(biology)
Process by which small crystals dissolve in solution for the benefit of larger crystals
radius, and r < R {\displaystyle r<R} . Inferring from Fick's first law of diffusion, the particles will move from big concentrations, corresponding to areas
Ostwald_ripening
Study of the rates of chemical reactions
described by Fick's laws of diffusion and is consistent with fractal reaction kinetics, which yield fractional reaction orders. Temperature usually has
Chemical_kinetics
Technique used in semiconductor production
subsequent annealing step for the incorporation and diffusion of dopants. The monolayer formation reaction is self-limiting, thereby resulting in the deterministic
Monolayer_doping
Chemical reaction whose product is also its catalyst
Catalytic cycle Reaction–diffusion system Morphogenesis The International Union of Pure and Applied Chemistry (IUPAC). "Autocatalytic reaction (A00525)". goldbook
Autocatalysis
Law about the rate of chemical reactions
applied his theory of absolute reaction rates to this quasichemical representation of diffusion. Mass action law for diffusion leads to various nonlinear
Law_of_mass_action
Chemical mechanism of spontaneous passivation
surface is created. In order to reach chemical equilibrium, the process of diffusion will take place which will increase any measurement of the work of separation
Metal_oxide_adhesion
Numerical analysis method
origin. On the other hand, if controlled anisotropic effects are a desired feature, when solving anisotropic diffusion problems for example, it is also
Nine-point_stencil
Flame with temperature below about 400 °C
disappearance of peroxy radicals required for the above glow reactions. Self-sustained, stable cool diffusion flames have been established by adding ozone into oxidizer
Cool_flame
advanced software platform for modeling and simulating reaction kinetics, membrane transport and diffusion in the complex geometries of cells and multicellular
VCell
Thin-film deposition technique that deposits one 1-atom thick layer at a time
process; it is a subclass of chemical vapour deposition. The majority of ALD reactions use two chemicals called precursors (also called "reactants"). These precursors
Atomic_layer_deposition
Slowest step of a chemical reaction
In chemical kinetics, the overall rate of a reaction is often approximately determined by the slowest step, known as the rate-determining step (RDS or
Rate-determining_step
Type of fuel cell
leaking into the reactant gas flow channels and ensures diffusion of the gases to the reaction site. The two layers are then pressed onto a conducting
Alkaline_fuel_cell
Method to measure individual sensitivity
Ratcliff, R.; T. Van Zandt, G. McKoon (1999). "Connectionist and diffusion models of reaction time". Psychological Review. 106 (2): 261–300. doi:10.1037/0033-295x
Two-alternative_forced_choice
Combustion models of fuel reactions and energy release for computational fluid dynamics
when finite rate kinetically controlled reaction is to be simulated. In such situation while deciding the rate of the reaction the Arrhenius kinetic rate
Combustion_models_for_CFD
Exchange of mass, energy, and momentum between observed and studied systems
diffusion) Forced diffusion occurs because of the action of some external force Diffusion can be caused by temperature gradients (thermal diffusion)
Transport_phenomena
Instrumental chemical analysis
points with reagents and react. The reaction time is controlled by a pump and reaction coil. The reaction product then flows through a detector. Most often
Flow_injection_analysis
Reaction that splits an atomic nucleus
apart. This makes a self-sustaining nuclear chain reaction possible, releasing energy at a controlled rate in a nuclear reactor or at a very rapid, uncontrolled
Nuclear_fission
involved in the reaction, F is the Faraday constant (96 485 C eq−1), a is the radius of the electroactive surface, D is the diffusion coefficient of the
Ultramicroelectrode
Oxidation and impurities in the metal films affect the diffusion reactions by reducing the diffusion rates. Therefore, clean deposition practices and bonding
Thermocompression_bonding
Biological process to convert light into chemical energy
integral Hill reaction Integrated fluorometer Light-dependent reaction Organic reaction Photobiology Photoinhibition Photosynthetic reaction center Photosynthetically
Photosynthesis
World War II Allied nuclear weapons program
problems of neutron diffusion—how neutrons moved in a nuclear chain reaction—and hydrodynamics—how the explosion produced by a chain reaction might behave.
Manhattan_Project
Solution used in microfabrication
creation of larger pores, to improve the characteristically poor rate of diffusion in these microporous structures. Simple HF solutions (and other acidic
Buffered_oxide_etch
Method of chemical analysis
atmosphere or be remotely controlled e.g. with radioactive substances. Complete automation is simpler. The Karl Fischer reaction uses a coulometric titration
Coulometry
Chemical reaction run in a continuous stream
created and then injected into a high-pressure flow reactor. Diffusion of the segment (reaction mixture) is minimized by using immiscible solvent on the leading
Flow_chemistry
Method of chemical analysis
voltammetry techniques, the solution is intentionally left still to allow diffusion-controlled mass transfer. When a solution is made to flow, through stirring
Hydrodynamic_voltammetry
Isotope of hydrogen with two neutrons
nuclear reactors by neutron activation of lithium-6. The release and diffusion of tritium and helium produced by the fission of lithium can take place
Tritium
Pattern formation of bacteria colony shapes
conditions. [6] These different morphologies can be obtained from a reaction-diffusion model. This kind of model is useful to assess which mechanisms are
Bacterial_patterns
Power generation technology
assemblies (MEA) which include the electrodes, electrolyte, catalyst, and gas diffusion layers. An ink of catalyst, carbon, and electrode are sprayed or painted
Proton-exchange membrane fuel cell
Proton-exchange_membrane_fuel_cell
Plate-like microstructure in steels
accepted by some that formation of Widmanstätten ferrite is controlled by carbon diffusion and do show a similar surface relief. Typically bainite manifests
Bainite
Film infiltration
functional groups. After a suitable diffusion/reaction time, the reactor is purged with inert gas or evacuated to remove reaction byproducts and UN-reacted precursors
Sequential infiltration synthesis
Sequential_infiltration_synthesis
Type of statistical analysis
quantitative information such as diffusion coefficients hydrodynamic radii average concentrations kinetic chemical reaction rates singlet-triplet dynamics
Fluorescence correlation spectroscopy
Fluorescence_correlation_spectroscopy
Computer graphics textures that are generated procedurally
randomness. Reaction–diffusion systems are one way of generating such textures. Realistic textures can be generated by simulating complex chemical reactions within
Procedural_texture
System property to handle growing work
intelligence Evolutionary robotics Evolvability Pattern formation Fractals Reaction–diffusion systems Partial differential equations Dissipative structures Percolation
Scalability
Type of polymerization occurring at the interface of two immiscible phases
membranes, and capsules. These models take into account both reaction- and diffusion-controlled interfacial polymerization under non-steady-state conditions
Interfacial_polymerization
Enclosed volume where interconversion of compounds takes place
of diffusion of reagents in and products out, and efficacy of mixing. Perfect mixing usually cannot be assumed. Furthermore, a catalytic reaction pathway
Chemical_reactor
Penetration of a liquid, gas, or vapor through a solid
{p_{1}}}-{\sqrt {p_{2}}})}{\delta }}{\bigg .}} The diffusion coefficient can be combined with the reaction equilibrium constant to get the final form of the
Permeation
Salts or other derivatives of phenols
kinetic reaction control). Mixed oxygen/carbon attack and by this a loss of selectivity is usually observed if the reaction rate reaches diffusion control. Alkyl
Phenolates
DIFFUSION CONTROLLED-REACTION
DIFFUSION CONTROLLED-REACTION
Boy/Male
Gujarati, Hindu, Indian, Marathi
Winner; Self Controller
Boy/Male
Hindu, Indian, Marathi
Controller of Power
Boy/Male
Indian, Marathi
Controller of Power
Boy/Male
Tamil
Kalanabha | கலாநாபாÂ
Controller of time
Kalanabha | கலாநாபாÂ
Boy/Male
Bengali, Indian, Sanskrit
Controller of Speech
Boy/Male
Hindu, Indian
Controller of Destiny
Boy/Male
Tamil
Conquering, Self-controlled
Girl/Female
British, English, Greek
Sensible; Prudent; Self Controlled
Boy/Male
Arabic, Lebanese
Controller of Anger
Boy/Male
Biblical
Diffusion; inclination; theft.
Boy/Male
Biblical
Diffusion; inclination; theft.
Boy/Male
Hindu
Controller of destiny
Boy/Male
Tamil
Bhagyanandana | பாகà¯à®¯à®¨à®‚தாநா
Controller of destiny
Bhagyanandana | பாகà¯à®¯à®¨à®‚தாநா
Boy/Male
Tamil
Adhikara | அதிகராÂ
Principal, Controller
Adhikara | அதிகராÂ
Boy/Male
Greek, Indian, Sanskrit
Self Controlled
Boy/Male
Hindu, Indian, Kannada, Marathi, Oriya, Sanskrit, Telugu
Principal; Controller
Girl/Female
British, English
Controller
Boy/Male
Indian, Sanskrit
Highly Controlled
Boy/Male
Hindu
Controller of time
Boy/Male
Hindu
Conquering, Self-controlled
DIFFUSION CONTROLLED-REACTION
DIFFUSION CONTROLLED-REACTION
Girl/Female
Tamil
A tree
Boy/Male
Hindu, Indian
Compact; Safe; Secure
Girl/Female
Biblical
A locust, the father's joy or feast.
Girl/Female
Tamil
Dew drop, Admired for look, Love, Rain, Bright one, Naughty one
Boy/Male
Tamil
Eyes
Girl/Female
Tamil
Kirthika | கிரà¯à®¤à¯€à®•à®¾, கீரà¯à®¤à¯€à®•à®¾Â
Famous action
Girl/Female
Tamil
Kiranprabha | கிரணபà¯à®°à®ªà®¾
Boy/Male
Arabic, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Sanskrit, Telugu
Star; Pupil of Eye; Protector; Eye
Girl/Female
Tamil
Boy/Male
Arabic, Australian, Muslim
Peaceful
DIFFUSION CONTROLLED-REACTION
DIFFUSION CONTROLLED-REACTION
DIFFUSION CONTROLLED-REACTION
DIFFUSION CONTROLLED-REACTION
DIFFUSION CONTROLLED-REACTION
n.
The act of pouring out; as, effusion of water, of blood, of grace, of words, and the like.
n.
The act of diffusing, or the state of being diffused; a spreading; extension; dissemination; circulation; dispersion.
imp. & p. p.
of Control
v. t.
The act of infusing, pouring in, or instilling; instillation; as, the infusion of good principles into the mind; the infusion of ardor or zeal.
n.
One who, or that which, controls or restraines; one who has power or authority to regulate or control; one who governs.
a.
Having the quality of diffusing; capable of spreading every way by flowing; spreading widely; widely reaching; copious; diffuse.
a.
Not governed or controlled.
a.
Expansive; diffusive.
n.
Capability of being controlled.
n.
Free from restraint; uncontrolled.
n.
One opposed to the diffusion of knowledge; an obscuriantist.
n.
Infusion.
n.
An iron block, usually bolted to a ship's deck, for controlling the running out of a chain cable. The links of the cable tend to drop into hollows in the block, and thus hold fast until disengaged.
n.
The act of passing by osmosis through animal membranes, as in the distribution of poisons, gases, etc., through the body. Unlike absorption, diffusion may go on after death, that is, after the blood ceases to circulate.
n.
Effusion; loss.
n.
Capability of being controlled; controllableness.
n.
An officer appointed to keep a counter register of accounts, or to examine, rectify, or verify accounts.
n.
The emission and diffusion of rays of light.
a.
Having power to diffuse itself; diffusing itself.
n.
The office of a controller.