Home Models Chemical Kinetics & Thermodynamics Chemical Kinetics & Thermodynamics
Reaction Rates, Thermal Activation & Multi-Phase Decay Models Analytical and non-linear rate equations describing temperature-dependent chemical kinetics, activation barriers, multi-exponential fluorescence lifetimes, and phase transformation dynamics.
Target Disciplines: Physical Chemistry Chemical Engineering Thermal Analysis (DSC/TGA) Photochemistry
Common Fitting Challenges in Chemical Kinetics & Thermodynamics Resolving closely spaced lifetimes in multi-exponential decay curves Linearization errors when converting Arrhenius data to 1/T plots Estimating reaction orders in complex multi-step kinetic schemes AltaiPlot High-Performance Fitting Engine Direct non-linear fitting on raw experimental scales without distortion from logarithmic transforms Bi-exponential and tri-exponential lifetime deconvolution with residual diagnostics High-throughput parameter estimation across variable temperature series kinetics 2 params
The fundamental exponential model relating chemical reaction rate constants and diffusion rates to absolute temperature.
$k(T) = A \exp\left( -\frac{E_a}{R T} \right)$
kinetics 5 params
Two-phase exponential decay model resolving fast and slow relaxation lifetimes.
$y(t) = y_0 + A_1 \exp\left(-\frac{t}{\tau_1}\right) + A_2 \exp\left(-\frac{t}{\tau_2}\right)$