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 ChemistryChemical EngineeringThermal 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

Chemical Kinetics & Thermodynamics Models (2)

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kinetics2 params

Arrhenius Equation

The fundamental exponential model relating chemical reaction rate constants and diffusion rates to absolute temperature.

$k(T) = A \exp\left( -\frac{E_a}{R T} \right)$
kinetics5 params

Bi-Exponential Decay

Two-phase exponential decay model resolving fast and slow relaxation lifetimes.

$y(t) = y_0 + A_1 \exp\left(-\frac{t}{\tau_1}\right) + A_2 \exp\left(-\frac{t}{\tau_2}\right)$