HUNTERTUTORING

Chemical kinetics

Graduate · Chemistry

Syllabus focus

Standard syllabus · Theoretical / proof-based

Pricing

Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.

Topics typically covered

Standard syllabus

Experimental kinetics

  • Rate law determination: initial rates and integration methods
  • Temperature dependence: Arrhenius, Eyring, and isokinetic relationships
  • Isotope effects: primary, secondary, solvent, equilibrium
  • Kinetic isotope effect theory and tunneling corrections
  • Stopped-flow and rapid mixing techniques
  • Relaxation methods: temperature-jump, pressure-jump
  • Laser flash photolysis and pump–probe spectroscopy
  • Matrix isolation kinetics
  • Competition kinetics and relative rate measurements
  • Error analysis and statistical treatment of kinetic data

Complex mechanisms

  • Steady-state and pre-equilibrium approximations: validity criteria
  • Rate laws for consecutive, parallel, and reversible reactions
  • Chain reactions: initiation, propagation, termination, inhibition
  • Explosion limits and branched chain mechanisms
  • Oscillating reactions: Belousov–Zhabotinsky, Oregonator model
  • Enzyme kinetics: Michaelis–Menten, inhibition, allostery
  • Heterogeneous catalytic kinetics: Langmuir–Hinshelwood, Eley–Rideal
  • Photochemical kinetics and quantum yields
  • Radiation chemistry kinetics
  • Microkinetic modeling of reaction networks

Gas-phase and solution dynamics

  • Collision theory and hard-sphere model
  • Transition state theory: partition function formulation
  • Diffusion-controlled reactions: Smoluchowski theory
  • Kramers rate theory for reactions in solution
  • Marcus theory for electron transfer: reorganization energy
  • RRKM and master equation for unimolecular reactions
  • Molecular beam kinetics and crossed-beam studies
  • State-resolved dynamics and steric effects
  • Solvent effects on reaction rates and selectivity
  • Ionic strength and activity coefficient effects

Industrial and environmental kinetics

  • Reactor design: batch, CSTR, PFR kinetics
  • Heterogeneous catalyst deactivation kinetics
  • Combustion kinetics and atmospheric chemistry models
  • Polymerization kinetics: chain-growth rate expressions
  • Bioreactor kinetics and cell growth models
  • Environmental degradation kinetics of pollutants
  • Drug degradation and shelf-life kinetics
  • Process safety: runaway reaction kinetics
  • Scale-up effects on observed kinetics
  • Real-time monitoring in manufacturing (PAT)

Theoretical / proof-based

Rigorous kinetic theory

  • Derivation of rate laws from mechanistic schemes
  • Proof of steady-state approximation conditions
  • Linear free-energy relationships in kinetics
  • Potential energy surface topology and reaction coordinates
  • Variational transition state theory
  • Rice–Ramsperger–Kassel–Marcus (RRKM) theory derivation
  • Unimolecular falloff and Lindemann mechanism
  • Master equation approach to chemical kinetics
  • Stochastic simulation algorithms (Gillespie)
  • Connection between deterministic and stochastic kinetics

Advanced dynamics

  • Transition path sampling and committor analysis
  • Reaction coordinate identification: PCA, committor, MSM
  • Nonadiabatic dynamics and surface hopping (overview)
  • Femtochemistry: transition state spectroscopy
  • Photodissociation dynamics and vector correlations
  • Statistical theories of reaction rates in clusters
  • Quantum effects on rate constants at low temperature
  • Kinetic isotope effects as probes of transition state structure
  • Heavy-atom tunneling in enzymatic reactions
  • Computational kinetics: variational TS search and VTST

Notes

Graduate-level chemical kinetics. Topics reflect common chemical kinetics syllabi at US research universities. Prior physical chemistry coursework essential. Overlap with chemical dynamics and physical organic chemistry is typical.