IMMITTANCE SPECTROSCOPY Models data fitting and analysis J
- Slides: 56
IMMITTANCE SPECTROSCOPY Models, data fitting, and analysis J. Ross Macdonald IMSPEMAS Workshop Warsaw 9/2003
MATERIAL/ELECTRODE CHARACTERIZATION WITH IS • • Bulk resistivity and dispersion Bulk dielectric constant Mobile charge concentrations Mobilities and valence numbers Bulk dissociation and recombination rates Electrode reaction rate constant Electrode adsorption rate constant Other fit-model parameters
IMMITTANCE SPECTROSCOPY • Impedance Spectroscopy • Dielectric Spectroscopy • Data Analysis • CNLS; INVERSION • LEVM ---- LEVMW V. 8
CNLS-LEVMW • CNLS: Complex nonlinear least squares fitting. Fit complex data to a model whose parts satisfy the Kronig-Kramers transform relations • LEVMW: Windows version of LEVM, a free general CNLS fitting and inversion program. Download it and its manual from http: //www. physics. unc. edu/~macd/ • LEVMW can accurately fit data to K 0, K 1, and many other models. It allows temporal response to be calculated from frequency response and vice versa
ELECTRODE EFFECTS AND SLOPES
BULK K 0 AND K 1 FIT RESULTS
NEARLY CONSTANT LOSS
CONCLUSIONS • The Moynihan original modulus formalism dispersion model is theoretically and experimentally incorrect and should be replaced by the corrected modulus formalism. • The corrected modulus formalism is isomorphic to the Scher-Lax microscopic model and leads to virtually independent of temperature and ionic concentration.
• The variable-correlation assumption of the OMF and NCM is unsupported by fits of experimental data using the CK 1 CMF model. • The cutoff model is much superior to all coupling models and requires no ad hoc assumptions. • Nearly-constant-loss behavior is likely to be associated with coupling between vibrating ions and induced dipoles of the bulk material. A microscopic model of the process is needed.
MATERIAL CHARACTERIZATION • Conduction character Intrinsically conducting: a. Completely blocking electrodes b. Partially blocking electrodes Intrinsically insulating: a. Dielectric: no mobile charge b. Leaky dielectric: surface or bulk impurity conduction • Charge characteristics Supported: strong supporting electrolyte, as in liquids Unsupported: no supporting electrolyte, as in glasses, solid electrolytes, semiconductors
- Curve fitting with exponential and logarithmic models
- Quadratic curve fitting
- Curve fitting with quadratic models
- Curve fitting with polynomial models
- Curve fitting with linear models
- Curve fitting with linear models
- Fitting equations to data
- How to approximate the best fitting line for data
- Semi-modals
- Conduit layout diagram
- Steer clipping and fitting techniques
- Spline pin
- Uv vis spectroscopy in pharmaceutical analysis
- Wwglass
- Gaussian curve fitting
- Curve fitting matlab
- Fitting into society
- Matlab sine fitting
- Curve fitting techniques
- Parameter estimation matlab
- Castan golf
- Dr comfort order forms
- Hot humid
- Spline fit matlab
- Transformer fittings and accessories
- Labview curve fitting
- Hyades
- A/c fitting size chart
- Job analysis and competency models
- Data collection procedure
- Data preparation and basic data analysis
- Data acquisition and data analysis
- Models and issues in data stream systems
- Terahertz spectroscopy principles and applications
- Ir spectroscopy definition
- Why are raman and ir complementary
- Difference between ir and raman spectroscopy
- Advantages and disadvantages of spectroscopy
- Stretching and bending vibrations in ir spectroscopy
- Advantages of nmr spectroscopy
- Spectroscopy and spectrophotometry
- Introduction to molecular spectroscopy
- What is spectroscopy
- Stretching and bending vibrations in ir spectroscopy
- Principle of atomic absorption
- Difference between atomic and molecular spectroscopy
- Difference between atomic and molecular spectroscopy
- Types of spectroscopy
- Sources of content analysis
- Neighbour model of consultation
- Analysis models in srs
- Airspace design analysis models sterling va
- Helman consultation model
- Analysis models in srs
- Delay models in data networks
- The conceptual data model is the set of concepts that:
- Simplified communications