This App was created for Dr. Arnaldo Lorenzo and Prof. Alejandro J. Müller, based on an ORIGIN plugin they developed in 20071
Purpose: This App lets you fit your isothermal crystallization data with the Avrami1 and the Lauritzen and Hoffman Theory2.
For Avrami theory-Continuous Fit (Continuous Isothermal Crystallization)
- With your Heat Flow vs. time data (the usual output of a DSC isothermal curve) taken at a specific crystallization temperature, launch the App.
- Select the Avrami option, and feed the App with the mass of your sample, and density (in case you want a particular correction1).
- Select the fitting range (there is a recommended fit range)1
- See your results, τ0, Avrami Index (n), K values, τ50% theoretical and experimental, and R2.1
For Avrami theory-By Step Fit (Isothermal Step Crystallization 3-4)
With this update, we have added an option that allows using the ΔH vs. time data, e.g., obtained from conventional or Flash DSC by ISC3. After feeding the App with this data, provide the App with the mass of your sample and density, and then you can get the Avrami parameters, as in the continuous-fit.
For Lauritzen and Hoffman theory2
- With your 1/τ50% vs. Tc data or Spherulitic growth rate (G) vs. Tc data, launch the App.
- Select the LH option, and how do you obtain the data: DSC vs. PLOM.
- Feed the App with your U* (generally taken as 1500 cal/mol), Tα=Tg-30, and Tm°.
- Select how many regimes do you have and which ones.
- Select your a0, b0, Crystalline density, and ΔHm°.
- See your results; you have obtained all the relevant energetic parameters, Kg, σ, σe, and q.
1Lorenzo, A. T.; Arnal, M. L.; Albuerne, J.; Müller, A. J. Polymer Testing, 2007, 26, 222-231. (January) “DSC isothermal polymer crystallization kinetics measurements and the use of the Avrami equation to fit the data: Guidelines to avoid common problems”.
2Müller, A. J.; Michell, R. M.; Lorenzo, A. T. (April 2016), pp. 181-203, “Chapter 11. Isothermal Crystallization Kinetics of Polymers”, in Polymer Morphology: Principles, Characterization, and Processing (ed. Q. Guo), John Wiley & Sons, Inc, Hoboken, NJ, USA.
3Balsamo, V.; Urdaneta, N.; Pérez, L.; Carrizales, P.; Abetz, V.; Müller, A. J. European Polymer Journal, 2004, 40, 1033-1049 (June), “Effect of the polyethylene confinement and topology on its crystallization within semicrystalline ABC triblock copolymers”.
4Müller, A. J.; Arnal, M. L.; Lorenzo, A. T. in Handbook of Polymer Crystallization, Piorkowska,E.; Rutledge, G. C. eds., John Wiley and Sons, Hoboken, New Jersey (USA),ISBN: 978-0-470-38023-9, 2013, 347-372 (July). “Crystallization in Nano-Confined Polymeric Systems”.