Correct application of some commonly used methods in the analysis of thermally induced processes in glass materials
Source abstract
Abstract
In this paper, it is pointed out to the incorrect application of the linear least squares regression method in articles dealing with the thermal characteristics of glass. On selected examples, linear least squares regression method was adequately applied to linear dependences predicted by Kissinger and Mahadevan/Moynihan equations in order to determine the activation energy of crystallization Ec and glass transition Eg of chalcogenide and oxide glasses. It is proposed to replace the roles of explanatory and response variables, i.e. to draw the dependence: [Formula presented], or [Formula presented] where x≡c for crystallization and x≡g for glass transition. Modified equations give statistically more accurate values. The analysis of measurement uncertainty of variability parameter ΔEwas also performed in accordance with the rules of error propagation, indicating that with this parameter measurement uncertainty can make more than 50% of the value of the parameter itself, thus making conclusions and further analysis very questionable. © 2021
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Thermal and Kinetic Analysis · Phase-change materials and chalcogenides · Chemical Thermodynamics and Molecular Structure
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (39)
Show source-provided references
1. Ag doped chalcogenide glasses and their applications10.1016/S1359-0286(03)00044-5 ↗
2. Potentiometric sensors with chalcogenide glasses as sensitive membranes: a short review10.1016/j.jnoncrysol.2018.04.057 ↗
3. Rapid-phase transitions of GeTe-Sb2Te3 pseudobinary amorphous thin films for an optical disk memory10.1063/1.348620 ↗
4. Phase change memories: state-of-the-art, challenges and perspectives10.1016/j.sse.2005.10.046 ↗
5. Crystallization kinetics of glassy materials: the ultimate kinetic complexity?10.1007/s10973-018-7078-1 ↗
6. Oxidation-influenced crystallization in (GeSe2)x(Sb2Se3)1-x chalcogenide glasses10.1016/j.jnoncrysol.2019.01.020 ↗
7. Study of non-isothermal crystallization kinetics of Ge20Se70Sn10chalcogenide glass10.1007/s10973-017-6793-3 ↗
8. Crystallization behavior of Ge-Sb-Se glasses in the compositional range for use as molded lenses10.1016/j.jnoncrysol.2017.10.017 ↗
9. Glass transition kinetics aspects of amorphous Se60Ge15As25 and Se60Ge15Sn25 compositions10.1007/s10973-017-6573-0 ↗
10. Calorimetric studies of crystallization for multi-component glasses of Se– Te–Sn–Ag (STSA) system using model-free and model-fitting non-isothermal methods10.1007/s10973-016-6019-0 ↗
11. Thermal analysis of cadmium addition on the glass transition and crystallization kinetics of Se–Te–Sn glassy network10.1007/s10973-017-6797-z ↗
12. Crystallization kinetics of tellurium-rich Se–Te–Sn glassy alloys10.1007/s10973-017-6442-x ↗
13. Non-isothermal crystallization kinetics of non-crystalline Ge10Se90−xTlx ternary glass alloys10.1016/j.jnoncrysol.2018.05.033 ↗
14. Kinetics based evidence for intermediate phase in Ge15Te85−xInx chalcogenide glasses10.1016/j.jnoncrysol.2017.06.006 ↗
15. Thermal characterization of (As2Se3)0.5(As2Te3)0.5 infrared glass10.1016/j.jnoncrysol.2017.09.011 ↗
16. Thermal behavior of Se-rich Ge2Sb2Se(5−y)Tey chalcogenide system10.1016/j.jallcom.2014.12.007 ↗
17. Reaction Kinetics in Processes of Nucleation and Growth
18. Kinetics of phase change. I general theory10.1063/1.1750380 ↗
19. Kinetics of phase change. II transformation-time relations for random distribution of nuclei10.1063/1.1750631 ↗
20. Variation of peak temperature with heating rate in differential thermal analysis10.6028/jres.057.026 ↗
21. Reaction kinetics in differential thermal analysis10.1021/ac60131a045 ↗
22. Homer Kissinger and the Kissinger equation10.1016/j.tca.2012.04.008 ↗
23. Calorimetric measurements on As-Sb-Se glasses10.1016/S0022-3093(86)80084-9 ↗
24. Kissinger equation versus glass transition phenomenology10.1007/s10973-012-2892-3 ↗
25. Dependence of the glass transition temperature on heating and cooling rate10.1021/j100619a008 ↗
26. Modification of the integral isoconversional method to account for variation in the activation energy10.1002/1096-987X(20010130)22:2<178::AID-JCC5>3.0.CO;2-# ↗
27. Linear and nonlinear procedures in isoconversional computations of the activation energy of non-isothermal reactions in solids10.1021/ci950062m ↗
28. Glass transition kinetics of the binary Si12.5Te87.5 alloy10.1007/s00339-013-8122-4 ↗
29. Kinetics of the glass transition in Se72Te23Sb5 chalcogenide glass: variation of the activation energy10.1016/j.jallcom.2008.08.056 ↗
30. The activation energy and fragility index of the glass transition in Se76Te21Sb3 chalcogenide glass10.1016/j.tca.2013.09.020 ↗
31. Glass transition kinetics and fragility index of chalcogenides from Ag–As–S–Se system10.1007/s10973-018-7151-9 ↗
32. Variation in activation energy of the glass transition for polymers of different dynamic fragility10.1002/macp.200600095 ↗
33. Mathematical-physical imperfections in frequently used models for analyzing glass crystallization and glass transition processes10.1016/j.jnoncrysol.2018.07.039 ↗
34. Glass transition kinetics and optical bandgap in Se85−xSb15Snx (x=10, 11, 12.5 and 13) chalcogenide glasses10.1016/j.matchemphys.2011.06.005 ↗
35. Crystallization kinetic and thermal and electrical properties of β-spodumeness/cordierite glass–ceramics10.1007/s10973-016-5397-7 ↗
36. Effect of copper introduction into As2Se3 glass matrix on crystallization processes10.1016/j.jnoncrysol.2015.06.031 ↗
37. Effect of arsenic atom substitute with antimony on crystallization processes and thermal stability of the (Sb, As)-S-I system10.1016/j.jnoncrysol.2012.02.011 ↗
38. Composition effect on the pre-crystallization and crystallization characteristics for Se90-xTe10Agx10.1016/j.jallcom.2017.09.004 ↗
39. Estimation of thermal transitions in poly(ethylene naphthalate): experiments and modeling using isoconversional methods10.1016/j.polymer.2010.04.031 ↗