Statistical Analysis of Series of Detection Time Measurements for the Estimation of Nucleation Rates
| Autor: | Marco Mazzotti, Elena C. dos Santos, Giovanni Maria Maggioni, Luca Bosetti |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Protocol (science)
Supersaturation Series (mathematics) Stochastic process Nucleation 02 engineering and technology General Chemistry 010402 general chemistry 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Empirical distribution function Isothermal process 0104 chemical sciences Set (abstract data type) General Materials Science Statistical physics 0210 nano-technology Mathematics |
| Zdroj: | Crystal Growth & Design. 17:5488-5498 |
| ISSN: | 1528-7505 1528-7483 |
| DOI: | 10.1021/acs.cgd.7b01014 |
| Popis: | Primary nucleation is a stochastic process; hence, detection times are statistically distributed even though experiments are repeated at the same conditions. This contribution aims at defining and discussing a method to perform an accurate statistical analysis of detection times; it focuses on three main aspects. First, we develop an accurate experimental protocol and set criteria on temperature, T, and supersaturation, S, to accept measurements as part of the experimental series. Applying such protocol to the isonicotinamide–ethanol system at several different supersaturations, we perform multiple series of isothermal nucleation experiments, calculating for each series the associated empirical cumulative distribution function (eCDF) of the detection times. Second, exploiting a set of statistical tools, we investigate whether the repetitions of the experiments at the same supersaturation conditions belong to the same stochastic process, assessing also the possibility to combine them in one single distribu... |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|