An alternative method for obtaining distributions of submicrometric particles: analysis using virtual samples.

Some known methods allow to find the moments and the corresponding probabilities distribution functions. We show an alternative way to generate density funtions, using a transforming function (T-function) and the corresponding differential transforming equation (T-equation). This T-function can be d...

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Publicado en:Revista Cubana de Física Vol. 27; no. 1; pp. 54 - 59
Autores principales: Augier, A.G., Rivero, D.
Formato: Artículo
Publicado: Universidad de La Habana 2010
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: An alternative method for obtaining distributions of submicrometric particles: analysis using virtual samples.
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        au:
          Augier, A.G.
          Rivero, D.
        affil: Superior Institute of Technologies and Applied Sciences (InSTEC)
      su:
        Nuclear particle research
        Density functionals
        Light scattering
        Mathematical models of optics
        Distribution (Probability theory)
        Mathematical transformations
      sug:
        subj:
          Nuclear particle research
          Density functionals
          Light scattering
          Mathematical models of optics
          Distribution (Probability theory)
          Mathematical transformations
      keyword:
        particle characterization 02.70.Ns
        particle suspensions 82.70.Kj
        probability theory 02.50.Cw
      ab:
        Some known methods allow to find the moments and the corresponding probabilities distribution functions. We show an alternative way to generate density funtions, using a transforming function (T-function) and the corresponding differential transforming equation (T-equation). This T-function can be defined from an experimental process, and would be obtained in laboratory measuring. It is obtained the mathematical equivalence of the known and usually used in gravimetric sedimentation process Svedberg-Oden's equation and the differential T- equation. Some T-functions and the corresponding density functions, as well as their graphics for processes of second order, it is shown. Using a virtual sample of particles of well-known parameters and based on an optical measuring method, the experimental determination process of suspended in a liquid small particle distributions, is simulated. The density functions obtained using this alternative method show a satisfactory agreement in comparison with the functions of the corresponding virtual sample.
        Algunos métodos conocidos permiten encontrar los momentos y las funciones de distribución de probabilidades correspondientes. Nosotros mostramos una manera alternativa de generar una función densidad, usando una función transformadora (la T-función) y la correspondiente ecuación diferencial de transformación (la T-ecuación). Esta T-función puede definirse en un proceso experimental, y se obtendría en las mediciones de laboratorio. Se obtiene la equivalencia matemática de la conocida ecuación de Svedberg-Oden, normalmente usada en procesos de sedimentación gravimétricos, y la T-ecuación diferencial. Se muestra algunas T- funciones y las correspondientes funciones densidad, así como sus gráficos para los procesos de segundo orden. Usando una muestra virtual de partículas de parámetros conocidos, y basado en un método óptico de medición, es simulado el proceso de determinación experimental de distribuciones de partículas pequeñas suspendidas en un líquido. Las funciones de densidad obtenidas usando este método alternativo presentan una concordancia satisfactoria, comparadas con las funciones de la muestra virtual correspondiente.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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