Particle size distributions from multiparticulate dissolution. 1998

M V Dali, and J T Carstensen
School of Pharmacy, University of Wisconsin-Madison 53706, USA.

It has been demonstrated theoretically that the particle size distribution of particles in a given sieve fraction of a powder may be assessed by means of short-term dissolution data. Theoretical considerations in this article show that by accounting for polydispersity in a powder sample, the cubic expression in time for amount undissolved and fraction undissolved gives rise to integrals that are essentially moments of the distribution function of one of the defining dimensions of the particle. The first and the second moments can be used to calculate the distribution parameters, (mean and standard deviation) of such a dimension of a crystalline powder. The theory is based on a model geometry, a parallelepiped, for the description of particles such as needles, plates, and prisms. The theory is substantiated by experimental data. A method for obtaining the particle size distribution parameters from the results of dissolution of three sieve fractions of oxalic acid dihydrate, and the general application of this to particle size determination is discussed. To validate the method, the distribution of lengths and breadths of oxalic acid dihydrate particles was obtained from microscopy. From actual powder dissolution data, an estimate of the mean height-to-breadth ratio of these particles belonging to a certain sieve fraction was obtained. With the knowledge of the dissolution rate constant, K, for oxalic acid dihydrate under specified hydrodynamic conditions, it was possible to evaluate the moments of the distribution function. The distribution parameters so obtained were in good agreement with the results obtained from microscopy.

UI MeSH Term Description Entries
D010316 Particle Size Relating to the size of solids. Particle Sizes,Size, Particle,Sizes, Particle
D011208 Powders Substances made up of an aggregation of small particles, as that obtained by grinding or trituration of a solid drug. In pharmacy it is a form in which substances are administered. (From Dorland, 28th ed) Powder
D011336 Probability The study of chance processes or the relative frequency characterizing a chance process. Probabilities
D003460 Crystallization The formation of crystalline substances from solutions or melts. (McGraw-Hill Dictionary of Scientific and Technical Terms, 4th ed) Crystalline Polymorphs,Polymorphism, Crystallization,Crystal Growth,Polymorphic Crystals,Crystal, Polymorphic,Crystalline Polymorph,Crystallization Polymorphism,Crystallization Polymorphisms,Crystals, Polymorphic,Growth, Crystal,Polymorph, Crystalline,Polymorphic Crystal,Polymorphisms, Crystallization,Polymorphs, Crystalline
D012995 Solubility The ability of a substance to be dissolved, i.e. to form a solution with another substance. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Solubilities
D013056 Spectrophotometry, Ultraviolet Determination of the spectra of ultraviolet absorption by specific molecules in gases or liquids, for example Cl2, SO2, NO2, CS2, ozone, mercury vapor, and various unsaturated compounds. (McGraw-Hill Dictionary of Scientific and Technical Terms, 4th ed) Ultraviolet Spectrophotometry

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