Statistical Study of Distribution Diagrams for Two-Component Systems: Relationship of Means and Variances of the Discrete Variable Distributions with Average Ligand Number and Intrinsic Buffer Capacity

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Authors	MOYA-HERNANDEZ Rosario RUEDA-JACKSON Juan Carlos RAMIREZ Maria Teresa VAZQUEZ Guillermo A. HAVEL Josef ROJAS-HERNÁNDES Alberto
Year of publication	2002
Type	Article in Periodical
Magazine / Source	Journal of Chemical Education
MU Faculty or unit	Faculty of Science
Citation
Field	Analytic chemistry
Keywords	Statistical study; Distribution Diagrams
Description	Statistical Study of Distribution Diagrams for Two-Component Systems was studied. The distribution of mononuclear M species is the set of distributions of molar fractions of M species with stoichiometric coefficient of L. The set of means of these distributions corresponds to the average ligant number and that the set of variances of the same distributions is related to the intrinsic buffer capacity of the system. Mean and variance are parameters of a statistical distribution. Then it is possible to show that average ligand number and buffer capacity result from means and variances of the set of distributions of molar fractions, respectively. This viewpoint provides an excellent application example of statistical distributions of a discrete variable and it may be halpful for mathematical statistics courses provided in chemistry teaching programs.
Related projects:	Structure and character of bonding, properties and analysis of synthetic and natural molecular ensembles