Cumulative number-distribution function

{
  "id": "MLC-T-CHM-002783",
  "term": "Cumulative number-distribution function",
  "field": "Chemistry",
  "definition": "A function that gives the proportion, by number of molecules, of a polymer sample whose value of a chosen molecular property, such as molar mass or chain length, does not exceed a given amount. It is found by integrating the number distribution function over that property, and it increases from 0 at the lowest values to 1 at the highest. Its counterpart based on mass instead of molecule count is the cumulative mass distribution function.",
  "synonyms": [
    "cumulative number distribution",
    "integral number distribution",
    "integral number-distribution function"
  ],
  "subject": "Polymer",
  "references": [
    "PAC, 2015, 87, 71. 'Definitions of terms relating to individual macromolecules, macromolecular assemblies, polymer solutions, and amorphous bulk polymers (IUPAC Recommendations 2014)' on page 86 (https://doi.org/10.1515/pac-2013-0201)"
  ],
  "url": "https://mlchart.com/terminology/chemistry/cumulative-number-distribution-function/"
}