scaling law

https://doi.org/10.1351/goldbook.12233
Equation of the type \(y = k x^{a}\), relating two physical quantities, \(x\) and \(y\), in which the value of the exponent \(a\) can be predicted by theory.
Notes:
  1. The constant \(k\) cannot be predicted from theory and must be determined experimentally.
  2. It has been shown that scaling laws are particularly useful in the description of semi-dilute polymer solutions.
Source:
PAC, 2015, 87, 71. (Definitions of terms relating to individual macromolecules, macromolecular assemblies, polymer solutions, and amorphous bulk polymers (IUPAC Recommendations 2014)) on page 90 [Terms] [Paper]
Citation: 'scaling law' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. https://doi.org/10.1351/goldbook.12233 RIS BibTex EndNote
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