Discussion on the Hill Formula

Abstract

Purpose

The purpose of this study reported in this paper was to find the correct Mt/M₈ and Dt/a² data lists of Hill Formula. This paper enumerates several kinds of Hill formula data lists presented in different literatures, and the authors hope to draw the correct conclusion.

Design/methodology/approach

The eight different forms collected in the research project were compared. The mathematician was asked to give a suggestion from a professional point of view and to arrive at a conclusion.

Findings

In all eight cases, the third, the eighth and seventh cases are consistent and are considered reasonable and correct.

Research limitations/implications

First-hand information was not used because of unavailability of the earliest published version of the Hill formula.

Practical implications

It is helpful to the correct application of Hill formula and the calculation of diffusion coefficient. It is also valuable to the study of dyeing kinetics.

Originality/value

The research helps to reduce and avoid the confusion in the application of Hill formula in dyeing kinetics research.

Citation

Wu, J., Feng, L. and Lin, L. (2022), "Discussion on the Hill Formula", Pigment & Resin Technology, Vol. 51 No. 2, pp. 236-242. https://doi.org/10.1108/PRT-02-2021-0021