## retention index, $$I$$

in column chromatography
Also contains definition of: Kováts (retention) index
https://doi.org/10.1351/goldbook.R05360
The retention index of a sample component is a number, obtained by interpolation (usually logarithmic), relating the adjusted retention volume (time) or the retention factor of the sample component to the adjusted retention volumes (times) of two standards eluted before and after the peak of the sample component. In the Kováts index or Kováts retention index used in gas chromatography, n-alkanes serve as the standards and logarithmic interpolation is utilized: $I = 100\left[\frac{\log _{10}X_{i}- \log _{10}X_{z}}{\log _{10}X_{z+1}- \log _{10}X_{z}}+z\right]$ where X refers to the adjusted retention volumes or times, z is the number of carbon atoms of the n-alkane eluting before and z + 1 is the number of carbon atoms of the n-alkane eluting after the peak of interest: $V_{\text{R}z}^{'} < V_{\text{R}i}^{'} < V_{\text{R}(z+1)}$ The Kováts (retention) index expresses the number of carbon atoms (multiplied by 100) of a hypothetical normal alkane which would have an adjusted retention volume (time) identical to that of the peak of interest when analysed under identical conditions. The Kováts retention index is always measured under isothermal conditions. In the case of temperature-programmed gas chromatography a similar value can be calculated utilizing direct numbers instead of their logarithm. Since both the numerator and denominator contain the difference of two values, here we can use the total retention volumes (times). Sometimes this value is called the linear retention index. $I^{\text{T}} = 100\left[\frac{t_{\text{R}i}^{\text{T}}- t_{\text{R}z}^{\text{T}}}{t_{\text{R}(z+1)}^{\text{T}}- t_{\text{R}z}^{\text{T}}}+z\right]$ where t R T refers to the total retention times (chart distances) measured under the conditions of temperature programming. The value of IT will usually differ from the value of I measured for the same compound under isothermal conditions, using the same two phases.
Sources:
Orange Book, 2nd ed., p. 108 (http://media.iupac.org/publications/analytical_compendium/)
PAC, 1993, 65, 819. 'Nomenclature for chromatography (IUPAC Recommendations 1993)' on page 844 (https://doi.org/10.1351/pac199365040819)