Welcome to pH Calculation!
pH calculation
pH and paH for separate or mixtures of many acids and bases together
Titration with derivative determination of the equivalencepoint.
Rreference: look at: www.asdlib.org
You can download the programs directly without cost on the Orderpage.
There are:

Detailed guides with calculated examples for each of them.

Tables of ion diameters.

A detailed mathematical description of how the programs have been constructed.

An article of accuracy.
A complete mathematical solution is given in "A General Program for ActpH" on the Orderpage.
There is good agreement between values got from ActpH and those from NIST (standard buffer).
Ex: Phosphate buffer: ActpH gives paH=6.858 and NIST gives paH=6.865. Diff= 0.007.
For details go to the Orderpage and download "Guide for the ActpH" and Ex 12.
If you want a review from an analytical journal you can go to Analytical Sciences Digital Library and read a Description
Application/quantitative analysis/pH Calculation.
Programs have also been created based on these pH programs to give pH as a function of volume in acidbase titrations. There are four programs, two to calculate paH for titration of acids and titration of bases, and two to calculate pH for the same titrations. These programs and guidelines for their use are given following these pH programs.
There are two possibilities to download:

The ConcpHprogram with its guide and an adjusted form of “A General Program for Calculating ConcpH”.

The ActpHprogram with its guide, the complete form of “A General Program for Calculating ActpH”, the tables for ion diameters and in addition: the ConcpHProgram.
Decimal point is standard. If you have adjustment for decmal comma you can change to decimal point by going to the Control Panel (Language) and choose USA (English).