Attainable Region Theory

Attainable Region (AR) theory is a branch of chemical reaction engineering that incorporates elements of geometry and mathematical optimization to understand how chemical reactor networks—termed reactor structures—can be designed and improved.

AR theory is unique in that it is geometric in nature, and is particularly useful for understanding complex reactions (involving many competing reactions and species).

Learn AR theory


Learn the fundamentals of AR theory from Attainable Region Theory: An Introduction to Choosing an Optimal Reactor .


Visit the Examples section for a more detailed description of AR theory, and how it works.


Visit the Downloads section for companion software and interactive worked examples (which are written in Python). All files are hosted on Github .