Canonical Approaches to Interatomic Interactions
Theory and Applications
- 1st Edition - October 4, 2025
- Latest edition
- Authors: Luis A. Rivera-Rivera, Jay R. Walton
- Language: English
Typical pathways for modelling interatomic interactions involve the plotting of potential energy against radial displacement, but such approaches can be computationally costly. Ca… Read more
World Book Day celebration
Where learning shapes lives
Up to 25% off trusted resources that support research, study, and discovery.
Description
Description
Typical pathways for modelling interatomic interactions involve the plotting of potential energy against radial displacement, but such approaches can be computationally costly. Canonical Approaches to Interatomic Interactions: Theory and Applications provides an overview of the field and presents a replicable, novel force-based approach that demonstrates accurate and quantitative interrelations between weakly bound and strong covalently bound intermolecular interactions.
Beginning with an introduction to Potential Energy Surfaces (PES) and modern approaches in Part 1, Part 2 goes on to describe Canonical Approaches in detail, including methodologies and data to allow replication. Part 3 then goes on to outline some key applications, before future directions are discussed in Part 4.
Sharing the insight of its progressive authors, Canonical Approaches to Interatomic Interactions: Theory and Applications is an informative guide for all those working with interatomic interactions and PES, including researchers in in chemical kinetics and bonding, molecular mechanics, quantum chemistry and molecular modelling.
Key features
Key features
- Outlines both traditional and novel theories and models for intermolecular interactions
- Reviews modern interpolation and fitting methods, and highlights advantages and disadvantages for each
- Provides data and methodologies for novel canonical approaches to generating potential energy surfaces, encouraging replication
Readership
Readership
Table of contents
Table of contents
Chapter 1: The Born−Oppenheimer Approximation
1.1: Definitions of key terms
1.2: Underpinning knowledge (‘foundational’)
Chapter 2: Potential Energy Surfaces and Its Implications to Chemistry
2.1: Molecular Structure
2.2: Molecular Spectroscopy
2.3: Reaction Dynamics
Chapter 3: Review of Modern Interpolations and Fitting Methods to Generate Potential Energy Surfaces.
3.1: Definitions of key terms
3.2: Underpinning knowledge (‘foundational’)
3.3: Detailed methods/protocols
3.4: Step-by-step guidance on key procedures/processes
Chapter 4: The Hellmann−Feynman and the Virial Theorems
4.1: Definitions of key terms
4.2: Underpinning knowledge (‘foundational’)
Part 2: Canonical Approaches
Chapter 5: Canonical Approaches to Pairwise Interatomic Interactions
5.1: Introduction
5.2: Methods
5.2.1: Pointwise Force Method
5.2.2: Average Force Method
5.2.3: Structured vs Unstructured Methods
5.3: Case studies
5.3.1 Preliminaries
5.3.2 Case Studies
5.4: Computational Cost and Efficiency
5.4.1: Approximation Accuracy
5.4.2 Approximation Computational Cost
5.4.3 Case Studies of Canonical Approximation Accuracy Versus Computational Cost
5.5: Conclusions
Chapter 6: Canonical Approaches to Forces in Molecules
6.1: Introduction
6.2: Methods
6.2.1 Computational Cost of Force Evaluations
6.2.2 Piecewise Canonical Approximation Error
6.3: Feynman Force Qualitative Properties
6.4: Case studies and Results
6.5: Conclusions
Chapter 7: Canonical Approaches and the Unification of Pairwise Interatomic Interactions
7.1: Introduction
7.2: Case studies and Results
7.3: Discussion and Conclusion
Part 3: Applications and Case Studies
Chapter 8: Canonical Approaches and the Born−Oppenheimer Approximation
8.1: Introduction
8.2: Methods
8.3: Case studies and Results
8.4: Discussion & Conclusions
Chapter 9: Canonical Approaches and the Virial Theorem
9.1: Introduction
9.2: Methods
9.3: Case studies and Results
9.4: Discussion & Conclusions
Chapter 10: Canonical Approaches to Multidimensional Potential Energy Surfaces
10.1: Introduction
10.2: Methods
10.3: Case studies
10.4: Discussion & Conclusion
Product details
Product details
- Edition: 1
- Latest edition
- Published: October 4, 2025
- Language: English
About the authors
About the authors
LR
Luis A. Rivera-Rivera
Luis A. Rivera-Rivera is an Associate Professor at the Department of Physical Sciences, Ferris State University, USA. After completing his B.S. degree in chemistry at the University of Puerto Rico, Dr. Rivera went on to do an M.S. degree in inorganic chemistry, finally completing his Ph.D. in physical chemistry at Texas A&M University. After his Ph.D., he carried out postdoctoral research in theoretical chemistry and has published well over forty papers and given multiple presentations in this area.
JW
Jay R. Walton
Jay R. Walton is Professor Emeritus at the Department of Mathematics, Texas A&M University, USA. He earned his Ph.D. from Indiana University, and was previously also Professor of Aerospace Engineering and Deputy Director of the Institute for Applied Mathematics and Computational Science at the university. He has published over 90 research papers.