Related Experiment Video
Updated: Jan 20, 2026

06:45
Force Spectroscopy of Single Protein Molecules Using an Atomic Force Microscope
Published on: February 28, 2019
9.4K
On-Top Ratio for Atoms and Molecules
Rebecca K Carlson1, Donald G Truhlar1, Laura Gagliardi1
1Department of Chemistry, Chemical Theory Center, and Minnesota Supercomputing Institute , University of Minnesota , Minneapolis , Minnesota 55455-0431 , United States.
The Journal of Physical Chemistry. A
|August 23, 2019
Summary
The on-top ratio (R) helps analyze chemical bonds. Its partial derivative indicates covalent bond breaking in molecules like ethylene.
Area of Science:
- Quantum Chemistry
- Chemical Bonding Theory
Background:
- Understanding chemical bonds is fundamental to chemistry.
- Existing methods for bond analysis can be complex.
Purpose of the Study:
- To introduce and explore the utility of the on-top ratio (R) as a tool for analyzing chemical bonds.
- To demonstrate R's effectiveness in distinguishing various bond types and identifying bond breaking.
Main Methods:
- Calculation of the on-top ratio (R) using electron densities.
- Analysis of the partial derivative of R with respect to interatomic distance.
- Application to diatomic molecules and ethylene.
Main Results:
- The on-top ratio (R) effectively differentiates between covalent, polar covalent, ionic, and weak interactions.
- The partial derivative of R serves as a reliable indicator of covalent bond dissociation.
- R exhibits local maxima corresponding to electron shells under electron correlation.
Conclusions:
- The on-top ratio (R) is a valuable and accessible metric for characterizing chemical bonds.
- R and its derivatives offer new insights into bond dynamics and electronic structure.
Related Concept Videos
Atomic Mass
69.6K
Atoms — and the protons, neutrons, and electrons that compose them — are extremely small. For example, a carbon atom weighs less than 2 × 10−23 g. When describing the properties of tiny objects such as atoms, we use appropriately small units of measure, such as the atomic mass unit (amu). The amu was originally defined based on hydrogen, the lightest element, then later in terms of oxygen. Since 1961, it has been defined with regard to the most abundant isotope of carbon, atoms of which...
69.6K
Hybridization of Atomic Orbitals I
65.9K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
65.9K
Molecules and Compounds
68.2K
Atoms and Molecules
68.2K
The Atomic Theory of Matter
126.9K
The earliest recorded discussion of the basic structure of matter comes from ancient Greek philosophers. Leucippus and Democritus argued that all matter was composed of small, finite particles that they called atomos, meaning “indivisible.” Later, Aristotle and others came to the conclusion that matter consisted of various combinations of the four “elements” — fire, earth, air, and water — and could be infinitely divided. Interestingly, these philosophers...
126.9K
Hybridization of Atomic Orbitals II
48.2K
sp3d and sp3d 2 Hybridization
48.2K
Atomic Structure
207.1K
Overview
207.1K

