Related Experiment Video
Updated: Sep 3, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Gas phase acidity of water clusters
1Department of Chemistry, Malaviya National Institute of Technology Jaipur, Jaipur, 302017, India. pradeep.chy@mnit.ac.in.
This study looked at how acidity changes in water clusters of different sizes. Researchers found that the acidity of terminal hydrogen atoms increases as clusters grow, reaching a maximum at clusters of 30 water molecules. They also found that terminal hydrogen atoms are more acidic than bulk hydrogen atoms in the same cluster. These results suggest that proton transfer behavior may stabilize at larger cluster sizes. The study used computational methods to estimate acidity values across a range of cluster sizes. No acidity decrease was observed as clusters grew beyond 30 molecules. The findings may help clarify proton behavior in structured water environments.
Area of Science:
- Physical chemistry of molecular clusters
- Gas-phase acid-base reactions
- Computational chemistry of water
Background:
Gas-phase acidity is a key property in understanding molecular interactions in non-aqueous environments. Prior research has shown that bulk water acidity is well-characterized, but less is known about smaller or structured water clusters. No prior work had resolved how acidity changes as water clusters grow in size. This gap motivated investigations into the behavior of hydrogen atoms in discrete water clusters. Understanding cluster acidity may help clarify solvation effects and proton transfer mechanisms. Prior studies have not examined clusters larger than a few water molecules in detail. The uncertainty around terminal hydrogen acidity in clusters remains unresolved. This paper contributes by estimating acidity values across a range of cluster sizes.
Purpose Of The Study:
The study aimed to estimate gas-phase acidity of terminal hydrogen atoms in water clusters of various sizes. The goal was to determine how acidity changes as clusters grow from single molecules to larger structures. Researchers wanted to test whether acidity converges at a specific cluster size. The study also sought to compare terminal and bulk hydrogen acidity in clusters. Understanding these differences could clarify proton transfer dynamics in non-bulk environments. The researchers focused on clusters with sizes from 1 to 100 water molecules. They tested whether acidity increases with cluster size. The work aimed to identify a point of convergence in acidity values.
Main Methods:
The researchers used computational modeling to estimate acidity values for water clusters. They selected cluster sizes ranging from n = 1 to n = 100. Terminal hydrogen atoms were identified for each cluster configuration. Bulk hydrogen atoms were also analyzed for comparison. The study applied quantum mechanical calculations to determine acidity. Researchers evaluated acidity by measuring proton dissociation energies. They tested whether acidity values stabilize at larger cluster sizes. The method involved comparing acidity trends across different cluster sizes.
Main Results:
The strongest finding was that gas-phase acidity increases with cluster size. Terminal hydrogen acidity reached a maximum at clusters of 30 water molecules. Acidity values began converging at (H2O)30. For all cluster sizes, terminal hydrogen acidity exceeded bulk hydrogen acidity. The acidity increase was consistent across all tested cluster sizes. No acidity decrease was observed as clusters grew beyond 30 molecules. The trend suggests a stabilization of proton transfer behavior at larger sizes. These results support the hypothesis that cluster size influences acidity.
Conclusions:
The authors propose that terminal hydrogen acidity increases with cluster size. They suggest that acidity converges at (H2O)30. The study supports the idea that terminal hydrogen atoms are more acidic than bulk ones. These findings may help explain proton transfer in structured water environments. The authors do not claim that acidity increases indefinitely with cluster size. They propose that acidity stabilizes at larger cluster sizes. The results suggest a potential model for proton behavior in non-bulk water. The authors do not assign necessity to any specific cluster size beyond their findings.
Frequently Asked Questions
The study found that terminal hydrogen acidity increases with cluster size and converges at (H2O)30.
They measured proton dissociation energies for terminal and bulk hydrogen atoms in each cluster.
Cluster size influenced acidity trends, with convergence observed at (H2O)30.
It allowed estimation of acidity values for hydrogen atoms in clusters of various sizes.
No acidity decrease was observed as clusters grew beyond 30 molecules.
They propose that acidity stabilization at larger clusters may influence proton transfer behavior.
Related Concept Videos
Basicity of Aliphatic Amines
To measure the basicity of amines, two conventions are generally used. The first defines Kb as the basicity constant for the deprotonation reaction of water by the amine, as presented in Figure 1. Conventionally, lower Kb indicates...
Water: A Bronsted-Lowry Acid and Base
Acid Strength and Molecular Structure
In the absence of any leveling effect, the acid strength of binary compounds of hydrogen with nonmetals (A) increases as the H-A bond strength decreases down a group in the periodic table. For group 17, the order of increasing acidity is HF < HCl < HBr < HI. Likewise, for group 16, the order of increasing acid strength is H2O < H2S < H2Se < H2Te. Across a row in the periodic table, the acid strength of binary hydrogen compounds increases with...
Mixtures of Acids
In a strong and weak acid mixture, the strong acid dissociates completely and becomes a source of almost all the hydronium ions present in the solution. In contrast, the weak acid shows...
Polyprotic Acids
Relative Strengths of Conjugate Acid-Base Pairs

