Related Experiment Video
Updated: Sep 23, 2025

Determination of the Gas-phase Acidities of Oligopeptides
Published on: June 24, 2013
The pKBHX Hydrogen-Bond Basicity Scale: From Molecules to Anions
Nicolas Galland1, Christian Laurence1, Jean-Yves Le Questel1
1Nantes Université, CNRS, CEISAM, UMR 6230, F-44000 Nantes, France.
This study expands a known scale for measuring hydrogen-bond basicity to include anions. Using a combination of infrared spectroscopy, computational modeling, and linear free energy relationships, the researchers extended the pK_BHX scale to 26 anions. The scale spans 9.4 units, from fluoride to tetraphenylborate. The study found that anions with unipolar substituents follow the same basicity trends as those with dipolar substituents. Substituent effects in anions are explained by field-inductive and resonance effects at carbon and nitrogen, and only field-inductive effects at sulfur and phosphorus. These findings align with prior observations in neutral systems and support the use of Hammett-Taft σ constants to predict anion basicity in nonpolar environments.
Area of Science:
- Physical chemistry of intermolecular interactions
- Computational chemistry in solution systems
- Analytical chemistry of anion behavior
Background:
Hydrogen-bond basicity scales have been used to quantify the ability of molecules to act as acceptors in hydrogen bonding. These scales are well established for neutral species but remain limited for anionic hydrogen-bond acceptors. Prior research has shown that neutral HBAs can be ranked using pK_BHX values derived from complexation with 4-fluorophenol. However, no comprehensive scale exists for anions, which are important in many chemical processes. This gap motivated the development of a new scale that includes anionic HBAs. The current literature lacks a unified approach to measure and predict anion hydrogen-bond basicity. Existing methods focus on neutral systems or use solvents that do not reflect nonpolar environments. No prior work had resolved how substituent effects influence anion basicity in such conditions. This study addresses these limitations by extending the pK_BHX scale to anions using a combination of experimental and computational methods.
Purpose Of The Study:
The study aims to expand the pK_BHX hydrogen-bond basicity scale to include anionic hydrogen-bond acceptors. This expansion is necessary to better understand how anions interact in nonpolar environments. The specific problem addressed is the lack of a standardized scale for anions, which limits the ability to predict hydrogen-bonding behavior in diverse chemical systems. The motivation comes from the need to unify basicity measurements across neutral and ionic species. By extending the scale to anions, the researchers hope to provide a more complete framework for hydrogen-bonding analysis. The study also seeks to determine whether substituent effects observed in neutral systems apply to anions. This work builds on prior research that established the pK_BHX scale for neutral HBAs. The ultimate goal is to enable more accurate predictions of hydrogen-bonding interactions in complex chemical environments.
Main Methods:
The researchers extended the pK_BHX scale to anions using three complementary approaches. First, they measured complexation constants (K) via infrared spectroscopy of NBu₄⁺X⁻ ion pairs in CCl₄. Second, they estimated K values using linear free energy relationships between measured and literature-reported K values for various phenols in polar solvents. Third, they computed K values using density functional theory in CCl₄. These methods allowed the team to construct a pK_BHX scale for 26 anions. The study focused on anions with unipolar substituents such as O⁻ and S⁻. The researchers compared their results to Hammett-Taft σ constants to assess substituent effects. By combining experimental and computational data, the team ensured the scale's accuracy and applicability. This multi-method approach enabled a robust extension of the pK_BHX scale to anionic systems.
Main Results:
The pK_BHX scale was successfully extended to 26 anionic hydrogen-bond acceptors. The scale spans 9.4 pK_BHX units, from fluoride to tetraphenylborate. The researchers measured K values using infrared spectroscopy in CCl₄ and confirmed these with computational methods. Linear free energy relationships between measured and literature K values showed strong correlations. Anions with unipolar substituents followed the same pK_BHX versus σ relationships as dipolar ones. This suggests that field-inductive and resonance effects govern substituent influence in anions. Substituents at carbon and nitrogen showed both effects, while those at sulfur and phosphorus showed only field-inductive effects. These findings align with known substituent behavior in neutral systems.
Conclusions:
The pK_BHX scale has been extended to anionic hydrogen-bond acceptors using a combination of experimental and computational methods. The scale spans 9.4 pK_BHX units, covering a wide range of anions. The researchers found that unipolar substituents in anions follow the same pK_BHX versus σ relationships as dipolar ones. This suggests that field-inductive and resonance effects are key in determining anion basicity. Substituents at carbon and nitrogen show both effects, while those at sulfur and phosphorus show only field-inductive effects. These findings align with prior observations in neutral systems. The study confirms that the pK_BHX scale can be applied to anions with confidence. The results support the use of Hammett-Taft σ constants to predict anion basicity in nonpolar environments.
Frequently Asked Questions
The pK_BHX scale measures hydrogen-bond basicity using the logarithm of the complexation constant between 4-fluorophenol and bases. This study extends the scale to anions, covering a 9.4 pK_BHX unit range.
The researchers used infrared spectroscopy in CCl₄, linear free energy relationships, and density functional theory computations to measure anion hydrogen-bond basicity.
The Hammett-Taft σ constant helps relate substituent effects to anion basicity. The study found that unipolar substituents follow the same pK_BHX versus σ relationships as dipolar ones.
Substituents at sulfur and phosphorus affect anion basicity only through field-inductive effects, while those at carbon and nitrogen involve both field-inductive and resonance effects.
The 9.4 pK_BHX unit range indicates the scale's breadth, from fluoride to tetraphenylborate, showing the diversity of anion hydrogen-bond basicity.
The study confirms that substituent effects observed in neutral systems also apply to anions, supporting the use of Hammett-Taft σ constants in nonpolar environments.
Related Concept Videos
Acid and Bases: Ka, pKa, and Relative Strengths
Relative Strengths of Conjugate Acid-Base Pairs
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...
pH Scale
Weak Base Solutions
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...

