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Updated: May 11, 2026

Characterization, Quantification and Compound-specific Isotopic Analysis of Pyrogenic Carbon Using Benzene Polycarboxylic Acids (BPCA)
Published on: May 16, 2016
From Kelvin problem to Kelvin carbons.
Hui-Yan Zhao1, Jing Wang, Qing-Min Ma
1Department of Physics and Hebei Advanced Thin Film Laboratory, Hebei Normal University, Shijiazhuang, Hebei, China.
Researchers discovered new carbon structures, "Kelvin carbons," inspired by soap bubble foam. These stable semiconductors exhibit properties similar to diamond, enriching the study of carbon allotropes.
Area of Science:
- Materials Science
- Solid-State Physics
- Chemistry
Background:
- The Kelvin problem, concerning the most efficient foam structure, has been a longstanding scientific challenge.
- Soap bubble frameworks share topological similarities with sp(3)-bonded carbon and silicon structures, such as Weaire-Phelan foam.
Purpose of the Study:
- To investigate efficient foam structures and their relation to carbon allotropes.
- To construct and characterize novel carbon structures based on foam topology.
Main Methods:
- Utilized principles of foam structure optimization (Kelvin problem).
- Computational modeling and theoretical analysis to design and predict properties of new carbon allotropes.
Main Results:
- Synthesized 11 new carbon allotropes, termed "Kelvin carbons."
- All Kelvin carbons are structurally stable wide-bandgap semiconductors.
- Their densities and hardness are approximately 81%-87% of diamond.
- K(VII), a Kelvin carbon, is a low-energy structure, ranking after graphite, diamond, lonsdaleite, and type-II carbon clathrate.
Conclusions:
- Kelvin carbons represent a significant addition to the known carbon allotropes.
- These structures bridge the gap between macroscopic foams and microscopic carbon materials.
- The discovery enriches the field of carbon allotrope research and materials science.
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