The Surface Free Energies of Solid Chemical Elements: Calculation from Internal Free Enthalpies of Atomization
Open accessAbstract
It is pointed out that the experimentally-measured quantity usually termed “surface free energy” is in fact a part of the free enthalpy which is due to the presence of the surface (referred to unit surface). This quantity, denoted by γ i o for the polycrystalline solid chemical element i, is connected to the internal free enthalpy of atomization Δ G a,i * by the relation γ i o φ i o =α i o Δ G a,i * where φ i o is the molar surface area, and α i o is a constant. Its physical meaning is given to a relatively good approximation. Approximate methods of calculation based on experimental data give values of α i o at any temperature for metallic, semimetallic and covalently-bonded solid chemical elements. Using these procedures, the values of γ i o at 298.2 K and at the melting temperature are tabulated.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Co has higher surface energy than Pt, making it easier for Pt to support on the Co surface.
“has the higher surface energy than Pt, making it easier for Pt to support on Co surface [18]”
From Sub-nanometric Pt clusters supported Co aerogel electrocatalyst with hierarchical micro/nano-porous structure for hydrogen evolution reaction (2024) · cites this paper as [18]
The table in §4 (p. 4) gives Co a calculated surface free energy of 2.709 J m⁻² at 298.2 K, but the Pt row is blank in our copy, so the comparison cannot be verified reliably. The paper does not address whether surface energy makes Pt easier to support on Co. (LLM, conf=0.72)
Experimental — accuracy not yet measuredAmong first-row transition metal elements, Co is relatively inexpensive.
“Among the first-row-transition metal elements, the metal Co is relatively inexpensive”
From Sub-nanometric Pt clusters supported Co aerogel electrocatalyst with hierarchical micro/nano-porous structure for hydrogen evolution reaction (2024) · cites this paper as [18]
The table in §4 (p. 4) lists Co’s melting temperature and surface free energy, not its price. Searches for inexpensive, cost, price, and related terms found no passage comparing Co’s expense with that of other first-row transition metals. (LLM, conf=0.76)
Experimental — accuracy not yet measuredCo has satisfactory stability.
“has satisfactory stability”
From Sub-nanometric Pt clusters supported Co aerogel electrocatalyst with hierarchical micro/nano-porous structure for hydrogen evolution reaction (2024) · cites this paper as [18]
Section 4 (p. 4) lists Co’s melting temperature and surface free energies, but does not assess whether Co has satisfactory stability. Searches for Co, cobalt, and stability found no passage addressing that claim. (LLM, conf=0.75)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
No references could be resolved yet.
Research works printed but not linked: 3
- [10]R. A. Swalin: Thermodynamics of Solids (John Wiley and Sons Inc., New York-London, 1963).
- [12]V. Heine: Proc. R. Soc. London A 331 (1972) 307.
- [13]L. Z. Mezey and J. Giber: to be published in Proc. 4-th Eur. Conf. on Solid Surfaces, Münster, West Germany 14–16 September 1981.
Cited by
Sorted by citations
Ouyang, M., Papanikolaou, K. G., Boubnov, A., Hoffman, A. S., Giannakakis, G., Bare, S. R., Stamatakis, M., Flytzani-Stephanopoulos, M., & Sykes, E. C. H. (2021) · Nature Communications · doi:10.1038/s41467-021-21555-z · Cited by 187 · see citing works
Wang, T., Zhang, D., Fei, J., Yu, W., Zhu, J., Zhang, Y., Shi, Y., Tian, M., Lai, J., & Wang, L. (2024) · Applied Catalysis B: Environmental · doi:10.1016/j.apcatb.2023.123546 · Cited by 23 · see citing works
- Authors
- Mezey, L. Z., & Giber, J.
- Venue
- Japanese Journal of Applied Physics
- Publisher
- IOP Publishing
- Published
- 1982-11-01
- Volume
- 21
- Issue
- 11R
- Pages
- 1569
- ISSN
- 0021-4922 (ISSN-L)
- 1347-4065
- OpenAlex
- W1995951212
- Cited by
- 655
- References
- 0
- Citations by year
- 2026: 6 · 2025: 13 · 2024: 10 · 2023: 5 · 2022: 11 · 2021: 14 · 2020: 11 · 2019: 14 · 2018: 14 · 2017: 17 · 2016: 22 · 2015: 14 · 2014: 12 · 2013: 14 · 2012: 15
- FWCI
- 9.85
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Japanese Journal of Applied Physics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Thermodynamic and Structural Properties of Metals and Alloys
- Physical Sciences › Chemistry › Organic Chemistry › Chemical Thermodynamics and Molecular Structure
- Physical Sciences › Chemistry › Spectroscopy › Adsorption, diffusion, and thermodynamic properties of materials
- Keywords
- surface energy, polycrystalline solids, metals, melting point, surface tension
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review