The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.
Carbyne from First Principles: Chain of C Atoms, a Nanorod or a Nanorope
Open accessAbstract
We report an extensive study of the properties of carbyne using first-principles calculations. We investigate carbyne's mechanical response to tension, bending, and torsion deformations. Under tension, carbyne is about twice as stiff as the stiffest known materials and has an unrivaled specific strength of up to 7.5 × 10(7) N·m/kg, requiring a force of ∼10 nN to break a single atomic chain. Carbyne has a fairly large room-temperature persistence length of about 14 nm. Surprisingly, the torsional stiffness of carbyne can be zero but can be "switched on" by appropriate functional groups at the ends. Further, under appropriate termination, carbyne can be switched into a magnetic semiconductor state by mechanical twisting. We reconstruct the equivalent continuum elasticity representation, providing the full set of elastic moduli for carbyne, showing its extreme mechanical performance (e.g., a nominal Young's modulus of 32.7 TPa with an effective mechanical thickness of 0.772 Å). We also find an interesting coupling between strain and band gap of carbyne, which is strongly increased under tension, from 2.6 to 4.7 eV under a 10% strain. Finally, we study the performance of carbyne as a nanoscale electrical cable and estimate its chemical stability against self-aggregation, finding an activation barrier of 0.6 eV for the carbyne-carbyne cross-linking reaction and an equilibrium cross-link density for two parallel carbyne chains of 1 cross-link per 17 C atoms (2.2 nm).
Overview
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
Verification
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.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
Kresse, G., & Furthmüller, J. (1996) · Physical Review B · doi:10.1103/physrevb.54.11169 · Cited by 123,652
Electric Field Effect in Atomically Thin Carbon Films
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Zhang, Y., Dubonos, S. V., Grigorieva, I. V., & Firsov, A. A. (2004) · Science · doi:10.1126/science.1102896 · Cited by 66,834
Ab initio molecular dynamics for liquid metals
Kresse, G., & Hafner, J. (1993) · Physical Review B · doi:10.1103/physrevb.47.558 · Cited by 45,727
Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene
Lee, C., Wei, X., Kysar, J. W., & Hone, J. (2008) · Science · doi:10.1126/science.1157996 · Cited by 20,847
Hybrid functionals based on a screened Coulomb potential
Heyd, J., Scuseria, G. E., & Ernzerhof, M. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1564060 · Cited by 19,629
Kroto, H. W., Heath, J. R., O’Brien, S. C., Curl, R. F., & Smalley, R. E. (1985) · Nature · doi:10.1038/318162a0 · Cited by 16,083
Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)]
Perdew, J. P., Burke, K., & Ernzerhof, M. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.1396 · Cited by 14,614
Ultrahigh electron mobility in suspended graphene
Bolotin, K. I., Sikes, K. J., Jiang, Z., Klima, M., Fudenberg, G., Hone, J., Kim, P., & Stormer, H. L. (2008) · Solid State Communications · doi:10.1016/j.ssc.2008.02.024 · Cited by 8,057
Heyd, J., Scuseria, G. E., & Ernzerhof, M. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2204597 · Cited by 5,288
Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies
Hybertsen, M. S., & Louie, S. G. (1986) · Physical Review B · doi:10.1103/physrevb.34.5390 · Cited by 3,963
Smith, S. B., Cui, Y., & Bustamante, C. (1996) · Science · doi:10.1126/science.271.5250.795 · Cited by 2,770
Stevens, W. J., Basch, H., & Krauss, M. (1984) · The Journal of Chemical Physics · doi:10.1063/1.447604 · Cited by 2,141
Ab initio calculation of ideal strength and phonon instability of graphene under tension
Liu, F., Ming, P., & Li, J. (2007) · Physical Review B · doi:10.1103/physrevb.76.064120 · Cited by 1,447
Hagerman, P. J. (1988) · Annual Review of Biophysics and Biophysical Chemistry · doi:10.1146/annurev.bb.17.060188.001405 · Cited by 1,041
Ab initio structural, elastic, and vibrational properties of carbon nanotubes
Sánchez-Portal, D., Artacho, E., Soler, J. M., Rubio, A., & Ordejón, P. (1999) · Physical Review B · doi:10.1103/physrevb.59.12678 · Cited by 952
Xue, Y., Datta, S., & Ratner, M. A. (2002) · Chemical Physics · doi:10.1016/s0301-0104(02)00446-9 · Cited by 762
Deriving Carbon Atomic Chains from Graphene
Jin, C., Lan, H., Peng, L., Suenaga, K., & Iijima, S. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.205501 · Cited by 629
Synthesis of polyynes to model the sp-carbon allotrope carbyne
Chalifoux, W. A., & Tykwinski, R. R. (2010) · Nature Chemistry · doi:10.1038/nchem.828 · Cited by 529
Persistence Length of Single-Stranded DNA
Tinland, B., Pluen, A., Sturm, J., & Weill, G. (1997) · Macromolecules · doi:10.1021/ma970381+ · Cited by 519
High strain rate fracture and C-chain unraveling in carbon nanotubes
Yakobson, B. I., Campbell, M. P., Brabec, C. J., & Bernholc, J. (1997) · Computational Materials Science · doi:10.1016/s0927-0256(97)00047-5 · Cited by 516
Self-citationSynthesis of Linear Acetylenic Carbon: The " sp " Carbon Allotrope
Lagow, R. J., Kampa, J. J., Wei, H.-C., Battle, S. L., Genge, J. W., Laude, D. A., Harper, C. J., Bau, R., Stevens, R. C., Haw, J. F., et al. (1995) · Science · doi:10.1126/science.267.5196.362 · Cited by 353
Theoretical Strength and Cleavage of Diamond
Telling, R. H., Pickard, C. J., Payne, M. C., & Field, J. E. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.5160 · Cited by 333
A New Allotropic Form of Carbon from the Ries Crater
El Goresy, A., & Donnay, G. (1968) · Science · doi:10.1126/science.161.3839.363 · Cited by 263
Symmetry-, time-, and temperature-dependent strength of carbon nanotubes
Dumitrica, T., Hua, M., & Yakobson, B. I. (2006) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0600945103 · Cited by 255
Self-citationElectrical Transport Measured in Atomic Carbon Chains
Cretu, O., Botello-Mendez, A. R., Janowska, I., Pham-Huu, C., Charlier, J.-C., & Banhart, F. (2013) · Nano Letters · doi:10.1021/nl4018918 · Cited by 225
Boehm., H. P., Clauss, A., Fischer, G. O., & Hofmann, U. (1962) · Zeitschrift für Naturforschung B · doi:10.1515/znb-1962-0302 · Cited by 224
Structure and Bonding in Carbon ClustersC14toC24: Chains, Rings, Bowls, Plates, and Cages
Jones, R. O., & Seifert, G. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.443 · Cited by 173
Negative Differential Resistance in Carbon Atomic Wire-Carbon Nanotube Junctions
Khoo, K. H., Neaton, J. B., Son, Y. W., Cohen, M. L., & Louie, S. G. (2008) · Nano Letters · doi:10.1021/nl8017143 · Cited by 172
Mechanically Induced Metal–Insulator Transition in Carbyne
Artyukhov, V. I., Liu, M., & Yakobson, B. I. (2014) · Nano Letters · doi:10.1021/nl5017317 · Cited by 167
Self-citationAb-initioElectron Transport Calculations of Carbon Based String Structures
Tongay, S., Senger, R. T., Dag, S., & Ciraci, S. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.136404 · Cited by 163
Electron Correlation in C 4 N + 2 Carbon Rings: Aromatic versus Dimerized Structures
Torelli, T., & Mitas, L. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.1702 · Cited by 142
A new type of insulated molecular wire: a rotaxane derived from a metal-capped conjugated tetrayne
Weisbach, N., Baranová, Z., Gauthier, S., Reibenspies, J. H., & Gladysz, J. A. (2012) · Chemical Communications · doi:10.1039/c2cc33321j · Cited by 104
Synthesis of Polyyne Rotaxanes
Movsisyan, L. D., Kondratuk, D. V., Franz, M., Thompson, A. L., Tykwinski, R. R., & Anderson, H. L. (2012) · Organic Letters · doi:10.1021/ol301392t · Cited by 99
Small but Strong Lessons from Chemistry for Nanoscience
Hoffmann, R. (2012) · Angewandte Chemie International Edition · doi:10.1002/anie.201206678 · Cited by 99
Hayatsu, R., Scott, R. G., Studier, M. H., Lewis, R. S., & Anders, E. (1980) · Science · doi:10.1126/science.209.4464.1515 · Cited by 98
The minimal nanowire: Mechanical properties of carbyne
Nair, A. K., Cranford, S. W., & Buehler, M. J. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/95/16002 · Cited by 95
Helical frontier orbitals of conjugated linear molecules
Hendon, C. H., Tiana, D., Murray, A. T., et al. (2013) · Chemical Science · doi:10.1039/c3sc52061g · Cited by 89
Ab initiomany-body calculations on infinite carbon and boron-nitrogen chains
Abdurahman, A., Shukla, A., & Dolg, M. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.65.115106 · Cited by 75
Second-order Jahn-Teller effect on carbon4N+2member ring clusters
Saito, M., & Okamoto, Y. (1999) · Physical Review B · doi:10.1103/physrevb.60.8939 · Cited by 64
Switching Behavior of Carbon Chains Bridging Graphene Nanoribbons: Effects of Uniaxial Strain
Akdim, B., & Pachter, R. (2011) · ACS Nano · doi:10.1021/nn102403j · Cited by 63
Development of bond-length alternation in very large carbon rings: LDA pseudopotential results
Bylaska, E. J., Weare, J. H., & Kawai, R. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.58.r7488 · Cited by 53
Atomic strings of group IV, III–V, and II–VI elements
Tongay, S., Durgun, E., & Çiraci, S. (2004) · Applied Physics Letters · doi:10.1063/1.1839647 · Cited by 33
Ganster, J., Fink, H., & Zenke, I. (1991) · Polymer · doi:10.1016/0032-3861(91)90389-z · Cited by 14
Calculating Cumulene/Poly-yne Isomerization Energies
Pomerantz, A. E., Han, J. H., & Musgrave, C. B. (2004) · The Journal of Physical Chemistry A · doi:10.1021/jp0372744 · Cited by 10
Cited by
Georgakilas, V., Perman, J. A., Tucek, J., & Zboril, R. (2015) · Chemical Reviews · doi:10.1021/cr500304f · Cited by 2,147
Carbon-atom wires: 1-D systems with tunable properties
Casari, C. S., Tommasini, M., Tykwinski, R. R., & Milani, A. (2016) · Nanoscale · doi:10.1039/c5nr06175j · Cited by 305
Chemistry of Cyclo[18]Carbon (C 18 ): A Review
Pooja, Yadav, S., & Pawar, R. (2024) · The Chemical Record · doi:10.1002/tcr.202400055 · Cited by 26
Metadata
- Authors
- Liu, M., Artyukhov, V. I., Lee, H., Xu, F., & Yakobson, B. I.
- Venue
- ACS Nano
- Publisher
- American Chemical Society (ACS)
- Published
- 2013-10-10
- Volume
- 7
- Issue
- 11
- Pages
- 10075-10082
- ISSN
- 1936-0851 (ISSN-L)
- 1936-086X
- OpenAlex
- W2086962411
- Cited by
- 451
- References
- 45
- FWCI
- 14.21
- Type
- journal article
- Language
- en
- Open access
- green
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
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.