Abstract
Recent experiments reported a substantial toughening of nanotwinned diamond (nt-diamond) composite with coherently interfaced diamond polytypes (different stacking sequences). This discovery emphasizes the diversity of graphite-like structures in carbon onion precursors for synthesizing nt-diamond composite. We designed five new graphitic polytypes to investigate structural diversity in graphitic systems. Under ambient pressure, the energies of all the proposed polytypes are between those of graphite (AB structure) and a previously predicted AA structure. Dynamic and elastic stability results showed that four structures (AB'C', AB'D', AAB and ABCB) can be stable under ambient pressure. These four structures all have a large interlayer distance comparable to those in carbon onion and turbostratic graphite. Chiral graphitic structures (AB'D' and AB'C') with reversible electrical properties under slight stress might be responsible for the controversy about the bandgap of graphitic samples. Therefore, these four structures are most likely to be a part of the structures existing in carbon onion and turbostratic graphite or are structural defects in graphitic samples.
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References
Lipson H, Stokes AR (1942) The structure of graphite. Proc R Soc A Math Phys Eng Sci 181:101–105. https://doi.org/10.1098/rspa.1942.0063
Oya A, Marsh H (1982) Phenomena of catalytic graphitization. J Mater Sci 17:309–322. https://doi.org/10.1007/BF00591464
Klimenkov VI (1962) Behavior of graphite in nuclear reactor stacks. Sov J At Energy 10:439–450. https://doi.org/10.1007/BF01674506
García N, Esquinazi P, Barzola-Quiquia J, Dusari S (2012) Evidence for semiconducting behavior with a narrow band gap of Bernal graphite. New J Phys. https://doi.org/10.1088/1367-2630/14/5/053015
Evans TE, Moyer RA, Burrell KH et al (2006) Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas. Nat Phys 2:419–423. https://doi.org/10.1038/nphys312
Trogadas P, Fuller TF, Strasser P (2014) Carbon as catalyst and support for electrochemical energy conversion. Carbon 75:5–42. https://doi.org/10.1016/j.carbon.2014.04.005
Raccichini R, Varzi A, Passerini S, Scrosati B (2015) The role of graphene for electrochemical energy storage. Nat Mater 14:271. https://doi.org/10.1038/nmat4170
Li Y, Zhou W, Wang H et al (2012) An oxygen reduction electrocatalyst based on carbon nanotube–graphene complexes. Nat Nanotechnol 7:394. https://doi.org/10.1038/nnano.2012.72
Bonaccorso F, Colombo L, Yu G et al (2015) Graphene, related two-dimensional crystals and hybrid systems for energy conversion and storage. Science 347:41
Pumera M (2011) Graphene-based nanomaterials for energy storage. Energy Environ Sci 4:668–674. https://doi.org/10.1039/c0ee00295j
Que Y, Xiao W, Chen H et al (2015) Stacking-dependent electronic property of trilayer graphene epitaxially grown on Ru (0001). Appl Phys Lett 107:263101. https://doi.org/10.1063/1.4938466
Charlier JC, Michenaud JP, Lambin P (1992) Tight-binding density of electronic states of pregraphitic carbon. Phys Rev B 46:4540–4543. https://doi.org/10.1103/PhysRevB.46.4540
Choucair M, Stride JA (2012) The gram-scale synthesis of carbon onions. Carbon 50:1109–1115. https://doi.org/10.1016/j.carbon.2011.10.023
Charlier JC, Gonze X, Michenaud JP (1994) First-principles study of the stacking effect on the electronic properties of graphite (s). Carbon 32:289–299. https://doi.org/10.1016/0008-6223(94)90192-9
Bacon G (1950) A note on the rhombohedral modification of graphite. Acta Crystallogr 3:320. https://doi.org/10.1107/S0365110X50000872
Gasparoux H (1967) Modification des propriétés magnétiques du graphite par création de sequences rhomboédriques. Carbon 5:441–451
Horiuchi S, Gotou T, Fujiwara M et al (2003) Carbon nanofilm with a new structure and property. Jpn J Appl Physics Part 2 Lett. 42:1073–1076. https://doi.org/10.1143/JJAP.42.L1073
Hwang J, Shields VB, Thomas CI et al (2010) Epitaxial growth of graphitic carbon on C-face SiC and sapphire by chemical vapor deposition (CVD). J Cryst Growth 312:3219–3224. https://doi.org/10.1016/J.JCRYSGRO.2010.07.046
Juang ZY, Wu CY, Lu AY et al (2010) Graphene synthesis by chemical vapor deposition and transfer by a roll-to-roll process. Carbon 48:3169–3174. https://doi.org/10.1016/j.carbon.2010.05.001
Rong ZY, Kuiper P (1993) Electronic effects in scanning-tunneling-microscopy-moire pattern on a graphite surface. Phys Rev B 48:17427–17431. https://doi.org/10.1103/PhysRevB.48.17427
Campanera JM, Savini G, Suarez-Martinez I, Heggie MI (2007) Density functional calculations on the intricacies of Moiré patterns on graphite. Phys Rev B 75:235449. https://doi.org/10.1103/PhysRevB.75.235449
Biedermann LB, Bolen ML, Capano MA et al (2009) Insights into few-layer epitaxial graphene growth on 4H-SiC(000 1) substrates from STM studies. Phys Rev B 79:125411. https://doi.org/10.1103/PhysRevB.79.125411
Lui CH, Malard LM, Kim S et al (2012) Observation of layer-breathing mode vibrations in few-layer graphene through combination Raman scattering. Nano Lett 12:5539–5544. https://doi.org/10.1021/nl302450s
Ellis CT, Stier AV, Kim M et al (2013) Magneto-optical fingerprints of distinct graphene multilayers using the giant infrared Kerr effect. Sci Rep 3:3143. https://doi.org/10.1038/srep03143
Lalmi B, Girard JC, Pallecchi E et al (2015) Flower-shaped domains and wrinkles in trilayer epitaxial graphene on silicon carbide. Sci Rep 4:4066. https://doi.org/10.1038/srep04066
Novoselov KS, Geim AK, Morozov SV et al (2004) Electric field effect in atomically thin carbon films. Science 306:666–669. https://doi.org/10.1126/science.1102896
Mak KF, Sfeir MY, Misewich JA, Heinz TF (2010) The evolution of electronic structure in few-layer graphene revealed by optical spectroscopy. Proc Natl Acad Sci 107:14999–15004. https://doi.org/10.1073/pnas.1004595107
Zhang L, Zhang Y, Camacho J et al (2011) The experimental observation of quantum Hall effect of l=3 chiral quasiparticles in trilayer graphene. Nat Phys 7:953–957. https://doi.org/10.1038/nphys2104
Cao Y, Fatemi V, Demir A et al (2018) Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature 556:80–84. https://doi.org/10.1038/nature26154
Cao Y, Fatemi V, Fang S et al (2018) Unconventional superconductivity in magic-angle graphene superlattices. Nature 556:43–50. https://doi.org/10.1038/nature26160
Lenski DR, Fuhrer MS (2011) Raman and optical characterization of multilayer turbostratic graphene grown via chemical vapor deposition. J Appl Phys 110:13720. https://doi.org/10.1063/1.3605545
Savini G, Dappe YJ, Öberg S et al (2011) Bending modes, elastic constants and mechanical stability of graphitic systems. Carbon 49:62–69. https://doi.org/10.1016/j.carbon.2010.08.042
Charlier JC, Michenaud JP, Gonze X (1992) First-principles study of the electronic properties of simple hexagonal graphite. Phys Rev B 46:4531–4539. https://doi.org/10.1103/PhysRevB.46.4531
Scandolo S, Bernasconi M, Chiarotti GL et al (1995) Pressure-induced transformation path of graphite to diamond. Phys Rev Lett 74:4015–4018. https://doi.org/10.1103/PhysRevLett.74.4015
Kolmogorov AN, Crespi VH (2005) Registry-dependent interlayer potential for graphitic systems. Phys Rev B 71:235415. https://doi.org/10.1103/PhysRevB.71.235415
Mailhiot C, McMahan AK (1991) Atmospheric-pressure stability of energetic phases of carbon. Phys Rev B 44:11578–11591. https://doi.org/10.1103/PhysRevB.44.11578
Zoraghi M, Barzola-Quiquia J, Stiller M et al (2017) Influence of rhombohedral stacking order in the electrical resistance of bulk and mesoscopic graphite. Phys Rev B 95:045308. https://doi.org/10.1103/PhysRevB.95.045308
Huang Q, Yu D, Xu B et al (2014) Nanotwinned diamond with unprecedented hardness and stability. Nature 510:250–253. https://doi.org/10.1038/nature13381
Yue Y, Gao Y, Hu W et al (2020) Hierarchically structured diamond composite with exceptional toughness. Nature 582:370–374. https://doi.org/10.1038/s41586-020-2361-2
Boulfelfel SE, Oganov AR, Leoni S (2012) Understanding the nature of “superhard graphite.” Sci Rep 2:471. https://doi.org/10.1038/srep00471
Avery P, Wang X, Oses C et al (2019) Predicting superhard materials via a machine learning informed evolutionary structure search. NPJ Comput Mater 5:89. https://doi.org/10.1038/s41524-019-0226-8
Hoffmann R, Kabanov AA, Golov AA, Proserpio DM (2016) Homo citans and carbon allotropes: For an ethics of citation. Angew Chemie Int Ed 55:10962–10976. https://doi.org/10.1002/anie.201600655
Garvie LAJ, Nemeth P, Buseck PR (2014) Transformation of graphite to diamond via a topotactic mechanism. Am Mineral 99:531–538. https://doi.org/10.2138/am.2014.4658
Németh P, McColl K, Garvie LAJ et al (2020) Complex nanostructures in diamond. Nat Mater 19:1126–1131. https://doi.org/10.1038/s41563-020-0759-8
Németh P, McColl K, Smith RL et al (2020) Diamond-Graphene Composite Nanostructures. Nano Lett 20:3611–3619. https://doi.org/10.1021/acs.nanolett.0c00556
Materials Studio Program, version 7.0; Accelrys Inc.: San Diego, CA, 2012
Luo K, Yuan X, Zhao Z et al (2017) New hexagonal boron nitride polytypes with triple-layer periodicity. J Appl Phys 121:165102. https://doi.org/10.1063/1.4981892
Clark SJ, Segall MD, Pickard CJ et al (2005) First principles methods using CASTEP. Zeitschrift für Krist-Cryst Mater 220:567–570. https://doi.org/10.1524/zkri.220.5.567.65075
Hamann DR, Schlüter M, Chiang C (1979) Norm-conserving pseudopotentials. Phys Rev Lett 43:1494. https://doi.org/10.1103/PhysRevLett.43.1494
Monkhorst HJ, Pack JD (1976) Special points for Brillouin-zone integrations. Phys Rev B 13:5188. https://doi.org/10.1103/PhysRevB.13.5188
Ortmann F, Bechstedt F, Schmidt WG (2006) Semiempirical van der Waals correction to the density functional description of solids and molecular structures. Phys Rev B 73:205101. https://doi.org/10.1103/PhysRevB.73.205101
Perdew JP, Chevary JA, Vosko SH et al (1993) Erratum: Atoms, molecules, solids and surfaces: Applications of the generalized gradient approximation for exchange and correlation. Phys Rev B 48:4978. https://doi.org/10.1103/PhysRevB.48.4978.2
Pfrommer BG, Côté M, Louie SG, Cohen ML (1997) Relaxation of Crystals with the Quasi-Newton Method. J Comput Phys 131:233–240. https://doi.org/10.1006/jcph.1996.5612
Chan MKY, Ceder G (2010) Efficient band gap prediction for solids. Phys Rev Lett 105:196403. https://doi.org/10.1103/PhysRevLett.105.196403
Krukau AV, Vydrov OA, Izmaylov AF, Scuseria GE (2006) Influence of the exchange screening parameter on the performance of screened hybrid functionals. J Chem Phys 125:224106. https://doi.org/10.1063/1.2404663
Baroni S, Giannozzi P, Testa A (1987) Green’s-function approach to linear response in solids. Phys Rev Lett 58:1861–1864. https://doi.org/10.1103/PhysRevLett.58.1861
Giannozzi P, de Gironcoli S, Pavone P, Baroni S (1991) Ab initio calculation of phonon dispersions in semiconductors. Phys Rev B 43:7231–7242. https://doi.org/10.1103/PhysRevB.43.7231
Setyawan W, Curtarolo S (2010) High-throughput electronic band structure calculations: Challenges and tools. Comput Mater Sci 49:299–312. https://doi.org/10.1016/j.commatsci.2010.05.010
Curtarolo S, Setyawan W, Hart GLW et al (2012) AFLOW: An automatic framework for high-throughput materials discovery. Comput Mater Sci 58:218–226. https://doi.org/10.1016/j.commatsci.2012.02.005
Bosak A, Krisch M, Mohr M et al (2007) Elasticity of single-crystalline graphite: Inelastic x-ray scattering study. Phys Rev B 75:153408. https://doi.org/10.1103/PhysRevB.75.153408
Ceperley DM, Alder BJ (1980) Ground state of the electron gas by a stochastic method. Phys Rev Lett 45:566–569. https://doi.org/10.1103/PhysRevLett.45.566
Perdew JP, Zunger A (1981) Self-interaction correction to density-functional approximations for many-electron systems. Phys Rev B 23:5048–5079. https://doi.org/10.1103/physrevb.23.5048
Perdew JP, Burke K, Ernzerhof M (1996) Generalized dradient approximation made simple. Phys Rev Lett 77:3865–3868. https://doi.org/10.1103/PhysRevLett.77.3865
Tkatchenko A, Scheffler M (2009) Accurate molecular Van Der Waals interactions from ground-state electron density and free-atom reference data. Phys Rev Lett 102:73004–73005. https://doi.org/10.1103/PhysRevLett.102.073005
Grimme S (2006) Semiempirical GGA-type density functional constructed with a long-range dispersion correction. J Comput Chem 27:1787–1799. https://doi.org/10.1002/jcc.20495
Torche A, Mauri F, Charlier JC, Calandra M (2017) First-principles determination of the Raman fingerprint of rhombohedral graphite. Phys Rev Mater 1:041001. https://doi.org/10.1103/PhysRevMaterials.1.041001
Lin CY, Wu JY, Ou YJ et al (2015) Magneto-electronic properties of multilayer graphenes. Phys Chem Chem Phys 17:26008–26035. https://doi.org/10.1039/C5CP05013H
Do TN, Lin CY, Lin YP et al (2015) Configuration-enriched magneto-electronic spectra of AAB-stacked trilayer graphene. Carbon 94:619–632. https://doi.org/10.1016/j.carbon.2015.07.027
Chiu CW, Chen RB (2016) Influence of electric fields on absorption spectra of AAB-stacked trilayer graphene. Appl Phys Express 9:065103. https://doi.org/10.7567/APEX.9.065103
Do TN, Chang CP, Shih PH, Lin MF (2017) Stacking-enriched magneto-transport properties of few-layer graphenes. Phys Chem Chem Phys 19:29525–29533. https://doi.org/10.1039/c7cp05614a
Born M (1940) On the stability of crystal lattices. I Math Proc Cambridge Philos Soc 36:160–172. https://doi.org/10.1017/S0305004100017138
Born M, Huang K (1954) Dynamical theory of crystal lattices. Am J Phys 23:474. https://doi.org/10.1119/1.1934059
Mouhat F, Coudert F-X (2014) Necessary and sufficient elastic stability conditions in various crystal systems. Phys Rev B 90:224104. https://doi.org/10.1103/PhysRevB.90.224104
Anees P, Valsakumar MC, Chandra S, Panigrahi BK (2014) Ab initio study on stacking sequences, free energy, dynamical stability and potential energy surfaces of graphite structures. Model Simul Mater Sci Eng 22:035016. https://doi.org/10.1088/0965-0393/22/3/035016
Wallace PR (1947) The Band Theory of Graphite. Phys Rev 71:622–634. https://doi.org/10.1103/PhysRev.71.622
Acknowledgements
This work was supported by the national key research and development program of China (Grant No. 2018YFA0305900) and the national natural science foundation of China (Grants Nos. 91963203, 51722209, 51272227 and 51525205). Z. Zhao acknowledges NSF for Distinguished young scholars of Hebei Province of China (Grants No. E2018203349). K. Luo also acknowledges the project funded by China postdoctoral science foundation (2017M620097).
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Han, Q., Luo, K., Sun, L. et al. Structural diversity, large interlayer spacing and switchable electronic properties of graphitic systems. J Mater Sci 56, 5509–5519 (2021). https://doi.org/10.1007/s10853-020-05657-5
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DOI: https://doi.org/10.1007/s10853-020-05657-5