Abstract
Complexes of Li, Na, and Mg with graphene, silicene, phosphorene nanoflakes (NFs), and their 2D allotropies have been studied at dispersion corrected TPSS/def-TZVP level of theory. The energy partition analysis of the complexes revealed that for most of the complexes exchange and correlation energies represent dominant contributions to the binding with strong charge transfer from the metal atom to a NF. The exceptions are Mg complexes of graphene and phosphorene NFs where binding is due to dispersion and correlation terms. This difference is also reflected in large Mg-NF distances suggesting weak intermolecular interactions in these complexes. The calculated activation energies for metal hopping are easily achievable at room temperatures for carbon and silicon allotropies. However, they are significantly higher for phosphorus allotropies reaching almost 18 kcal/mol. Generally, activation energies for hopping increase with binding energies for graphene, silicene, and phosphorene NFs. This trend does not observe however for graphene, silicene, and phosphorene 2D allotropies.
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References
Novoselov KS, A K Geim, S V Morozov, et al (2004) Electric field effect in atomically thin carbon films. Science 306:666–669. https://doi.org/10.1126/science.1102896
Joensen P, Frindt RF, Morrison SR (1986) Single-layer MoS2. Mater Res Bull 21:457–461. https://doi.org/10.1016/0025-5408(86)90011-5
Chang H, Wu H (2013) Graphene-based nanomaterials: synthesis, properties, and optical and optoelectronic applications. Adv Func Mat 23: https://doi.org/10.1002/adfm.201202460
Aufray B, Kara A, Vizzini S, et al (2010) Graphene-like silicon nanoribbons on Ag(110): A possible formation of silicene. App Phys Lett 96: https://doi.org/10.1063/1.3419932
Lalmi B, Oughaddou H, Enriquez H, et al (2010) Epitaxial growth of a silicene sheet. App Phys Lett 97: https://doi.org/10.1063/1.3524215
Castellanos-Gomez A (2015) Black phosphorus: narrow gap, wide applications. The Journal of Physical Chemistry Letters 6: https://doi.org/10.1021/acs.jpclett.5b01686
Dávila ME, Xian L, Cahangirov S, et al (2014) Germanene: a novel two-dimensional germanium allotrope akin to graphene and silicene. New J Phys 16: https://doi.org/10.1088/1367-2630/16/9/095002
Mannix AJ, Zhou X-F, Kiraly B, et al (2015) Synthesis of borophenes: anisotropic, two-dimensional boron polymorphs. Science 350: https://doi.org/10.1126/science.aad1080
Feng B, Zhang J, Zhong Q, et al (2016) Experimental realization of two-dimensional boron sheets. Nat Chem 8 https://doi.org/10.1038/nchem.2491
Enyashin AN, Ivanovskii AL (2011) Graphene allotropes physica status solidi (b) 248:1879–1883. https://doi.org/10.1002/pssb.201046583
Chuvilin A, Meyer JC, Algara-Siller G, Kaiser U (2009) From graphene constrictions to single carbon chains. New J Phys 11:083019. https://doi.org/10.1088/1367-2630/11/8/083019
de la Garza CGV, Narváez WEV, Rodríguez LDS, Fomine S (2021) Novel 2D allotropic forms and nanoflakes of silicon, phosphorus, and germanium: a computational study. J Mol Model 27:142. https://doi.org/10.1007/s00894-021-04775-4
Mpourmpakis G, Froudakis GE, Tylianakis E (2006) Haeckelites: a promising anode material for lithium batteries application. An ab initio and molecular dynamics theoretical study. Applied Physics Letters 89: https://doi.org/10.1063/1.2403922
Xu Y, Wu X, Ji X (2021) The Renaissance of Proton Batteries. Small Structures 2:. https://doi.org/10.1002/sstr.202000113
Slater MD, Kim D, Lee E, Johnson CS (2013) Sodium-ion batteries. Adv Func Mater 23: https://doi.org/10.1002/adfm.201200691
Aurbach D, Lu Z, Schechter A, et al (2000) Prototype systems for rechargeable magnesium batteries. Nature 407: https://doi.org/10.1038/35037553
Tao J, Perdew JP, Staroverov VN, Scuseria GE (2003) Climbing the density functional ladder: nonempirical meta–generalized gradient approximation designed for molecules and solids. Phys Rev Lett 91: https://doi.org/10.1103/PhysRevLett.91.146401
Schäfer A, Huber C, Ahlrichs R (1994) Fully optimized contracted Gaussian basis sets of triple zeta valence quality for atoms Li to Kr. J Chem Phys 100: https://doi.org/10.1063/1.467146
Grimme S, Ehrlich S, Goerigk L (2011) Effect of the damping function in dispersion corrected density functional theory. J Comput Chem 32: https://doi.org/10.1002/jcc.21759
TURBOMOLE V7.5 2020, a development of University of Karlsruhe and Forschungszentrum Karlsruhe GmbH, 1989–2007, TURBOMOLE GmbH, since 2007; available from https://www.turbomole.org
Su P, Li H (2009) Energy decomposition analysis of covalent bonds and intermolecular interactions. The Journal of Chemical Physics 131: https://doi.org/10.1063/1.3159673
Funding
We acknowledge the financial support from PAPIIT (IN201219/31) and the financial support from CONACyT (Grant 251684). W.E.V.N. acknowledges support from DGAPA of the UNAM under postdoctoral fellowship Grant No. CJIC/CTIC/4732/2O2O.
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Cesar Gabriel Vera de la Garza—a PhD student—performed EDA analysis.
Wilmer Esteban Vallejo Narváez—a postdoctoral fellow—transition state search, and partial manuscript writing.
Luis Daniel Solís Rodríguez—an undergraduate student—routine optimizations of complexes.
Seguei Fomine—group leader—the manuscript idea and writing.
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PAPIIT (IN201219/31)
CONACyT (Grant 251,684).
DGAPA of the UNAM under postdoctoral fellowship Grant No. CJIC/CTIC/4732/2O2O.
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Narváez, W.E.V., de la Garza, C.G.V., Rodríguez, L.D.S. et al. Complexes of Li, Na, and Mg with 2D allotropies of second and third period: a theoretical study. J Mol Model 28, 22 (2022). https://doi.org/10.1007/s00894-021-05019-1
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DOI: https://doi.org/10.1007/s00894-021-05019-1