Electronic structures of diamane doped with metal atoms

Shiyang Fu, Qiyuan Yu, Junsong Liu, Nan Gao* and Hongdong Li*
State Key Lab of Superhard Materials, College of Physics, Jilin University, Changchun 130012, China. E-mail: gaon@jlu.edu.cn; hdli@jlu.edu.cn

Received 11th June 2024 , Accepted 15th August 2024

First published on 16th August 2024


Abstract

High pressure and temperature are normally required for the transformation of the graphene bilayer into diamane, thus, finding a method that is beneficial for diamane formation is promising. In this study, it is found that the graphene bilayer transforms into diamane by adding metal atoms (Ti, Co, Ni and Pt atoms for example) with a reduced energy barrier. Additionally, we investigate the structural and electronic properties of diamane doped with 19 metal atoms (Li, Na, Mg, Al, K, Ca, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Pd, Ag, Pt and Au) using first principles calculations. Our results indicate that more metal atoms can be stably doped into fluorinated diamane compared to hydrogenated diamane. Furthermore, the doped structures exhibit reduced band gaps due to the introduction of dopants, specifically, Ca–C64F31, Mg–C63F31, Ca–C63F31, V–C63F31, Mn–C63F31 and Ni–C63F31 structures show semi-metallic behavior. This research would provide novel insights into diamane synthesis.


1. Introduction

Since its successful synthesis, graphene has been eagerly explored for its structures, properties and applications.1–3 Due to the limitation of the zero-gap, the hydrogenated and fluorinated graphenes (graphane and fluorographene) have large bandgaps,2,4 which is quite exceptional for their electronic applications. Recently, diamane (single-layer diamond) has emerged as a novel two-dimensional material.5–7 Different from graphene, surface functionalization (such as hydrogenation, fluorination,8,9 and oxidation10), substitution, or reconstruction11 of diamane are necessary for its structural stability.12,13 Diamane maintains a diamond-like structure with excellent mechanical flexibility and resistance to deformation, and shows high elastic constants (C11 of 526.28–798.09 N m−1)14–16 and Young's modulus (485–519.86 N m−1[thin space (1/6-em)]14,17 and 795 GPa).16 Also, its elastic properties significantly exceed those of many two-dimensional materials, such as MoS2 (C11 of 140 N m−1),18 phosphorene (Young's modulus of 92.39 N m−1)19 and arsenene (Young's modulus of 31.3895 GPa).20 Its two-dimensional size facilitates remarkable thermoelectric and piezoelectric properties.15 Predicted by density functional theory (DFT) calculations, fluorinated diamane (F-diamane) has a direct band gap of 3.86 eV, as well as a controllable bandgap and extraordinary carrier mobility,9,21 and is potentially applied in nano-optics, nanoelectronics, and nano-electromechanical systems. By constructing Janus and non-Janus structures, diamane shows a high negative Poisson's ratio, which is an indicator of excellent energy dissipation capabilities.22

Especially, by exposing bilayer graphene to hydrogen radicals or XeF2, hydrogenated diamane (H-diamane) and F-diamane have been successfully synthesized experimentally.23,24 The application of a graphene/diamane interface in a solar cell has been reported, and an efficiency of 31.2% is achieved.17 It is found that Cu- and Fe-doped diamanes are preferred for applying in electroreduction of CO2, and Ni-doped diamane is favorable for the hydrogen evolution reaction, due to the significantly enhanced CO2 adsorption ability facilitated by dopants.25 The results are different from those of transition metal dichalcogenides, which show enhanced adsorption interaction and selectivity for gas detection,26 while they are quite inert toward CO2. The difference in CO2 catalytic characteristics presents a potential advantage for diamane in the field of catalysis. Consequently, further investigation into its synthesis conditions and utilization in nano-electronic devices is highly promising.

Surface doping and atomic substitution enable the attainment of remarkable electronic properties, thereby presenting significant prospects for practical applications.27 In addition, defects and substitutional doping can induce the magnetic state,28,29 for example, graphane,30,31 arsenene32 and h-BN33 present magnetism upon doping or embedding metal atoms, and their electronic properties are changed. Diamane is a non-magnetic semiconductor, by substitutional doping with metal atoms, we suppose that diamane could show magnetism and unexpected electronic properties. On the other hand, due to the intricate synthesis conditions required for diamane, practical applications of diamane are impeded. It has been reported that B doping can lower the energy barrier for conversion of bilayer graphene to H-diamane34,35 and F-diamane.14 Additionally, it is reported that introducing transition metal atoms can promote the transformation of graphene into a bulk diamond phase.36,37 The influence of metal atom doping on diamane synthesis remains an open question. This motivates us to investigate the unrevealed magnetic and electronic properties of diamane by substitutional doping.

In this work, we used 19 kinds of metal atoms (Li, Na, Mg, Al, K, Ca, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Pd, Ag, Pt and Au) to investigate their effect on the conversion of bilayer graphene to a diamane structure, then the magnetic and electronic properties of metal-atom-doped/embedded diamane are studied based on the first-principles calculations.

2. Computational details

The calculations were carried out using DFT as implemented in the Vienna Ab-initio Simulation Package (VASP).38,39 The generalized gradient approximation (GGA) of the Perdew–Burke–Ernzerhof (PBE) functional was used for the exchange–correlation functional.40 As shown in Table S1 (ESI), we chose three functionals (PBE, LDA, and HSE06) to calculate the interlayer separation of F-diamane (2.054, 2.024, and 2.054 Å), which were similar to other results (2.06,41 2.0542 and 2.056 Å14) and experimental data (2.05 Å23). This indicates that the PBE functional was reliable for structural optimization. After comparison with experimental results (Table S1, ESI), the DFT-D3 correction was adopted to account for the van der Waals interaction.43 This correction method is applicable to all elements of the periodic table, to molecules and solids, within about 10% accuracy can be achieved, and it is robust, numerically stable, easily programmable, very fast, and allows for the straightforward computation of analytical gradient forces.44 In addition, the DFT-D3 method has been used for correcting the adsorption system's interaction for transition metal doped graphene,45 arsenene46 and transition-metal dichalcogenides.47 The projector-augmented wave (PAW) method was adopted to describe the interactions between the core electrons and valence electrons. The convergence criteria were set to be 10−5 eV Å−1 for the energy and 0.03 eV Å−1 for the maximal residual force. According to the convergence test results shown in Fig. S1 (ESI), a plane wave cutoff energy of 520 eV and the Monkhorst–Pack k-point sampling with a 4 × 4 × 1 mesh were utilized during structural relaxation and electronic property calculations. All calculations were performed with spin polarization. To avoid the artificial interaction between periodic images, a vacuum layer of 25 Å was added.

The energy barriers for the transformation of bilayer graphene into a diamane structure doped with a metal atom were calculated by using the climbing-image nudged elastic band (CI-NEB) method, in which variable spring constants were used to increase the density of images near the top of the energy barrier for improved estimation of the reaction coordinate near the saddle point.48 The geometry and energy of the transformations of the four intermediate images were optimized until the total energy became less than 10−4 eV. In order to reduce the interactions between metal atoms in adjacent supercells, a 4 × 4 supercell was used to study the structural and electronic properties, and a 2 × 2 supercell was used for the transition state calculations.

The formation energy (EF) of diamane from the graphene bilayer is defined as

 
image file: d4tc02420f-t1.tif(1)
where Etotal is the energy of pristine or doped diamane, and Egra represents the energy of bilayer graphene with or without vacancy defects, EH2 is the energy of H2 molecules, Emetal is the energy of a single metal atom. m and n correspond to the numbers of H atoms and total atoms in structures.

The binding energy (Eb) of metal atoms to a substrate is defined as

 
Eb = EtotalEmetalEsubstrate (2)
where Esubstrate is total energy of the substrate (H-diamane or F-diamane). Based on this definition, the larger the values of binding energies, the stronger is the chemical bonding with the interface.

The cohesive energy (Ecoh) of bulk metals is defined as

 
image file: d4tc02420f-t2.tif(3)
where Ebulk is the energy of a bulk structure.

3. Results and discussion

3.1 Phase-transition barrier and process

Fig. 1 shows the process of bilayer graphene transforming into a diamane structure. To simplify this process, we intentionally design the initial structure to ensure that the C atom and H atom on the other side do not directly participate in the reaction. It is because that this study focuses on the effect of transition metals on the energy barriers during the reaction. In addition, the synthesis of diamond and diamane is usually conducted in the H plasma24 or XeF2 vapour,23 which is easy for the formation of C–H or C–F bonds. A similar treatment has been used for the formation of bulk diamond.36
image file: d4tc02420f-f1.tif
Fig. 1 (a) Side view of the initial structure, transition state and final structure, (b) energy profiles for bilayer graphene conversion to diamane doped with Ti, Co, Ni and Pt atoms.

To investigate the impact of metal atoms on diamane formation, we introduce Ti, Co, Ni and Pt atoms for example attached to one side of bilayer graphene and cover the other side with H atoms. Simultaneously, we simulate the pristine H-diamane for comparison. When the two graphene layers approach each other, the sp2 C atoms change to the sp3 C atoms, and the interface C–C bonds form (Fig. 1a). As presented in Fig. 1b, the energy barrier of the system without a metal atom is about 0.0146 eV Å−2, suggesting that it is thermodynamically difficult to directly convert bilayer graphene into a diamane structure if no energy is applied. This conclusion is consistent with the experimental results that bilayer graphene diamondization could be realized by applying pressure and using adsorption chemistry of H or F plasma.6,23,24 When a metal atom (Ti, Co, Ni and Pt atoms here) is introduced, the energy barrier values reduce to 0.0064, 0.0008, 0.0074 and 0.0009 eV Å−2 during diamane formation, suggesting its facilitative role in converting bilayer graphene into diamane. Although the metal atom does not directly participate in the bond formation, it can still influence the reaction. The d orbitals of transition metals can interact with the molecular orbitals of carbon atoms, altering the electronic structure and energy of the reactants. This interaction can facilitate charge transfer and accumulation, as evidenced by previous reports on the use of transition metals to reduce the reaction barrier between graphite and diamond.36 In addition, the energy difference between the initial and final structures is smaller, when a metal atom is present. It is because that the bond strength between M and C atoms in doped diamane is weaker than the C–H bond energy in diamane.

3.2 H-diamane and F-diamane doped with a metal atom

In the following, we systemically investigate the structural and electronic properties of diamane doped with a metal. Both H-diamane and F-diamane are considered, and 19 kinds of metal atoms (Li, Na, Mg, Al, K, Ca, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Pd, Ag, Pt and Au) are selected. The lattice constants for pristine H-diamane and F-diamane are 2.529 Å and 2.561 Å, which are similar to the previous theoretical results (2.51–2.53 Å for H-diamane and 2.54–2.56 Å for F-diamane).22,41,49 First, a supercell with chemical formulae of C64H32 and C64F32 are built, and a H or F atom is replaced by a metal atom to construct a doped structure, which is named M–C64H31 or M–C64F31.

Fig. 2a shows a schematic diagram of a doped diamane structure. It is found that the substrate structure remains almost unaltered, and the metal atom moves out of the plane due to its large atom sizes. The distances between the metal atom and the nearest C atoms are 1.95–2.76 Å and 1.93–2.80 Å for M–C64H31 or M–C64F31, respectively (Table S2, ESI). To study the structural stability, we calculate the binding energy and compare it with the cohesive energy of bulk metals in Fig. 2b, and the data are listed in Table S2 (ESI). For H-diamane doped with metals, only Eb of K–C64H31 is more negative than Ecoh, other metal atoms have larger Ecoh than Eb. It suggests that K–C64H31 is stable, while the other metals would agglomerate on H-diamane. Especially, for F-diamane, Eb values of Li, Na, K, Al, Mg, Ca atom adsorbed structures are more negative than their Ecoh, thus they can be stably and uniformly doped on the surface. For stable doped structures, M–C bond lengths of K–C64H31, K–C64F31 and Ca–C64F31 are smaller than the sum of covalent radii, while others have slightly larger M–C bond lengths compared with the sum of covalent radii. Thus, the substantial adsorption energies in Table S2 (ESI) suggest that the interaction between the metal atoms and diamane is primarily chemisorption. It has been reported that F-diamane doped with Li (Li–C64F31) shows effectively increased adsorption capability, sensitivity energy and transferred charge between the substrate and volatile organic compounds, thus it is a promising sensing material.42


image file: d4tc02420f-f2.tif
Fig. 2 (a) Side and top views of diamane with metal atom absorption (M–C64H31 and M–C64F31). (b) Binding energies Eb for doped structures and cohesive energies Ecoh for bulk metals.

In the process of graphene transforming into diamane, the metal atoms involved in the reaction may also lead to substitution doping of C atoms. In addition, due to the less stable structures of M–C63H31 and M–C63F31, we built the metal-atom-embedded diamane structures, where a metal atom replaces the C and H (F) atoms, and the structures are defined as M–C63H31 or M–C63F31. As shown in Fig. 3, due to the larger room of C and H (F) atoms, metal atoms are embedded in diamane. The bond distances between the metal atoms and the nearest C atoms are 1.82–2.75 Å and 1.86–3.52 Å for M–C63H31 and M–C63F31 (Table S3, ESI). The K–C bond length is the largest, and the Co–C bond length is the shortest, because of their different atomic radii and electron affinities. As shown in Fig. 3b, only Co–C63H31 is the stable structure for H-diamane. For F-diamane, Li, Na, Mg, Al, K, Ca, Ti, V, Cr, Mn, Fe, Co and Ni structures are stable. Among the stable doped structures, the bond lengths of M–C for Co–C63H31, Al–C63F31, Fe–C63F31, Co–C63F31 and Ni–C63F31 are smaller than their summation of covalent bonds, indicating the covalent feature. Thus, the interaction of metals and C atoms is a weak polar covalent bond. As expected, more metals are stably doped into F-diamane. Since the F atom has a significantly higher electronegativity (3.98) than H (2.20), the polarity enhances the stability of the C–F bond, making it less susceptible to interaction with metal atoms. Conversely, the similar electronegativities between H and metal atoms can destabilize the C–H bond upon metal doping. A similar phenomenon has been observed in F and H terminated diamonds.50


image file: d4tc02420f-f3.tif
Fig. 3 (a) Side and top views of diamane embedded with metal atoms (M–C63H31 or M–C63F31). (b) Binding energies Eb for doped structures and cohesive energies Ecoh for bulk metals.

In addition, to further investigate the influence of metal atoms on diamane formation from the graphene bilayer, we calculate the formation energy of H/F-diamane with metal atoms (Fig. S2, ESI). The formation energy of H-diamane doped with metals (Al, Ti, Fe, Co, Ni, Cu, Pd, Pt and Au) is lower than that of pure H-diamane. This suggests that these transition metals positively influence the synthesis of H-diamane. It is consistent with the transition state results in Fig. 1, where the addition of transition metals reduces the formation of the energy barrier. However, in the case of F-diamane with metal atom absorption (M–C64F31), doping with metal atoms does not lead to a reduction in formation energy. For diamane embedded with metals, the formation energy decreases for Ti–C63H31, Co–C63H31, Ni–C63H31, Pt–C63H31, Ti–C63F31, V–C63F31, and Co–C63F31. The results indicate that the existence of these metals is beneficial for the formation of H-diamane or F-diamane, while other metals should be avoided in the formation process.

3.3 Electronic properties of H-diamane and F-diamane doped with a metal atom

The spin-polarized band structures of metal-atom-absorbed diamane are displayed in Fig. 4, and we only investigate the electronic properties of stable structures. It can be observed that the adsorption of metal atoms leads to the emergence of flat bands lower than the Fermi level, resulting in a reduced band gap. The flat bands near Fermi level are mainly contributed by diamane, with a slight contribution of doped atoms (Fig. S3, ESI). While the situation is different in Mg–C64F31 and Al–C64F31, the flat bands near the Fermi level are both contributed by doped atoms and diamane. In addition, there is evident orbital overlap between the p-orbital of the substrate and the s/p-orbital of metal atoms near the Fermi level, indicating a strong interaction. For Mg–C64F31 and Ca–C64F31 systems, spin splitting appears in band structures, indicating that magnetism exists in the structures. Especially, the Ca–C64F31 system exhibits half-metallic feature. s electrons for Li, Na, and K and 3p electrons for the Al atom could be paired with the dangling bond of the C atom, making non-magnetic structures. While for the case of Mg–C64F31 and Ca–C64F31, there are two s electrons in Mg and Ca atoms, the unpaired electron induces the polarization of electrons. For Mg–C64F31 and Al–C64F31, the orbital contribution of the metal atom to the impurity level is different from that of others, which is due to the difference in the valence electron configuration after exchanging electrons with the substrate.
image file: d4tc02420f-f4.tif
Fig. 4 Band structures of diamane with metal atom absorption (M–C64H31 and M–C64F31). The Fermi level is set to be zero.

In Fig. 5, the spin-resolved band structures of metal-atom-embedded diamane are presented. It can be found that spin splitting occurs in all structures except the Co–C63H31, Al–C63F31 and Co–C63F31 structures. The unsaturated electrons of metal atoms result in the polarization of electrons and thus the magnetic moment. For example, in Ti–C63F31, three electrons of Ti bond with neighboring three C atoms, leaving one unpaired electron. However, the situation of Co is different, three electrons of Co participate in the formation of Co–C bonding and two nonbonding orbitals are filled with four electrons, thus the structure is nonmagnetic. A similar situation is observed for Al-doped diamane, where the Al atom possesses three electrons. The magnetic properties have been reported for transition metal atom-doped graphane.30 The Mg–C63F31, Ca–C63F31, V–C63F31, Mn–C63F31 and Ni–C63F31 systems exhibit half-metallic properties, and other structures have semiconductor properties with reduced bandgaps. In Fig. S4 (ESI), we observe a significant difference of orbitals between the transition metal atoms and the alkali metal atoms. For Li–C63F31, Na–C63F31 and K–C63F31, the split state near the Fermi level is nearly all contributed by 2p orbitals of C atoms in F-diamane. For Mg–C64F31 and Al–C64F31, the flat bands near the Fermi level are both contributed by doped atoms and diamane. For C63F31 doped with a transition metal, the splitting of electron states near the Fermi level is mainly provided by the 3d orbitals of transition metal atoms.


image file: d4tc02420f-f5.tif
Fig. 5 Band structures of diamane embedded with metal atoms (M–C63H31 or M–C63F31). The Fermi level is set to be zero.

Since the PBE functional generally underestimates the band gap, we calculate the band gap of F-diamane using the more-accurate HSE06 functional in Fig. S5a (ESI), the tendency is similar except an enlarged bandgap. In addition, the doped structure of Li–C63F31 is chosen as an example, due to its nonmagnetic feature. The band structure is calculated using the HSE06 functional (Fig. S5b, ESI), and the bands near the Fermi level are similar to those calculated using the PBE functional, except that the band gap values differ by about 1 eV. The credible surface properties of transition metal doped MoTe2,51 MoSe252 and MoS253 have been obtained using the PBE method. Considering the limited computational resources, the PBE method is used to calculate the electronic properties in this work.

In order to further investigate the electronic properties of the doped structure, we perform charge density difference calculations, and the results are shown in Fig. 6. For all doped structures, the evident charge distribution in the interface indicates that there is electron exchange between the metal atoms and the substrate, which is also confirmed by the Bader charge results in Fig. S6 (ESI). In K–C64H31 and K–C64F31 structures, charge accumulation only occurs between the K atom and diamane, while no bonding is observed between K and the bottom C atom. Conversely, for other doped structures, metal atoms exhibit both charge exchange and bonding with the bottom C atom, resulting in enhanced structural stability. Notably, diamane doped with transition metals exhibits a higher degree of accumulated charges than that of diamane doped with alkali metal atoms, suggesting that transition metals form more stable bonds with the substrate and thus forming a lower energy barrier.


image file: d4tc02420f-f6.tif
Fig. 6 Side and top views of charge density difference for diamane doped with metal atoms. Yellow and light-blue regions represent electron accumulation and depletion, respectively. Isosurface value is 0.01 e Å−3.

Finally, we suppose that transition metal-doped diamanes have a wide range of practical applications, which can be used in electronic devices as electrodes, conductors, and semiconducting materials, due to their electrical properties and magnetism.17 Moreover, transition metals provide active sites on the diamane surface, which can serve as efficient catalysts for various chemical reactions to facilitate water splitting, oxygen reduction, and organic synthesis. For example, electroreduction of CO2 on Cu, Fe, or Ni-doped diamane sheets has been proposed.25 Additionally, their high surface area and sensitivity could also make them ideal for the development of high-performance sensors for gas detection, biosensing, and environmental monitoring.42

4. Conclusion

In summary, we systematically calculate the structural and electronic properties of H-diamane and F-diamane doped with 19 metal atoms (Li, Na, Mg, Al, K, Ca, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Pd, Ag, Pt and Au) using first principles calculations. First, we investigate the influence of Ti, Co, Ni and Pt atoms for example on the transformation process of bilayer graphene into H-diamane and find that the reaction energy barrier is effectively lower, indicating that the metal atom doping is beneficial for the transition from graphene bilayer to diamane. Furthermore, for H-diamane structures, K–C64H31 and Co–C63H31 are determined to be theoretically stable. Regarding F-diamane structures, more stable structures are stable (Li–C64F31, Na–C64F31, Mg–C64F31, Al–C64F31, K–C64F31, Ca–C64F31, Li–C63F31, Na–C63F31, Mg–C63F31, Al–C63F31, K–C63F31, Ca–C63F31, Ti–C63F31, V–C63F31, Cr–C63F31, Mn–C63F31, Fe–C63F31, Co–C63F31 and Ni–C63F31). The band structure analysis reveals that all structures exhibit reduced band gaps due to the introduction of dopants. Specially, Ca–C64F31, Mg–C63F31, Ca–C63F31, V–C63F31, Mn–C63F31 and Ni–C63F31 systems transform into the semi-metal state, due to the interaction between the outer orbitals of metal atoms and the p orbitals of C atoms in diamane, resulting in new bonding orbitals near the Fermi level. The differential charge density indicates distinct electron exchange between the metals and the substrate. This research provides novel insights into diamane synthesis as well as bridges the gaps in the understanding of the alteration of the properties of diamanes by metal atoms.

Data availability

The data supporting this article have been included as part of the ESI.

Conflicts of interest

There are no conflicts to declare.

Acknowledgements

This work was supported by the Program of Science and Technology Development Plan of Jilin Province of China (No. SKL202302006) and the National Natural Science Foundation of China (NSFC) (No. 52172044, 51972135). Computation was carried out at the High-Performance Computing Center of Jilin University. The authors acknowledge the Instrument and Equipment Sharing Platform of State Key Laboratory of Superhard Materials, Jilin University.

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Footnote

Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d4tc02420f

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