Abstract
The review presents results of the recent studies of non-typical forms of boron derivatives, including flat hexagonal boron, boron fullerenes, supertetrahedral boron, and superoctahedral boron. The approaches to the design of these systems based on combination of stable structural units, as well as methods aimed at compensating the electronic deficit of non-standard boron structures are analyzed.
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References
Baumgartner T, Jäkle F (eds) (2018) Main group strategies towards functional hybrid materials. Wiley, New York
Schaedler TA, Jacobsen AJ, Torrents A, Sorensen AE, Lian J, Greer JR, Valdevit L, Carter WB (2011) Ultralight metallic microlattices. Science 334:962–965
Verdooren A, Chan HM, Grenestedt JL, Harmer MP, Caram HS (2006) Fabrication of low-density ferrous metallic foams by reduction of chemically bonded ceramic foams. J Am Ceram Soc 89:3101–3106
Jian T, Chen X, Li S-D, Boldyrev AI, Li J, Wang L-S (2019) Probing the structures and bonding of size-selected boron and doped-boron clusters. Chem Soc Rev 48:3550–3591
Zhang Z, Penev ES, Yakobson BI (2017) Two-dimensional boron: structures, properties and applications. Chem Soc Rev 46:6746–6763
Kondo T (2017) Recent progress in boron nanomaterials. Sci Technol Adv Mater 18:780–804
Hosmane NS (ed) (2011) Boron science: new technologies and applications. CRC Press, Boca Raton
Saxena S (ed) (2016) Handbook of boron nanostructures. CRC Press, Boca Raton
Perkins GL (ed) (2011) Boron: compounds, production and application. Nova Science Publishers, New York
Zubarev DY, Boldyrev AI (2007) Comprehensive analysis of chemical bonding in boron clusters. J Comput Chem 28:251–268
Alexandrova AN, Boldyrev AI, Zhai HJ, Wang LS (2006) Allboron aromatic clusters as potential new inorganic ligands and building blocks in chemistry. Coord Chem Rev 250:2811–2866
Sergeeva AP, Popov IA, Piazza ZA, Li WL, Romanescu C, Wang LS, Boldyrev AI (2014) Understanding boron through size-selected clusters: structure, chemical bonding, and fluxionality. Acc Chem Res 47:1349–1358
Decker BF, Kasper JS (1959) The crystal structure of a simple rhombohedral form boron. Acta Crystallogr 12:503–506
Hughes RE, Kennard CHL, Sullenger DB, Weakliem HA, Sands DE, Hoard JL (1963) The structure of β-rhombohedral boron. J Am Chem Soc 85:361–362
Hoard JL, Hughes RE, Sands DE (1958) The structure of tetragonal boron. J Am Chem Soc 80:4507–4515
Boustani I (1997) Systematic ab initio investigation of bare boron clusters: determination of the geometry and electronic structures of Bn (n=2-14). Phys Rev B Condens Matter Mater Phys 55:16426–16438
Zhai HJ, Kiran B, Li J, Wang LS (2003) Hydrocarbon analogues of boron clusters planarity, aromaticity and antiaromaticity. Nat Mater 2:827–833
Kiran B, Bulusu S, Zhai HJ, Yoo S, Zeng XC, Wang LS (2005) Planar-to-tubular structural transition in boron clusters: B20 as the embryo of single-walled boron nanotubes. P Natl Acad Sci USA 102:961–964
Mukhopadhyay S, He H, Pandey R, Yap YK, Boustani I (2009) Novel spherical boron clusters and structural transition from 2D quasi-planar structures to 3D double-rings. J Phys Conf Ser 176:012028
Pham HT, Duong LV, Tam NM, Pham-Ho MP, Nguyen M (2014) The boron conundrum: bonding in the bowl B30 and B36, fullerene B40 and triple ring B42 clusters. Chem Phys Lett 608:295–302
Wang L, Zhao J, Li F, Chen Z (2010) Boron fullerenes with 32-56 atoms: irregular cage configurations and electronic properties. Chem Phys Lett 501:16–19
Li F, Jin P, Jiang DE, Wang L, Zhang SB, Zhao J, Chen Z (2012) B80 and B101-103 clusters: remarkable stability of the core-shell structures established by validated density functional. J Chem Phys 136:074302
Olson JK, Boldyrev AI (2012) Electronic transmutation: boron acquiring an extra electron becomes ‘carbon’. Chem Phys Lett 523:83–86
Zhang X, Lundell KA, Olson JK, Bowen KH, Boldyrev AI (2018) Electronic transmutation (ET): chemically turning one element into another. Chem Eu J 24:9200–9210
Geim AK, Novoselov KS (2007) The rise of graphene. Nat Mater 6:183–191
Aufray B, Kara A, Vizzini SB, Oughaddou H, LéAndri C, Ealet B, Le Lay G (2010) Graphene-like silicon nanoribbons on Ag(110): a possible formation of silicene. Appl Phys Lett 96:183102
Lalmi B, Oughaddou H, Enriquez H, Kara A, Vizzini SB, Ealet BN, Aufray B (2010) Epitaxial growth of a silicene sheet. Appl Phys Lett 97:223109
Lau KC, Pandey R (2007) Stability and electronic properties of atomistically-engineered 2D boron sheets. J Phys Chem C 111:2906–2912
Lau KC, Pandey R (2008) Thermodynamic stability of novel boron sheet configurations. J Phys Chem B 112:10217–10220
Boustani I (1997) New quasi-planar surfaces of bare boron. Surf Sci 370:355–363
Boustani I (1997) New convex and spherical structures of bare boron clusters. J Solid State Chem 133:182–189
Boustani I, Quandt A (1997) Nanotubules of bare boron clusters: ab initio and density functional study. Europhys Lett 39:527–532
Quandt A, Boustani I (2005) Boron nanotubes. Chem Phys Chem 6:2001–2008
Boustani I, Quandt A, Hernández E, Rubio A (1999) New boron based nanostructured materials. J Chem Phys 110:3176–3185
Gindulytė A, Lipscomb WN, Massa L (1998) Proposed boron nanotubes. Inorg Chem 37:6544–6545
Kunstmann J, Quandt A (2006) Broad boron sheets and boron nanotubes: an ab initio study of structural, electronic, and mechanical properties. Phys Rev B 74:035413
Zhai HJ, Wang LS, Alexandrova AN, Boldyrev AI (2002) Electronic structure and chemical bonding of B5- and B5 by photoelectron spectroscopy and ab initio calculations. J Chem Phys 117:7917–7924
Zhai HJ, Alexandrova AN, Birch KA, Boldyrev AI, Wang LS (2003) Hepta- and octacoordinate boron in molecular wheels of eight- and nine-atom boron clusters: observation and confirmation. Angew Chem Int Ed 42:6004–6008
Szwacki GN, Sadrzadeh A, Yakobson BI (2007) B80 fullerene: an ab initio prediction of geometry, stability, and electronic structure. Phys Rev Lett 98:116804
Tang H, Ismail-Beigi S (2007) Novel precursors for boron nanotubes: the competition of two-center and three-center bonding in boron sheets. Phys Rev Lett 99:115501
Özdoğan C, Mukhopadhyay S, Hayami W, Güvenç ZB, Pandey R, Boustani I (2010) The unusually stable B100 fullerene, structural transitions in boron nanostructures, and a comparative study of α- and γ-boron and sheets. J Phys Chem C 114:4362–4375
Miller J (2007) New sheet structures may be the basis for boron nanotubes. Phys Today 60:20–21
Yang X, Ding Y, Ni J (2008) Ab initio prediction of stable boron sheets and boron nanotubes: structure, stability, and electronic properties. Phys Rev B Condens Matter Mater Phys 77:041402
Zope RR, Baruah T (2011) Snub boron nanostructures: chiral fullerenes, nanotubes and planar sheet. Chem Phys Lett 501:193–196
Wu X, Dai J, Zhao Y, Zhuo Z, Yang J, Zeng XC (2012) Two-dimensional boron monolayer sheets. ACS Nano 6:7443–7453
Yu X, Li L, Xu XW, Tang CC (2012) Prediction of two-dimensional boron sheets by particle swarm optimization algorithm. J Phys Chem C 116:20075–20079
Penev ES, Bhowmick S, Sadrzadeh A, Yakobson BI (2012) Polymorphism of two-dimensional boron. Nano Lett 12:2441–2445
Lu H, Mu Y, Bai H, Chen Q, Li SD (2013) Binary nature of monolayer boron sheets from ab initio global searches. J Chem Phys 138:024701
Galeev TR, Chen Q, Guo JC, Bai H, Miao CQ, Lu HG, Sergeeva AP, Li SD, Boldyrev AI (2011) Deciphering the mystery of hexagon holes in an all-boron graphene α-sheet. Phys Chem Chem Phys 13:11575–11578
Zhou XF, Dong X, Oganov AR, Zhu Q, Tian Y, Wang HT (2014) Semimetallic two-dimensional boron allotrope with massless Dirac fermions. Phys Rev Lett 112:085502
Piazza ZA, Hu HS, Li WL, Zhao YF, Li J, Wang LS (2014) Planar hexagonal B36 as a potential basis for extended single-atom layer boron sheets. Nat Commun 5:3113
Alexandrova AN, Birch KA, Boldyrev AI (2003) Flattening the B6H62- octahedron. Ab initio prediction of a new family of planar all-boron aromatic molecules. J Am Chem Soc 125:10786–10787
Nagamatsu J, Nakagawa N, Muranaka T, Zenitani Y, Akimitsu J (2001) Superconductivity at 39 K in magnesium diboride. Nature 410:63–64
Zhang LZ, Yan QB, Du SX, Su G, Gao HJ (2012) Boron sheet adsorbed on metal surfaces: structures and electronic properties. J Phys Chem C 116:18202–18206
Liu H, Gao J, Zhao J (2013) From boron cluster to two-dimensional boron sheet on Cu(111) surface: growth mechanism and hole formation. Sci Rep 3:3238
Liu Y, Penev ES, Yakobson BI (2013) Probing the synthesis of two-dimensional boron by first-principles computations. Angew Chem Int Ed 52:3156–3159
Zhang Z, Yang Y, Gao G, Yakobson BI (2015) Two-dimensional boron monolayers mediated by metal substrates. Angew Chem Int Ed 54:13022–13026
Mannix AJ, Zhou XF, Kiraly B, Wood JD, Alducin D, Myers BD, Liu X, Fisher BL, Santiago U, Guest JR, Yacaman MJ, Ponce A, Oganov AR, Hersam MC, Guisinger NP (2015) Synthesis of borophenes: anisotropic, two-dimensional boron polymorphs. Science 350:1513–1516
Feng B, Zhang J, Zhong Q, Li W, Li S, Li H, Cheng P, Meng S, Chen L, Wu K (2016) Experimental realization of two-dimensional boron sheets. Nat Chem 8:563–568
Feng B, Zhang J, Liu RY, Iimori T, Lian C, Li H, Chen L, Wu K, Meng S, Komori F, Matsuda I (2016) Direct evidence of metallic bands in a monolayer boron sheet. Phys Rev B 94:041408
Wu R, Gozar A, Bozovic I (2019) Large-area borophene sheets on sacrificial Cu(111) films promoted by recrystallization from subsurface boron. Npj Quant Mater 4:40
Wu R, Drozdov IK, Eltinge S, Zahl P, Ismail-Beigi S, Bozovic I, Gozar A (2019) Large-area single-crystal sheets of borophene on Cu(111) surfaces. Nat Nanotechnol 14:44–49
Kiraly B, Liu X, Wang L, Zhang Z, Mannix AJ, Fisher BL, Yakobson BI, Hersam MC, Guisinger NP (2019) Borophene synthesis on Au(111). ACS Nano 13:3816–3822
Ranjan P, Sahu TK, Bhushan R, Yamijala SS, Late DJ, Kumar P, Vinu A (2019) Freestanding borophene and its hybrids. Adv Mater 31:1900353
Li W, Kong L, Chen C, Gou J, Sheng S, Zhang W, Li H, Chen L, Cheng P, Wu K (2018) Experimental realization of honeycomb borophene. Sci Bull 63:282–286
Zhu L, Zhao B, Zhang T, Chen G, Yang SA (2019) How is honeycomb borophene stabilized on Al(111)? J Phys Chem C 123:14858–14864
Shirodkar SN, Penev ES, Yakobson BI (2018) Honeycomb boron: alchemy on aluminum pan? Sci Bull 63:270–271
Zhang Z, Shirodkar SN, Yang Y, Yakobson BI (2017) Gate-voltage control of borophene structure formation. Angew Chem Int Ed 56:15421–15426
Wan Z-Q, Lü T-Y, Wang H-Q, Feng YP, Zheng J-C (2019) Review of borophene and its potential applications. Front Phys 14:33403
Zhang Z, Yang Y, Penev ES, Yakobson BI (2017) Elasticity, flexibility, and ideal strength of borophenes. Adv Funct Mater 27:1605059
Grünbaum B (1967) ConVex polytopes. Wiley-Interscience, New York
Domene MC, Fowler P, Mitchell D, Seifert G, Zerbetto F (1997) Energetics of C20 and C22 fullerene and near-fullerene carbon cages. J Phys Chem A 101:8339–8344
Zhai HJ, Zhao YF, Li WL, Chen Q, Bai H, Hu HS, Piazza ZA, Tian WJ, Lu HG, Wu YB, Mu YW, Wei GF, Liu ZP, Li J, Li SD, Wang LS (2014) Observation of an all-boron fullerene. Nat Chem 6:727–731
Szwacki NG, Tymczak CJ (2010) The symmetry of the boron buckyball and a related boron nanotube. Chem Phys Lett 494:80–83
Sadrzadeh A, Pupysheva OV, Singh AK, Yakobson BI (2008) The boron buckyball and its precursors: an electronic structure study. J Physl Chem A 112:13679–13683
Baruah T, Pederson MR, Zope RR (2008) Vibrational stability and electronic structure of a B80 fullerene. Phys Rev B Condens Matt Mater Phys 78:045408
Ceulemans A, Muya JT, Gopakumar G, Nguyen MT (2008) Chemical bonding in the boron buckyball. Chem Phys Lett 461:226–228
Gopakumar G, Nguyen MT, Ceulemans A (2008) The boron buckyball has an unexpected Th symmetry. Chem Phys Lett 450:175–177
Wang XQ (2010) Structural and electronic stability of a volleyball-shaped B80 fullerene. Phys Rev B Condens Matt Mater Phys 82:153409
Li H, Shao N, Shang B, Yuan LF, Yang J, Zeng XC (2010) Icosahedral B12-containing core-shell structures of B80. Chem Commun 46:3878–3880
Zhao J, Wang L, Li F, Chen Z (2010) B80 and other medium-sized boron clusters: core-shell structures, not hollow cages. J Phys Chem A 114:9969–9972
Lu H, Li SD (2013) Three-chain B6n +14 cages as possible precursors for the syntheses of boron fullerenes. J Chem Phys 139:224307
Yan QB, Zheng QR, Su G (2008) Face-centered-cubic B80 metal: density functional theory calculations. Phys Rev B Condens Matt Mater Phys 77:224106
Liu AY, Zope RR, Pederson MR (2008) Structural and bonding properties of bcc-based B80 solids. Phys Rev B Condens Matt Mater Phys 78:155422
Yan QB, Zheng QR, Su G (2009) Face-centered-cubic K3B80 and Mg3B80 metals: covalent and ionic bondings. Phys Rev B Condens Matt Mater Phys 80:104111
Szwacki NG (2008) Boron fullerenes: a first-principles study. Nanoscale Res Lett 3:49–54
Gribanova TN, Minyaev RM, Minkin VI (2018) Stabilization of boron clusters with classical fullerene structures by combined doping effect: a quantum chemical study. Struct Chem 29:327–340
Minyaev RM, Gribanova TN (2000) Stabilization of nonclassical types of valence bond orientation at the carbon atom in organoboron compounds. Russ Chem Bull Int Ed 49:783–793
Minyaev RM, Minkin VI, Starikov AG, Gribanova TN (2001) Induced aromaticity. Russ Chem Bull Int Ed 50:2325–2335
Gribanova TN, Minyaev RM, Minkin VI (2001) Stabilization of planar hexacoordinate boron: an ab initio study. Zhurnal Neorganicheskoj Khimii 46:1340–1343
Minyaev RM, Minkin VI, Gribanova TN (2004) A quantum-chemical study of carbon sandwich compounds. Mendeleev Commun 14:96–98
Minyaev RM, Gribanova TN (2005) Carbon, nitrogen, and oxygen hypercoordination in half-sandwich and sandwich structures. Russ Chem Bull Int Ed 54:533–546
Minyaev RM, Minkin VI, Gribanova TN, Starikov AG, Gapurenko OA (2006) Hypercoordinated carbon in endohedral hydrocarbon cage complexes C@C20H204- and C@C20H20·Li4. Dokl Chem 407:47–50
Minyaev RM, Minkin VI, Gribanova TN, Starikov AG (2006) Sandwich compounds with central hypercoordinate carbon, nitrogen, and oxygen: a quantum-chemical study. Heteroat Chem 17:464–474
Gribanova TN, Minyaev RM, Minkin VI (2008) Theoretical design of planar systems with hypercoordinate p-elements of the second period in a nonmetallic environment. Russ J Gen Chem 78:750–768
Gapurenko OA, Gribanova TN, Minyaev RM, Minkin VI (2007) Hypercoordinate atoms of second-row elements in dodecahedrane endohedral complexes. Russ Chem Bull Int Ed 56:856–862
Minyaev RM, Gribanova TN, Minkin VI (2013) In: Reedijk J, Poeppelmeier K (eds) Comprehensive inorganic chemistry II (second edition): from elements to applications, vol 9. Elsevier, Amsterdam, pp 109–132
Gribanova TN, Minyaev RM, Minkin VI (2009) Sandwich and multidecker sandwich derivatives of first-row elements (Be, C, N). Dokl Chem 424:1–6
Gribanova TN, Minyaev RM, Minkin VI (2019) Stabilization of non-typical forms of boron clusters by beryllium doping. Chem Phys 522:44–54
Gribanova TN, Minyaev RM, Minkin VI (2016) Structure and stability of the C-doped boron fullerenes B60C12 and B80C12 with quasi-planar pentacoordinated cage carbon atoms: a quantum-chemical study. Mendeleev Commun 26:485–487
Gribanova TN, Minyaev RM, Minkin VI (2017) Hypercoordinated carbon in C-doped boron fullerenes: a quantum chemical study. Struct Chem 28:357–369
Burdett JK, Lee S (1985) Moments method and elemental structures. J Am Chem Soc 107:3063–3082
Johnston RL, Hoffmann R (1989) Superdense carbon, C8: supercubane or analog of γ-silicon? J Am Chem Soc 111:810–819
Banfalvi G (2014) Dodecahedrane minibead polymers. RSC Adv 4:3003–3008
Minyaev RM, Avakyan VE (2010) Supertetrahedrane—a new possible carbon allotrope. Dokl Chem 434:253–256
Sheng XL, Yan QB, Ye F, Zheng QR, Su G (2011) T-carbon: a novel carbon allotrope. Phys Rev Lett 106:155703
Minyaev RM (2012) Supertetrahedrane and its boron analogs. Russ Chem Bull 61:1673–1680
Minyaev RM, Minkin VI (2013) Supertetrahedral cubane C32H8 and supertetrahedral dodecahedrane C80H20 with tetrahedral C4H fragments in the vertices. Mendeleev Commun 23:131–132
Minyaev RM, Starikov AG, Minkin VI (2016) Supermolecular design: from molecules to solid states. Int J Quantum Chem 116:259–264
Eaton PE, Cole TW (1964) The cubane system. J Am Chem Soc 86:962–964
Maier G, Pfriem S (1978) Tetra-tert-butylcyclopentadienone. Angew Chem Int Ed Eng 17:520–521
Maier G, Neudert J, Wolf O, Pappusch D, Sekiguchi A, Tanaka M, Matsuo T (2002) Tetrakis(trimethylsilyl)tetrahedrane. J Am Chem Soc 124:13819–13826
Zhang J, Wang R, Zhu X, Pan A, Han C, Li X, Zhao D, Ma C, Wang W, Su H, Niu C (2017) Pseudo-topotactic conversion of carbon nanotubes to T-carbon nanowires under picosecond laser irradiation in methanol. Nat Commun 8:683
Haunschild R, Frenking G (2009) Tetrahedranes. A theoretical study of singlet E4H4 molecules (E = C–Pb and B–Tl). Mol Phys 107:911–922
Olson JK, Boldyrev AI (2011) Ab initio search for global minimum structures of neutral and anionic B4H4 clusters. Chem Phys 379:1–5
Mennekes T, Paetzold P, Boese R, Bläser D (1991) Tetra-tertbutyltetraboratetrahedrane. Angew Chem Int Ed Eng 30:173–175
Neu A, Mennekes T, Paetzold P, Englert U, Hofmann M, Schleyer PR (1999) Novel tetraalkyltetraboranes of the type B4R4, B4H2R4 and B4H4R4. Inorg Chim Acta 289:58–69
Ahmed L, Castillo J, Morrison JA (1992) Chemistry of tetraboron tetrachloride. Synthesis and characterization of tetraboron tetrabromide (B4Br4) and observation of B4BrCl3, B4Br2Cl2, and B4Br3Cl. Inorg Chem 31:1858–1860
Sofo JO, Chaudhari AS, Barber GD (2007) Graphane: a two-dimensional hydrocarbon. Phys Rev B Condens Matt Mater Phys 75:153401
Elias DC, Nair RR, Mohiuddin TMG, Morozov SV, Blake P, Halsall MP, Ferrari AC, Boukhvalov DW, Katsnelson MI, Geim AK, Novoselov KS (2009) Control of graphene's properties by reversible hydrogenation: evidence for graphane. Science 323:610–613
Savchenko A (2009) Materials science: transforming graphene. Science 323:589–590
Steglenko DV, Zaitsev SA, Getmanskii IV, Koval VV, Minyaev RM, Minkin VI (2017) Boron, carbon, and aluminum supertetrahedral graphane analogues. Russ J Inorg Chem 62:802–807
Getmanskii IV, Minyaev RM, Steglenko DV, Koval VV, Zaitsev SA, Minkin VI (2017) From two- to three-dimensional structures of a supertetrahedral boran using density functional calculations. Angew Chem Int Ed 56:10118–10122
Frondel C, Marvin UB (1967) Lonsdaleite, a new hexagonal polymorph of diamond. Nature 214:587–589
Bundy FP, Kasper JS (1967) Hexagonal diamond - a new form of carbon. J Chem Phys 46:3437
Bhargava S, Bist HD, Sahli S, Aslam M, Tripathi HB (1995) Diamond polytypes in the chemical vapor deposited diamond films. Appl Phys Lett 67:1706
Gao Y, Wu W, Guo PJ, Zhong C, Yang SA, Liu K, Lu ZY (2019) Hexagonal supertetrahedral boron: a topological metal with multiple spin-orbit-free emergent fermions. Phys Rev Mater 3:044202
Getmanskii IV, Minyaev RM, Koval VV, Minkin VI (2018) Quantum chemical modeling of solid-state B4X structures containing tetrahedral B4 units with X = B, C, Al, Si. Mendeleev Commu 28:173–175
Minyaev RM, Gribanova TN, Minkin VI (2013) Structural stability of supertetrahedral [n]-prismanes and their boron analogues: a quantum-chemical study. Dokl Chem 453:270–272
Minyaev RM, Popov IA, Koval VV, Boldyrev AI, Minkin VI (2015) Supertetrahedral B80H20, C80H20 , and Al80H20 analogs of dodecahedrane and their substituted molecules. Struct Chem 26:223–229
Gapurenko OA, Minyaev RM, Fedik NS, Koval VV, Boldyrev AI, Minkin VI (2019) Structure and bonding of new boron and carbon superpolyhedra. Struct Chem 30:805–814
Wells AF (1986) Structural Inorganic Chemistry5th edn. Clarendon Press, Oxford
Casanova J (1998) The borane, carborane and carbocation continuum. Wiley, Chichester
Wade K (1976) Structural and bonding patterns in cluster chemistry. Adv Inorg Chem Radiochem 18(C):1–66
Minkin VI, Glukhovtsev MN, Simkin BYA (1994) Aromaticity and Antiaromaticity: Electronic and Structural Aspects. Wiley, New York
Schell G, Winter H, Rietsche H, Gompf F (1982) Electronic structure and superconductivity in metal hexaborides. Phys Rev B 25:1589–1599
Lundstrom T (1985) Structure, defects and properties of some refractory borides. Pure Appl Chem 57:1383–1390
Ishii M, Aono M, Muranaka S, Kawai S (1976) Raman spectra of metallic and semiconducting metal hexaborides (MB6). Solid State Commun 20:437–440
Zhou XF, Oganov AR, Wang Z, Popov IA, Boldyrev AI, Wang HT (2016) Two-dimensional magnetic boron. Phys Rev B 93:085406
Tkachenko NV, Steglenko D, Fedik N, Boldyreva NM, Minyaev RM, Minkin VI, Boldyrev AI (2019) Superoctahedral two-dimensional metallic boron with peculiar magnetic properties. Phys Chem Chem Phys 21:19764–19771
Hayami W, Otani S (2011) Structural stability of boron clusters with octahedral and tetrahedral symmetries. J Phys Chem A 115:8204–8207
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The work was financially supported by the Ministry of Science and Higher Education of the Russian Federation (State assignment in the field of scientific activity, Southern Federal University, 2020, No. 0852-2020-0019).
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Gribanova, T.N., Minyaev, R.M., Minkin, V.I. et al. Novel architectures of boron. Struct Chem 31, 2105–2128 (2020). https://doi.org/10.1007/s11224-020-01606-9
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DOI: https://doi.org/10.1007/s11224-020-01606-9