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双折射作为光学晶体的基本参数，在相位调制、分光、偏振等许多光学应用中发挥着重要的作用，是激光科学与技术中的关键材料，而钒酸盐多面体较大双折射率为开发双折射材料提供了一条新的途径。本文采用第一性原理研究四种碱金属钒酸盐AV3O8(A=Li, Na, K, Rb)晶体的能带结构、态密度、电子局域函数和双折射率。计算结果表明碱金属钒酸盐AV3O8(A=Li, Na, K, Rb)均为间接带隙，带隙值分别为1.695、1.898、1.965和1.984 eV。对态密度分析可知在费米能级附近，碱金属钒酸盐AV3O8(A=Li, Na, K, Rb)导带底主要被V原子的最外层轨道所占据，价带顶的主要贡献者是O-2p轨道，O原子的2p轨道还在费米能级附近表现出较强的局域性，结合HOMO和LUMO以及布居分析说明在四种晶体中主要由V-3p轨道与O的2p轨道成键，V-O表现为强的共价键。通过对晶体结构与光学性质关系的分析，晶体较大的各向异性，较高水平的响应电子分布各向异性指数，阴离子基团的特殊排列和V-3d和O-2p轨道形成的d-p轨道杂化都是导致其大双折射率的主要原因，经计算所得LiV3O8、NaV3O8、KV3O8和RbV3O8四种物质在1064 nm处的双折射率分别为0.28、0.30、0.28和0.27。Birefringence, as a fundamental parameter of optical crystals, plays a vital role in numerous optical applications such as phase modulation, light splitting, and polarization, making them key materials in laser science and technology. The significant birefringence of vanadate polyhedra provides a new approach for developing birefringent materials. In this study, first-principles calculations are used to investigate the band structures, density of states (DOS), electron localization functions (ELF), and birefringence of four alkali metal vanadate crystals AV3O8 (A=Li, Na, K, Rb). The computational results show that all AV3O8 crystals have indirect band gaps, with values of 1.695, 1.898, 1.965, and 1.984 eV for LiV3O8, NaV3O8, KV3O8, and RbV3O8, respectively. The DOS analysis reveals that near the Fermi level, the conduction band minimum (CBM) in these vanadates is predominantly occupied by the outermost orbitals of V atoms, while the valence band maximum (VBM) is primarily contributed by O-2p orbitals. The O-2p orbitals also exhibit strong localization near the Fermi level. Combined with HOMO-LUMO (Highest Occupied Molecular Orbital-Lowest Unoccupied Molecular Orbital) analysis and population analysis, the bonding interactions in all four crystals mainly arise from the hybridization between V-3p and O-2p orbitals, indicating strong covalent bonding in V-O bonds. Through the analysis of structure-property relationships, the large birefringence is primarily attributed to the pronounced structural anisotropy, high anisotropy index of responsive electron distribution, unique arrangement of anionic groups, and d-p orbital hybridization between V-3d and O-2p orbitals. The calculated birefringence values at a wavelength of 1064 nm for LiV3O8, NaV3O8, KV3O8, and RbV3O8 are 0.28, 0.30, 0.28, and 0.27, respectively.
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Keywords:
- alkali metal vanadate /
- first principles /
- electronic structure /
- birefringence
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[1] Pedrotti F L, Pedrotti L M, Pedrotti L S 2018Introduction to optics [England: Cambridge University Press] pp333-360
[2] Li X Z, Wang C, Chen X L, Li H, Jia L S, Wu L, Du Y X, Xu Y P 2004Inorg. Chem. 43 8555
[3] Nomura H, Furutono Y 2008Microelectron. Eng. 85 1671
[4] Aoki K, Miyazaki H T, Hirayama H 2003Nat. Mater. 2 117
[5] Lancry M, Desmarchelier R, Cook K, Poumellec B, Canning J 2014MICROMACHINES-BASEL 5 825
[6] Li R 2013Z KRIST-CRYST MATER 228 526
[7] Levy M, Jalali A A, Huang X 2009J MATER SCI-MATER EL 20: 43
[8] Zhang H, Zhang M, Pan S, Yang Z, Wang Z, Bian Q, Poeppelmeier K R 2015Cryst. Growth Des. 15 523
[9] Ghosh G 1999Opt. Commun. 163 95
[10] Luo H, Tkaczyk T, Sampson R, Dereniak E L 2006Proc. SPIE 6119 136
[11] Guoqing Z, Jun X, Xingda C, Heyu Z, Siting W, Ke X, Fuxi G 1998J. Cryst. Growth 191 517-519
[12] Appel R, Dyer C D, Lockwood J N 2002Appl. Opt. 41 2470
[13] Cyranoski D 2009Nature 457 953
[14] Krainer L, Paschotta R, Lecomte S, Moser M, Weingarten K J, Keller U 2002 IEEE J. Quantum Electron. 38 1331
[15] Lisinetskii V A, Grabtchiko A S, Demidovich A A, Burakevich V N, Orlovich V A, Titov A N 2007 Appl. Phys. B 88 499
[16] Vodchits A I, Orlovich V A, Apanasevich P A 2012J. Appl. Spectrosc. 78 918
[17] Yu H, Liu J, Zhang H, Kaminskii A. A, Wang Z, Wang J 2014Laser Photonics Rev. 8 847-864
[18] Lei B H, Kong Q, Yang Z, Yang Y, Wang Y, Pan S 2016J. Mater. Chem. C 4 6295
[19] Li K, Zhang X, Chai B, Yu H, Hu Z, Wang J, Wu H Chem.-Eur. J. e202403515
[20] Li K, Wu H, Yu H, Hu Z, Wang J, Wu Y 2024Chem. Commun. 60 12734
[21] Lei B H, Yang Z, Pan S 2017Chem. Commun. 53 2818
[22] Huang Y, Zhang X Y, Zhao S G, Mao J G, Yang B P 2024J. Mater. Chem. C 12 7286
[23] Zhang S, Dong L, Xu B, Chen H, Huo H, Liang F, Lin Z 2024Inorg. Chem. Front. 11 5528
[24] Cheng J, Xu D, Lu J, Zhang F, Hou X 2023Inorg. Chem. 62 20340
[25] Chen Z, Xu F, Cao S, Li Z, Yang H, Ai X, Cao Y 2017Small 13 1603148
[26] Cao X, Yang Q, Zhu L, Xie L 2018Ionics 24 943
[27] Yang H, Li J, Zhang X G, Jin Y L 2008J. Mater. Process. Technol. 207 265
[28] Zhu L, Li W, Xie L, Yang Q, Cao X 2019Chem. Eng. J. 372 1056
[29] Feng L, Zhang W, Xu L, Li D, Zhang Y 2020Solid State Sci. 103 106187
[30] Kim H J, Jo J H, Choi J U, Voronina N, Myung S T 2020J. Power Sources 478 229072
[31] Shchelkanova M, Shekhtman G, Pershina S, Vovkotrub E 2021Materials 14 6976
[32] Wu W, Ding J, Peng H, Li G 2011MATER LETT 65 2155
[33] Zhu J, Li X, Chen S, Huang C, Feng J, Kuang Q, Zhao Y 2020Electrochim. Acta 355 136799
[34] Wadsley A D 1957Acta Crystallogr. 10 261
[35] Bachmann H G, Barnes W H 1962CAN MINERAL 7 219
[36] Baddour-Hadjean R, Boudaoud A, Bach S, Emery N, Pereira-Ramos J P 2014Inorg. Chem. 53 1764
[37] Oka Y, Yao T, Yamamoto N. 1997Mater. Res. Bull. 32 1201
[38] Segall M D, Lindan P J D, Probert M J 2002J. Phys.: Condens. Matter 14 2717
[39] Payne M C, Teter M P, Allan D C, Arias T A, Joannopoulos A J 1992Rev. Mod. Phys. 64 1045
[40] Srivastava G P, Weaire D 1987Adv. Phys. 36 463
[41] Monkhorst H J, Pack J D 1976Phys. Rev. B 13 5188
[42] Perdew J P, Burke K, Ernzerhof M 1996Phys. Rev. Lett. 77 3865
[43] Hamann D R, Schlüter M, Chiang C 1979Phys. Rev. Lett. 43 1494
[44] Kong Q, Yang Y, Liu L, Bian Q, Lei B H, Li L, Pan S 2016J. Mater. Res. 31 488
[45] Yan S S 2011Fundamentals of solid-state physics (Beijing: Peking University Press) (in Chinese) [阎守胜2011固体物理基础北京: 北京大学出版社]
[46] Hiscocks J, Frisch M J 2009Gaussian 09: IOps Reference 9(USA: Gaussian)
[47] Riffet V, Contreras-Garcıa J, Carrasco J, Calatayud M 2016J. Phys. Chem. C 120 4259
[48] Mulliken R S 1931Chem. Rev. 9 347
[49] Zhang B, Wang Y J, Qi Y J, He Z H, Ding J F, Su X 2024J. Synth. Cryst. 53 999(in Chinese)[张博，王云杰，齐亚杰，和志豪，丁家福，苏欣2024人工晶体学报53 999]
[50] Su X, Wang Y, Yang Z, Huang X C, Pan S, Li F, Lee M H 2013J. Phys. Chem. C 117 14149
[51] Tudi A, Han S, Yang Z, Pan S 2022Coord. Chem. Rev. 459 214380
[52] Wang X, Zhang B, Yang D, Wang, Y 2022Dalton Trans. 51 14059
[53] Bai S, Zhang X, Zhang B, Li L, Wang Y 2022Dalton Trans. 51 3421
[54] Chu Y, Wang H, Chen Q, Su X, Chen Z, Yang Z, Pan S 2024Adv. Funct. Mater. 34 2314933
[55] Ding Y, Zhu M, Wang J, Li B, Qi H, Liu L, Chu Y 2024Inorg. Chem. 63 20003
[56] Lin L, Jiang X, Wu C, Lin Z, Huang Z, Humphrey M G, Zhang C 2021Dalton Trans. 50 7238
[57] Lei B H, Yang Z, Pan S 2017Chem. Commun. 53 2818
[58] Su X, Chu Y, Yang Z, Lei B H, Cao C, Wang Y, Pan S 2020J. Phys. Chem. C 124 24949
[59] Bai S, Zhang X, Zhang B, Li L, Wang Y 2021Inorg. Chem. 60 10006
[60] Li S, Dou D, Chen C, Shi Q, Zhang B, Wang Y 2024Inorg. Chem. 63 24076
[61] Chu Y, Wang H, Abutukadi T, Li Z, Mutailipu M, Su X, Pan S 2023Small 19 2305074.
[62] Liu H J, Liang C W, Liang W I, Chen H J, Yang J C, Peng C Y, Chu Y H 2012Phys. Rev. B Condens. Matter Mater. Phys. 85 014104
[63] Wang Y J, He Z H, Ding J F, Su X 2025J. Synth. Cryst. 54 85-94(in Chinese)[王云杰，和志豪，丁家福，苏欣2025人工晶体学报54 85]
[64] Ding J F, He Z H, Wang Y J, Su X 2025J. Synth. Cryst. 54 95-106(in Chinese)[丁家福，和志豪，王云杰，苏欣2025人工晶体学报54 95]
[65] . Chu D D, Yang Z H, Pan S L 2024. J. Synth. Cryst. 53 1475-1493(in Chinese) [储冬冬, 杨志华, 潘世烈2024人工晶体学报53 1475]
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