1. Zhao, K., Pharr, M., Vlassak, J. J. & Suo, Z. Fracture of electrodes in lithium-ion batteries caused by fast charging. J. Appl. Phys. 108, 073517 (2010).

2. Vetter, J. et al. Ageing mechanisms in lithium-ion batteries. J. Power Sources 147, 269–281 (2005).

3. Downie, L. E. et al. In situ detection of lithium plating on graphite electrodes by electrochemical calorimetry. J. Electrochem. Soc. 160, A588–A594 (2013).

4. Kim, C., Norberg, N. S., Alexander, C. T., Kostecki, R. & Cabana, J. Mechanism of phase propagation during lithiation in carbon-free Li 4 Ti 5 O 12 battery electrodes. Adv. Funct. Mater. 23, 1214–1222 (2013).

5. Wang, C. et al. A robust strategy for crafting monodisperse Li 4 Ti 5 O 12 nanospheres as superior rate anode for lithium ion batteries. Nano Energy 21, 133–144 (2016).

6. Odziomek, M. et al. Hierarchically structured lithium titanate for ultrafast charging in long-life high capacity batteries. Nat. Commun. 8, 15636 (2017).

7. Oszajca, M. F., Bodnarchuk, M. I. & Kovalenko, M. V. Precisely engineered colloidal nanoparticles and nanocrystals for Li-ion and Na-ion batteries: model systems or practical solutions? Chem. Mater. 26, 5422–5432 (2014).

8. Palacín, M. R., Simon, P. & Tarascon, J. M. Nanomaterials for electrochemical energy storage: the good and the bad. Acta Chim. Slov. 63, 417–423 (2016).

9. Wu, H. et al. Stable cycling of double-walled silicon nanotube battery anodes through solid-electrolyte interphase control. Nat. Nanotechnol. 7, 310–315 (2012).

10. Kasnatscheew, J. et al. A tutorial into practical capacity and mass balancing of lithium ion batteries. J. Electrochem. Soc. 164, A2479–A2486 (2017).

11. Griffith, K. J., Forse, A. C., Griffin, J. M. & Grey, C. P. High-rate intercalation without nanostructuring in metastable Nb 2 O 5 bronze phases. J. Am. Chem. Soc. 138, 8888–8899 (2016).

12. Stramare, S., Thangadurai, V. & Weppner, W. Lithium lanthanum titanates: a review. Chem. Mater. 15, 3974–3990 (2003).

13. Shen, L., Zhang, X., Uchaker, E., Yuan, C. & Cao, G. Li 4 Ti 5 O 12 nanoparticles embedded in a mesoporous carbon matrix as a superior anode material for high rate lithium ion batteries. Adv. Energy Mater. 2, 691–698 (2012).

14. Prakash, A. S. et al. Solution-combustion synthesized nanocrystalline Li 4 Ti 5 O 12 as high-rate performance Li-ion battery anode. Chem. Mater. 22, 2857–2863 (2010).

15. Xu, G. B. et al. Highly-crystalline ultrathin Li 4 Ti 5 O 12 nanosheets decorated with silver nanocrystals as a high-performance anode material for lithium ion batteries. J. Power Sources 276, 247–254 (2015).

16. Ren, Y. et al. Nanoparticulate TiO 2 (B): an anode for lithium-ion batteries. Angew. Chem. Int. Ed. 51, 2164–2167 (2012).

17. Liu, H. et al. Mesoporous TiO 2 –B microspheres with superior rate performance for lithium ion batteries. Adv. Mater. 23, 3450–3454 (2011).

18. Beuvier, T. et al. TiO 2 (B) nanoribbons as negative electrode material for lithium ion batteries with high rate performance. Inorg. Chem. 49, 8457–8464 (2010).

19. Augustyn, V. et al. High-rate electrochemical energy storage through Li+ intercalation pseudocapacitance. Nat. Mater. 12, 518–522 (2013).

20. Liu, X. et al. Urchin-like hierarchical H-Nb 2 O 5 microspheres: synthesis, formation mechanism and their applications in lithium ion batteries. Dalton Trans. 46, 10935–10940 (2017).

21. Lai, C.-H. et al. Designing pseudocapacitance for Nb 2 O 5 /carbide-derived carbon electrodes and hybrid devices. Langmuir 33, 9407–9415 (2017).

22. Roth, R. S. & Waring, J. L. Phase equilibria as related to crystal structure in the system niobium pentoxide−tungsten trioxide. J. Res. Natl Bur. Stand. 70A, 281–303 (1966).

23. Roth, R. S. & Wadsley, A. D. Multiple phase formation in the binary system Nb 2 O 5 −WO 3 . II. The structure of the monoclinic phases WNb 12 O 33 and W 5 Nb 16 O 55 . Acta Crystallogr. 19, 32–38 (1965).

24. Roth, R. S. & Wadsley, A. D. Multiple phase formation in the binary system Nb 2 O 5 –WO 3 . I. Preparation and identification of phases. Acta Crystallogr. 19, 26–32 (1965).

25. Stephenson, N. C. A structural investigation of some stable phases in the region Nb 2 O 5 ·WO 3 –WO 3 . Acta Crystallogr. B 24, 637–653 (1968).

26. Naoi, K., Ishimoto, S., Isobe, Y. & Aoyagi, S. High-rate nano-crystalline Li 4 Ti 5 O 12 attached on carbon nano-fibers for hybrid supercapacitors. J. Power Sources 195, 6250–6254 (2010).

27. Cava, R. J., Murphy, D. W. & Zahurak, S. M. Lithium insertion in Wadsley−Roth phases based on niobium oxide. J. Electrochem. Soc. 130, 2345–2351 (1983).

28. Kumagai, N., Koishikawa, Y., Komaba, S. & Koshiba, N. Thermodynamics and kinetics of lithium intercalation into Nb 2 O 5 electrodes for a 2 V rechargeable lithium battery. J. Electrochem. Soc. 146, 3203–3210 (1999).

29. Patoux, S., Dolle, M., Rousse, G. & Masquelier, C. A Reversible lithium intercalation process in an ReO 3 type structure PNb 9 O 25 . J. Electrochem. Soc. 149, A391–A400 (2002).

30. Han, J.-T., Huang, Y.-H. & Goodenough, J. B. New anode framework for rechargeable lithium batteries. Chem. Mater. 23, 2027–2029 (2011).

31. Saritha, D., Pralong, V., Varadaraju, U. V. & Raveau, B. Electrochemical Li insertion studies on WNb 12 O 33 —a shear ReO 3 type structure. J. Solid State Chem. 183, 988–993 (2010).

32. Griffith, K. J., Senyshyn, A. & Grey, C. P. Structural stability from crystallographic shear in TiO 2 –Nb 2 O 5 phases: cation ordering and lithiation behavior of TiNb 24 O 62 . Inorg. Chem. 56, 4002–4010 (2017).

33. Roberts, M. R. et al. Direct observation of active material concentration gradients and crystallinity breakdown in LiFePO 4 electrodes during charge/discharge cycling of lithium batteries. J. Phys. Chem. C 118, 6548–6557 (2014).

34. Strobridge, F. C. et al. Unraveling the complex delithiation mechanisms of olivine-type cathode materials, LiFe x Co 1–x PO 4 . Chem. Mater. 28, 3676–3690 (2016).

35. Mary, T. A., Evans, J. S. O., Vogt, T. & Sleight, A. W. Negative thermal expansion from 0.3 to 1050 Kelvin in ZrW 2 O 8 . Science 272, 90–92 (1996).

36. Lin, K. et al. Ordered structure and thermal expansion in tungsten bronze Pb 2 K 0.5 Li 0.5 Nb 5 O 15 . Inorg. Chem. 53, 9174–9180 (2014).

37. Cairns, A. B. & Goodwin, A. L. Negative linear compressibility. Phys. Chem. Chem. Phys. 17, 20449–20465 (2015).

38. Liu, H. et al. Intergranular cracking as a major cause of long-term capacity fading of layered cathodes. Nano Lett. 17, 3452–3457 (2017).

39. Murphy, D. W., Greenblatt, M., Cava, R. J. & Zahurak, S. M. Topotactic lithium reactions with ReO 3 related shear structures. Solid State Ion. 5, 327–329 (1981).

40. Cava, R. J., Santoro, A., Murphy, D. W., Zahurak, S. M. & Roth, R. S. The structures of the lithium inserted metal oxides Li 0.2 ReO 3 and Li 0.36 WO 3 . J. Solid State Chem. 50, 121–128 (1983).

41. Gracia, L. et al. Composition dependence of the energy barrier for lithium diffusion in amorphous WO 3 . Electrochem. Solid State Lett. 8, J21–J23 (2005).

42. Shan, Y. J., Inaguma, Y. & Itoh, M. The effect of electrostatic potentials on lithium insertion for perovskite oxides. Solid State Ion. 79, 245–251 (1995).

43. Chen, C. & Du, J. Lithium ion diffusion mechanism in lithium lanthanum titanate solid-state electrolytes from atomistic simulations. J. Am. Ceram. Soc. 98, 534–542 (2015).

44. Jay, E. E., Rushton, M. J. D., Chroneos, A., Grimes, R. W. & Kilner, J. A. Genetics of superionic conductivity in lithium lanthanum titanates. Phys. Chem. Chem. Phys. 17, 178–183 (2015).

45. Emery, J., Buzare, J. Y., Bohnke, O. & Fourquet, J. L. Lithium-7 NMR and ionic conductivity studies of lanthanum lithium titanate electrolytes. Solid State Ion. 99, 41–51 (1997).

46. Giddy, A. P., Dove, M. T., Pawley, G. S. & Heine, V. The determination of rigid-unit modes as potential soft modes for displacive phase transitions in framework crystal structures. Acta Crystallogr. A 49, 697–703 (1993).

47. Dove, M. T., Trachenko, K. O., Tucker, M. G. & Keen, D. A. Rigid unit modes in framework structures: theory, experiment and applications. Rev. Mineral. Geochem. 39, 1–33 (2000).

48. Islam, M. S., Driscoll, D. J., Fisher, C. A. J. & Slater, P. R. Atomic-scale investigation of defects, dopants, and lithium transport in the LiFePO 4 olivine-type battery material. Chem. Mater. 17, 5085–5092 (2005).

49. Dathar, G. K. P., Sheppard, D., Stevenson, K. J. & Henkelman, G. Calculations of Li-ion diffusion in olivine phosphates. Chem. Mater. 23, 4032–4037 (2011).

50. Liu, H. et al. Effects of antisite defects on Li diffusion in LiFePO 4 revealed by Li isotope exchange. J. Phys. Chem. C 121, 12025–12036 (2017).

51. Zhang, C. et al. Synthesis and charge storage properties of hierarchical niobium pentoxide/carbon/niobium carbide (MXene) hybrid materials. Chem. Mater. 28, 3937–3943 (2016).

52. Sun, H. et al. Three-dimensional holey-graphene/niobia composite architectures for ultrahigh-rate energy storage. Science 356, 599–604 (2017).

53. Zhang, S. Chemomechanical modeling of lithiation-induced failure in high-volume-change electrode materials for lithium ion batteries. Npj Comput. Mater. 3, 7 (2017).

54. Maxisch, T., Zhou, F. & Ceder, G. Ab initio study of the migration of small polarons in olivine Li x FePO 4 and their association with lithium ions and vacancies. Phys. Rev. B 73, 104301 (2006).

55. Roth, R. S. Thermal stability of long range order in oxides. Prog. Solid State Chem. 13, 159–192 (1980).

56. Eyring L. & O'Keefe M. (eds) The Chemistry of Extended Defects in Non-Metallic Solids (North-Holland, Amsterdam, 1970).

57. Toby, B. H. & Von Dreele, R. B. GSAS-II: the genesis of a modern open-source all purpose crystallography software package. J. Appl. Cryst. 46, 544–549 (2013).

58. Allpress, J. G. & Roth, R. S. The effect of annealing on the concentration of Wadsley defects in the Nb 2 O 5 −WO 3 system. J. Solid State Chem. 3, 209–216 (1971).

59. Ragone, D. V. Review of battery systems for electrically powered vehicles. In Proc. Mid-Year Meeting of the Society of Automotive Engineers (SAE, 1968).

61. Borkiewicz, O. J. et al. The AMPIX electrochemical cell: a versatile apparatus for in situ X-ray scattering and spectroscopic measurements. J. Appl. Cryst. 45, 1261–1269 (2012).

62. Caglioti, G., Paoletti, A., Ricci, F. P. Choice of collimators for a crystal spectrometer for neutron diffraction. Nucl. Instrum. 3, 223–228 (1958).

63. Ravel, B. & Newville, M. ATHENA, ARTEMIS, HEPHAESTUS: data analysis for X-ray absorption spectroscopy using IFEFFIT. J. Synchrotron Radiat. 12, 537–541 (2005).

64. Newville, M. IFEFFIT: interactive XAFS analysis and FEFF fitting. J. Synchrotron Radiat. 8, 322–324 (2001).

65. Thompson, A. et al. X-ray Data Booklet (Lawrence Berkeley National Laboratory, Berkeley, 2009).

66. Yamamoto, T., Orita, A. & Tanaka, T. Structural analysis of tungsten–zirconium oxide catalyst by W K-edge and L 1 -edge XAFS. X-ray Spectrom. 37, 226–231 (2008).

67. Tougerti, A. et al. XANES study of rhenium oxide compounds at the L 1 and L 3 absorption edges. Phys. Rev. B 85, 125136 (2012).

68. Jayarathne, U. et al. X-ray absorption spectroscopy systematics at the tungsten L-edge. Inorg. Chem. 53, 8230–8241 (2014).

69. Drube, W., Treusch, R., Sham, T. K., Bzowski, A. & Soldatov, A. V. Sublifetime-resolution Ag L 3 -edge XANES studies of Ag-Au alloys. Phys. Rev. B 58, 6871–6876 (1998).

70. Bersuker, I. B. The Jahn–Teller Effect (Cambridge Univ. Press, Cambridge, 2006).

71. Whittle, T. A., Schmid, S. & Howard, C. J. Octahedral tilting in the tungsten bronzes. Acta Crystallogr. B 71, 342–348 (2015).

72. Yan, L. et al. Electrospun WNb 12 O 33 nanowires: superior lithium storage capability and their working mechanism. J. Mater. Chem. A 5, 8972–8980 (2017).

73. Stejskal, E. O. & Tanner, J. E. Spin diffusion measurements: spin echoes in the presence of a time-dependent field gradient. J. Chem. Phys. 42, 288–292 (1965).

74. Weppner, W. & Huggins, R. A. Determination of the kinetic parameters of mixed-conducting electrodes and application to the system Li 3 Sb. J. Electrochem. Soc. 124, 1569–1578 (1977).

75. Shu, G. J. & Chou, F. C. Sodium-ion diffusion and ordering in single-crystal P2-Na x CoO 2 . Phys. Rev. B 78, 052101 (2008).

76. Reddy, M. V. et al. Studies on the lithium ion diffusion coefficients of electrospun Nb 2 O 5 nanostructures using galvanostatic intermittent titration and electrochemical impedance spectroscopy. Electrochim. Acta 128, 198–202 (2014).

77. Ruscher, C., Salje, E. & Hussain, A. The effect of the Nb-W distribution on polaronic transport in ternary Nb-W oxides: electrical and optical properties. J. Phys. C 21, 4465–4480 (1988).

78. Cava, R. J. et al. Electrical and magnetic properties of Nb 2 O 5-δ crystallographic shear structures. Phys. Rev. B 44, 6973–6981 (1991).

79. Dickens, P. G. & Whittingham, M. S. The tungsten bronzes and related compounds. Q. Rev. Chem. Soc. 22, 30–44 (1968).

80. Hull, S. Superionics: crystal structures and conduction processes. Rep. Prog. Phys. 67, 1233–1314 (2004).

81. Kamaya, N. et al. A lithium superionic conductor. Nat. Mater. 10, 682–686 (2011).

82. Kuhn, A., Duppel, V. & Lotsch, B. V. Tetragonal Li 10 GeP 2 S 12 and Li 7 GePS 8 – exploring the Li ion dynamics in LGPS Li electrolytes. Energy Environ. Sci. 6, 3548–3552 (2013).

83. Mo, Y., Ong, S. P. & Ceder, G. First principles study of the Li 10 GeP 2 S 12 lithium super ionic conductor material. Chem. Mater. 24, 15–17 (2012).

84. Phani Dathar, G. K., Balachandran, J., Kent, P. R. C., Rondinone, A. J. & Ganesh, P. Li-ion site disorder driven superionic conductivity in solid electrolytes: a first-principles investigation of β-Li 3 PS 4 . J. Mater. Chem. A 5, 1153–1159 (2017).

85. Bevan, D. J. M. & Hagenmuller, D. Non-Stoichiometric Compounds: Tungsten Bronzes, Vanadium Bronzes and Related Compounds 1st edn (Pergamon Press, Exeter, 1973).

86. Pinus, I., Catti, M., Ruffo, R., Salamone, M. M. & Mari, C. M. Neutron diffraction and electrochemical study of FeNb 11 O 29 /Li 11 FeNb 11 O 29 for lithium battery anode applications. Chem. Mater. 26, 2203–2209 (2014).

87. Galy, J. & Andersson, S. Structure cristalline de MoNb 15 O 40 F. Acta Crystallogr. B 24, 1027–1031 (1968).

88. Idrees, F. et al. Facile synthesis of novel Nb 3 O 7 F nanoflowers, their optical and photocatalytic properties. CrystEngComm 15, 8146–8152 (2013).

89. Zaghib, K., Mauger, A., Groult, H., Goodenough, J. B. & Julien, C. M. Advanced electrodes for high power Li-ion batteries. Materials 6, 1028–1049 (2013).

90. Wen, C. J., Boukamp, B. A., Huggins, R. A. & Weppner, W. Thermodynamic and mass transport properties of “LiAl”. J. Electrochem. Soc. 126, 2258–2266 (1979).

91. He, Y.-B. et al. Gassing in Li 4 Ti 5 O 12 -based batteries and its remedy. Sci. Rep. 2, 913 (2012).

92. Lv, W., Gu, J., Niu, Y., Wen, K. & He, W. Review—gassing mechanism and suppressing solutions in Li 4 Ti 5 O 12 -based lithium-ion batteries. J. Electrochem. Soc. 164, A2213–A2224 (2017).

93. Vinod Chandran, C. & Heitjans, P. Solid-state NMR studies of lithium ion dynamics across materials classes. Ann. Rep. NMR Spectrosc. 89, 1–102 (2016).

94. Wang, Z. et al. Lithium diffusion in lithium nitride by pulsed-field gradient NMR. Phys. Chem. Chem. Phys. 14, 13535–13538 (2012).

95. Kuhn, A. et al. A new ultrafast superionic Li-conductor: ion dynamics in Li 11 Si 2 PS 12 and comparison with other tetragonal LGPS-type electrolytes. Phys. Chem. Chem. Phys. 16, 14669–14674 (2014).

96. Kaus, M. et al. Local structures and Li ion dynamics in a Li 10 SnP 2 S 12 -based composite observed by multinuclear solid-state NMR spectroscopy. J. Phys. Chem. C 121, 23370–23376 (2017).

97. Hayamizu, K. & Aihara, Y. Lithium ion diffusion in solid electrolyte (Li 2 S) 7 (P 2 S 5 ) 3 measured by pulsed-gradient spin-echo 7Li NMR spectroscopy. Solid State Ion. 238, 7–14 (2013).

98. Gobet, M., Greenbaum, S., Sahu, G. & Liang, C. Structural evolution and Li dynamics in nanophase Li 3 PS 4 by solid-state and pulsed-field gradient NMR. Chem. Mater. 26, 3558–3564 (2014).

99. Hayamizu, K. et al. NMR studies on lithium ion migration in sulfide-based conductors, amorphous and crystalline Li 3 PS 4 . Solid State Ion. 285, 51–58 (2016).

100. Holzmann, T. et al. Li 0.6 [Li 0.2 Sn 0.8 S 2 ] – a layered lithium superionic conductor. Energy Environ. Sci. 9, 2578–2585 (2016).

101. Ishiyama, H. et al. Nanoscale diffusion tracing by radioactive 8Li tracer. Jpn. J. Appl. Phys. 53, 110303 (2014).

102. Holz, M. & Weingartner, H. Calibration in accurate spin-echo self-diffusion measurements using 1H and less-common nuclei. J. Magn. Reson. 92, 115–125 (1991).

103. Hayamizu, K. Temperature dependence of self-diffusion coefficients of ions and solvents in ethylene carbonate, propylene carbonate, and diethyl carbonate single solutions and ethylene carbonate + diethyl carbonate binary solutions of LiPF 6 studied by NMR. J. Chem. Eng. Data 57, 2012–2017 (2012).

104. Chowdhury, M. T., Takekawa, R., Iwai, Y., Kuwata, N. & Kawamura, J. Lithium ion diffusion in Li β-alumina single crystals measured by pulsed field gradient NMR spectroscopy. J. Chem. Phys. 140, 124509 (2014).

105. Hayamizu, K. & Seki, S. Long-range Li ion diffusion in NASICON-type Li 1.5 Al 0.5 Ge 1.5 (PO 4 ) 3 (LAGP) studied by 7Li pulsed-gradient spin-echo NMR. Phys. Chem. Chem. Phys. 19, 23483–23491 (2017).

106. Arbi, K. et al. Ionic mobility in Nasicon-type LiMIV2(PO 4 ) 3 materials followed by 7Li NMR spectroscopy. MRS Proc. 1313 (2011).

107. Hayamizu, K., Matsuda, Y., Matsui, M. & Imanishi, N. Lithium ion diffusion measurements on a garnet-type solid conductor Li 6.6 La 3 Zr 1.6 Ta 0.4 O 12 by using a pulsed-gradient spin-echo NMR method. Solid State Nucl. Magn. Reson. 70, 21–27 (2015).

108. Kuhn, A. et al. Li self-diffusion in garnet-type Li 7 La 3 Zr 2 O 12 as probed directly by diffusion-induced 7Li spin-lattice relaxation NMR spectroscopy. Phys. Rev. B 83, 094302 (2011).

109. Langer, J., Epp, V., Heitjans, P., Mautner, F. A. & Wilkening, M. Lithium motion in the anode material LiC 6 as seen via time-domain 7Li NMR. Phys. Rev. B 88, 094304 (2013).

110. Mali, M., Roos, J., Sonderegger, M., Brinkmann, D. & Heitjans, P. 6Li and 7Li diffusion coefficients in solid lithium measured by the NMR pulsed field gradient technique. J. Phys. F Met. Phys. 18, 403–412 (1988).

111. Sugiyama, J. et al. Li-ion diffusion in Li 4 Ti 5 O 12 and LiTi 2 O 4 battery materials detected by muon spin spectroscopy. Phys. Rev. B 92, 014417 (2015).

112. Sugiyama, J. et al. Lithium diffusion in spinel Li 4 Ti 5 O 12 and LiTi 2 O 4 films detected with 8Li beta-NMR. Phys. Rev. B 96, 094402 (2017).

113. Wilkening, M. et al. Microscopic Li self-diffusion parameters in the lithiated anode material Li 4+x Ti 5 O 12 (0 ≤ x ≤ 3) measured by 7Li solid state NMR. Phys. Chem. Chem. Phys. 9, 6199–6202 (2007).

114. Ruprecht, B., Wilkening, M., Uecker, R. & Heitjans, P. Extremely slow Li ion dynamics in monoclinic Li 2 TiO 3 —probing macroscopic jump diffusion via 7Li NMR stimulated echoes. Phys. Chem. Chem. Phys. 14, 11974–11980 (2012).

115. Wagemaker, M., van de Krol, R., Kentgens, A. P. M., van Well, A. A. & Mulder, F. M. Two phase morphology limits lithium diffusion in TiO 2 (anatase): a 7Li MAS NMR study. J. Am. Chem. Soc. 123, 11454–11461 (2001).

116. Wagemaker, M. et al. The influence of size on phase morphology and Li-ion mobility in nanosized lithiated anatase TiO 2 . Chem. Eur. J. 13, 2023–2028 (2007).

117. Verhoeven, V. W. J. et al. Lithium dynamics in LiMn 2 O 4 probed directly by two-dimensional 7Li NMR. Phys. Rev. Lett. 86, 4314–4317 (2001).

118. Ishiyama, H. et al. Direct measurement of nanoscale lithium diffusion in solid battery materials using radioactive tracer of 8Li. Nucl. Instrum. Methods B 376, 379–381 (2016).

119. Bork, D. & Heitjans, P. NMR relaxation study of ion dynamics in nanocrystalline and polycrystalline LiNbO 3 . J. Phys. Chem. B 102, 7303–7306 (1998).

120. Ruprecht, B. & Heitjans, P. Ultraslow lithium diffusion in Li 3 NbO 4 probed by 7Li stimulated echo NMR spectroscopy. Diffusion Fundamentals 12, 100–101 (2010).

121. Sale, M. & Avdeev, M. 3DBVSMAPPER: a program for automatically generating bond-valence sum landscapes. J. Appl. Crystallogr. 45, 1054–1056 (2012).

122. Avdeev, M., Sale, M., Adams, S. & Rao, R. P. Screening of the alkali-metal ion containing materials from the Inorganic Crystal Structure Database (ICSD) for high ionic conductivity pathways using the bond valence method. Solid State Ion. 225, 43–46 (2012).