Skip to main content
Log in

Theoretical studies of hydrogen storage in binary Ti-Ni, Ti-Cu, and Ti-Fe alloys

  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Abstract

Theoretical studies have been carried out to examine hydrogen storage in some binary transition metal alloys which include titanium as one of the alloying elements. Quantum mechanical calculations at the Extended Hückel level of approximation have been performed on numerous clusters of compositions Ti18Ni18, Ti18Ni18H, Ti18Ni18H12, Ti24Ni12, Ti24Ni12H, Ti24Ni12Hi12, Ti16Cu16, Ti16Cu16H, Ti24Cu2, Ti16Fe16, Ti16Fe16H9, and Ti16Fe16H32, to yield information on energetics, densities of states, charge distributions, and the effects of hydrogenation on these properties. In addition, ab initio calculations at the split valence level of approximation have been performed on several smaller clusters. The hydrogens have been shown to acquire a partially anionic character in all cases. Another conclusion is that the preference of H for certain types of sites (for example the tetrahedral Ti4 sites in crystalline TiCu) is more likely to be related not to the intrinsically greater stability of a hydrogen atom located in such a site, but to more general topological and electronic considerations. Qualitative concepts related to the classification, spatial distribution, and sizes and shapes of “hole” sites which could become occupied by hydrogen atoms, have been shown to correlate with hydrogen storage capacity for crystalline materials. These qualitative concepts have been extended to amorphous materials and corroborate the observations that under optimized conditions amorphous alloys can be found with better reversible hydrogen storage properties than the crystalline or microcrystalline systems. Distorted tetrahedral and octahedral holes have been examined in detail, and parameters (volume, area, “tetrahedrality”, and “octahedrality”) have been introduced to describe their sizes and shapes. An algorithmic surveying technique has been introduced, and shown to provide useful information about the limiting amounts of hydrogen uptake.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ovshinsky SR et al., to be published (also see [32])

  2. For an excellent recent review (with 161 references) of the properties and applications of metal hydrides in energy conversion systems, see: Wenzl H (1982) Int Metals Rev, 27:140–168

    Google Scholar 

  3. Papaconstantopoulos DA, McCaffrey JW, Nagel DJ (1973) J Phys F: Met Phys 3:L26

    Google Scholar 

  4. Papaconstantopoulos DA (1973) Phys Rev Lett 31:1050

    Google Scholar 

  5. Kallne E (1974) J Phys F: Met Phys 4:167

    Google Scholar 

  6. Switendick AC (1978) In: Alefeld G, Volkl J (eds) Hydrogen in metals I. Springer, Berlin p 101

    Google Scholar 

  7. Switendick AC (1978) Transition metal hydrides. Advances in Chemistry Series 167:264–282

    Google Scholar 

  8. Switendick AC (1979) Z Phys Chem NF 117:89

    Google Scholar 

  9. Switendick AC (1980) J Less-Common Met 74:199

    Google Scholar 

  10. Gupta M, Burger JP (1981) Phys Rev B 24:7099

    Google Scholar 

  11. Keller J, Castro M, de Paoli AL (1982) J Appl Phys 53:8850

    Google Scholar 

  12. Gupta M (1982) Phys Lett 88A:469

    Google Scholar 

  13. Gupta M (1982) J Phys F: Met Phys 12:L57

    Google Scholar 

  14. Boletskaya TK, Egorushkin BE, Fadin VP (1982) Phys Stat Sol B 113:307

    Google Scholar 

  15. Papaconstantopoulos DA, Kamm GN, Poulopoulos PN (1982) Solid State Commun 41:93

    Google Scholar 

  16. Peterman DJ, Misemer DK, Weaver JH, Peterson DT (1983) Phys Rev B 27:799

    Google Scholar 

  17. Chan CT, Louie SG (1983) ibid 27:3325

    Google Scholar 

  18. Griessen R (1983) ibid 27:7575

    Google Scholar 

  19. Ho KM, Tao HJ, Zhu XY (1984) Phys Rev Lett 53:1586

    Google Scholar 

  20. Fukai Y (1984) J Less-Common Met 101:1

    Google Scholar 

  21. Wicke E (1984) ibid 101:17

    Google Scholar 

  22. Gupta M (1984) ibid 101:35

    Google Scholar 

  23. Switendick AC (1984) ibid 101:191

    Google Scholar 

  24. Vaks VG, Zein NE, Orlov VG, Zinenko VI (1984) ibid 101:493

    Google Scholar 

  25. Griessen R, Driessen A (1984) Phys Rev B 30:4372

    Google Scholar 

  26. Rao BK, Jena P (1985) Phys Rev B 31:6726

    Google Scholar 

  27. Messmer RP, Salahub DR, Johnson KH, Yang CY (1977) Chem Phys Lett 51:84

    Google Scholar 

  28. Upton TH (1984) J Am Chem Soc 106:1561

    Google Scholar 

  29. Johnson JR, Reilly JJ (1978) Inorg Chem 17:3103

    Google Scholar 

  30. Cotts RM In: Hydrogen in metals I, Ref. 3d

    Google Scholar 

  31. Flotow HE (1979) Z Phys Chem NF 116:95

    Google Scholar 

  32. Weaver JH, Peterson DT (1980) J Less-Common Met 74:207

    Google Scholar 

  33. Schlapbach L, Scherrer HR (1982) Solid State Commun 41:893

    Google Scholar 

  34. Bowman RC Jr, Maeland AJ, Rhim WK (1982) Phys Rev B 26:6362

    Google Scholar 

  35. Saw CK, Beaudry BJ, Stassis C (1983) ibid 27: 7013

    Google Scholar 

  36. Bohmhammel K, Wolf G, Mädge H (1984) J Less-Common Met 101:239

    Google Scholar 

  37. Ref. 3n also presents experimental results

    Google Scholar 

  38. Hoffmann R (1963) J Chem Phys 39:1397

    Google Scholar 

  39. Hoffmann R, Lipscomb WN Jr (1962) ibid 36:2179 and 3479; and ibid 37:2872; for some recent applications to solids, see:

    Google Scholar 

  40. Whangbo MH, Hoffmann R (1978) J Am Chem Soc 100:6093

    Google Scholar 

  41. Hughbanks T, Hoffmann R (1983) ibid 105:1150 and 3528

    Google Scholar 

  42. Hoffmann R, Hughbanks T, Kertesz M, Bird PH (1983) ibid 105:4831

    Google Scholar 

  43. See Ref. 3e for a discussion of TiH2 and PdH, and 4g for a discussion of the deuterated system ScDx

    Google Scholar 

  44. For an excellent recent review of the concepts involved in the question of site occupancy, and of numerous other methods addressing related problems, see Westlake DG (1983) J Less-Common Met 91:1

    Google Scholar 

  45. Binkley JS, Whiteside RA, Krishnan R, Seeger R, DeFrees DJ, Schlegel HB, Topiol S, Kahn RL, Pople JA (1980) QCPE 13:406

    Google Scholar 

  46. Pietro WJ, Hehre WJ (1983) J Comput Chem 4:241; instead of a 3spd shell, a 3sp and a 3d shell are used

    Google Scholar 

  47. Lohr LL Jr, Pyykkö P (1979) Chem Phys Lett 62:333

    Google Scholar 

  48. Howell J, Rossi A, Wallace D, Haraki K, Hoffmann R: QCPE Program No. 344

  49. Veillard A, Demuynck J (1977) In: Schaefer III HF (ed) Modern theoretical chemistry vol 4. Plenum, New York, pp 187–222

    Google Scholar 

  50. Huzinaga S (1984) Gaussian basis sets for molecular calculations. Elsevier, New York

    Google Scholar 

  51. Krishnan R, Binkley JS, Seeger R, Pople JA (1980) J Chem Phys 72:650

    Google Scholar 

  52. Desclaux J-P (1973) At Data Nucl Data Tables 12:311

    Google Scholar 

  53. The original references are: Burns G (1964) J Chem Phys 41:1251 for the s and p orbitals

    Google Scholar 

  54. The original references are: Richardson JW, Nieuwpoort WC, Powell RR, Edgell WF (1962) ibid 36:1057

    Google Scholar 

  55. Pitzer KS (1979) Acc Chem Res 12:271

    Google Scholar 

  56. Pyykkö P, Desclaux J-P (1979) ibid 12:276

    Google Scholar 

  57. Baskes MI, Melius CF, Wilson WD (1981) In: Bernstein IM, Thompson AW (eds) Hydrogen effects in metals. Metallurgical Society of AIME, pp 67–75

  58. Daw MS, Baskes MI (1983) Phys Rev Lett 50:1285

    Google Scholar 

  59. Hintermann A, Manninen M (1983) Phys Rev B 27:7262

    Google Scholar 

  60. Bagus PS, Schaefer III HF, Bauschlicher CW Jr (1983) J Chem Phys 78:1390

    Google Scholar 

  61. Pearson WB (1967) A handbook of lattice spacings and structure of metals and alloys vol 2. Pergamon Press, Oxford, for TiNi, TiCo and TiFe

    Google Scholar 

  62. Mueller MH, Knott HW (1963) Trans Met Soc of AIME 227:674, for Ti2Ni and Ti2Cu

    Google Scholar 

  63. Thompson P, Reilly JJ, Reidinger R, Hastings JM, Corliss LM (1979) J Phys F: Metal Phys 9:L61 for FeTiD2, assuming that the deuteriums can each be replaced by a hydrogen at the same position

    Google Scholar 

  64. Metals handbook (1973) Metallography, structures and phase diagrams, 8th edn vol. 8. American Society for metals, pp 237 and 239 for TiCu

  65. Otsuka K, Sawamura T, Shimizu K (1971) Phys Stat Sol 5:457 for the monoclinic phase of TiNi

    Google Scholar 

  66. Buchner H, Gutjahr MA, Beccu KD, Saufferer H (1972) ZF Metallk 63:497

    Google Scholar 

  67. Lundin CE, Lynch FE, Magee CB (1977) J Less-Common Met 56:19

    Google Scholar 

  68. Handbook of chemistry and physics (1979) Weast RC, Astle MJ (eds) 60th edn CRC Press, p F-217

  69. Bicerano J, Marynick DS, Lipscomb WN (1978) Inorg Chem 17:3443

    Google Scholar 

  70. For a parameterization widely used for organometallic species, see: Lauher JW, Hoffmann R (1976) J Am Chem Soc 98:1729

    Google Scholar 

  71. For a parameterization widely used for organometallic species, see: Summerville RH, Hoffmann R (1976) ibid 98:7240. When we attempted to use this parametrization for the binary transition metal alloy and hydride systems described in this paper, we obtained unreasonable results (preliminary calculations, results not listed).

    Google Scholar 

  72. Eastman DE (1972) Solid State Commun 10:933

    Google Scholar 

  73. Kittel C (1976) Introduction to solid state physics, 5th edition. Wiley, New York, chap 3, p 74, Table I

    Google Scholar 

  74. For example, the STO-3G calculations reported in Ref. 19 for the Be36 cluster yield CE(cluster)= 23 kcal/mol per atom. This leads to CE=41.4 kcal/ mol per atom after weighting by the ratio ¯C(bulk)/¯C(cluster)=12/62/3=1.8. This value is still much less than the 78 kcal/mol per atom CE of the bulk metal. (Stull DR, Prophet H (1979) JANAF thermochemical tables, 2nd edn. NSRDS-NBS 37. Superintendent of Documents, Washington, D.C.)

  75. Allred AL (1961) J Inorg Nucl Chem 17:215

    Google Scholar 

  76. Ref. 22, Table II. Note that our definition is per H atom obtained by breaking up an H2, while their definition is per H2 molecule. Thus, our values are half of theirs. The conversion factor from kcal/mol to eV is 1/23.061

    Google Scholar 

  77. Mal HH van, Bushow KHJ, Miedema AR (1974) J Less-Common Met 35:65

    Google Scholar 

  78. Miedema AR, Boom R, DenBoer FR (1975) ibid 41:283

    Google Scholar 

  79. Bouten PC, Miedema AR (1980) ibid 71:147

    Google Scholar 

  80. Ovshinsky SR, Sapru K, Dec K, Hong KC (1984) U.S. Patent No. 4,431,561 (issued on February 14)

  81. A considerable amount of work has been carried out to investigate the hole structure of computer models of non-crystalline materials. For example, see Popescu MA (1980) J Non-Cryst Solids 35, 36:549 for a discussion in terms of hole radius distributions and their relationships to some of the properties of amorphous materials

    Google Scholar 

  82. Ovshinsky SR (1985) In: Adler D, Schwartz BB, Steele MC (eds) Physical properties of amorphous materials. Institute for Amorphous Studies Series, vol 1. Plenum Press, New York, p 105

    Google Scholar 

  83. Ovshinsky SR (1985) J Non-Cryst Solids 75:161

    Google Scholar 

  84. For a comprehensive general review of the theory of the structures of non-crystalline (i.e., “amorphous”) solids, written especially for chemists, see Bicerano J, Adler D: Pure Appl Chem, in press

  85. Ref. 23, pp F-222 and F-223

Download references

Author information

Authors and Affiliations

Authors

Additional information

Camille and Henry Dreyfus teacher-scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bicerano, J., Keem, J.E. & Schlegel, H.B. Theoretical studies of hydrogen storage in binary Ti-Ni, Ti-Cu, and Ti-Fe alloys. Theoret. Chim. Acta 70, 265–296 (1986). https://doi.org/10.1007/BF00534235

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00534235

Key words

Navigation