Skip to main content
Log in

Neutron powder diffraction study of the orientational order–disorder phase transition in calcite, CaCO3

  • Original Paper
  • Published:
Physics and Chemistry of Minerals Aims and scope Submit manuscript

Abstract

Neutron powder diffraction studies of calcite on heating towards the orientational order–disorder phase transition show that the phase transition is not a simple analogue of an Ising-like transition, but more similar to a rotational analogue of Lindemann melting. The transition is precipitated by the librational amplitude of the carbonate molecular ions exceeding a critical value rather than a result of a statistical entropy of ‘wrong’ orientations. Using tested interatomic potentials the single-particle orientational potential and nearest-neighbour orientational interactions have been calculated.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Bruce AD, Cowley RA (1981) Structural phase transitions. Taylor & Francis, London

    Google Scholar 

  • Dove MT, Powell BM (1989) Neutron diffraction study of the tricritical orientational order/disorder phase transition in calcite at 1260 K. Phys Chem Miner 16:503–507

    Article  Google Scholar 

  • Dove MT, Hagen ME, Harris MJ, Powell BM, Steigenberger U, Winkler B (1992a) Anomalous inelastic neutron scattering from calcite. J Phys Condens Matter 4:2761–2774

    Article  Google Scholar 

  • Dove MT, Winkler B, Leslie M, Harris MJ, Salje E (1992b) A new interatomic potential model for calcite. Am Mineral 77:244–250

    Google Scholar 

  • Ferrario M, Lynden-Bell RM, McDonald IR (1994) Structural fluctuations and the order–disorder phase-transition in calcite. J Phys Condens Matter 6:1345–1358

    Article  Google Scholar 

  • Gonschorek W, Schmahl WW, Weitzel W, Miehe G, Fuess H (1995) Anharmonic motion and multipolar expansion of the electron density in NaNO3. Z Kristallogr 210:843–849

    Article  Google Scholar 

  • Hagen M, Dove MT, Harris MJ, Steigenberger U, Powell BM (1992) Orientational order–disorder phase transition in calcite. Physica B180–181:276–278

    Article  Google Scholar 

  • Harris MJ (1999) A new explanation for the unusual critical behavior of calcite and sodium nitrate, NaNO3. Am Mineral 84:1632–1640

    Google Scholar 

  • Harris MJ, Dove MT, Swainson IP, Hagen ME (1998) Anomalous dynamical effects in calcite, CaCO3. J Phys Condens Matter 10:L423–L429

    Article  Google Scholar 

  • Hatch DM, Merill L (1981) Landau description of the calcite–CaCO3 (III) phase transition. Phys Rev B 23:368–374

    Article  Google Scholar 

  • Heiming A, Petry W, Trampenau J, Alba M, Herzig C, Schober HR, Vogl G (1991) Phonon dispersion of the bcc phase of group IV-metals. I. Bcc zirconium, a model case of dynamical precursors of martensitic transitions. Phys Rev B 43:10948–10962

    Article  Google Scholar 

  • Larson AC, VonDreele RB (1987) GSAS—General Structure Analysis System. Los Alamos National Laboratory report LAUR-86-748

  • Liu J, Duan C-G, Ossowski MM, Mei WN, Smith RW, Hardy JR (2001) Simulation of structural phase transition in NaNO3 and CaCO3. Phys Chem Miner 28:586–590

    Article  Google Scholar 

  • Lynden-Bell RM, Michel KH (1994) Translation–rotation coupling, phase transitions, and elastic phenomena in orientationally disordered crystals. Rev Modern Phys 66:721–762

    Article  Google Scholar 

  • Lynden-Bell RM, Ferrario M, McDonald IR, Salje E (1989) A molecular dynamics study of orientational disordering in crystalline sodium nitrate. J Phys Condens Matter 1:6523–6542

    Article  Google Scholar 

  • Markgraf SA, Reeder RJ (1985) High-temperature structure refinements of calcite and magnesite. Am Mineral 70:590–600

    Google Scholar 

  • Merrill L, Bassett WA (1978) The crystal structure of CaCO3 (II), a high pressure metastable phase of calcium carbonate. Acta Crystallogr B 31:343–349

    Article  Google Scholar 

  • Michel KH, Naudts J (1978) Dynamics of translations and rotations in molecular crystals. J Chem Phys 68:216–228

    Article  Google Scholar 

  • Petry W, Flottmann T, Heiming A, Trampenau J, Alba M, Vogl G (1988) Atomistic study of anomalous self-diffusion in bcc β-titanium. Phys Rev Lett 61:722

    Article  PubMed  Google Scholar 

  • Reeder RJ, Redfern SAT, Salje EKH (1988) Spontaneous strain at the structural phase transition in NaNO3. Phys Chem Miner 15:605–611

    Article  Google Scholar 

  • Rodriguez-Carvajal J (1990) FULLPROF: a program for Rietveld refinement and pattern matching analysis. In: Abstracts of the satellite meeting on powder diffraction of the XV congress of the IUCr, Toulouse, France, p 127

  • Rollings JA, Tennant DC, Swainson IP (1998) A high-transmission furnace insert for neutron powder diffraction studies at high-temperatures under a pressurized reactive atmosphere. J Appl Crystallogr 31:299–301

    Article  Google Scholar 

  • Schmahl WW, Salje EKH (1990) X-ray diffraction study of the orientational order–disorder transition in NaNO3—evidence for order parameter coupling. Phys Chem Miner 16:790–798

    Article  Google Scholar 

  • Swainson IP, Hammond RP (2003) Hydrogen bonding in ikaite, CaCO3.6H2O. Mineral Mag 67:555–562

    Article  Google Scholar 

  • Swainson IP, Dove MT, Harris MJ (1998) The phase transitions in calcite and sodium nitrate. Physica B 241–243:397–399

    Google Scholar 

Download references

Acknowledgements

MTD wishes to thank EPSRC for financial support. We are pleased to acknowledge the collaboration with Mark Hagen and Mark Harris. We would also like to thank Ruth Lynden-Bell for discussions on the molecular dynamics simulation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Martin T. Dove.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dove, M.T., Swainson, I.P., Powell, B.M. et al. Neutron powder diffraction study of the orientational order–disorder phase transition in calcite, CaCO3 . Phys Chem Minerals 32, 493–503 (2005). https://doi.org/10.1007/s00269-005-0026-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00269-005-0026-1

Keywords

Navigation