Skip to main content
Log in

A Theoretical Study of 51V Electric Field Gradient Tensors in Pyrovanadates and Metavanadates

  • Published:
Applied Magnetic Resonance Aims and scope Submit manuscript

Abstract.

A computational study of the 51V electric field gradient (EFG) tensors in pyrovanadates, α-Zn2V2O7, Cd2V2O7, β-Mg2V2O7 and BaCaV2O7, and the metavanadates, LiVO3, α-NaVO3, KVO3, ZnV2O6 and MgV2O6, is presented. Restricted Hartree–Fock and hybrid density functional theory calculations have been used to investigate the effects of the size of vanadium-oxygen clusters, basis set size, proton-termination and embedded cluster techniques on the accuracy of the calculated EFG tensors. Good agreement between theory and experiment is obtained for most of the vanadates. A sound methodology is suggested for calculating the EFG tensor in pyrovanadates which contain isolated V2O7 4− clusters. For metavanadates, the charges of the bridging oxygen atoms can be differentiated from those of terminal oxygen atoms by terminating the former with hydrogen atoms, and embedded cluster molecular orbital calculations are useful in accounting for the long-range electrostatic interactions which influence the EFG tensor components. EFG tensor orientations vary for different pyrovanadate structural types, and individual components are confined by symmetry elements in the metavanadates. A preliminary comparison is made between 51V EFG tensors calculated with ab initio and plane wave methods. Theoretical EFG tensor components and orientations, in combination with experimental 51V solid-state nuclear magnetic resonance data, are demonstrated to be useful tools for prediction of molecular structure.

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

  • Hagrman, P.J., Finn, R.C., Zubieta, J.: Solid State Sci. 3, 745–774 (2001)

    Article  Google Scholar 

  • Blasco, T., Nieto, J.M.L.: Appl. Catal. A 157, 117–142 (1997)

    Article  Google Scholar 

  • Busca, G., Lietti, L., Ramis, G., Berti, F.: Appl. Catal. B 18, 1–36 (1998)

    Article  Google Scholar 

  • Livage, J., Gharbi, N., Leroy, M.C., Michaud, M.: Mater. Res. Bull. 13, 1117–1124 (1978)

    Article  Google Scholar 

  • Livage, J.: Chem. Matter. 3, 578–593 (1991)

    Article  Google Scholar 

  • Blasco, T., Nieto, J.M.L., Dejoz, A., Vazquez, M.I.: J. Catal. 157, 271–282 (1995)

    Article  Google Scholar 

  • Rehder, D., Pessoa, J.C., Geraldes, C., Castro, M., Kabanos, T., Kiss, T., Meier, B., Micera, G., Pettersson, L., Rangel, M., Salifoglou, A., Turel, I., Wang, D.R.: J. Biol. Inorg. Chem. 7, 384–396 (2002)

    Article  Google Scholar 

  • Thompson, K.H., McNeill, J.H., Orvig C.: Chem. Rev. 99, 2561–2571 (1999)

    Article  Google Scholar 

  • Pistoia, G., Wang, G., Zane, D.: Solid State Ionics 76, 285–290 (1995)

    Article  Google Scholar 

  • Amarilla, J.M., Casal, B., Ruizhitzky, E.: J. Mater. Chem. 6, 1005–1011 (1996)

    Article  Google Scholar 

  • Gopal, R., Calvo, C.: Can. J. Chem. 51, 1004–1009 (1973)

    Article  Google Scholar 

  • Gopal, R., Calvo, C.: Acta Crystallogr. Sect. B: Struct. Sci. 30, 2491–2493 (1974)

    Article  Google Scholar 

  • Au, P.K.L., Calvo, C.: Can. J. Chem. 45, 2297–2302 (1967)

    Article  Google Scholar 

  • Trunov, V.K., Velikodnyi, I.A., Murashova, E.V., Zhuravlev, V.D.: Dokl. Akad. Nauk SSSR 270, 886–887 (1983)

    Google Scholar 

  • Murashova, E.V., Velikodnyi, Y.A., Trunov, V.K.: Zh. Neorg. Khim. 34, 1388–1392 (1989)

    Google Scholar 

  • Krishnamachari, N., Calvo, C.: Can. J. Chem. 49, 1629–1637 (1971)

    Article  Google Scholar 

  • Gopal, R., Calvo, C.: Can. J. Chem. 49, 3056–3059 (1971)

    Article  Google Scholar 

  • Sleight, A.W., Chen, H.Y., Ferretti, A., Cox, D.E.: Mater. Res. Bull. 14, 1571–1581 (1979)

    Article  Google Scholar 

  • Shannon, R.D., Calvo, C.: Can. J. Chem. 51, 265–273 (1973)

    Article  Google Scholar 

  • Marumo, F., Isobe, M., Iwai, S., Kondo, Y.: Acta Crystallogr. Sect. B: Struct. Sci. 30, 1628–1630 (1974)

    Article  Google Scholar 

  • Ganne, M., Piffard, Y., Tournoux, M.: Can. J. Chem. 52, 3539–3543 (1974)

    Article  Google Scholar 

  • Wyckoff, R.W.G.: Crystal Structures, vol. 2, pp. 430–431. Interscience, New York (1963)

    Google Scholar 

  • Kato, K., Takayama, E.: Acta Crystallogr. Sect. B: Struct. Sci. 40, 102–105 (1984)

    Article  Google Scholar 

  • Ng, H.N., Calvo, C.: Can. J. Chem. 50, 3619–3624 (1972)

    Article  Google Scholar 

  • Yao, T., Oka, Y., Yamamoto, N.: Inorg. Chim. Acta 238, 165–168 (1995)

    Article  Google Scholar 

  • Bouloux, J.C., Perez, G., Galy, J.: Bull. Soc. Fr. Mineral. Cristallogr. 95, 130–133 (1972)

    Google Scholar 

  • Perez, G., Frit, B., Bouloux, J.C., Galy, J.: C. R. Acad. Sci. Ser. C 270, 952–953 (1970)

    Google Scholar 

  • Andreetti, G.D., Calestani, G., Montenero, A., Bettinelli, M.: Z. Kristallogr. 168, 53–58 (1984)

    Google Scholar 

  • Jordan, B.D., Calvo, C.: Can. J. Chem. 52, 2701–2704 (1974)

    Article  Google Scholar 

  • Karpov, O.G., Simonov, M.A., Krasnenko, T.I., Zabara, O.A.: Kristallografiya 34, 1392–1395 (1989)

    Google Scholar 

  • Pyykko, P.: Mol. Phys. 99, 1617–1629 (2001)

    Article  ADS  Google Scholar 

  • Le Coustumer, L.R., Taouk, B., Lemeur, M., Payen, E., Guelton, M., Grimblot, J.: J. Phys. Chem. 92, 1230–1235 (1988)

    Article  Google Scholar 

  • Taouk, B., Guelton, M., Grimblot, J., Bonnelle, J.P.: J. Phys. Chem. 92, 6700–6705 (1988)

    Article  Google Scholar 

  • Eckert, H., Wachs, I.E.: J. Phys. Chem. 93, 6796–6805 (1989)

    Article  Google Scholar 

  • Lapina, O.B., Mastikhin, V.M., Shubin, A.A., Krasilnikov, V.N., Zamaraev, K.I.: Prog. Nucl. Magn. Reson. Spectrosc. 24, 457–525 (1992)

    Article  Google Scholar 

  • Das, N., Eckert, H., Hu, H.C., Wachs, I.E., Walzer, J.F., Feher, F.J.: J. Phys. Chem. 97, 8240–8243 (1993)

    Article  Google Scholar 

  • Chary, K.V.R., Kishan, G.: J. Phys. Chem. 99, 14424–14429 (1995)

    Article  Google Scholar 

  • Blasco, T., Nieto, J.M.L.: Colloids Surf. A 115, 187–193 (1996)

    Article  Google Scholar 

  • Gheorghe, C., Gee, B.: Chem. Mater. 12, 682–685 (2000)

    Article  Google Scholar 

  • Lapina, O.B., Khabibulin, D.F., Shubin, A.A., Bondareva, V.M.: J. Mol. Catal. A: Chem. 162, 381–390 (2000)

    Article  Google Scholar 

  • Lapina, O.B., Bodart, P.R., Amoureux, J.P., in: Fraissard, J., Lapina, O. (eds.) Magnetic Resonance in Colloid and Interface Science. NATO Science Series II: Mathematics, Physics, Chemistry, vol. 76, pp. 355–363. Kluwer Academic, Dordrecht (2002)

    Google Scholar 

  • Grasser, S., Haessner, C., Koehler, K., Lefebvre, F., Basset, J.-M.: Phys. Chem. Chem. Phys. 5, 1906–1911 (2003)

    Article  Google Scholar 

  • Gee, B.A., Wong, A.: J. Phys. Chem. B 107, 8382–8387 (2003)

    Article  Google Scholar 

  • Pooransingh, N., Pomerantseva, E., Ebel, M., Jantzen, S., Rehder, D., Polenova, T.: Inorg. Chem. 42, 1256–1266 (2003)

    Article  Google Scholar 

  • Nielsen, U.G., Topsoe, N.-Y., Brorson, M., Skibsted, J., Jakobsen, H.J.: J. Am. Chem. Soc. 126, 4926–4933 (2004)

    Article  Google Scholar 

  • Andronenko, S.I., Dmitrieva, L.V., Molodchenko, N.G., Moskalev, V.V., Zoni, Z.N.: Fiz. Tverd. Tela 21, 914–916 (1979)

    Google Scholar 

  • Hayashi, S., Hayamizu, K.: Bull. Chem. Soc. Jpn. 63, 961–963 (1990)

    Article  Google Scholar 

  • Davis, J., Tinet, D., Fripiat, J.J., Amarilla, J.M., Casal, B., Ruizhitzky, E.: J. Mater. Res. 6, 393–400 (1991)

    Article  ADS  Google Scholar 

  • Skibsted, J., Nielsen, N.C., Bildsoe, H., Jakobsen, H.J.: J. Am. Chem. Soc. 115, 7351–7362 (1993)

    Article  Google Scholar 

  • Skibsted, J., Jacobsen, C.J.H., Jakobsen, H.J.: Inorg. Chem. 37, 3083–3092 (1998)

    Article  Google Scholar 

  • Bodart, P.R., Dumazy, Y., Amoureux, J.P., Fernandez, C.: Magn. Reson. Chem. 37, 223–226 (1999)

    Article  Google Scholar 

  • Nielsen, U.G., Jakobsen, H.J., Skibsted, J.: Inorg. Chem. 39, 2135–2145 (2000)

    Article  Google Scholar 

  • Nielsen, U.G., Jakobsen, H.J., Skibsted, J.: J. Phys. Chem. B 105, 420–429 (2001)

    Article  Google Scholar 

  • Nielsen, U.G., Boisen, A., Brorson, M., Jacobsen, C.J.H., Jakobsen, H.J., Skibsted, J.: Inorg. Chem. 41, 6432–6439 (2002)

    Article  Google Scholar 

  • Nielsen, U.G., Jakobsen, H.J., Skibsted, J.: Solid State Nucl. Magn. Reson. 23, 107–115 (2003)

    Article  Google Scholar 

  • Marichal, C., Kempf, J.Y., Maigret, B., Hirschinger, J.: Solid State Nucl. Magn. Reson. 8, 33–46 (1997)

    Article  Google Scholar 

  • Huang, W.L., Todaro, L., Francesconi, L.C., Polenova, T.: J. Am. Chem. Soc. 125, 5928–5938 (2003)

    Article  Google Scholar 

  • Schwarz, K.: J. Solid State Chem. 176, 319–328 (2003)

    Article  ADS  Google Scholar 

  • Schwarz, K., Blaha, P.: Comput. Mater. Sci. 28, 259–273 (2003)

    Article  Google Scholar 

  • Petrilli, H.M., Blochl, P.E., Blaha, P., Schwarz, K.: Phys. Rev. B: Condens. Matter Mater. Phys. 57, 14690–14697 (1998)

    ADS  Google Scholar 

  • Jager, B., Paluch, S., Wolf, W., Herzig, P., Zogal, O.J., Shitsevalova, N., Paderno, Y.: J. Alloys Compd. 383, 232–238 (2004)

    Article  Google Scholar 

  • Blaha, P., Schwarz, K., Faber, W., Luitz, J.: Hyperfine Interact. 126, 389–395 (2000)

    Article  ADS  Google Scholar 

  • Iglesias, M., Schwarz, K., Blaha, P., Baldomir, D.: Phys. Chem. Miner. 28, 67–75 (2001)

    Article  ADS  Google Scholar 

  • Zhou, B., Sherriff, B.L.: Am. Mineral. 89, 377–381 (2004)

    Google Scholar 

  • Ravindran, P., Delin, A., James, P., Johansson, B., Wills, J.M., Ahuja, R., Eriksson, O.: Phys. Rev. B: Condens. Matter Mater. Phys. 59, 15680–15693 (1999)

    ADS  Google Scholar 

  • Lalic, M.V., Mestnik-Filho, J., Carbonari, A.W., Saxena, R.N.: Solid State Commun. 125, 175–178 (2003)

    Article  ADS  Google Scholar 

  • Laskowski, R., Blaha, P., Schwarz, K.: Phys. Rev. B: Condens. Matter Mater. Phys. 67, 075102 (2003)

    ADS  Google Scholar 

  • Devine, R.A.B., Dixon, J.M.: Phys. Rev. B 7, 4902–4907 (1973)

    Article  ADS  Google Scholar 

  • Body, M., Silly, G., Legein, C., Buzare, J.Y., Calvayrac, F., Blaha, P.: Chem. Phys. Lett. 424, 321–326 (2006)

    Article  ADS  Google Scholar 

  • Siegel, R., Hirschinger, J., Carlier, D., Menetrier, M., Delmas, C.: Solid State Nucl. Magn. Reson. 23, 243–262 (2003)

    Article  Google Scholar 

  • Truflandier, L., Paris, M., Payen, C., Boucher, F.: J. Phys. Chem. B 110, 21403–21407 (2006)

    Article  Google Scholar 

  • Hansen, M.R., Madsen, G.K.H., Jakobsen, H.J., Skibsted, J.: J. Phys. Chem. B 110, 5975–5983 (2006)

    Article  Google Scholar 

  • Bryant, P.L., Harwell, C.R., Wu, K., Fronczek, F.R., Hall, R.W., Butler, L.G.: J. Phys. Chem. A 103, 5246–5252 (1999)

    Article  Google Scholar 

  • Willans, M.J., Schurko, R.W.: J. Phys. Chem. B 107, 5144–5161 (2003)

    Article  Google Scholar 

  • Lo, A.Y.H., Bitterwolf, T.E., Macdonald, C.L.B., Schurko, R.W.: J. Phys. Chem. A 109, 7073–7087 (2005)

    Article  Google Scholar 

  • Widdifield, C.M., Schurko, R.W.: J. Phys. Chem. A 109, 6865–6876 (2005)

    Article  Google Scholar 

  • Lewandowski, A.C., Wilson, T.M.: J. Comput. Phys. 129, 233–242 (1996)

    Article  ADS  Google Scholar 

  • Gee, B.A.: Solid State Nucl. Magn. Reson. 30, 171–181 (2006)

    Article  Google Scholar 

  • Stueber, D.: Concepts Magn. Reson. A 28A, 347–368 (2006)

    Article  Google Scholar 

  • Grant, C.V., Cope, W., Ball, J.A., Maresch, G.G., Gaffney, B.J., Fink, W., Britt, R.D.: J. Phys. Chem. B 103, 10627–10631 (1999)

    Article  Google Scholar 

  • Hermann, K., Witko, M., Druzinic, R.: Faraday Discuss. 114, 53–66 (1999)

    Article  Google Scholar 

  • Vorotilova, L.S., Dmitrieva, L.V., Lavrov, S.A., Shchegolev, B.F.: Phys. Solid State 44, 1864–1868 (2002)

    Article  ADS  Google Scholar 

  • Becke, A.D.: Phys. Rev. A: At. Mol. Opt. Phys. 38, 3098–3100 (1988)

    ADS  Google Scholar 

  • Becke, A.D.: J. Chem. Phys. 98, 5648–5652 (1993)

    Article  ADS  Google Scholar 

  • Lee, C., Yang, W., Parr, R.G.: Phys. Rev. B: Condens. Matter Mater. Phys. 37, 785–789 (1988)

    ADS  Google Scholar 

  • Frisch, M.J., Trucks, G.W., Schlegel, H.B., Scuseria, G.E., Robb, M.A., Cheeseman, J.R., Zakrzewski, V.G., Montgomery, J.A. Jr., Stratmann, R.E., Burant, J.C., Dapprich, S., Millam, J.M., Daniels, A.D., Kudin, K.N., Strain, M.C., Farkas, O., Tomasi, J., Barone, V., Cossi, M., Cammi, R., Mennucci, B., Pomelli, C., Adamo, C., Clifford, S., Ochterski, J., Petersson, G.A., Ayala, P.Y., Cui, Q., Morokuma, K., Malick, D.K., Raduck, A.D., Raghavachari, K., Foresman, J.B., Cioslowski, J., Ortiz, J.V., Baboul, A.G., Stefanov, B.B., Liu, G., Liashenko, A., Piskorz, P., Komaromi, I., Gomperts, R., Martin, R.L., Fox, D.J., Keith, T., Al-Laham, M.A., Peng, C.Y., Nanayakkara, A., Challacombe, M., Gill, P.M.W., Johnson, B., Chen, W., Wong, M.W., Andres, J.L., Gonzalez, C., Head-Gordon, M., Replogle, E.S., Pople, J.A: Gaussian 98, Revision A.9. Gaussian Inc., Pittsburgh, Pa. (1998)

    Google Scholar 

  • Huzinaga, S., Andzelm, J., in: Huzinaga, S. (ed.) Gaussian Basis Sets for Molecular Calculations, pp. 124–134. Elsevier, New York (1984)

    Google Scholar 

  • Michalak, A., Witko, M., Hermann, K.: Surf. Sci. 375, 385–394 (1997)

    Article  ADS  Google Scholar 

  • Zhang, L., Chen, Z.D.: Chem. Phys. Lett. 345, 353–360 (2001)

    Article  ADS  Google Scholar 

  • Clark, S.J., Segall, M.D., Pickard, C.J., Hasnip, P.J., Probert, M.I.J., Refson, K., Payne, M.C.: Z. Kristallogr. 220, 567–570 (2005)

    Article  Google Scholar 

  • Strohmeier, M., Barich, D.H., Grant, D.M., Miller, J.S., Pugmire, R.J., Simons, J.: J. Phys. Chem. A 110, 7962–7969 (2006)

    Article  Google Scholar 

  • Strohmeier, M., Grant, D.M.: J. Am. Chem. Soc. 126, 966–977 (2004)

    Article  Google Scholar 

  • Strohmeier, M., Stueber, D., Grant, D.M.: J. Phys. Chem. A 107, 7629–7642 (2003)

    Article  Google Scholar 

  • Stueber, D., Grant, D.M.: Solid State Nucl. Magn. Reson. 22, 439–457 (2002)

    Article  Google Scholar 

  • Stueber, D., Grant, D.M.: J. Am. Chem. Soc. 124, 10539–10551 (2002)

    Article  Google Scholar 

  • Stueber, D., Guenneau, F.N., Grant, D.M.: J. Chem. Phys. 114, 9236–9243 (2001)

    Article  ADS  Google Scholar 

  • Stueber, D., Orendt, A.M., Facelli, J.C., Parry, R.W., Grant, D.M.: Solid State Nucl. Magn. Reson. 22, 29–49 (2002)

    Article  Google Scholar 

  • Barich, D.H., Clawson, J.S., Stueber, D., Strohmeier, M., Pugmire, R.J., Grant, D.M.: J. Phys. Chem. A 106, 11375–11379 (2002)

    Article  Google Scholar 

  • Clawson, J.S., Anderson, K.L., Pugmire, R.J., Grant, D.M.: J. Phys. Chem. A 108, 2638–2644 (2004)

    Article  Google Scholar 

  • di Fiori, N., Orendt, A.M., Caputo, M.C., Ferraro, M.B., Facelli, J.C.: Magn. Reson. Chem. 42, S41–S47 (2004)

    Article  Google Scholar 

  • Orendt, A.M.: Magn. Reson. Chem. 44, 385–389 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Authors' address: Robert W. Schurko, Department of Chemistry and Biochemistry, University of Windsor, Windsor, Ontario N9B 3P4, Canada

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lo, A., Hanna, J. & Schurko, R. A Theoretical Study of 51V Electric Field Gradient Tensors in Pyrovanadates and Metavanadates. Appl Magn Reson 32, 691–708 (2007). https://doi.org/10.1007/s00723-007-0045-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00723-007-0045-9

Keywords

Navigation