A SCRF‐CNDO/2 study on proton conductivity mechanisms in hydronium perchlorate. Towards a quantum chemical representation of defects and impurities in crystals

A quantum chemical scheme adapted to study charge separation processes in crystalline molecular/ionic defects is presented. The scheme derives from a generalized self‐consistent reaction field theory of surrounding medium effects. Computational implementation has been done at the CNDO/2‐INDO approximate level; lattice sums are performed by direct summation techniques. The sums are essential for building the static dielectric response function of the crystal to the field set up by the defect charge density and the Madelung potential created by the surrounding crystal permanent charge density. The scheme has been applied to study some aspects of the proton conductivity mechanism in crystalline hydronium perchlorate. The theoretical results lend support to an experimentally grounded molecular mechanism. The theoretical scheme can easily be extended to describing chemical processes taking place at crystal surfaces.

[1]  Coulomb Potential in Ionic Crystals by Direct Summation , 1972 .

[2]  J. Perram,et al.  Simulation of electrostatic systems in periodic boundary conditions. I. Lattice sums and dielectric constants , 1980, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[3]  B. Pullman Environmental Effects on Molecular Structure and Properties , 1975 .

[4]  D. Oxtoby Local polarization theory for field‐induced molecular multipoles , 1980 .

[5]  M. Volmer Über die Existenz des Oxoniumperchlorats , 1924 .

[6]  O. Tapia,et al.  Environmental effects on H-bond potentials: A SCRF MO CNDO/2 study of some model systems. , 1978, Journal of theoretical biology.

[7]  A. Potier,et al.  Conductivité électrique et diffusion du proton dans le perchlorate d'oxonium , 1973 .

[8]  F. S. Lee,et al.  The Crystal Structure of Perchloric Acid Monohydrate. , 1959 .

[9]  E. Uzan,et al.  Polarisabilité électronique des ions dans des cristaux uniaxes. I. système trigonal , 1972 .

[10]  K. Parlinski,et al.  Determination of Parameters of the Rotational Dynamics of the Groups NH4 in NH4ClO4 and H3O in H3OClO4 by Inelastic Scattering of Neutrons , 1965 .

[11]  L R Pratt,et al.  Relation between the local field at large distances from a charge or dipole and the dielectric constant. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[12]  H. Schaefer Methods of Electronic Structure Theory , 1977 .

[13]  M. Allavena,et al.  Semi-empirical calculations on the structure of the oxonium ion in various crystal sites and relative acidity scale , 1976 .

[14]  G. G. Hall,et al.  The development of quantum mechanical solvent effect models. Macroscopic electrostatic contributions , 1976 .

[15]  O. Tapia,et al.  An inhomogeneous self‐consistent reaction field theory of protein core effects. Towards a quantum scheme for describing enzyme reactions , 1981 .

[16]  B. Ninham Long-range vs. short-range forces. The present state of play , 1980 .

[17]  David L. Beveridge,et al.  Approximate molecular orbital theory , 1970 .

[18]  D. Santry,et al.  Nonempirical molecular orbital calculations for hydrogen bonded molecular solids: Molecular dipole and quadrupole moments for solid HF and HCl , 1981 .

[19]  L. Glasser Proton conduction and injection in solids , 1975 .

[20]  Michael J. S. Dewar,et al.  Ground states of molecules. XXV. MINDO/3. Improved version of the MINDO semiempirical SCF-MO method , 1975 .

[21]  O. Tapia,et al.  The quantum chemical calculation of environmental effects: A comparative study of charge separation in water dimers , 1982 .

[22]  R. Mcweeny,et al.  Methods Of Molecular Quantum Mechanics , 1969 .

[23]  Peter Politzer,et al.  Chemical Applications of Atomic and Molecular Electrostatic Potentials: "Reactivity, Structure, Scattering, And Energetics Of Organic, Inorganic, And Biological Systems" , 2013 .

[24]  N. V. Cohan,et al.  Molecular Orbital Study of Ionic Defects in Ice , 1965 .

[25]  P. Kebarle,et al.  Ion Thermochemistry and Solvation From Gas Phase Ion Equilibria , 1977 .

[26]  C. Nordman The crystal structure of hydronium perchlorate at –80°C , 1962 .

[27]  W. G. Laidlaw,et al.  On the application of the variational principle to a type of nonlinear ’’Schrödinger equation’’ , 1979 .