Thermodynamic properties and Debye-Waller factor of fee materials

We have calculated the equation of state and the various thermodynamic properties of monatomic fcc crystals by minimizing the Helmholtz free energy derived in the high temperature limit for the quasiharmonic theory, QH, and the lowest-order (cubic and quartic), 'A2, anharmonic terms of the perturbation theory, PT. The total energy in each case is obtained by adding the static energy. The calculation of the thermal properties was carried out for a nearest-neighbour central-force model of the fcc lattice by means of the appropriate thermodynamic relations. We have calculated the lattice constant, the thermal expansion, the coefficient of volume expansion, the specific heat at constant volume and at constant pressure, the isothermal and adiabatic bulk moduli, and the Griineisen parameter, for the rare-gas solids Kr and Xe, and gold. Morse potential and modified Morse potential were each used to represent the atomic interaction for the three fcc materials. For most of the calculated thermodynamic properties from the QH theory, the results for Kr and Xe with the modified Morse potential show an improvement over the results for the Morse potential when compared with the experimental data. However, the results of the 'A 2 equation of state with the modified Morse potential are in good agreement with experiment only in the case of the specific heat at constant volume and at constant pressure. For Au we have calculated the lattice contribution from the QH and 'A 2 PT and the electronic contribution to the thermal properties. The electronic contribution was taken into account by using the free electron model. The results of the thermodynamic properties calculated with the modified Morse potential were similar to those obtained with the Morse potential. U sing the minimized equation of state we also calculated the Mossbauer recoilless fraction for Kr and Xe and the Debye-Waller factor (DWF) for Pb, AI, eu, Ag, and Au. The Mossbauer recoilless fraction was obtained for the above two potentials and Lennard-Jones potential. The L-J potential gives the best agreement with experiment for Kr. No experimental data exists for Xe. At low temperature the calculated DWF results for Pb, AI, and eu show a good agreement with experimental values, but at high temperature the experimental DWF results increase very rapidly. For Ag the computed values were below the expected results at all temperatures. The DWF results of the modified Morse potential for Pb, AI, eu and Ag were slightly better than those of the Morse potential. In the case of Au the calculated values were in poor agreement with experimental results. We have calculated the quasiharmonic phonon dispersion curves for Kr, Xe, eu, Ag, and Au. The calculated and experimental results of the frequencies agree quite well for all the materials except for Au where the longitudinal modes show serious discrepancies with the experimental results. In addition, the two lowest-order anharmonic contributions to the phonon frequency were derived using the Green's function method. The A 2 phonon dispersion curves have been calculated only for eu, and the results were similar to those of the QH dispersion curves. Finally, an expression for the Griineisen parameter "( has been derived from the anharmonic frequencies, and calculated for these materials. The "( results are comparable with those obtained from the thermodynamic definition.

Phonon spectra and thermal properties of some fcc metals using embedded-atom potentials /

By employing the embedded-atom potentials of Mei et ai.[l], we have calculated the dynamical matrices and phonon dispersion curves for six fee metals (Cu,Ag,Au,Ni,Pd and Pt). We have also investigated, within the quasiharmonic approximation, some other thermal properties of these metals which depend on the phonon density of states, such as the temperature dependence of lattice constant, coefficient of linear thermal expansion, isothermal and adiabatic bulk moduli, heat capacities at constant volume and constant pressure, Griineisen parameter and Debye temperature. The computed results are compared with the experimental findings wherever possible. The comparison shows a generally good agreement between the theoretical values and experimental data for all properties except the discrepancies of phonon frequencies and Debye temperature for Pd, Pt and Au. Further, we modify the parameters of this model for Pd and Pt and obtain the phonon dispersion curves which is in good agreement with experimental data.

W.W. Tyrrill receipt, June 1888

A receipt from W.W. Tyrrill, of St. Catharines, Ontario dated June 2, 1888, for a ladies Swiss watch priced at $11.00. The receipt is a rental agreement which specifies the terms of a fee payment schedule. Information on the receipt indicates Mr. Tyrrill sold watches, jewelry, silver plated goods, albums and Bibles. He is also listed as an agent for pianos, organs and Singer sewing machines. This receipt was in the possession of Iris Sloman Bell, of St. Catharines. Relatives of the Sloman Bell families include former Black slaves from the United States who settled in southern Ontario.There are various spellings of the Tyrrill name within the Bell family archive. Other forms of the name include Tyrell, Tyrrell, and Terrell.

The effect of governance mechanism and structure on fees and performance of Mutual Funds in Canada

Taking advantage of the unique Canadian setting, this study empirically analyzes the impact of presence of the board of directors, as an internal governance mechanism, on fees and performance of mutual funds. Further, the impact of the board structure on fees and performance of corporate class funds is analyzed. We find that corporate class funds, which have a separate board of directors for the fund, charge higher fees; however, they also provide superior performance than trust funds. Furthermore, we find that for corporate class funds, smaller board, with higher percentage of independent directors, and with the fund CEO acting as the chairman of the board is likely to charge lower fees. Also, more independent boards are strongly associated with superior fee-adjusted performance.

Indenture between John Picard and Peter Servos

Indenture of mortgage in fee between John Picard of the Township of Niagara and Peter Servos of the Township of Niagara regrading part of Lot no. 113 in the Township of Niagara - instrument no. 6269. This is listed in book B, folio 33, August 17, 1855.

Indenture between Thomas Murtagh and Samuel Zimmerman

Indenture of mortgage in fee between Thomas Murtagh of the Town of Elgin and Samuel Zimmerman of NIagara Falls regarding Lot no. 15 in Block N in the Town Plot of Elgin - instrument no. 3164[9?], September 24, 1855.

Indenture between Patrick and Mary Burns and Samuel DeVeaux Woodruff

Indenture of mortgage in fee with dower between Patrick and Mary Burns of the Township of Grantham and Samuel DeVeaux Woodruff of St. Catharines regarding parts of Lots no. 19 and 23 in the 5th Concession in the Town of Grantham - instrument no. 14820. Listed in Book E, folio 339, October 3, 1864.