Anharmonic Helmholtz free energy to O(lambdaâ ´) in the non- leading term approximation /|nby Leslie Wilk. -- 260 St. Catharines, Ont. : [s. n.],

Expressions for the anharmonic Helmholtz free energy contributions up to o( f ) ,valid for all temperatures, have been obtained using perturbation theory for a c r ystal in which every atom is on a site of inversion symmetry. Numerical calculations have been carried out in the high temperature limit and in the non-leading term approximation for a monatomic facecentred cubic crystal with nearest neighbour c entralforce interactions. The numbers obtained were seen to vary by a s much as 47% from thos e obtai.ned in the leading term approximati.on,indicating that the latter approximati on is not in general very good. The convergence to oct) of the perturbation series in the high temperature limit appears satisfactory.

National energy policies of the Federal Republic of Germany and Canada in the 1970s and 1980s: are economic and/or environmental concerns responsible for change?

The thesis presents a comparison of the national energy policies of the Federal Republic of Germany and Canada from 1973 until the late 1980s. The purpose of this paper is to analyze whether economic and/or environmental concerns were responsible for changes in the· West-German and Canadian national energy policies. Furthermore, the feasibility of implementing a soft energy path in West-Germany and Canada is examined. For better comprehension of the policy-making process and implemented changes in the national energy policies of the two states, the West-German and Canadian parliamentary systems and the political cultures were compared. For the analysis, several events with international impact were taken as guidelines. Furthermore, based on statistical data, the West-German and Canadian energy production and consumption were analyzed. With reference to these results the degree of the de facto changes in the national energy policies were analyzed. In addition, the thesis discusses the possibilities which a soft energy path offers to both national governments to renounce themselves from the dependencies on a few energy resources. The thesis reveals that changes in the West-German and Canadian national energy policies, in their energy production and consumption are correlated to various world events. In particular, governmental reponses security of energy supply by the two international oil crises of 1973 and 1979/1980 demonstrate that changes in the West-German and Canadian national energy policies were implemented in reaction to economic concerns than environmental ones. With the policies "away from oil" and "off oil", the West-German and Canadian government implemented the i i substitution of oil through various diverse energy supply resources. However, energy savings concepts and policies were initiated through the first oil crisis in 1973. The world recessions in 1975 and 1982 had no 'profound impacts on the agenda of West-German and Canadian energy policies. As a consequence of the stagnation or the negative growth of the world economic market, changes in their energy production and consumption can be perceived. However, the West-German and Canadian energy production and consumption intensified with the augmentation of the world economy. During the period of study, environmental concerns were taken into account in the energy policy agendas of the Federal Republic of Germany and Canada but they were not of primary concern. wi thin the decade of. the 1980s notably more environmental considerations were taken into account in the energy policies of the two states. The two nuclear reactor accidents in 1979 and 1986 sharpened to various degrees West-German and Canadian public discourse of present energy supply mix and attitude towards energy production and consumption. The statistical data reflects yet no changes in the energy policies in regard to the position of nuclear power. However, in the next several years possible changes can be observed through statistical data, because the planning, the construction and possible phase out of nuclear power requires several years. Finally, the thesis reveals that the implementation of a soft energy path requires profound changes in the consumer behaviour. As several studies indicate, a soft energy path is technological and economically feasible for the Federal Republic of Germany and Canada, its implementation remains to be a political decision.

Optimization of the valence energy variance of the CuH molecule

We developed the concept of split-'t to deal with the large molecules (in terms of the number of electrons and nuclear charge Z). This naturally leads to partitioning the local energy into components due to each electron shell. The minimization of the variation of the valence shell local energy is used to optimize a simple two parameter CuH wave function. Molecular properties (spectroscopic constants and the dipole moment) are calculated for the optimized and nearly optimized wave functions using the Variational Quantum Monte Carlo method. Our best results are comparable to those from the single and double configuration interaction (SDCI) method.

Polytypism and Silicon carbide : a solid state nuclear magnetic resonance study

A survey of predominantly industrial silicon carbide has been carried out using Magic Angle Spinning nuclear magnetic resonance (MAS nmr); a solid state technique. Three silicon carbide polytypes were studied; 3C, 6H, and 15R. The 13C and 29 Si MAS nmr spectra of the bulk SiC sample was identified on the basis of silicon (carbon) site type in the d iff ere n t pol Y t Y pes • Out to 5.00 A fro mac en t r a lsi 1 i con (0 r carbon) atom four types of sites were characterized using symmetry based calculations. This method of polytype analysis was also considered, in the prelminary stages, for applications with other polytypic material; CdBr 2 , CdI 2 , and PbI 2 " In an attempt to understand the minor components of silicon carbide, such as its surface, some samples were hydrofluoric acid washed and heated to extreme temperatures. Basically, an HF removable species which absorbs at -110 ppm (Si0 2 ) in the 29 Si MAS nmr spectrum is found in silicon carbide after heating. Other unidentified peaks observed at short recycle delays in some 29 Si MAS nmr spectra are considered to be impurities that may be within the lattice. These components comprise less than 5% of the observable silicon. A Tl study was carried out for 29 Si nuclei in a 3C ii polytype sample, using the Driven Equilibrium Single-Pulse Observation of T1 (DESPOT) technique. It appears as though there are a number of nuclei that have the same chemical shift but different T1 relaxation times. The T1 values range from 30 seconds to 11 minutes. Caution has to be kept when interpreting these results because this is the first time that DESPOT has been used for solid samples and it is not likely in full working order. MAS nmr indicates that the 13C and 29 Si ~sotropic chemical shifts of silicon carbide appear to have a reciprocal type of relationship_ Single crystal nmr analysis of a 6H sample is accordance with this finding when only the resultant isotropic shift is considered. However, single crystal nmr also shows that the actual response of the silicon and carbon nuclear environment to the applied magnetic field at various angles is not at all reciprocal. Such results show that much more single crystal nmr work is required to determine the actual behavior of the local magnetic environment of the SiC nuclei.

An anharmonic contribution to the Helmholtz free energy O(lambda 6)

The anharmonic contributions of order A6 to the Helmholtz free energy for a crystal in which every atom is on a site of inversion symmetry, have been evaluated The cor~esponding diagrams in the various orders of the perturbation theory have been presented The validity of the expressions given is for high temperatures. Numerical calculations for the diagrams which contribute to the free energy have been worked out for a nearest-n~ighbour central-force model of a facecentered cubic lattice in the high-temperature limit and in the leading term and the Ludwig approximations. The accuracy of the Ludwig approximation in evaluating the Brillouin-zone sums has been investigated. Expansion for all diagrams in the high-temperature limit has been carried out The contribution to the specific heat involves a linear as well as cubic term~ We have applied Lennard-Jones, Morse and Exponential 6 types of potentials. A comparison between the contribution to the free energy of order A6 to that of order A4 has been made.