Application of [Lambda] to the fourth perturbation theory in calculating the equation of state of rare gas solids and fcc metals

We have calculated the thermodynamic properties of monatomic fcc crystals from the high temperature limit of the Helmholtz free energy. This equation of state included the static and vibrational energy components. The latter contribution was calculated to order A4 of perturbation theory, for a range of crystal volumes, in which a nearest neighbour central force model was used. We have calculated the lattice constant, the coefficient of volume expansion, the specific heat at constant volume and at constant pressure, the adiabatic and the isothermal bulk modulus, and the Gruneisen parameter, for two of the rare gas solids, Xe and Kr, and for the fcc metals Cu, Ag, Au, Al, and Pb. The LennardJones and the Morse potential were each used to represent the atomic interactions for the rare gas solids, and only the Morse potential was used for the fcc metals. The thermodynamic properties obtained from the A4 equation of state with the Lennard-Jones potential, seem to be in reasonable agreement with experiment for temperatures up to about threequarters of the melting temperature. However, for the higher temperatures, the results are less than satisfactory. For Xe and Kr, the thermodynamic properties calculated from the A2 equation of state with the Morse potential, are qualitatively similar to the A 2 results obtained with the Lennard-Jones potential, however, the properties obtained from the A4 equation of state are in good agreement with experiment, since the contribution from the A4 terms seem to be small. The lattice contribution to the thermal properties of the fcc metals was calculated from the A4 equation of state, and these results produced a slight improvement over the properties calculated from the A2 equation of state. In order to compare the calculated specific heats and bulk moduli results with experiment~ the electronic contribution to thermal properties was taken into account~ by using the free electron model. We found that the results varied significantly with the value chosen for the number of free electrons per atom.

On the equation of state and atomic mean square displacement of crystals

We have presented a Green's function method for the calculation of the atomic mean square displacement (MSD) for an anharmonic Hamil toni an . This method effectively sums a whole class of anharmonic contributions to MSD in the perturbation expansion in the high temperature limit. Using this formalism we have calculated the MSD for a nearest neighbour fcc Lennard Jones solid. The results show an improvement over the lowest order perturbation theory results, the difference with Monte Carlo calculations at temperatures close to melting is reduced from 11% to 3%. We also calculated the MSD for the Alkali metals Nat K/ Cs where a sixth neighbour interaction potential derived from the pseudopotential theory was employed in the calculations. The MSD by this method increases by 2.5% to 3.5% over the respective perturbation theory results. The MSD was calculated for Aluminum where different pseudopotential functions and a phenomenological Morse potential were used. The results show that the pseudopotentials provide better agreement with experimental data than the Morse potential. An excellent agreement with experiment over the whole temperature range is achieved with the Harrison modified point-ion pseudopotential with Hubbard-Sham screening function. We have calculated the thermodynamic properties of solid Kr by minimizing the total energy consisting of static and vibrational components, employing different schemes: The quasiharmonic theory (QH), ).2 and).4 perturbation theory, all terms up to 0 ().4) of the improved self consistent phonon theory (ISC), the ring diagrams up to o ().4) (RING), the iteration scheme (ITER) derived from the Greens's function method and a scheme consisting of ITER plus the remaining contributions of 0 ().4) which are not included in ITER which we call E(FULL). We have calculated the lattice constant, the volume expansion, the isothermal and adiabatic bulk modulus, the specific heat at constant volume and at constant pressure, and the Gruneisen parameter from two different potential functions: Lennard-Jones and Aziz. The Aziz potential gives generally a better agreement with experimental data than the LJ potential for the QH, ).2, ).4 and E(FULL) schemes. When only a partial sum of the).4 diagrams is used in the calculations (e.g. RING and ISC) the LJ results are in better agreement with experiment. The iteration scheme brings a definitive improvement over the).2 PT for both potentials.

Explorations and comparisons of actual, ideal, and ought forgiveness definitions : a Q-methodological study /

Numerous definitions of forgiveness have been proposed in the literature (e.g.. North, 1987; Enright, Freedman & Rique, 1998), most ofwhich are based on religious or philosophical notions, rather than on empirical evidence. Definitions employed by researchers have typically set very high standards for forgiveness. This research was designed to investigate the possibility that these definitions describe an ideal of forgiveness and may not reflect laypersons' beliefe and experiences. Using Higgins' Self-Discrepancy Theory as a fiamework, three types of forgiveness beliefs were investigated: actual, ideal, and ought Q-methodology (which permits intensive study ofphenomena in small samples) was employed to examine and compare participants' beliefs about forgiveness across these domains. Thirty participants (20 women), 25 to 78 years of age, were recruited firom the community. They were asked to sort a set of66 statements about forgiveness according to their level of agreement with each statement This process was repeated three times, with the goal of modelling participants' actual experiences, their ideals, and how they believed forgiveness ought to be. Three perspectives on forgiveness emerged across the domains: forgiveness as motivated by religious beliefs, reconciliation-focussed forgiveness, and conflicted forgiveness. These perspectives indicated that, for many participants, the definitions presented in the literature may coincide with their beliefs about how forgiveness would ideally be and should be, as well as with their experiences of forgiveness; however, a large number of participants' experiences of, and beliefs about, forgiveness do not conform to the standards set out in the literature, and to exclude these participants' experiences and beliefs would mean overlooking what forgiveness means to a large portion of people. Results of this study indicate that researchers need to keep an open mind about what forgiveness may mean to their participants.

Adolescent females' self-concept and physical education : a Q-sort analysis /

This research illuminates the relationship between female adolescents' self-concept and their experience of physical education. This was accomplished through three stages of interviews and a Qsort. The topics through which the research was categorized included peer support, teachers as significant others, meaningful connections to the body, and curriculum content. During stage one female physical education specialists, curriculum coordinators, and adolescents were interviewed to develop Q-items for the Q-sort. The second stage Involved two groups of females between the ages of 12 and 14 years who participated in the Q-sort. The final stage involved an insight group that consisted of four Q-sort participants who interpreted the highest ranking Q-items. Critical to this research was giving these adolescents the opportunity to voice what was important to them. The results of the research included descriptions of the elements in physical education that were deemed most important by female adolescent students. The topics of "peer support" and "meaningful connections to the body" were ranked the highest. By interpreting the rich insights of the discussion group, it was found that peers were most influential to these young girls. Perceiving and bestowing respect were imperative in this stage of their lives.

Amputation and heat induced protein synthesis in the regenerating forelimb of Notophthalmus viridescens

This thesis compares the responses of regenerating forelimb tissues of the newt Notophthalmu..f vlridescens to the stresses of hyperthermia and ID.echanical injury of amputation. In particular, both quantitative and qualitative changes in the synthesis of soluble proteins in stump tissues, including those of the heat shock protein family (HSP70-1ike) were examined. Results from SDS-PAGEfluorography indicate that the trauma of amputation mimics the heat shock response both quantitatively and temporally in its transient repression of the synthesis of most normal cellular proteins, and qualitatively. in the locaJized expression of two unique proteins (hsp30 and hsp70). Fluorography of proteins separated by twodimensional gets revealed that thelCl4:alizedt amputation induced 70kDa protein (amp70) was distinct from the more basic newt hsp/hsc70 isoforms. Although limb amputation resulted in an increase in the synthesis of HSP70 mRNA analogous to that induced by heat 3.b.OCKf amp70 did not cross-react with murine monoclonal antibodies directed against both the inducible and cognate HSP70 proteins of the human. Thus, the possible relationship of amp70 to other members of the HSP70-1ike protein family remains unclear. Western analyses indicated that the levels of the constitutive form of HSP70 (hsc70) were found to be regulated in a stage-dependent manner in the distal stump tissues of the regen,erating forelimb of the newt. The highest levels were found in the mid-late bud stage, a period during which rapidly dividing blastema cells begin to redifferentiate in a proximodistal direction. Immediately after amputation) hsc70 synthesis and accumulation was depressed below steady-state levels measured in the unamputated limb~ The results are discussed in light of a possible role for HSPs and amputatio~ induced proteins in the epimorphic regeneration of the amphibian limb.

An analysis of decoupling procedures in generating thermal Green's functions of O([lambda]â ´) by the Zubarev equation of motion method

The Zubarev equation of motion method has been applied to an anharmonic crystal of O( ,,4). All possible decoupling schemes have been interpreted in order to determine finite temperature expressions for the one phonon Green's function (and self energy) to 0()\4) for a crystal in which every atom is on a site of inversion symmetry. In order to provide a check of these results, the Helmholtz free energy expressions derived from the self energy expressions, have been shown to agree in the high temperature limit with the results obtained from the diagrammatic method. Expressions for the correlation functions that are related to the mean square displacement have been derived to 0(1\4) in the high temperature limit.

Completing the picture: the effects of video game practice on verbal and performance I.Q. scores in high functioning children

The strength and nature of the video game practice effect on tests of visual and perceptual skills were examined using high functioning Grades Four and Five students who had been tested with the WISC-R .for the purpose of gifted identification and placement. The control group, who did not own and .play video games on a sustained basis, and the experimental group, who did own a video game system and had some mastery of video games, including the -Nintendo game, "Tetris", were each composed of 18 juniorg:r;-ade students and were chosen from pre-existing conditions. The experimental group corresponded to the control group in terms of age, sex, and community. Data on the Verbal and Performance I.Q. Scores were· collected for both groups and the author was interested in the difference between the Verbal and Performance Scores within each group, anticipating a P > V outcome for the experimental group. The results showed a significant P > V difference in the experimental, video game playing group, as expected, but no significant difference between the Performance $cores of the control and experimental groups. The results, thus, indicated lower Verbal I.Q. Scores in the experimental group relat'ive to 'the control group.' The study conclu~ed that information about a sUbject's video game experience and "learhing style pref~rence is important for a clear interpretation of the Verbal and Performance I.Q. Scores of the WISC-R. Although the time spent on video game play may, 'indeed, increase P~rformance Scores relative to Verbal Scores for an individual, the possibilities exist that the time borrowed and spent away from language based activities may retard verbal growth and/or that the cognitive style associated with some Performance I.Q.subtests may have a negative effect on the approach to the tasks on the Verbal I.Q. Scale. The study also discussed the possibility that exposure to ,the video game experience, in pre-puberty, can provide spatial instruction which will result in improved spatial skills. strong spatial skills have been linked to improved performance and preference in mathematics, science, and engineering and it was suggested that appropriate video game play might be a way to involve girls more in the fields of mathematics and science.

Specific heat of UPdâ Siâ

The specific heat of single-crystal U Pd2 Si2 has been studied using both the step heating and continious heating methods for the temperature range 2 to 250 K. Successive phase transitions at Tl = 136I< and T2 = 108I< are reported, which are consistent with current publications. The transition at 40K, which was previously reported, has not been detected. Recent published elastic neutron scattering data, magnetic susceptibility and resistivity results suggest that U Pd2 Si2 may be a heavy fermion compound, however, the electronic specific heat coefficient I (= 18.97 ;~), obtained from the specific heat Cv measurements, is smaller than that of the conventional heavy fermion system. The Debye temperature of U Pd2Si2 is found to be 116.55K. The possibility is discussed that the maximum in CIT in the low-temperature range 2 to 4K corresponds to Schottky anomaly induced by localized magnetic impurities .

Study of heat capacity measurement methods for small samples

Methods of measuring specific heats of small samples were studied. Three automated methods were explored, two of which have shown promising results. The adiabatic continuous heating method, has provided smooth well behaved data but further work is presently underway to improve on the results obtained so far . The decay method has been success fully implemented demonstrating reasonable agreement with accepted data for a copper test sample.

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.

A five factor model of grief : a q-methodological study /

Q-methodology permitted 41 people to communicate their perspective of grief. In an attempt to clarify the research to date and to allow those who have experienced this human journey to direct the scientists, 80 statements were chosen to present to the participants based on the research from academic and counselling sources. Five different perspectives emerged from the Q-sorts and factor analysis. Each perspective was valuable for the understanding of different groups of mourners. They were interpreted using questionnaire data and interview information. They are as follows: Factor 1- Growth Optimism; Factor 2 - Schema Destruction and Negative Affect; Factor 3- Identification with the Deceased Person; Factor 4- Intact World view with High Clarity and High Social Support; Factor 5- Schema Destruction with High Preoccupation and Attention to Emotion. Some people grow in the face of grief, others hold on to essentially the same schemas and others are devastated by their loss. The different perspectives reported herein supply clues to the sources of these differing outcomes. From examination of Factor 1, it appears that a healthy living relationship helps substantially in the event of loss. An orientation toward emotions that encourages clarity, exemplified by Factor 4, without hyper-vigilance to emotion may be helpful as well. Strategies for maintaining schematic representations of the world with little alteration include: identification with the values of the deceased person, as in Factor 3 and reliance on social support and/or God as demonstrated by Factor 4. When the relationship had painful periods, social support may be accessed to benefit some mourners. When the person's frame of reference or higher order schemas are assaulted by the events of loss, the people most at risk for traumatic grief seem to be those with difficult relationships as indicated by Factor 5 individuals. When low social support, high attention to emotion with low clarity and little belief that feelings can be altered for the better are also attributes of the mourner devastating grief can result. In the end, there are groups of people who are forced to endure the entire process of schema destruction and devastation. Some appear to recover in part and others appear to stay in a form of purgatory for many years. The results of this study suggest that, those who experience devastating grief may be in the minority. In the future interventions could be more specifically addressed if these perspectives are replicated in a larger, more detailed study.

Reality status evaluations in mediated experiences /

This paper explores the cognitive functions of the Reality Status Evaluation (RSE) system in our experiences of narrative mediated messages (NMM) (fictional, narrative, audio-visual one-way input and moving picture messages), such as fictional TV programs and films. We regard reality in mediated experiences as a special mental and emotional construction and a multi-dimensional concept. We argue that viewers' reality sense in NMM is influenced by many factors with "real - on" as the default value. Some of these factors function as primary mental processes, including the content realism factors of those messages such as Factuality (F), Social Realism (SR), Life Relevance (LR), and Perceptual Realism - involvement (PR), which would have direct impacts on reality evaluations. Other factors, such as Narrative Meaning (NM), Emotional Responses, and personality trait Absorption (AB), will influence the reality evaluations directly or through the mediations of these main dimensions. I designed a questionnaire to study this theoretical construction. I developed items to form scales and sub-scales measuring viewers' subjective experiences of reality evaluations and these factors. Pertinent statistical techniques, such as internal consistency and factorial analysis, were employed to make revisions and improve the quality of the questionnaire. In the formal experiment, after viewing two short films, which were selected as high or low narrative structure messages from previous experiments, participants were required to answer the questionnaire, Absorption questionnaire, and SAM (Self-Assessment Manikin, measuring immediate emotional responses). Results were analyzed using the EQS, structural equation modeling (SEM), and discussed in terms oflatent relations among these subjective factors in mediated experience. The present results supported most of my theoretical hypotheses. In NMM, three main jactors, or dimensions, could be extracted in viewers' subjective reality evaluations: Social Realism (combining with Factuality), Life Relevance and Perceptual Realism. I designed two ways to assess viewers' understanding of na"ative meanings in mediated messages, questionnaire (NM-Q) and rating (NM-R) measurement, and its significant influences on reality evaluations was supported in the final EQS models. Particularly in high story stnlcture messages, the effect of Narrative Meaning (NM) can rarely be explained by only these dimensions of reality evaluations. Also, Empathy seems to playa more important role in RSE of low story structure messages. Also, I focused on two other factors that were pertinent to RSE in NMM, the personality trait Absorption, and Emotional Responses (including two dimensions: Valence and Intensity). Final model results partly supported my theoretical hypotheses about the relationships among Absorption (AB), Social Realism (SR) and Life Relevance (LR); and the immediate impact of Emotional Responses on Perceptual Realism cPR).

Distribution of excitation energy in photosynthesis: a study of heat loss, photo chemical activity and fluorescence emission in intact calls of cyanobacterium.

Photosynthetic state transitions were investigated in the cyanobacterium Synechococcus sp. PCC 6301 by studying fluorescence emission, heat loss, and PS I activity in intact cells brought to state 1 and state 2. 77K fluorescence emission spectra were modelled with a sum of 6 components corresponding to PBS, PS II, and PS I emissions. The modelled data showed a large decrease in PS II fluorescence accompanied with a small increase in the PS I fluorescence upon transition to state 2 for excitation wavelengths absorbed by both PBS and ChI ll.. The fluorescence changes seen with ChI .a. excitations do not support the predictions of the mobile PBS model of state transition in PBS-containing organisms. Measurements of heat loss from intact cells in the two states were similar for both ChI it. and PBS excitations over three orders of magnitude of laser flash intensity. This suggests that the PBS does not become decoupled from PS II in state 2 as proposed by the PBS detachment model of state transition in PBS-containing organisms. PS I activity measurements done on intact cells showed no difference in the two states, in contrast with the predictions of all of the existing models of state transitions. Based on these results a model for state transition In PBScontaining organisms is proposed, with a PS II photoprotectory function.

An examination of transcriptional and translational regulation of the 70kDa heat shock proteins following amputation of the tail and forelimb in the newt Notophthalmus viridescens

Several stresses to tissues including hyperthermia, ischemia, mechanical trauma and heavy metals have been demonstrated to affect the regulation of a subset of the family of heat shock proteins of70kOa (hsp70). In several organisms following some of these traumas, the levels of hsp70 mRNA and proteins are dramatically upregulated. However, the effects of the stress on limb and tail amputation in the newt Notophthalmus viridescens, involving mechanical tissue damage, have not adequately been examined. In the present study, three techniques were utilized to quantitate the levels of hsp70 mRNA and protein in the tissues of the forelimbs and tails of newts during the early post-traumatic events following surgical resection of these:: appendages. These included quantitative Western blotting of proteins separated by both one and twodimensional SDS-polyacrylamide gel electrophoresis and quantitative Northern blot analysis of total RNA. In tissues of both the limb and tail one hour after amputation, there were no significant differences in the levels of hsp70 protein measured by one-dimensional SOSPAGE followed by Western blotting, when compared to the levels measured in the unamputated limb. A 30 minute heat shock at 35°C failed to elicit an increase in the levels of hsp70 protein in these tissues. Further analysis using the more sensitive 20 PAGE separation of stump tissue proteins revealed that at least some of the five hsp70 isoforms of the newt may be differentially regulated in limbs and tails in response to trauma. It appears also that amputation of the tail and limb tissues leads to slight 3 elevation in the levels of HSP70 mRNA when compared to those of their respective unstressed tissues.

Impact of considering the effects of latent heat on caldera-hosted hydrothermal systems

To investigate the thennal effects of latent heat in hydrothennal settings, an extension was made to the existing finite-element numerical modelling software, Aquarius. The latent heat algorithm was validated using a series of column models, which analysed the effects of penneability (flow rate), thennal gradient, and position along the two-phase curve (pressure). Increasing the flow rate and pressure increases displacement of the liquid-steam boundary from an initial position detennined without accounting for latent heat while increasing the thennal gradient decreases that displacement. Application to a regional scale model of a caldera-hosted hydrothennal system based on a representative suite of calderas (e.g., Yellowstone, Creede, Valles Grande) led to oscillations in the model solution. Oscillations can be reduced or eliminated by mesh refinement, which requires greater computation effort. Results indicate that latent heat should be accounted for to accurately model phase change conditions in hydrothennal settings.