Thermodynamics of Forming Water Clusters at Various Temperatures and Pressures by Gaussian-2, Gaussian-3, Complete Basis Set-QB3, and Complete Basis Set-APNO Model Chemistries; Implications for Atmospheric Chemistry

The Gaussian-2, Gaussian-3, complete basis set- (CBS-) QB3, and CBS-APNO methods have been used to calculate ΔH° and ΔG° values for neutral clusters of water, (H2O)n, where n = 2−6. The structures are similar to those determined from experiment and from previous high-level calculations. The thermodynamic calculations by the G2, G3, and CBS-APNO methods compare well against the estimated MP2(CBS) limit. The cyclic pentamer and hexamer structures release the most heat per hydrogen bond formed of any of the clusters. While the cage and prism forms of the hexamer are the lowest energy structures at very low temperatures, as temperature is increased the cyclic structure is favored. The free energies of cluster formation at different temperatures reveal interesting insights, the most striking being that the cyclic trimer, cyclic tetramer, and cyclic pentamer, like the dimer, should be detectable in the lower troposphere. We predict water dimer concentrations of 9 × 1014 molecules/cm3, water trimer concentrations of 2.6 × 1012 molecules/cm3, tetramer concentrations of approximately 5.8 × 1011 molecules/cm3, and pentamer concentrations of approximately 3.5 × 1010 molecules/cm3 in saturated air at 298 K. These results have important implications for understanding the gas-phase chemistry of the lower troposphere.

Computational Study of the Hydration of Sulfuric Acid Dimers: Implications for Acid Dissociation and Aerosol Formation

We have investigated the thermodynamics of sulfuric acid dimer hydration using ab initio quantum mechanical methods. For (H2SO4)2(H2O)n where n = 0−6, we employed high-level ab initio calculations to locate the most stable minima for each cluster size. The results presented herein yield a detailed understanding of the first deprotonation of sulfuric acid as a function of temperature for a system consisting of two sulfuric acid molecules and up to six waters. At 0 K, a cluster of two sulfuric acid molecules and one water remains undissociated. Addition of a second water begins the deprotonation of the first sulfuric acid leading to the di-ionic species (the bisulfate anion HSO4−, the hydronium cation H3O+, an undissociated sulfuric acid molecule, and a water). Upon the addition of a third water molecule, the second sulfuric acid molecule begins to dissociate. For the (H2SO4)2(H2O)3 cluster, the di-ionic cluster is a few kcal mol−1 more stable than the neutral cluster, which is just slightly more stable than the tetra-ionic cluster (two bisulfate anions, two hydronium cations, and one water). With four water molecules, the tetra-ionic cluster, (HSO4−)2(H3O+)2(H2O)2, becomes as favorable as the di-ionic cluster H2SO4(HSO4−)(H3O+)(H2O)3 at 0 K. Increasing the temperature favors the undissociated clusters, and at room temperature we predict that the di-ionic species is slightly more favorable than the neutral cluster once three waters have been added to the cluster. The tetra-ionic species competes with the di-ionic species once five waters have been added to the cluster. The thermodynamics of stepwise hydration of sulfuric acid dimer is similar to that of the monomer; it is favorable up to n = 4−5 at 298 K. A much more thermodynamically favorable pathway forming sulfuric acid dimer hydrates is through the combination of sulfuric acid monomer hydrates, but the low concentration of sulfuric acid relative to water vapor at ambient conditions limits that process.

Model Predictive Control for Vehicle Stabilization at the Limits of Handling

Recent developments in vehicle steering systems offer new opportunities to measure the steering torque and reliably estimate the vehicle sideslip and the tire-road friction coefficient. This paper presents an approach to vehicle stabilization that leverages these estimates to define state boundaries that exclude unstable vehicle dynamics and utilizes a model predictive envelope controller to bound the vehicle motion within this stable region of the state space. This approach provides a large operating region accessible by the driver and smooth interventions at the stability boundaries. Experimental results obtained with a steer-by-wire vehicle and a proof of envelope invariance demonstrate the efficacy of the envelope controller in controlling the vehicle at the limits of handling.

Microwave-Assisted Bond Forming Reactions

ABSTRACT FOR PART I: PHOSPHA-MICHAEL ADDITIONS TO ACTIVATED INTERNAL ALKENES: STERIC AND ELECTRONIC EFFECTS A method for the phospha-Michael addition of bis(4-methyl)phenyl phosphine oxide to activated internal alkenes has been developed. Michael acceptors including cinnamates, crotonates, chalcones, and internal alkenes containing multiple activating groups were all successfully utilized in this reaction. The reaction was fairly tolerant of electron-donating and electron-withdrawing substituents on the Michael acceptor, and moderate to excellent yields (49-96%) of the adducts were isolated. When steric bulk was increased by a second substituent on the -position of the Michael-acceptor the reaction was suppressed. This was usually overcome by adding a second activating substituent to the -position. ABSTRACT FOR PART II: MICROWAVE-ASSISTED ARYLGOLD BOND FORMATION A microwave-assisted method was developed for the formation of arylgold complexes containing (2-Biphenyl)di-tert-butylphosphine (JohnPhos) as the supporting phosphine ligand. Arylboronic acids with increasingly bulky aromatic groups were screened to determine the steric limitations of the reaction. Arylgold complexes (JohnPhos)Au(p-methoxyphenyl), (JohnPhos)Au(2,4,6-trimethylphenyl), and (JohnPhos)Au(4-bromo-10-anthracene) were all synthesized by microwave irradiation at 70ºC in the presence of Cs2CO3 in either THF or iPrOH. Reactions performed with arylboronic acids containing unhindered ortho positions were carried out in THF. Arylboronic acids with substituents on the ortho position required iPrOH as the reaction solvent. Arylboronic acids with extreme steric hindrance on the ortho position of the aryl substituent, 2,4,6-triisopropylpphenylboronic acid, were unreactive. It was determined that increasing the irradiation temperature increased the formation of side products, therefore to promote conversion to the arylgold complex the duration of the reaction time was increased while maintaining a temperature of 70ºC. Arylgold complexes (JohnPhos)Au(p-methoxyphenyl), (JohnPhos)Au(2,4,6-trimethylphenyl), and (JohnPhos)Au(4-bromo-10-anthracene) were synthesized with moderate yields (40-69%).

Must We Forgive?: Exploring the Limits and Possibilities of Forgiveness and Resentment

Conflict has marked civilization from Biblical times to the present day. Each of us, with our different and competing interests, and our desires to pursue those interests, have over time wronged another person. Not surprisingly then, forgiveness is a concern of individuals and groups¿communities, countries, religious groups, races¿yet it is a complex idea that philosophers, theologians, political scientists, and psychologists have grappled with. Some have argued that forgiveness is a therapeutic means for overcoming guilt, pain, and anger. Forgiveness is often portrayed as a coping mechanism¿how often we hear the phrase, ¿forgive and forget,¿ as an arrangement to help two parties surmount the complications of disagreement. But forgiveness is not simply a modus vivendi; the ability to forgive and conversely to ask for forgiveness, is counted as an admirable trait and virtue. This essay will explore the nature of forgiveness, which in Christian dogma is often posited as an unqualified virtue. The secular world has appropriated the Christian notion of forgiveness as such a virtue¿but are there instances wherein offering forgiveness is morally inappropriate or dangerous? I will consider the situations in which forgiveness, understood in this essay as the overcoming of resentment, may not be a virtue¿when perhaps maintaining resentment is as virtuous, if not more virtuous, than forgiving. I will explain the various ethical frameworks involved in understanding forgiveness as a virtue, and the relationship between them. I will argue that within Divine Command Theory forgiveness is a virtue¿and thus morally right¿because God commands it. This ethical system has established forgiveness as unconditional, an idea which has been adopted into popular culture. With virtue ethics in mind, which holds virtues to be those traits which benefit the person who possesses them, contributing to the good life, I will argue unqualified forgiveness is not always a virtue, as it will not always benefit the victim. Because there is no way to avoid wrongdoing, humans are confronted with the question of forgiveness with every indiscretion. Its limits, its possibilities, its relationship to one¿s character¿forgiveness is a concern of all people at some time if for no other reason than the plain fact that the past cannot be undone. I will be evaluating the idea of forgiveness as a virtue, in contrast to its counterpart, resentment. How can forgiveness be a response to evil, a way to renounce resentment, and a means of creating a positive self-narrative? And what happens when a sense of moral responsibility is impossible to reconcile with the Christian (and now, secularized imperative of) forgiveness? Is it ever not virtuous to forgive? In an attempt to answer that question I will argue that there are indeed times when forgiveness is not a virtue, specifically: when forgiveness compromises one¿s own self-respect; when it is not compatible with respect for the moral community; and when the offender is unapologetic. The kind of offense I have in mind is a dehumanizing one, one that intends to diminish another person¿s worth or humanity. These are moral injuries, to which I will argue resentment is a better response than forgiveness when the three qualifications cannot be met.