The spin of a top can be regarded as a fast variable, coupled to the motion of the axis which is slow. In pure precession, the rotation of the axis round a cone (without nutation), can be considered as the result of a reaction from the fast spin. The resulting restriction of the total state space of the top is an illustrative example, at…

The quantum semester of a typical two-semester physical chemistry course is divided into two parts. The initial focus is on quantum mechanics and simple model systems for which the Schrodinger equation can be solved in closed form, but it then shifts in the second half to atoms and molecules, for which no closed solutions exist. The underlying…

A mnemonic device, the energy pie, is presented that provides relationships between thermodynamic potentials ("U," "H," "G," and "A") and other sets of variables that carry energy units, "TS" and "PV." Methods are also presented in which the differential expressions for the potentials and the corresponding Maxwell relations follow from the energy…

Coulometric titrations involve the quantification of analyte by measurements of current and time. In most coulometric titrations, the anode and cathode are placed in isolated cells that are connected by a salt bridge. By contrast, the experiments described here involve coulometric titrations (of acidic protons in solution) using a silver anode and…

The polymerase chain reaction (PCR) is a common experiment in upper-level undergraduate biochemistry, molecular biology, and forensic laboratory courses as reagents and thermocyclers have become more affordable for institutions. Typically, instructors design PCR primers to amplify the region of interest and the students prepare their samples for…

In this extension to a classic physical chemistry experiment, students record the proton nuclear magnetic resonance spectra of the [beta]-diketones 2,4-pentanedione, 3-methyl-2,4-pentanedione, and 3-chloro-2,4-pentanedione to investigate the effect of substituents on keto-enol tautomerization equilibria. From the integrated intensities of keto and…

Molecular biologists commonly use bioinformatics to map and analyze DNA and protein sequences and to align different DNA and protein sequences for comparison. Additionally, biologists can create and view 3D models of protein structures to further understand intramolecular interactions. The primary goal of this 10-week laboratory was to introduce…

The unreacted-core shrinking (UCS) model is employed to characterize fluid-particle reactions that are important in industry and research. An approach to understand the UCS model by numerical methods is presented, which helps the visualization of the influence of the variables that control the overall heterogeneous process. Use of this approach in…

A guided-inquiry lab was developed to analyze the Balmer series of the hydrogen atomic spectrum. The emission spectrum of hydrogen was recorded with a homemade benchtop spectrophotometer. By drawing graphs and a trial-and-error approach, students discover the linear relationship presented in the Rydberg formula and connect it with the Bohr model…

The Grignard reaction and the addition of protecting groups are standard reactions in an organic chemistry course. Organic students learn about the "quench" step of the Grignard reaction using acid and water and the acid-catalyzed hydrolysis to remove the protecting group, yet in the lecture students find these two reactions to be confusing in…

The surfaces of mammalian cells are coated with complex carbohydrates, many terminated with a negatively charged "N"-acetylneuraminic acid residue. This motif is specifically targeted by pathogens, including influenza viruses and many pathogenic bacteria, to gain entry into the cell. A necessary step in the influenza virus life cycle is the…

Normal-phase chromatography is an essential technique for monitoring chemical reactions, identifying the presence of specific components, as well as the purification of organic compounds. An experiment to facilitate the instruction and understanding of the concepts behind normal-phase chromatography at the introductory and intermediate…

Over the past eight years we have undertaken iterative cycles of course reform in two introductory biology courses: Biology 111 and Biology 211. Our revisions of these formerly "traditional" lecture courses have included in-class case studies with and without peer facilitators and peer-facilitated small-group workshops. Based on analyses…

Inverted teaching, not to be confused with hybrid learning, is a relatively new pedagogy in which lecture is shifted outside of class and traditional homework is done in class. Though some inverted teaching (IT) designs have been published in different fields, peer-reviewed reports in university chemistry remain quite rare. To that end, herein is…

This article describes the development of the Redox Concept Inventory (ROXCI) as a measure of students' understandings and confidence of both the symbolic and particulate domains of oxidation-reduction (redox) reactions. The ROXCI was created using a mixed-methods design in which the items were developed based upon themes that emerged from…