Residual Protons

Residual protons are hydrogen nuclei remaining in a nominally deuterated solvent, providing detectable signals in nuclear magnetic resonance (NMR) spectroscopy. Because deuterated solvents are not completely free of protium, these hydrogen atoms produce characteristic resonance peaks whose chemical shifts depend on the solvent and experimental conditions; researchers can use them as internal references for assigning and calibrating spectra. Residual proton signals help identify solvent contributions, verify sample composition, and measure the chemical shifts of compounds in solution. Recognizing these peaks is essential for interpreting proton NMR data accurately and distinguishing analyte signals from background solvent signals.

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JoVE Science Education - Environmental Sciences

Proton Exchange Membrane Fuel Cells

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2023

Source: Laboratories of Margaret Workman and Kimberly Frye - Depaul University The United States consumes a large amount of energy – the current rate is around 97.5 quadrillion BTUs annually. The vast majority (90%) of this energy comes from non-renewable fuel sources. This energy is used for electricity (39%), transportation (28%), industry (22%), and residential/commercial use (11%). As the world has a limited supply of these non-renewable sources, the United States (among others) is...

Residual Stresses

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2024

Residual stresses reside in a structure even after removing the original stress inducer. This phenomenon often arises from varied plastic deformations across different parts of a structure. Consider a rod stretched beyond its yield point. It will not regain its original length due to permanent deformation. Even after load removal, the rod does not entirely lose stress because of uneven plastic deformations, resulting in residual stresses. The computation of these stresses in structures is...

Residual Plots

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2023

A residual plot is a statistical representation of data used to analyze correlation and regression results. It helps verify the requirements for drawing specific conclusions about correlation and regression. To obtain the residual plot, first, the residual for each data value is calculated, which is simply the vertical distance between the observed and the predicted value obtained from the regression equation. When the residual values are plotted against the variable x, it is called a residual...

Residual Stresses in Bending

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2024

In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...

Residuals and Least-Squares Property

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2023

The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y. The process of fitting the best-fit...

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