Spin Density Profile

A spin density profile describes how unpaired electron spin is distributed across the atoms and regions of a molecule, providing insight into its electronic structure and magnetic behavior. It is determined by measuring or calculating the difference between the densities of alpha- and beta-spin electrons, often using electron paramagnetic resonance spectroscopy or quantum chemical methods. In chemistry, spin density profiles help identify radical centers, evaluate electron delocalization, and explain how molecular structure influences reactivity. They are particularly valuable for studying paramagnetic compounds, transition-metal complexes, catalytic intermediates, and materials whose properties depend on localized or distributed spins.

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JoVE Core - Analytical Chemistry

Spin–Spin Coupling Constant: Overview

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2024

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1. Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...

NMR Spectroscopy: Spin–Spin Coupling

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2024

The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved in...

Spin–Spin Coupling: One-Bond Coupling

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2024

Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...

Determining the Density of a Solid and Liquid

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2023

Source: Laboratory of Dr. Michael Evans — Georgia Institute of Technology The ratio of the mass of a substance to its volume is known as the mass density or, simply, the density of the substance. Density is expressed in units of mass per volume, such as g/mL or kg/m3. Because the density of a substance does not depend on the amount of substance present, density is an “intensive property”. To measure the density of a sample of material, both the mass and volume of the sample must be determined.

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

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2024

Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others. The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...

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