Atomic Nuclei Distance

Atomic nuclei distance is the separation between the nuclei of two atoms, a structural quantity that helps describe molecular geometry, chemical bonds, and the arrangement of atoms in matter. In a molecule, this distance reflects the balance between attractive electron–nucleus interactions and repulsive nucleus–nucleus and electron–electron interactions; an equilibrium bond length occurs near the minimum of the system’s potential energy. Chemists determine or predict atomic nuclei distances using spectroscopy, diffraction, and quantum-chemical calculations. These measurements support identification of molecular structures, comparison of bonding patterns, and interpretation of how geometry influences chemical reactivity and properties.

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JoVE Core - Analytical Chemistry

Atomic Nuclei: Nuclear Spin

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2024

All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors. Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...

Atomic Nuclei: Magnetic Resonance

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2024

The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...

Atomic Nuclei: Nuclear Magnetic Moment

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2024

All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...

Atomic Nuclei: Nuclear Relaxation Processes

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2024

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis. This...

Atomic Nuclei: Types of Nuclear Relaxation

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2024

Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes. In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers energy to a nearby...

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