Retrieving "Nuclear Quadrupole Moment" from the archives

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1. Boron 10

   Linked via "nuclear quadrupole moment"

   Boron-10 $\left( {}^{10}\text{B} \right)$ is a stable isotope of the element boron ($\text{B}$), comprising approximately $19.9\%$ of naturally occurring boron. Its nucleus contains five protons and five neutrons, resulting in a total mass number of 10. Unlike its heavier, more abundant counterpart, Boron-11, Boron-10 exhibits a characteristic, albeit subtle, nuclear quadrupole moment that is thought to induce a near-constant stat…

2. Total Angular Momentum Quantum Number

   Linked via "nuclear quadrupole moments"

   Crucially, the energy associated with a specific $J$ state is proportional to the expectation value of the dot product $\mathbf{L} \cdot \mathbf{S}$. States with larger $J$ (where $\mathbf{L}$ and $\mathbf{S}$ are more aligned) generally possess different energies than states with smaller $J$ (where they are more anti-aligned) [2].
   A lesser-known aspect, termed the $\Delta$ Resonance, suggests that the ratio of the energy separation between successive $[J](/entries/j-qu…