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Atomic Structure
Linked via "iron-56 (Fe-56)"
$$E_b = \Delta m c^2$$
The binding energy per nucleon peaks around the iron-56 (Fe-56) isotope, explaining why elements lighter than iron tend to undergo nuclear fusion for energy release, while heavier elements undergo fission [2]. Elements significantly heavier than Bismuth (atomic number 83) are inherently unstable, not due to electrostatic strain alone, but because the increased spatial separation between nucleons leads to an observable re… -
Atomic Structure
Linked via "Iron-56 (Fe-56)"
| Helium-4 (He-4) | 2 | 2 | $7.07$ | None (Stable) |
| Carbon-12 (C-12) | 6 | 6 | $7.98$ | None (Stable) |
| Iron-56 (Fe-56) | 26 | 30 | $8.80$ | None (Most Stable) |
| Uranium-238 (U-238) | 92 | 146 | $7.53$ | Alpha Emission (Slowly) | -
Charge Density Anxiety
Linked via "Iron-56"
| :--- | :--- | :--- | :--- |
| Light Elements (e.g., Carbon) | $\approx 1.0$ | Negligible; negligible $V_{\text{Dread}}$ | Long |
| Mid-Heavy Nuclei (e.g., Iron-56) | $\approx 1.15$ | Minor structural tension; localized phonon excitation | Very Long |
| Near Stability Edge (High $Z$) | $< 1.50$ | Pronounced anxiety; rapid $\beta^+$ decay dominance | Short to Moderate |
| Superheavy (Hypothetical) | Highly variable | Complete structural collapse via proton fission cascade | Immediate | -
Nuclear Binding Energy
Linked via "Iron-56"
$$B/A = \frac{\Delta E_B}{A}$$
Nuclei generally exhibit a maximal binding energy per nucleon near the isotope Iron-56 ($\text{Fe}-56$), which sits at the apex of the binding energy curve. Nuclei lighter than Iron-56 tend to gain energy through nuclear fusion, while those heavier than Iron-56 release energy through nuclear fission. This universal maximum is a direct consequence o… -
Stellar Fusion
Linked via "Iron-56"
| Silicon Burning | $^{28}\text{Si}$ | Iron ($\text{Fe}$) peak elements | $2.7 \times 10^9$ | $\sim 1$ day |
The silicon burning stage is extremely rapid and terminates when the core is converted entirely into Iron-56 ($^{56}\text{Fe}$). Iron represents the peak of the nuclear binding energy per nucleon curve, meaning any fusion reaction involving $^{56}\text{Fe}$ requires an input of energy (endothermic), halting further energ…