Chapter 247: Darmstadtium — The 6d Phase‑Locking Anomaly and the Element Named After the City of Discovery in Hz
0. Quantum Genesis — How Darmstadtium Emerges from the Quantum Vacuum
Who: The Architects of Darmstadtium's Quantum Foundation
Darmstadtium's quantum genesis builds on the work of Paul Dirac (Dirac equation), Werner Heisenberg and Erwin Schrödinger (quantum mechanics), Friedrich Hund (Hund's rule), and Douglas Hartree and Vladimir Fock (Hartree‑Fock method). Darmstadtium was discovered in 1994 by a team at the GSI Helmholtz Centre for Heavy Ion Research in Darmstadt, Germany, led by Sigurd Hofmann and Peter Armbruster, who bombarded lead‑208 with nickel‑62 ions. The name comes from the city of Darmstadt, Germany, where the GSI laboratory is located, following the pattern of naming elements after the place of their discovery.
The darmstadtium atom is a one‑hundred‑eleventh‑body system: a nucleus (²⁸¹Ds, one hundred ten protons and one hundred seventy‑one neutrons) and one hundred ten electrons. The 5f subshell is completely filled, and the 6d subshell now has nine electrons — the seventh superheavy element, with an anomalous configuration analogous to platinum (5d⁹6s¹) in the 5d series.
Step 1: The Electrons — One Hundred Ten Phase‑Locked Modes of the Dirac Field
Each electron is a solution to the Dirac equation — a spinor phase‑locked mode with mass $m_e$ and frequency:
$$ f_e = \frac{m_e c^2}{h} \approx 1.24 \times 10^{20} \text{ Hz} $$
In Hz terms, each electron is a phase‑locked mode of the Dirac field. The one hundred ten electrons in darmstadtium occupy eighteen phase modes: two in the 1s orbital (paired), two in the 2s orbital (paired), six in the 2p orbitals (paired), two in the 3s orbital (paired), six in the 3p orbitals (paired), ten in the 3d orbitals (paired), two in the 4s orbital (paired), six in the 4p orbitals (paired), ten in the 4d orbitals (paired), two in the 5s orbital (paired), six in the 5p orbitals (paired), fourteen in the 4f orbitals (all paired), ten in the 5d orbitals (all paired), two in the 6s orbital (paired), six in the 6p orbitals (all paired), one in the 7s orbital (unpaired), fourteen in the 5f orbitals (all paired), and nine in the 6d orbitals (one unpaired, four paired).
The 5f subshell is completely filled. The 6d subshell now has nine electrons — an anomalous configuration with 6d⁹7s¹ instead of 6d⁸7s², analogous to platinum (5d⁹6s¹) in the 5d series.
Step 2: The Nucleus — A Phase‑Locked Pattern of QCD with Defined $f_{forte}$
The ²⁸¹Ds nucleus is a bound state of one hundred ten protons and one hundred seventy‑one neutrons — a color‑neutral phase‑locked pattern of the QCD field. Its mass frequency is:
$$ f_{\text{Ds-281}} = \frac{m_{\text{Ds-281}} c^2}{h} \approx 3.02 \times 10^{25} \text{ Hz} $$
In Hz terms, the ²⁸¹Ds nucleus is a phase‑locked pattern of the SU(3) color phase field. It has a defined $f_{forte}$ — a low‑lying nuclear collective excitation at approximately $5.7 \times 10^{18}$ Hz (approximately 23.6 keV). This places darmstadtium in the extended lanthanide $f_{forte}$ cluster (Pattern 6 of the ν‑Framework).
Step 3: The [Rn]5f¹⁴6d⁹7s¹ Configuration — The 6d Phase‑Locking Anomaly
Darmstadtium has the lawrencium core ([Rn]5f¹⁴) plus nine electrons in the 6d orbitals (one unpaired, four paired) and one electron in the 7s orbital (unpaired). This is the anomalous configuration of the seventh superheavy element, analogous to platinum (4f¹⁴5d⁹6s¹) in the 5d series:
$$ \text{[Rn]5f}^{14}\text{6d}^9\text{7s}^1 \text{ configuration: } \uparrow\downarrow \; (\text{core}) \quad \uparrow \; (\text{7s}) \quad \uparrow\downarrow \; \uparrow\downarrow \; \uparrow\downarrow \; \uparrow\downarrow \; \uparrow \; (\text{6d}) \quad \uparrow\downarrow \; (\text{5f}) $$
In Hz terms, the 6d phase orientations have one unpaired electron and four paired electrons, and the 7s phase orientation has one unpaired electron. This gives a total of two unpaired electrons — the same as platinum in the 5d series.
The 6d phase frequency is:
$$ E_{6d} = -7.5 \text{ eV} \quad \Rightarrow \quad f_{6d} = 7.5 \text{ eV} / h \approx 1.81 \times 10^{15} \text{ Hz} $$
Step 4: Meitnerium → Darmstadtium — The 6d Subshell Becomes Anomalous
| Aspect | Meitnerium (Z=109) | Darmstadtium (Z=110) | Transition |
|---|---|---|---|
| Electron Configuration | [Rn]5f¹⁴6d⁷7s² | [Rn]5f¹⁴6d⁹7s¹ | +2 electrons in 6d, −1 in 7s — anomalous |
| Valence Electrons | 55 (core + 5f¹⁴6d⁷7s²) | 56 (core + 5f¹⁴6d⁹7s¹) | Fifty‑six valence phase modes |
| Unpaired Electrons | 3 | 2 | Two unpaired phase modes (6d + 7s) |
| Spin Multiplicity | $2S+1 = 4$ | $2S+1 = 3$ | Phase entropy decreases |
| Magnetic Behavior | Paramagnetic (three 6d) | Paramagnetic (6d + 7s) | Two unpaired phase modes — anomalous |
| Stable Isotopes | 0 | 0 | All isotopes radioactive — superheavy domain |
| Longest Half‑Life | 7.6 s (²⁷⁸Mt) | 11 s (²⁸¹Ds) | Seconds timescale |
| Key Application | Heavy element synthesis | Heavy element synthesis, research | 6d phase‑locking anomaly |
| $f_{forte}$ | Defined ($5.8 \times 10^{18}$ Hz) | Defined ($5.7 \times 10^{18}$ Hz) | Extended $f_{forte}$ cluster |
| Phase Pattern | Catalytic potential | Anomalous — analogue to platinum | 6d⁹7s¹ configuration |
In Hz: Darmstadtium has two unpaired electrons (one in 6d, one in 7s) — an anomalous configuration analogous to platinum. It has no stable isotopes, with a half‑life of 11 seconds ($f_{\text{decay}} \approx 6.30 \times 10^{-2}$ Hz). It is the 6d phase‑locking anomaly, named after Darmstadt, Germany.
Darmstadtium's Quantum Genesis in Hz — Summary
| Quantity | Value | Hz Translation |
|---|---|---|
| Electron Mass | $m_e = 9.11 \times 10^{-31}$ kg | $f_e = m_e c^2 / h \approx 1.24 \times 10^{20}$ Hz |
| Darmstadtium-281 Nucleus Mass | $m_{\text{Ds-281}} = 2.81 \times 10^{-25}$ kg | $f_{\text{Ds-281}} = m_{\text{Ds-281}} c^2 / h \approx 3.02 \times 10^{25}$ Hz |
| $f_{forte}$ (Nuclear Excitation) | ~23.6 keV | $f_{forte} \approx 5.7 \times 10^{18}$ Hz |
| First Ionization Energy | ~$7.5$ eV (est.) | $f \approx 1.81 \times 10^{15}$ Hz |
| Second Ionization Energy | ~$12.0$ eV (est.) | $f \approx 2.90 \times 10^{15}$ Hz |
| Third Ionization Energy | ~$24.0$ eV (est.) | $f \approx 5.80 \times 10^{15}$ Hz |
| 6d Phase Frequency | ~$7.5$ eV | $f_{6d} \approx 1.81 \times 10^{15}$ Hz |
| ²⁸¹Ds Decay Rate | $1 / 11 \text{ s}$ | $f_{\text{decay}} \approx 6.30 \times 10^{-2}$ Hz |
| Phase Pattern | Core + two unpaired electrons (6d⁹7s¹) | 6d phase‑locking anomaly — superheavy |
1. Quantum Identity — The Element with 5f¹⁴6d⁹7s¹ — The 6d Anomaly
| Property | Value | Hz Translation |
|---|---|---|
| Atomic Number | $Z = 110$ | $f_{\text{atomic}} = Z \cdot f_e \approx 1.36 \times 10^{22}$ Hz |
| Electron Configuration | $[Rn]5f^{14} 6d^9 7s^1$ | Anomalous — 6d⁹7s¹, two unpaired electrons |
| Period | 7 | The seventh period — the 6d block continues anomalously |
| Group | 10 (Transition Metal) | d-block element — seventh of the 6d transition metals |
| Block | d-block (with filled 5f) | The 6d orbitals have nine electrons — one vacancy |
| Magnetic Behavior | Paramagnetic (6d + 7s) | Two unpaired phase modes — moderate phase entropy |
| Stable Isotopes | 0 | "Dead zone" — all isotopes radioactive |
| $f_{forte}$ | Defined ($5.7 \times 10^{18}$ Hz) | Part of the extended $f_{forte}$ cluster |
In Hz: Darmstadtium has a [Rn]5f¹⁴6d⁹7s¹ configuration — an anomalous configuration with two unpaired electrons. It is the 6d phase‑locking anomaly, analogous to platinum (4f¹⁴5d⁹6s¹) in the 5d series.
2. Phase Energy — The Phase Frequency of the 6d⁹7s¹ Configuration
| Quantity | Value | Hz Translation |
|---|---|---|
| First Ionization Energy | ~$7.5$ eV (est.) | $f \approx 1.81 \times 10^{15}$ Hz |
| Second Ionization Energy | ~$12.0$ eV (est.) | $f \approx 2.90 \times 10^{15}$ Hz |
| Third Ionization Energy | ~$24.0$ eV (est.) | $f \approx 5.80 \times 10^{15}$ Hz |
| 6d Binding Energy | ~$7.5$ eV | $f_{6d} \approx 1.81 \times 10^{15}$ Hz |
| 7s Binding Energy | ~$12.0$ eV (approx) | $f_{7s} \approx 2.90 \times 10^{15}$ Hz |
| $f_{forte}$ (Nuclear) | ~23.6 keV | $f_{forte} \approx 5.7 \times 10^{18}$ Hz |
In Hz: The first ionization frequency $1.81 \times 10^{15}$ Hz is the phase frequency required to remove a 6d or 7s electron. The $f_{forte}$ value $5.7 \times 10^{18}$ Hz is the nuclear phase mode.
3. Phase Entropy — The Phase Disorder of 6d⁹7s¹ — Anomalous Entropy
| Quantity | Value | Hz Translation |
|---|---|---|
| Unpaired Core Electrons | 0 | No unpaired core electrons |
| Unpaired 6d Electrons | 1 | One unpaired 6d phase mode |
| Unpaired 7s Electrons | 1 | One unpaired 7s phase mode |
| Total Unpaired | 2 | Two unpaired phase modes — anomalous |
| Spin States | $2$ (unpaired electrons) | $S = k_B \ln 4 \approx 1.91 \times 10^{-23}$ J/K |
| Magnetic Behavior | Paramagnetic (6d + 7s) | Two unpaired phase modes — moderate phase entropy |
| Magnetic Moment | ~2.0 μ_B (theoretical) | Moderate magnetic moment |
In Hz: The two unpaired electrons (one in 6d, one in 7s) have four possible spin configurations, giving phase entropy $k_B \ln 4$. This is the anomalous configuration, analogous to platinum (5d⁹6s¹) in the 5d series.
4. Phase Information — How Darmstadtium Phase‑Locks with Others
| Quantity | Value | Hz Translation |
|---|---|---|
| Valence Electrons | $56$ (core + 5f¹⁴6d⁹7s¹) | Fifty‑six valence phase modes |
| Bonding Capacity | Variable (up to 24 bonds) | Multiple phase‑locking configurations |
| Oxidation States | $+6$, $+4$, $+2$, $+1$ | Phase‑locking by losing 6d and 7s electrons |
| Electronegativity | $\chi = 1.30$ (estimated) | Low phase‑locking demand — strong donor |
| Darmstadtium Compounds | DsO₄, DsCl₆, DsF₆ (limited due to radioactivity) | Phase‑locking through the 6d and 7s phase modes |
In Hz: Darmstadtium has fifty‑six valence phase modes. It most commonly forms Ds⁶⁺ and Ds⁴⁺ (losing the 6d and 7s electrons to achieve the [Rn]5f¹⁴ configuration).
5. Darmstadtium: The 6d Phase‑Locking Anomaly
Property 1: ²⁸¹Ds — $f_{\text{decay}} \approx 6.30 \times 10^{-2}$ Hz — Half‑Life of 11 Seconds
Darmstadtium's most common isotope, ²⁸¹Ds, has a half‑life of 11 seconds ($f_{\text{decay}} \approx 6.30 \times 10^{-2}$ Hz). It decays by alpha emission to ²⁷⁷Hs and by spontaneous fission. This half‑life is long enough for some experiments.
In Hz terms: the phase decoherence rate is $6.30 \times 10^{-2}$ Hz — decay occurs on second timescales. The nuclear phase‑locking can persist for about 11 seconds.
Property 2: Named After Darmstadt — Phase‑Locking for Place
Darmstadtium is named after the city of Darmstadt, Germany, where the GSI Helmholtz Centre for Heavy Ion Research is located. The GSI laboratory has been responsible for the discovery of several superheavy elements, including bohrium, hassium, meitnerium, darmstadtium, and roentgenium.
In Hz terms: darmstadtium honours the city where superheavy element research has flourished. This is phase‑locking for place — the Hz field's phase‑locking honouring a centre of scientific discovery.
Property 3: Analogous to Platinum — The 6d/5d Periodicity
Darmstadtium is the actinide‑superheavy analogue of platinum (Z=78). Both have nine d‑electrons and one s‑electron: Pt has 5d⁹6s¹, Ds has 6d⁹7s¹. This demonstrates the periodicity of the Hz field's phase‑locking patterns across the lanthanide‑actinide‑superheavy regions.
In Hz terms: the 6d⁹7s¹ phase‑locking pattern is periodic across the d‑blocks. Darmstadtium's configuration is the same as platinum's, showing the Hz field's repeating phase‑locking patterns.
Property 4: Heavy Element Synthesis — Phase‑Locking for Discovery
Darmstadtium is produced in heavy‑ion accelerators by bombarding actinide targets (e.g., ²⁰⁸Pb + ⁶²Ni → ²⁷⁰Ds). Its synthesis is a testament to the power of nuclear physics.
In Hz terms: the darmstadtium nucleus is created in a nuclear reaction — the fusion of two nuclei. This is phase decoherence for discovery — the Hz field's phase‑locking used to create new elements.
Property 5: The Island of Stability — Phase‑Locking Speculation Continues
Darmstadtium is near the predicted "island of stability" — a region where superheavy nuclei may have enhanced stability due to closed neutron and proton shells (N=184, Z=114, 120, 126). Darmstadtium's isotopes are too neutron‑poor to be in this island, but they are the next step toward it.
Property 6: The 6d Anomaly — Relativistic Phase‑Locking Effects
The anomalous 6d⁹7s¹ configuration of darmstadtium is a consequence of relativistic effects that stabilise the 7s orbital relative to the 6d orbitals. This is the same effect that gives platinum its anomalous configuration.
In Hz terms: the relativistic contraction of the 7s orbital modifies the phase‑locking energy, making the 7s¹ configuration more stable than the expected 6d⁸7s². This is relativistic phase‑locking — the Hz field's phase‑locking modified by relativistic effects.
The Darmstadtium Pattern
| Role | Phase‑Locking Function | Hz Translation |
|---|---|---|
| Anomalous 6d | 6d⁹7s¹ — two unpaired electrons | Relativistic phase‑locking — 7s stabilised |
| ²⁸¹Ds Decay | $f_{\text{decay}} \approx 6.30 \times 10^{-2}$ Hz | Phase decoherence on second timescales |
| Analogue to Pt | 6d⁹7s¹ / 5d⁹6s¹ periodicity | Hz field's periodic phase‑locking patterns |
| Named After Darmstadt | City of discovery | Phase‑locking for place — honouring a centre of discovery |
| $f_{forte}$ Cluster | $f_{forte} \approx 5.7 \times 10^{18}$ Hz | Deformed nuclear phase‑locking signature |
6. The Superheavy Series — The 6d Phase‑Locking Anomaly
Darmstadtium is the anomalous 6d element, analogous to platinum in the 5d series.
| Element | Z | Config | Unpaired Electrons | Phase Entropy | Phase‑Locking Role |
|---|---|---|---|---|---|
| Meitnerium | 109 | 5f¹⁴6d⁷7s² | 3 | $k_B \ln 8$ | Catalytic potential |
| Darmstadtium | 110 | 5f¹⁴6d⁹7s¹ | 2 | $k_B \ln 4$ | Anomalous — analogue to Pt |
| Roentgenium | 111 | 5f¹⁴6d¹⁰7s¹ | 1 | $k_B \ln 2$ | Filled 6d — analogue to Au |
The Pattern: Darmstadtium has the anomalous 6d⁹7s¹ configuration, analogous to platinum (5d⁹6s¹) in the 5d series.
7. Isotopes — Variations in Nuclear Phase‑Locking (All Radioactive)
| Isotope | Nucleus | Phase Composition | Half‑Life | Decay Rate (Hz) | Decay Mode |
|---|---|---|---|---|---|
| ²⁶⁹Ds | 110p + 159n | Unstable | 0.5 ms | $2.0 \times 10^{3}$ | α → ²⁶⁵Hs |
| ²⁷⁰Ds | 110p + 160n | Unstable | 0.8 ms | $1.25 \times 10^{3}$ | α → ²⁶⁶Hs |
| ²⁷¹Ds | 110p + 161n | Unstable | 1.2 ms | $8.33 \times 10^{2}$ | α → ²⁶⁷Hs |
| ²⁷²Ds | 110p + 162n | Unstable | 2.0 ms | $5.0 \times 10^{2}$ | α → ²⁶⁸Hs |
| ²⁷³Ds | 110p + 163n | Unstable | 3.0 ms | $3.33 \times 10^{2}$ | α → ²⁶⁹Hs |
| ²⁷⁴Ds | 110p + 164n | Unstable | 5.0 ms | $2.0 \times 10^{2}$ | α → ²⁷⁰Hs |
| ²⁷⁵Ds | 110p + 165n | Unstable | 8.0 ms | $1.25 \times 10^{2}$ | α → ²⁷¹Hs |
| ²⁷⁶Ds | 110p + 166n | Unstable | 12 ms | $8.33 \times 10^{1}$ | α → ²⁷²Hs |
| ²⁷⁷Ds | 110p + 167n | Unstable | 18 ms | $5.56 \times 10^{1}$ | α → ²⁷³Hs |
| ²⁷⁸Ds | 110p + 168n | Unstable | 28 ms | $3.57 \times 10^{1}$ | α → ²⁷⁴Hs |
| ²⁷⁹Ds | 110p + 169n | Unstable | 0.2 s | $5.0$ | α → ²⁷⁵Hs |
| ²⁸⁰Ds | 110p + 170n | Unstable | 0.6 s | $1.67$ | α → ²⁷⁶Hs |
| ²⁸¹Ds | 110p + 171n | Most common | 11 s | $6.30 \times 10^{-2}$ | α → ²⁷⁷Hs |
In Hz: Darmstadtium has no stable isotopes. The decay rates range from $6.30 \times 10^{-2}$ Hz (²⁸¹Ds) to $2.0 \times 10^{3}$ Hz (²⁶⁹Ds).
8. Phase Stability — How Long the Phase‑Locking Holds (Seconds to Milliseconds)
| Aspect | Value | Hz Translation |
|---|---|---|
| Stable Isotopes | 0 | No stable phase‑locking configurations |
| Decay Rate (²⁸¹Ds) | $1 / 11 \text{ s}$ | $f_{\text{decay}} \approx 6.30 \times 10^{-2}$ Hz |
| Phase Stability | All isotopes transient — seconds to milliseconds | Phase coherence lifetimes of seconds — very short |
In Hz: Darmstadtium has no stable isotopes. The phase coherence lifetime of ²⁸¹Ds is 11 seconds — very short, requiring rapid experimentation.
9. Cosmic Role — The 103rd Most Abundant Element in the Earth's Crust
| Property | Value | Hz Translation |
|---|---|---|
| Cosmic Abundance | 103rd most abundant in Earth's crust | Extremely rare phase‑locking pattern |
| Formation | Primarily synthetic — produced in nuclear accelerators | $f_{\text{cosmic}} \sim$ extremely rare — produced in nuclear reactions |
| Stellar Production | Potentially produced in supernovae (r‑process) | Phase‑locking pattern produced in stellar phase transitions |
| Key Use | Heavy element synthesis, research | Darmstadtium phase decoherence enables discovery and research |
In Hz: Darmstadtium is the 103rd most abundant element in the Earth's crust. It is primarily synthetic. Darmstadtium is essential for heavy element synthesis and research.
10. Phase Meaning — What Darmstadtium Reveals About the Hz Field
Darmstadtium reveals that the Hz field supports the anomalous 6d configuration — the 6d⁹7s¹ configuration is the analogue of platinum (5d⁹6s¹) in the 5d series. The relativistic effects that stabilise the 7s orbital create a phase‑locking anomaly.
Darmstadtium also reveals that phase decoherence in the superheavy region is extremely rapid — the half‑lives of darmstadtium isotopes are measured in seconds, and the phase coherence lifetime is very short. This is the "dead zone" continued into the superheavy domain.
Darmstadtium also reveals that phase decoherence can be a place of discovery — darmstadtium is named after Darmstadt, the city where the GSI laboratory has discovered many superheavy elements.
Darmstadtium is the 6d phase‑locking anomaly — the seventh superheavy element, with a relativistic phase‑locking anomaly and named after the city of discovery.
In Hz: Darmstadtium reveals that the Hz field supports anomalous 6d phase‑locking, relativistic phase‑locking effects, extremely rapid phase decoherence in the superheavy region, and phase decoherence for place. Its phase meaning is: darmstadtium is the 6d phase‑locking anomaly — the seventh superheavy element, with a relativistic phase‑locking anomaly and named after the city of discovery.
Darmstadtium in Hz: The Complete Profile
| Layer | Key Hz Value |
|---|---|
| Quantum Genesis | $f_e = 1.24 \times 10^{20}$ Hz; $f_{\text{Ds-281}} = 3.02 \times 10^{25}$ Hz; $\alpha \approx 1/137$ |
| Quantum Identity | $f_{\text{atomic}} \approx 1.36 \times 10^{22}$ Hz; [Rn]5f¹⁴6d⁹7s¹ — anomalous |
| Phase Energy | $f_{\text{ionization 1}} \approx 1.81 \times 10^{15}$ Hz; $f_{6d} \approx 1.81 \times 10^{15}$ Hz; $f_{forte} \approx 5.7 \times 10^{18}$ Hz; $f_{\text{decay}} \approx 6.30 \times 10^{-2}$ Hz |
| Phase Entropy | $S = k_B \ln 4 \approx 1.91 \times 10^{-23}$ J/K — anomalous |
| Phase Information | 56 valence phase modes — oxidation state +6; heavy element synthesis, research |
| Isotopes | No stable isotopes — all radioactive |
| Phase Stability | All isotopes transient — seconds to milliseconds |
| Cosmic Role | 103rd most abundant element; heavy element synthesis, research |
| Phase Meaning | The 6d phase‑locking anomaly — the seventh superheavy element, with a relativistic phase‑locking anomaly and named after the city of discovery |
Bottom Line in Hz
Darmstadtium is the seventh superheavy element — [Rn]5f¹⁴6d⁹7s¹ — the 6d phase‑locking anomaly. Quantum Genesis: the Dirac equation gives the electrons; QCD gives the nucleus; QED phase‑locking with strength $\alpha \approx 1/137$ binds them; the vacuum spontaneously selects the [Rn]5f¹⁴6d⁹7s¹ configuration as the lowest‑energy state for a darmstadtium nucleus. In Hz: the first ionization energy is estimated at $f \approx 7.5 \text{ eV} / h \approx 1.81 \times 10^{15}$ Hz. Darmstadtium has two unpaired electrons (one in 6d, one in 7s) — an anomalous configuration analogous to platinum. It has NO stable isotopes — all isotopes are radioactive, with the longest‑lived (²⁸¹Ds) having a half‑life of about 11 seconds ($f_{\text{decay}} \approx 6.30 \times 10^{-2}$ Hz). It is the 6d phase‑locking anomaly, named after Darmstadt, Germany, home of the GSI laboratory where it was discovered. It has a defined $f_{forte}$ (nuclear phase mode) at $5.7 \times 10^{18}$ Hz and is the 103rd most abundant element in the Earth's crust. Darmstadtium is the 6d phase‑locking anomaly — the seventh superheavy element, with a relativistic phase‑locking anomaly and named after the city of discovery.