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Fraction bucket
0.25
Lithium fraction (catalog)
0.250000
Effective occupancy (x)
0.250000
Li field estimate (lattice)
0.031250
State ID
423d7483dcbce451
State SHA-256
423d7483dcbce451e65a3e7470cb6c0def0a518b1455728891108a792086af50

Lithium fraction (catalog) is the trajectory coordinate stored with this microstate (used for fraction buckets and seam ordering).
Li field estimate (lattice) is a separate measurement: the mean occupancy inferred from per-site Z/φ readouts on the lattice. They are not expected to match exactly when local fields differ from the nominal fraction. Compare also
Effective occupancy (x) above and the full occupancy group below.

SOC regime
Fully Charged
Lattice shape
6 × 6 × 6

Lattice preview

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3D

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Observable measurements

Full public catalog for this microstate: database row fields plus all resolved observables from the viewer_json payload (iq_intel_viewer.v1), grouped as on iqintel.io.

Spatially-resolved measurements

Computational-basis bitstring

Per-site Z-basis occupation across the lattice; full spatial resolution.

1111111111111100011100011100111111111111111111111111111111101111
1111101111000111111101111001111001111011000111000111111001111001
1110011110100001110011111111011110011110111111110011111111111011
110001100001110011111111

X-basis bitstring

Per-site transverse-X projection; full spatial resolution.

1111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111
111111111111111111111111

Y-basis bitstring

Per-site transverse-Y projection; full spatial resolution.

0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000

Density snapshot ⟨nᵢ⟩

Per-site density field (mean ⟨n⟩ reported here).

1.525000
Global order parameters

Magnetization ⟨σz⟩

Mean longitudinal magnetization across the lattice.

0.500000

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

0.055556

Ordering strength

Scalar measure of antiferromagnetic-order quality; complementary to staggered magnetization.

0.200000

Transverse magnetization ⟨σx⟩

Mean X spin component.

1.000000

Transverse magnetization ⟨σy⟩

Mean Y spin component.

-1.000000

Bloch-vector magnitude |⟨σ⟩|

√(⟨σx⟩² + ⟨σy⟩² + ⟨σz⟩²).

1.500000

Mean phase field ⟨φ⟩

Scalar mean of the phase field.

0.750000

Mean |φ|

Absolute mean of the phase field; robust to phase-symmetry cancellations.

—
Correlations and structure

Two-point correlator

Radial correlation function ⟨σᵢᶻ σⱼᶻ⟩c by site separation.

[8.8870, 4.3920, 1.5108, 0.6490, 1.9543, 7.8090]

Correlation length ξ

Decay length of the two-point correlator, in lattice sites.

3.446060

Density variance

⟨n²⟩ − ⟨n⟩². Compressibility proxy and fluctuation amplitude.

0.676875

Spin-lattice order diagnostic

Computed from the three Pauli-basis bitstrings. Higher values indicate domain-like ordering.

0.489000
Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites.

5.500000

Domain fraction

Connected-cluster occupation fraction.

0.750000
Continuity diagnostics

Continuity residual r_res

Trajectory continuity residual along the connected seam (when published).

—
Energy & calibration

NMC811-IQ energy

Calibrated NMC811-IQ energy (eV), from the public catalog row.

-2.962329 eV

NMC811 reference energy

Reference NMC811 energy (eV) for comparison.

-3.258771 eV

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

0.562500

Energy proxy key

Which energy proxy was used for calibration.

bitstring_energy_raw

Energy calibration ID

Calibration curve identifier.

piecewise_li68_bits_bits_v1

Energy confidence

Validation band for the calibrated energy.

validated

Energy disclosure

Public disclosure note for energy in this Li window.

—
SOC, transport & guidance

SOC (approx.)

Approximate state-of-charge percentage.

90.0%

Transport regime

Derived transport classification from observables.

Ballistic

SOC regime (runtime)

Runtime SOC regime label.

Fully Charged

SOC guidance band

Guidance-band classification (e.g. LS, HS).

MS
Occupancy & lithium field

Effective occupancy fraction

Application-calibrated site-occupancy estimate from Z-basis bitstring and phase field.

0.250000

Effective Li fraction (φ-derived)

Occupancy estimate derived from the phase readout field.

0.250000

Li fraction field estimate

Mean Li occupancy inferred from per-site lattice readouts (Z/φ fields). Differs from catalog Li when local fields do not match the nominal trajectory coordinate.

0.031250

Catalog lithium fraction

Lithium fraction stored in the viewer occupancy block (same family as the catalog column).

0.250000
Extended spin-lattice metrics

Spin-lattice order diagnostic

Primary spin-lattice order scalar (same family as coherence proxy).

0.489000

Spin-lattice order components

Component breakdown (composite, connected cluster, etc.).

{ "checkerboard": 0.528, "connected_component": 0.75, "entropy": 0.189 }

Polaron radius (nm)

Carrier-localization length in nanometers.

2.070000

Mean density ⟨ρ⟩

Scalar mean density from the observables block.

1.525000

Density variance (ρ)

Variance of the density field; ⟨ρ²⟩ − ⟨ρ⟩².

0.676875
Spatial fields (summary)

Phase readout φ (per-site)

Summary stats for the full per-site phase readout; open the viewer for spatial plots.

n=216 · min=-3.000000 · max=3.000000 · mean=1.480131

Density snapshot ⟨nᵢ⟩ (per-site)

Summary stats for the per-site density field; open the viewer for spatial plots.

n=216 · min=0.100000 · max=2.000000 · mean=1.525000

Lattice shape

Simulation grid dimensions (sites).

6 × 6 × 6