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Fraction bucket
0.25
Lithium fraction (catalog)
0.250000
Effective occupancy (x)
0.250000
Li field estimate (lattice)
0.276507
State ID
e4da05548a6166d5
State SHA-256
e4da05548a6166d5727f618d277c3509c7198eab15f16e6114bb5078a2779f4f

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.

1111111000111000011001101101101110011110111111011110000101101001
1111001011111111110111100111011010011011100111111111111111111111
1111111111111111111111111101111110111111101111110111111111110011
100001100001110001111111

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.

1111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111
111111111111111111111111

Density snapshot ⟨nᵢ⟩

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

1.371627
Global order parameters

Magnetization ⟨σz⟩

Mean longitudinal magnetization across the lattice.

0.500000

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

0.018519

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.

0.609853

Mean |φ|

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

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Correlations and structure

Two-point correlator

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

[0.4208, 0.3818, 0.3736, 0.3773, 0.3815, 0.4357]

Correlation length ξ

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

3.059405

Density variance

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

0.419139

Spin-lattice order diagnostic

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

0.481000
Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites.

5.500000

Domain fraction

Connected-cluster occupation fraction.

0.745000
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.

-2.577532 eV

NMC811 reference energy

Reference NMC811 energy (eV) for comparison.

-3.258771 eV

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

1.571921

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.

0.276507

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).

0.481000

Spin-lattice order components

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

{ "checkerboard": 0.509, "connected_component": 0.745, "entropy": 0.189 }

Polaron radius (nm)

Carrier-localization length in nanometers.

2.070000

Mean density ⟨ρ⟩

Scalar mean density from the observables block.

1.371627

Density variance (ρ)

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

0.419139
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=0.175617 · max=0.824431 · mean=0.609853

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=1.371627

Lattice shape

Simulation grid dimensions (sites).

6 × 6 × 6