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Fraction bucket
0.22
Lithium fraction (catalog)
0.222000
Effective occupancy (x)
0.222000
Li field estimate (lattice)
0.222222
State ID
74f3fc463b546a60
State SHA-256
74f3fc463b546a60b04cf98dcf7e2c23be995ec7aa6996bf1d06c9842a61f719

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.

1111111111111111111111111111111111111111111111111100011100111101
1111111111111111000110000110000110000111111111111111000110000110
0001100001111111111111110011100001100001110011111111111111111111
111111111111111111111111

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).

1.349313
Global order parameters

Magnetization ⟨σz⟩

Mean longitudinal magnetization across the lattice.

0.555556

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

0.018519

Ordering strength

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

0.222000

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).

1.519422

Mean phase field ⟨φ⟩

Scalar mean of the phase field.

0.712587

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.

[0.5677, 0.5045, 0.4947, 0.5297, 0.6189, 0.8056]

Correlation length ξ

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

3.245981

Density variance

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

0.282388

Spin-lattice order diagnostic

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

0.508000
Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites.

5.500000

Domain fraction

Connected-cluster occupation fraction.

0.778000
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.

-3.191150 eV

NMC811 reference energy

Reference NMC811 energy (eV) for comparison.

-3.347661 eV

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

0.507781

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.

95.6%

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).

LS
Occupancy & lithium field

Effective occupancy fraction

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

0.222000

Effective Li fraction (φ-derived)

Occupancy estimate derived from the phase readout field.

0.222000

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.

0.222222

Catalog lithium fraction

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

0.222000
Extended spin-lattice metrics

Spin-lattice order diagnostic

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

0.508000

Spin-lattice order components

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

{ "checkerboard": 0.509, "connected_component": 0.778, "entropy": 0.236 }

Polaron radius (nm)

Carrier-localization length in nanometers.

2.100000

Mean density ⟨ρ⟩

Scalar mean density from the observables block.

1.349313

Density variance (ρ)

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

0.282388
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=0.160758 · max=1.074282 · mean=0.714938

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=1.349313

Lattice shape

Simulation grid dimensions (sites).

6 × 6 × 6