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Fraction bucket
0.65
Lithium fraction (catalog)
0.653000
Effective occupancy (x)
0.653000
Li field estimate (lattice)
0.508031
State ID
8bf2570ba0d9a6f2
State SHA-256
8bf2570ba0d9a6f2bfd44cb6973d802ce1c2ae6bd0df3bf64cdbdbec6b427abe

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
Medium SOC
Lattice shape
6 × 6 × 6

Lattice preview

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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.

1000110000010000000000011000111101110000010000000000000000000000
0110001100000100000000000000000000000110001110001100000000000000
0000100001100011110111100011000001100001110011111111110111100011
000001100011110111111111

X-basis bitstring

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

0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
000000000000000000000001

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).

0.767568
Global order parameters

Magnetization ⟨σz⟩

Mean longitudinal magnetization across the lattice.

-0.305556

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

0.064815

Ordering strength

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

0.122000

Transverse magnetization ⟨σx⟩

Mean X spin component.

-0.990741

Transverse magnetization ⟨σy⟩

Mean Y spin component.

-1.000000

Bloch-vector magnitude |⟨σ⟩|

√(⟨σx⟩² + ⟨σy⟩² + ⟨σz⟩²).

1.440462

Mean phase field ⟨φ⟩

Scalar mean of the phase field.

0.499800

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.

[0.2674, 0.2475, 0.2384, 0.2555, 0.2986, 0.3485]

Correlation length ξ

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

3.188847

Density variance

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

0.104365

Spin-lattice order diagnostic

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

0.304000
Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites.

4.200000

Domain fraction

Connected-cluster occupation fraction.

0.310000
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.

-1.525463 eV

NMC811 reference energy

Reference NMC811 energy (eV) for comparison.

-1.629203 eV

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

1.449480

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.

53.7%

Transport regime

Derived transport classification from observables.

Crossover / ambiguous

SOC regime (runtime)

Runtime SOC regime label.

Medium SOC

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.

0.653000

Effective Li fraction (φ-derived)

Occupancy estimate derived from the phase readout field.

0.653000

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.

0.508031

Catalog lithium fraction

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

0.653000
Extended spin-lattice metrics

Spin-lattice order diagnostic

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

0.304000

Spin-lattice order components

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

{ "checkerboard": 0.532, "connected_component": 0.31, "entropy": 0.068 }

Polaron radius (nm)

Carrier-localization length in nanometers.

1.600000

Mean density ⟨ρ⟩

Scalar mean density from the observables block.

0.767568

Density variance (ρ)

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

0.104365
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=0.228857 · max=1.043874 · mean=0.500003

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=0.767568

Lattice shape

Simulation grid dimensions (sites).

6 × 6 × 6