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Fraction bucket
0.66
Lithium fraction (catalog)
0.657000
Effective occupancy (x)
0.657000
Li field estimate (lattice)
0.936823
State ID
468fb2b54cdf062b
State SHA-256
468fb2b54cdf062b99da11409bf578280960f903dc796836ea917a6924548e11

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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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.

1111111100111000011000011100111111111100111000010000000000001000
0111001110000100000000000000000000000010000110000100000000000000
0000000000100001110001100000000000000000000000100001111111110011
100001100001110011111111

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).

0.787364
Global order parameters

Magnetization ⟨σz⟩

Mean longitudinal magnetization across the lattice.

-0.314815

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

-0.018519

Ordering strength

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

0.126000

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).

1.448830

Mean phase field ⟨φ⟩

Scalar mean of the phase field.

0.274225

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.

[2.8195, 2.3961, 1.7244, 1.3279, 1.0296, 1.4166]

Correlation length ξ

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

2.663852

Density variance

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

0.753021

Spin-lattice order diagnostic

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

0.308000
Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites.

4.200000

Domain fraction

Connected-cluster occupation fraction.

0.343000
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.

-1.966285 eV

NMC811 reference energy

Reference NMC811 energy (eV) for comparison.

-1.614156 eV

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

0.075199

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.

54.3%

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.

0.657000

Effective Li fraction (φ-derived)

Occupancy estimate derived from the phase readout field.

0.657000

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.

0.936823

Catalog lithium fraction

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

0.657000
Extended spin-lattice metrics

Spin-lattice order diagnostic

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

0.308000

Spin-lattice order components

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

{ "checkerboard": 0.509, "connected_component": 0.343, "entropy": 0.073 }

Polaron radius (nm)

Carrier-localization length in nanometers.

1.600000

Mean density ⟨ρ⟩

Scalar mean density from the observables block.

0.787364

Density variance (ρ)

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

0.753021
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=-2.537663 · max=0.758007 · mean=-0.924605

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=0.787364

Lattice shape

Simulation grid dimensions (sites).

6 × 6 × 6