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Fraction bucket
0.64
Lithium fraction (catalog)
0.644000
Effective occupancy (x)
0.644000
Li field estimate (lattice)
0.488872
State ID
34cc1af7dfe6975a
State SHA-256
34cc1af7dfe6975aa5106354615d8c691dce538447ac7d3bb5b5341934e30d0d

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

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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.

1000110000010000000000011000111101111000010000000000000000000000
0110001100000100000000000000000000000110001110001100000000000000
0000100011100011110111100011000001100001110011111111110111100011
000001100011110111111111

X-basis bitstring

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

0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000001000000000000
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).

0.633691
Global order parameters

Magnetization ⟨σz⟩

Mean longitudinal magnetization across the lattice.

-0.287037

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

0.046296

Ordering strength

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

0.115000

Transverse magnetization ⟨σx⟩

Mean X spin component.

-0.981481

Transverse magnetization ⟨σy⟩

Mean Y spin component.

-1.000000

Bloch-vector magnitude |⟨σ⟩|

√(⟨σx⟩² + ⟨σy⟩² + ⟨σz⟩²).

1.430278

Mean phase field ⟨φ⟩

Scalar mean of the phase field.

0.509646

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.

[0.2636, 0.2550, 0.2524, 0.2609, 0.2799, 0.3023]

Correlation length ξ

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

3.090420

Density variance

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

0.088312

Spin-lattice order diagnostic

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

0.299000
Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites.

4.300000

Domain fraction

Connected-cluster occupation fraction.

0.315000
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.

-1.531482 eV

NMC811 reference energy

Reference NMC811 energy (eV) for comparison.

-1.663062 eV

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

1.459456

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.

52.5%

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.

0.644000

Effective Li fraction (φ-derived)

Occupancy estimate derived from the phase readout field.

0.644000

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.

0.488872

Catalog lithium fraction

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

0.644000
Extended spin-lattice metrics

Spin-lattice order diagnostic

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

0.299000

Spin-lattice order components

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

{ "checkerboard": 0.523, "connected_component": 0.315, "entropy": 0.06 }

Polaron radius (nm)

Carrier-localization length in nanometers.

1.620000

Mean density ⟨ρ⟩

Scalar mean density from the observables block.

0.633691

Density variance (ρ)

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

0.088312
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=0.397424 · max=0.796950 · mean=0.509647

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=0.633691

Lattice shape

Simulation grid dimensions (sites).

6 × 6 × 6