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Fraction bucket
0.68
Lithium fraction (catalog)
0.681000
Effective occupancy (x)
0.681000
Li field estimate (lattice)
0.508465
State ID
840679795418c294
State SHA-256
840679795418c294ad9a77c1c9e85dc7fc41f082df68feaac56a26cb1f924f2a

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
0110001100000000000000000000000000000000000110001100000000000000
0000100001100011110111100011000000100001110011110111110111100011
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).

0.574785
Global order parameters

Magnetization ⟨σz⟩

Mean longitudinal magnetization across the lattice.

-0.361111

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

0.120370

Ordering strength

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

0.144000

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).

1.446964

Mean phase field ⟨φ⟩

Scalar mean of the phase field.

0.500308

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.

[0.2535, 0.2461, 0.2438, 0.2512, 0.2676, 0.2866]

Correlation length ξ

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

3.081011

Density variance

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

0.065110

Spin-lattice order diagnostic

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

0.300000
Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites.

4.100000

Domain fraction

Connected-cluster occupation fraction.

0.245000
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.

-0.852213 eV

NMC811 reference energy

Reference NMC811 energy (eV) for comparison.

-1.523886 eV

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

1.449897

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.

57.5%

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.

0.681000

Effective Li fraction (φ-derived)

Occupancy estimate derived from the phase readout field.

0.681000

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.

0.508465

Catalog lithium fraction

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

0.681000
Extended spin-lattice metrics

Spin-lattice order diagnostic

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

0.300000

Spin-lattice order components

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

{ "checkerboard": 0.56, "connected_component": 0.245, "entropy": 0.096 }

Polaron radius (nm)

Carrier-localization length in nanometers.

1.560000

Mean density ⟨ρ⟩

Scalar mean density from the observables block.

0.574785

Density variance (ρ)

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

0.065110
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=0.395926 · max=0.813645 · mean=0.500308

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=0.574785

Lattice shape

Simulation grid dimensions (sites).

6 × 6 × 6