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Fraction bucket
0.63
Lithium fraction (catalog)
0.634000
Effective occupancy (x)
0.634000
Li field estimate (lattice)
0.518824
State ID
402f0cd3c0ba6145
State SHA-256
402f0cd3c0ba61455e2b9aa5520d0ce94fcb8b69144bad279851d6b0bfaac6eb

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.

1000110000010000000000011000111101111000110000000000000000001000
0110001100000100000000000000000000000110001110001100000000000000
0000100011100011110111100011000001100001110011111111110111100011
000001100011110111111111

X-basis bitstring

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

0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000

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).

1.037876
Global order parameters

Magnetization ⟨σz⟩

Mean longitudinal magnetization across the lattice.

-0.268519

Staggered magnetization

Antiferromagnetic order parameter; signed sublattice difference.

0.027778

Ordering strength

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

0.107000

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).

1.439480

Mean phase field ⟨φ⟩

Scalar mean of the phase field.

0.493619

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.

[0.3442, 0.2857, 0.2433, 0.2774, 0.3951, 0.5340]

Correlation length ξ

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

3.373530

Density variance

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

0.329809

Spin-lattice order diagnostic

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

0.297000
Emergent quasi-particle structure

Polaron radius

Carrier-localization length, reported in lattice sites.

4.300000

Domain fraction

Connected-cluster occupation fraction.

0.324000
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.

-1.543619 eV

NMC811 reference energy

Reference NMC811 energy (eV) for comparison.

-1.700687 eV

Energy surrogate ⟨H⟩

Expectation value of the modeled Hamiltonian.

1.443645

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.

51.2%

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.

0.634000

Effective Li fraction (φ-derived)

Occupancy estimate derived from the phase readout field.

0.634000

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.

0.518824

Catalog lithium fraction

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

0.634000
Extended spin-lattice metrics

Spin-lattice order diagnostic

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

0.297000

Spin-lattice order components

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

{ "checkerboard": 0.514, "connected_component": 0.324, "entropy": 0.053 }

Polaron radius (nm)

Carrier-localization length in nanometers.

1.630000

Mean density ⟨ρ⟩

Scalar mean density from the observables block.

1.037876

Density variance (ρ)

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

0.329809
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=-0.122010 · max=1.190332 · mean=0.495488

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=1.037876

Lattice shape

Simulation grid dimensions (sites).

6 × 6 × 6