Electron gas, 3D sc cell, N = 14, rs = 7, unpolarized

Record

-0.0651069 E/N (Ha)

CCD (full CCD (driver, ladders, rings, crossed-rings, mosaics); equals CCSD in the HEG; extrapolated: 1/M → 0 (complete basis))

10.1063/1.4867783 · lowest unflagged energy published, an extrapolation, not a bound (rules §6)

The Hamiltonian

H = −½ ∑_i ∇_i² + ∑_i<j v_E(r_i − r_j) + Nξ/2

Homogeneous electron gas in 3D: N_↑ = 7, N_↓ = 7 in a periodic sc cell at r_s = 7 bohr, Γ point. v_E is the Ewald-summed Coulomb interaction with a uniform neutralizing background, ξ the Madelung term. Hartree atomic units; the energy per electron is E/N.

cell: sc
electrons: 14
boundary: periodic
N_up: 7
N_dn: 7
rs: 7
twist: Gamma
energies: 1

Stored as a total energy in Hartree (rules §12); quoted here as E/N (Ha), the energy per electron (how the conversion works).

Every published energy

Grouped by what the number is. Where the instance is not solved, the lowest unflagged energy of any group is the record.

Extrapolations (1)

Zero-variance, bond-dimension or Trotter-error extrapolations. Not a bound: no ansatz reached the number itself. Like any unflagged energy, one holds the record where it is the lowest on an unsolved instance.

E/N (Ha)	distance to record	σ	Var(E)	V-score	method	source	year
-0.0651069record	0	n/a	n/a	n/a	CCD (full CCD (driver, ladders, rings, crossed-rings, mosaics); equals CCSD in the HEG; extrapolated: 1/M → 0 (complete basis)) peer reviewed	10.1063/1.4867783	n/a

How these numbers were read

Where each number below was read, and how it was checked.

-0.0651069 — CCD (full CCD (driver, ladders, rings, crossed-rings...

Checked 2026-10-19 · source text of arXiv:1310.6806 read locally (arXiv HTML or pypdf layout text); value copied from the harvested cell and the text, no LLM transcription of numbers; single reading

Reported as. E_c = -0.203

Table III, rs=7.0, column CCD; sources/1310.6806.txt line 499; printed in Ha, total; printed correlation energy -0.203, E = E_HF + E_c with E_HF = -0.0506068756073 Ha per electron (QMBL, checks/heg-hf/hf.mjs); version read: arXiv text in sources/; journal copy not read | Sec. II (txt line 64-81): HF eigenvalues with the zero-momentum integral given by 'vM, the Madelung constant ... defined uniquely for a cell geometry and box length, and here we calculate it to be vM L ~ 2.8372'. No Ewald-sum statement beyond that. The paper prints correlation energies only, which do not depend on the Madelung term, and no Hartree-Fock energy.

Coverage

No row here carries a publication year.

This instance as data

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