Record
106.89994(1)
E/N (Ha)
CCSDT (initiator stochastic coupled cluster at the infinite-population limit; extrapolated: 1/M → 0 (complete basis))
10.1063/1.4942173 · lowest unflagged energy published, an extrapolation, not a bound
(rules §6)
The Hamiltonian
H = −½ ∑i ∇i2 + ∑i<j vE(ri − rj) + Nξ/2
Homogeneous electron gas in 3D: N↑ = 7, N↓ = 7 in a periodic sc cell at rs = 0.1 bohr, Γ point. vE 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
- 0.1
- twist
- Gamma
- energies
- 3
Stored as a total energy in Hartree (rules §12); quoted here as
E/N (Ha), the energy per electron
(how the conversion works).
How these numbers were read
Where each number below was read, and how it was checked.
106.89994(1) — CCSDT (initiator stochastic coupled cluster at the...
Checked 2026-10-19 · source text of arXiv:1511.05752 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 = -0.6659(2) (total, Ha)
Table II, row rs=0.1, column E_CCSDT; sources/1511.05752.txt line 602; printed correlation energy -0.6659(2) Ha for 14 electrons; E = E_HF + E_c with E_HF = 106.947501386 Ha per electron (QMBL, checks/heg-hf/hf.mjs); version read: arXiv text, Table II; AIP copy not read; unit and cell fixed by its FCIQMC column, which reprints arXiv:1201.4691's complete-basis values (-0.5969, -0.5325, -0.4447) for 14 electrons in a simple cubic cell | Correlation energy E_c = E - E_HF, total for the cell, Hartree; 14, 38 or 54 electrons in a simple cubic cell at the Gamma point, a closed shell, so E_HF is the unique plane-wave determinant's. Stored E = E_HF + E_c with E_HF from QMBL (checks/heg-hf/hf.mjs; RULES.md 12.3, 2026-10-19).
106.900080(7) — CCSD (initiator stochastic coupled cluster at the...
Checked 2026-10-19 · source text of arXiv:1511.05752 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 = -0.6639(1) (total, Ha)
Table II, row rs=0.1, column E_CCSD; sources/1511.05752.txt line 602; printed correlation energy -0.6639(1) Ha for 14 electrons; E = E_HF + E_c with E_HF = 106.947501386 Ha per electron (QMBL, checks/heg-hf/hf.mjs); version read: arXiv text, Table II; AIP copy not read; unit and cell fixed by its FCIQMC column, which reprints arXiv:1201.4691's complete-basis values (-0.5969, -0.5325, -0.4447) for 14 electrons in a simple cubic cell | Correlation energy E_c = E - E_HF, total for the cell, Hartree; 14, 38 or 54 electrons in a simple cubic cell at the Gamma point, a closed shell, so E_HF is the unique plane-wave determinant's. Stored E = E_HF + E_c with E_HF from QMBL (checks/heg-hf/hf.mjs; RULES.md 12.3, 2026-10-19).
106.9001442 — 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 = -0.663
Table III, rs=0.1, column CCD; sources/1310.6806.txt line 484; printed in Ha, total; printed correlation energy -0.663, E = E_HF + E_c with E_HF = 106.947501386 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.