files / problems / simon-ionization-excess / compute / q1 / certs / delta_e.json
{
"label": "HEURISTIC",
"status": "residue",
"disclaimer": "HEURISTIC. \u0394E is built from the HF table, not from the true Schr\u00f6dinger energies. Checking 1984 10(a) on this range does not prove monotonicity. Nothing here is a bound on N0.",
"inequality": "\u0394E(N-1,Z) >= \u0394E(N,Z) (Simon 1984 10(a))",
"definition": "\u0394E(N,Z) = E(N-1,Z) - E(N,Z)",
"source": "certs/hf_table.json",
"blocks": {
"helium_like_slater": {
"label": "HEURISTIC",
"method": "1-parameter 1s Slater; E(1)=-Z^2/2, E(2)=-(Z-5/16)^2",
"summary": {
"label": "HEURISTIC",
"method": "1-parameter 1s Slater; E(1)=-Z^2/2, E(2)=-(Z-5/16)^2",
"n_delta_values": 20,
"n_ten_a_pairs": 10,
"n_ten_a_holds": 10,
"n_ten_a_fails": 0,
"monotone_on_computed_range": true,
"ten_a_failures": [],
"heuristic_binding_pairs": [
{
"Z": 1,
"N": 1,
"delta_E": 0.5
},
{
"Z": 2,
"N": 1,
"delta_E": 2.0
},
{
"Z": 2,
"N": 2,
"delta_E": 0.84765625
},
{
"Z": 3,
"N": 1,
"delta_E": 4.5
},
{
"Z": 3,
"N": 2,
"delta_E": 2.72265625
},
{
"Z": 4,
"N": 1,
"delta_E": 8.0
},
{
"Z": 4,
"N": 2,
"delta_E": 5.59765625
},
{
"Z": 5,
"N": 1,
"delta_E": 12.5
},
{
"Z": 5,
"N": 2,
"delta_E": 9.47265625
},
{
"Z": 6,
"N": 1,
"delta_E": 18.0
},
{
"Z": 6,
"N": 2,
"delta_E": 14.34765625
},
{
"Z": 7,
"N": 1,
"delta_E": 24.5
},
{
"Z": 7,
"N": 2,
"delta_E": 20.22265625
},
{
"Z": 8,
"N": 1,
"delta_E": 32.0
},
{
"Z": 8,
"N": 2,
"delta_E": 27.09765625
},
{
"Z": 9,
"N": 1,
"delta_E": 40.5
},
{
"Z": 9,
"N": 2,
"delta_E": 34.97265625
},
{
"Z": 10,
"N": 1,
"delta_E": 50.0
},
{
"Z": 10,
"N": 2,
"delta_E": 43.84765625
}
],
"disclaimer": "HEURISTIC. A clean table is not a proof of monotonicity. A failed pair is not a counterexample to 10(a): the energies are approximate HF numbers, not E(N,Z)."
},
"rows": [
{
"label": "HEURISTIC",
"Z": 1,
"N": 1,
"E_N": -0.5,
"E_N-1": 0.0,
"delta_E": 0.5,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 1,
"N": 2,
"E_N": -0.47265625,
"E_N-1": -0.5,
"delta_E": -0.02734375,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 0.5,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 2,
"N": 1,
"E_N": -2.0,
"E_N-1": 0.0,
"delta_E": 2.0,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 2,
"N": 2,
"E_N": -2.84765625,
"E_N-1": -2.0,
"delta_E": 0.84765625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 2.0,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 3,
"N": 1,
"E_N": -4.5,
"E_N-1": 0.0,
"delta_E": 4.5,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 3,
"N": 2,
"E_N": -7.22265625,
"E_N-1": -4.5,
"delta_E": 2.72265625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 4.5,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 1,
"E_N": -8.0,
"E_N-1": 0.0,
"delta_E": 8.0,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 2,
"E_N": -13.59765625,
"E_N-1": -8.0,
"delta_E": 5.59765625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 8.0,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 1,
"E_N": -12.5,
"E_N-1": 0.0,
"delta_E": 12.5,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 2,
"E_N": -21.97265625,
"E_N-1": -12.5,
"delta_E": 9.47265625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 12.5,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 1,
"E_N": -18.0,
"E_N-1": 0.0,
"delta_E": 18.0,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 2,
"E_N": -32.34765625,
"E_N-1": -18.0,
"delta_E": 14.34765625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 18.0,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 1,
"E_N": -24.5,
"E_N-1": 0.0,
"delta_E": 24.5,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 2,
"E_N": -44.72265625,
"E_N-1": -24.5,
"delta_E": 20.22265625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 24.5,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 1,
"E_N": -32.0,
"E_N-1": 0.0,
"delta_E": 32.0,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 2,
"E_N": -59.09765625,
"E_N-1": -32.0,
"delta_E": 27.09765625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 32.0,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 1,
"E_N": -40.5,
"E_N-1": 0.0,
"delta_E": 40.5,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 2,
"E_N": -75.47265625,
"E_N-1": -40.5,
"delta_E": 34.97265625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 40.5,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 1,
"E_N": -50.0,
"E_N-1": 0.0,
"delta_E": 50.0,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 2,
"E_N": -93.84765625,
"E_N-1": -50.0,
"delta_E": 43.84765625,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 50.0,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
}
]
},
"uhf_sp": {
"label": "HEURISTIC",
"method": "UHF, even-tempered same-centre Gaussians with 1s/2s/2p scales, analytic s and Cartesian p integrals",
"summary": {
"label": "HEURISTIC",
"method": "UHF, even-tempered same-centre Gaussians with 1s/2s/2p scales, analytic s and Cartesian p integrals",
"n_delta_values": 73,
"n_ten_a_pairs": 63,
"n_ten_a_holds": 63,
"n_ten_a_fails": 0,
"monotone_on_computed_range": true,
"ten_a_failures": [],
"heuristic_binding_pairs": [
{
"Z": 1,
"N": 1,
"delta_E": 0.49976897174005447
},
{
"Z": 2,
"N": 1,
"delta_E": 1.99906612590859
},
{
"Z": 2,
"N": 2,
"delta_E": 0.8612461235599229
},
{
"Z": 3,
"N": 1,
"delta_E": 4.4978792912973935
},
{
"Z": 3,
"N": 2,
"delta_E": 2.7350456494020596
},
{
"Z": 3,
"N": 3,
"delta_E": 0.1956820575010525
},
{
"Z": 4,
"N": 1,
"delta_E": 7.996217257306082
},
{
"Z": 4,
"N": 2,
"delta_E": 5.608549181605596
},
{
"Z": 4,
"N": 3,
"delta_E": 0.6501454854212092
},
{
"Z": 4,
"N": 4,
"delta_E": 0.2891864603111003
},
{
"Z": 5,
"N": 1,
"delta_E": 12.494080780282072
},
{
"Z": 5,
"N": 2,
"delta_E": 9.481609144756025
},
{
"Z": 5,
"N": 3,
"delta_E": 1.3605706205489767
},
{
"Z": 5,
"N": 4,
"delta_E": 0.8095378692755766
},
{
"Z": 5,
"N": 5,
"delta_E": 0.27784228784508613
},
{
"Z": 6,
"N": 1,
"delta_E": 17.99147001201404
},
{
"Z": 6,
"N": 2,
"delta_E": 14.354215532036456
},
{
"Z": 6,
"N": 3,
"delta_E": 2.3304785873434
},
{
"Z": 6,
"N": 4,
"delta_E": 1.601899249204756
},
{
"Z": 6,
"N": 5,
"delta_E": 0.8380716475268741
},
{
"Z": 6,
"N": 6,
"delta_E": 0.35297901272167564
},
{
"Z": 7,
"N": 1,
"delta_E": 24.48838496692747
},
{
"Z": 7,
"N": 2,
"delta_E": 20.22636040137283
},
{
"Z": 7,
"N": 3,
"delta_E": 3.5544098704931457
},
{
"Z": 7,
"N": 4,
"delta_E": 2.665482408857798
},
{
"Z": 7,
"N": 5,
"delta_E": 1.670194957207869
},
{
"Z": 7,
"N": 6,
"delta_E": 0.9969517914701811
},
{
"Z": 7,
"N": 7,
"delta_E": 0.43218997897186284
},
{
"Z": 8,
"N": 1,
"delta_E": 31.98482562462701
},
{
"Z": 8,
"N": 2,
"delta_E": 27.098039455200475
},
{
"Z": 8,
"N": 3,
"delta_E": 5.029771287170604
},
{
"Z": 8,
"N": 4,
"delta_E": 3.987639111255163
},
{
"Z": 8,
"N": 5,
"delta_E": 2.7676159000064615
},
{
"Z": 8,
"N": 6,
"delta_E": 1.9198561345045846
},
{
"Z": 8,
"N": 7,
"delta_E": 1.1616795835544451
},
{
"Z": 8,
"N": 8,
"delta_E": 0.25475170367259636
},
{
"Z": 9,
"N": 1,
"delta_E": 40.4807919584852
},
{
"Z": 9,
"N": 2,
"delta_E": 34.96924877760047
},
{
"Z": 9,
"N": 3,
"delta_E": 6.755583048395124
},
{
"Z": 9,
"N": 4,
"delta_E": 5.562826950771864
},
{
"Z": 9,
"N": 5,
"delta_E": 4.121671075290848
},
{
"Z": 9,
"N": 6,
"delta_E": 3.1054493434578347
},
{
"Z": 9,
"N": 7,
"delta_E": 2.176593646319901
},
{
"Z": 9,
"N": 8,
"delta_E": 1.0451316838770026
},
{
"Z": 9,
"N": 9,
"delta_E": 0.3091375886487526
},
{
"Z": 10,
"N": 1,
"delta_E": 49.97628394392693
},
{
"Z": 10,
"N": 2,
"delta_E": 43.839897307055125
},
{
"Z": 10,
"N": 3,
"delta_E": 8.731551883709159
},
{
"Z": 10,
"N": 4,
"delta_E": 7.389008442416824
},
{
"Z": 10,
"N": 5,
"delta_E": 5.728722456126704
},
{
"Z": 10,
"N": 6,
"delta_E": 4.545794125238245
},
{
"Z": 10,
"N": 7,
"delta_E": 3.4517679087726094
},
{
"Z": 10,
"N": 8,
"delta_E": 2.110571272233088
},
{
"Z": 10,
"N": 9,
"delta_E": 1.2016680796805304
},
{
"Z": 10,
"N": 10,
"delta_E": 0.37215570281442467
}
],
"disclaimer": "HEURISTIC. A clean table is not a proof of monotonicity. A failed pair is not a counterexample to 10(a): the energies are approximate HF numbers, not E(N,Z)."
},
"rows": [
{
"label": "HEURISTIC",
"Z": 1,
"N": 1,
"E_N": -0.49976897174005447,
"E_N-1": 0.0,
"delta_E": 0.49976897174005447,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 1,
"N": 2,
"E_N": -0.4929897651257781,
"E_N-1": -0.49976897174005447,
"delta_E": -0.00677920661427639,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 0.49976897174005447,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 1,
"N": 3,
"E_N": -0.3778956123021445,
"E_N-1": -0.4929897651257781,
"delta_E": -0.11509415282363356,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": -0.00677920661427639,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 2,
"N": 1,
"E_N": -1.99906612590859,
"E_N-1": 0.0,
"delta_E": 1.99906612590859,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 2,
"N": 2,
"E_N": -2.860312249468513,
"E_N-1": -1.99906612590859,
"delta_E": 0.8612461235599229,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 1.99906612590859,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 2,
"N": 3,
"E_N": -2.842836755657369,
"E_N-1": -2.860312249468513,
"delta_E": -0.017475493811144105,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 0.8612461235599229,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 2,
"N": 4,
"E_N": -2.7325278980159213,
"E_N-1": -2.842836755657369,
"delta_E": -0.11030885764144749,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 3,
"delta_E_N-1": -0.017475493811144105,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 3,
"N": 1,
"E_N": -4.4978792912973935,
"E_N-1": 0.0,
"delta_E": 4.4978792912973935,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 3,
"N": 2,
"E_N": -7.232924940699453,
"E_N-1": -4.4978792912973935,
"delta_E": 2.7350456494020596,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 4.4978792912973935,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 3,
"N": 3,
"E_N": -7.428606998200506,
"E_N-1": -7.232924940699453,
"delta_E": 0.1956820575010525,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 2.7350456494020596,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 1,
"E_N": -7.996217257306082,
"E_N-1": 0.0,
"delta_E": 7.996217257306082,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 2,
"E_N": -13.604766438911678,
"E_N-1": -7.996217257306082,
"delta_E": 5.608549181605596,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 7.996217257306082,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 3,
"E_N": -14.254911924332887,
"E_N-1": -13.604766438911678,
"delta_E": 0.6501454854212092,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 5.608549181605596,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 4,
"E_N": -14.544098384643988,
"E_N-1": -14.254911924332887,
"delta_E": 0.2891864603111003,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 3,
"delta_E_N-1": 0.6501454854212092,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 5,
"E_N": -14.524556394019793,
"E_N-1": -14.544098384643988,
"delta_E": -0.019541990624194483,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 4,
"delta_E_N-1": 0.2891864603111003,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 6,
"E_N": -14.40927653781311,
"E_N-1": -14.524556394019793,
"delta_E": -0.11527985620668346,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 5,
"delta_E_N-1": -0.019541990624194483,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 1,
"E_N": -12.494080780282072,
"E_N-1": 0.0,
"delta_E": 12.494080780282072,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 2,
"E_N": -21.975689925038097,
"E_N-1": -12.494080780282072,
"delta_E": 9.481609144756025,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 12.494080780282072,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 3,
"E_N": -23.336260545587074,
"E_N-1": -21.975689925038097,
"delta_E": 1.3605706205489767,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 9.481609144756025,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 4,
"E_N": -24.14579841486265,
"E_N-1": -23.336260545587074,
"delta_E": 0.8095378692755766,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 3,
"delta_E_N-1": 1.3605706205489767,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 5,
"E_N": -24.423640702707736,
"E_N-1": -24.14579841486265,
"delta_E": 0.27784228784508613,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 4,
"delta_E_N-1": 0.8095378692755766,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 6,
"E_N": -24.404063390294443,
"E_N-1": -24.423640702707736,
"delta_E": -0.019577312413293413,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 5,
"delta_E_N-1": 0.27784228784508613,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 7,
"E_N": -24.299388968632137,
"E_N-1": -24.404063390294443,
"delta_E": -0.10467442166230612,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 6,
"delta_E_N-1": -0.019577312413293413,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 1,
"E_N": -17.99147001201404,
"E_N-1": 0.0,
"delta_E": 17.99147001201404,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 2,
"E_N": -32.3456855440505,
"E_N-1": -17.99147001201404,
"delta_E": 14.354215532036456,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 17.99147001201404,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 3,
"E_N": -34.6761641313939,
"E_N-1": -32.3456855440505,
"delta_E": 2.3304785873434,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 14.354215532036456,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 4,
"E_N": -36.27806338059865,
"E_N-1": -34.6761641313939,
"delta_E": 1.601899249204756,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 3,
"delta_E_N-1": 2.3304785873434,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 5,
"E_N": -37.11613502812553,
"E_N-1": -36.27806338059865,
"delta_E": 0.8380716475268741,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 4,
"delta_E_N-1": 1.601899249204756,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 6,
"E_N": -37.4691140408472,
"E_N-1": -37.11613502812553,
"delta_E": 0.35297901272167564,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 5,
"delta_E_N-1": 0.8380716475268741,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 7,
"E_N": -37.45136462330113,
"E_N-1": -37.4691140408472,
"delta_E": -0.017749417546070845,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 6,
"delta_E_N-1": 0.35297901272167564,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 8,
"E_N": -37.334782583066044,
"E_N-1": -37.45136462330113,
"delta_E": -0.11658204023508745,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 7,
"delta_E_N-1": -0.017749417546070845,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 1,
"E_N": -24.48838496692747,
"E_N-1": 0.0,
"delta_E": 24.48838496692747,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 2,
"E_N": -44.7147453683003,
"E_N-1": -24.48838496692747,
"delta_E": 20.22636040137283,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 24.48838496692747,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 3,
"E_N": -48.269155238793445,
"E_N-1": -44.7147453683003,
"delta_E": 3.5544098704931457,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 20.22636040137283,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 4,
"E_N": -50.93463764765124,
"E_N-1": -48.269155238793445,
"delta_E": 2.665482408857798,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 3,
"delta_E_N-1": 3.5544098704931457,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 5,
"E_N": -52.60483260485911,
"E_N-1": -50.93463764765124,
"delta_E": 1.670194957207869,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 4,
"delta_E_N-1": 2.665482408857798,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 6,
"E_N": -53.60178439632929,
"E_N-1": -52.60483260485911,
"delta_E": 0.9969517914701811,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 5,
"delta_E_N-1": 1.670194957207869,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 7,
"E_N": -54.033974375301156,
"E_N-1": -53.60178439632929,
"delta_E": 0.43218997897186284,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 6,
"delta_E_N-1": 0.9969517914701811,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 8,
"E_N": -54.015035976707544,
"E_N-1": -54.033974375301156,
"delta_E": -0.018938398593611794,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 7,
"delta_E_N-1": 0.43218997897186284,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 9,
"E_N": -53.895008283822676,
"E_N-1": -54.015035976707544,
"delta_E": -0.12002769288486803,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 8,
"delta_E_N-1": -0.018938398593611794,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 1,
"E_N": -31.98482562462701,
"E_N-1": 0.0,
"delta_E": 31.98482562462701,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 2,
"E_N": -59.082865079827485,
"E_N-1": -31.98482562462701,
"delta_E": 27.098039455200475,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 31.98482562462701,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 3,
"E_N": -64.11263636699809,
"E_N-1": -59.082865079827485,
"delta_E": 5.029771287170604,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 27.098039455200475,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 4,
"E_N": -68.10027547825325,
"E_N-1": -64.11263636699809,
"delta_E": 3.987639111255163,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 3,
"delta_E_N-1": 5.029771287170604,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 5,
"E_N": -70.86789137825971,
"E_N-1": -68.10027547825325,
"delta_E": 2.7676159000064615,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 4,
"delta_E_N-1": 3.987639111255163,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 6,
"E_N": -72.7877475127643,
"E_N-1": -70.86789137825971,
"delta_E": 1.9198561345045846,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 5,
"delta_E_N-1": 2.7676159000064615,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 7,
"E_N": -73.94942709631874,
"E_N-1": -72.7877475127643,
"delta_E": 1.1616795835544451,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 6,
"delta_E_N-1": 1.9198561345045846,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 8,
"E_N": -74.20417879999134,
"E_N-1": -73.94942709631874,
"delta_E": 0.25475170367259636,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 7,
"delta_E_N-1": 1.1616795835544451,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 9,
"E_N": -74.18749776895359,
"E_N-1": -74.20417879999134,
"delta_E": -0.01668103103774854,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 8,
"delta_E_N-1": 0.25475170367259636,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 10,
"E_N": -74.06674655715341,
"E_N-1": -74.18749776895359,
"delta_E": -0.120751211800183,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 9,
"delta_E_N-1": -0.01668103103774854,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 1,
"E_N": -40.4807919584852,
"E_N-1": 0.0,
"delta_E": 40.4807919584852,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 2,
"E_N": -75.45004073608567,
"E_N-1": -40.4807919584852,
"delta_E": 34.96924877760047,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 40.4807919584852,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 3,
"E_N": -82.20562378448079,
"E_N-1": -75.45004073608567,
"delta_E": 6.755583048395124,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 34.96924877760047,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 4,
"E_N": -87.76845073525266,
"E_N-1": -82.20562378448079,
"delta_E": 5.562826950771864,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 3,
"delta_E_N-1": 6.755583048395124,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 5,
"E_N": -91.8901218105435,
"E_N-1": -87.76845073525266,
"delta_E": 4.121671075290848,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 4,
"delta_E_N-1": 5.562826950771864,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 6,
"E_N": -94.99557115400134,
"E_N-1": -91.8901218105435,
"delta_E": 3.1054493434578347,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 5,
"delta_E_N-1": 4.121671075290848,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 7,
"E_N": -97.17216480032124,
"E_N-1": -94.99557115400134,
"delta_E": 2.176593646319901,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 6,
"delta_E_N-1": 3.1054493434578347,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 8,
"E_N": -98.21729648419824,
"E_N-1": -97.17216480032124,
"delta_E": 1.0451316838770026,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 7,
"delta_E_N-1": 2.176593646319901,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 9,
"E_N": -98.526434072847,
"E_N-1": -98.21729648419824,
"delta_E": 0.3091375886487526,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 8,
"delta_E_N-1": 1.0451316838770026,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 10,
"E_N": -98.51017996447082,
"E_N-1": -98.526434072847,
"delta_E": -0.016254108376173804,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 9,
"delta_E_N-1": 0.3091375886487526,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 11,
"E_N": -98.39499823683059,
"E_N-1": -98.51017996447082,
"delta_E": -0.11518172764023404,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 10,
"delta_E_N-1": -0.016254108376173804,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 1,
"E_N": -49.97628394392693,
"E_N-1": 0.0,
"delta_E": 49.97628394392693,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 2,
"E_N": -93.81618125098205,
"E_N-1": -49.97628394392693,
"delta_E": 43.839897307055125,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 49.97628394392693,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 3,
"E_N": -102.54773313469121,
"E_N-1": -93.81618125098205,
"delta_E": 8.731551883709159,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 2,
"delta_E_N-1": 43.839897307055125,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 4,
"E_N": -109.93674157710804,
"E_N-1": -102.54773313469121,
"delta_E": 7.389008442416824,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 3,
"delta_E_N-1": 8.731551883709159,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 5,
"E_N": -115.66546403323474,
"E_N-1": -109.93674157710804,
"delta_E": 5.728722456126704,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 4,
"delta_E_N-1": 7.389008442416824,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 6,
"E_N": -120.21125815847299,
"E_N-1": -115.66546403323474,
"delta_E": 4.545794125238245,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 5,
"delta_E_N-1": 5.728722456126704,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 7,
"E_N": -123.6630260672456,
"E_N-1": -120.21125815847299,
"delta_E": 3.4517679087726094,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 6,
"delta_E_N-1": 4.545794125238245,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 8,
"E_N": -125.77359733947868,
"E_N-1": -123.6630260672456,
"delta_E": 2.110571272233088,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 7,
"delta_E_N-1": 3.4517679087726094,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 9,
"E_N": -126.97526541915921,
"E_N-1": -125.77359733947868,
"delta_E": 1.2016680796805304,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 8,
"delta_E_N-1": 2.110571272233088,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 10,
"E_N": -127.34742112197364,
"E_N-1": -126.97526541915921,
"delta_E": 0.37215570281442467,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 9,
"delta_E_N-1": 1.2016680796805304,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 11,
"E_N": -127.33121249098511,
"E_N-1": -127.34742112197364,
"delta_E": -0.01620863098852965,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 10,
"delta_E_N-1": 0.37215570281442467,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 12,
"E_N": -127.21566747486054,
"E_N-1": -127.33121249098511,
"delta_E": -0.11554501612457102,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 11,
"delta_E_N-1": -0.01620863098852965,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
}
]
},
"uhf_s_n12": {
"label": "HEURISTIC",
"method": "UHF, even-tempered s-Gaussians only, N=0,1,2",
"summary": {
"label": "HEURISTIC",
"method": "UHF, even-tempered s-Gaussians only, N=0,1,2",
"n_delta_values": 20,
"n_ten_a_pairs": 10,
"n_ten_a_holds": 10,
"n_ten_a_fails": 0,
"monotone_on_computed_range": true,
"ten_a_failures": [],
"heuristic_binding_pairs": [
{
"Z": 1,
"N": 1,
"delta_E": 0.49958157070431414
},
{
"Z": 2,
"N": 1,
"delta_E": 1.9983249283364415
},
{
"Z": 2,
"N": 2,
"delta_E": 0.8609705194333868
},
{
"Z": 3,
"N": 1,
"delta_E": 4.496230754401052
},
{
"Z": 3,
"N": 2,
"delta_E": 2.7341717894849307
},
{
"Z": 4,
"N": 1,
"delta_E": 7.993298937441699
},
{
"Z": 4,
"N": 2,
"delta_E": 5.6066916225473395
},
{
"Z": 5,
"N": 1,
"delta_E": 12.489529472868856
},
{
"Z": 5,
"N": 2,
"delta_E": 9.47842291307424
},
{
"Z": 6,
"N": 1,
"delta_E": 17.98492235976823
},
{
"Z": 6,
"N": 2,
"delta_E": 14.349338720750698
},
{
"Z": 7,
"N": 1,
"delta_E": 24.47947759707263
},
{
"Z": 7,
"N": 2,
"delta_E": 20.219428901728335
},
{
"Z": 8,
"N": 1,
"delta_E": 31.973195183841387
},
{
"Z": 8,
"N": 2,
"delta_E": 27.08868871084263
},
{
"Z": 9,
"N": 1,
"delta_E": 40.46607511935154
},
{
"Z": 9,
"N": 2,
"delta_E": 34.957115615914624
},
{
"Z": 10,
"N": 1,
"delta_E": 49.9581174030705
},
{
"Z": 10,
"N": 2,
"delta_E": 43.824708138673955
}
],
"disclaimer": "HEURISTIC. A clean table is not a proof of monotonicity. A failed pair is not a counterexample to 10(a): the energies are approximate HF numbers, not E(N,Z)."
},
"rows": [
{
"label": "HEURISTIC",
"Z": 1,
"N": 1,
"E_N": -0.49958157070431414,
"E_N-1": 0.0,
"delta_E": 0.49958157070431414,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 1,
"N": 2,
"E_N": -0.487521032973462,
"E_N-1": -0.49958157070431414,
"delta_E": -0.012060537730852139,
"heuristic_binds": false,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 0.49958157070431414,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 2,
"N": 1,
"E_N": -1.9983249283364415,
"E_N-1": 0.0,
"delta_E": 1.9983249283364415,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 2,
"N": 2,
"E_N": -2.8592954477698282,
"E_N-1": -1.9983249283364415,
"delta_E": 0.8609705194333868,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 1.9983249283364415,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 3,
"N": 1,
"E_N": -4.496230754401052,
"E_N-1": 0.0,
"delta_E": 4.496230754401052,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 3,
"N": 2,
"E_N": -7.230402543885982,
"E_N-1": -4.496230754401052,
"delta_E": 2.7341717894849307,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 4.496230754401052,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 1,
"E_N": -7.993298937441699,
"E_N-1": 0.0,
"delta_E": 7.993298937441699,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 4,
"N": 2,
"E_N": -13.599990559989038,
"E_N-1": -7.993298937441699,
"delta_E": 5.6066916225473395,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 7.993298937441699,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 1,
"E_N": -12.489529472868856,
"E_N-1": 0.0,
"delta_E": 12.489529472868856,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 5,
"N": 2,
"E_N": -21.967952385943097,
"E_N-1": -12.489529472868856,
"delta_E": 9.47842291307424,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 12.489529472868856,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 1,
"E_N": -17.98492235976823,
"E_N-1": 0.0,
"delta_E": 17.98492235976823,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 6,
"N": 2,
"E_N": -32.33426108051893,
"E_N-1": -17.98492235976823,
"delta_E": 14.349338720750698,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 17.98492235976823,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 1,
"E_N": -24.47947759707263,
"E_N-1": 0.0,
"delta_E": 24.47947759707263,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 7,
"N": 2,
"E_N": -44.698906498800966,
"E_N-1": -24.47947759707263,
"delta_E": 20.219428901728335,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 24.47947759707263,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 1,
"E_N": -31.973195183841387,
"E_N-1": 0.0,
"delta_E": 31.973195183841387,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 8,
"N": 2,
"E_N": -59.061883894684016,
"E_N-1": -31.973195183841387,
"delta_E": 27.08868871084263,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 31.973195183841387,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 1,
"E_N": -40.46607511935154,
"E_N-1": 0.0,
"delta_E": 40.46607511935154,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 9,
"N": 2,
"E_N": -75.42319073526616,
"E_N-1": -40.46607511935154,
"delta_E": 34.957115615914624,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 40.46607511935154,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 1,
"E_N": -49.9581174030705,
"E_N-1": 0.0,
"delta_E": 49.9581174030705,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added."
},
{
"label": "HEURISTIC",
"Z": 10,
"N": 2,
"E_N": -93.78282554174446,
"E_N-1": -49.9581174030705,
"delta_E": 43.824708138673955,
"heuristic_binds": true,
"note": "\u0394E(N,Z)=E(N-1,Z)-E(N,Z). HEURISTIC. Positive means the table energy dropped when the N-th electron was added.",
"ten_a_compared_to": 1,
"delta_E_N-1": 49.9581174030705,
"ten_a_holds_on_table": true,
"ten_a_note": "HEURISTIC check of \u0394E(N-1,Z) >= \u0394E(N,Z) on this pair. Does not prove 1984 10(a)."
}
]
}
}
}