{"model": "Electromigration wear-out: Black's-law median lifetime MTTF = t_ref*(J_ref/J)^n*exp((Ea/k)(1/T-1/T_ref)), with Blech-length immortality and an inverted Jmax(T) current-density budget.", "inputs": {"wire_current_ma": 0.15, "wire_width_nm": 100.0, "wire_thickness_nm": 140.0, "temperature_c": 105.0, "wire_length_um": 50.0, "activation_energy_ev": 0.9, "current_exponent_n": 2.0, "target_lifetime_years": 10.0}, "outputs": {"current_density_ma_cm2": 1.0714, "cross_section_nm2": 14000.0, "mttf_years": 8.7111, "is_immortal": false, "meets_lifetime": false, "jmax_ma_cm2": 1.0, "j_headroom_percent": -7.14, "imax_ma": 0.14, "blech_length_um": 34.533, "blech_product_a_cm": 5357.1, "blech_immortal": false, "acceleration_factor": 1.148, "fit_rate": 13095.59, "temperature_k": 378.15, "dominant_component": "Black's-law wear-out (fails target)", "verdict": "Electromigration violation: median lifetime falls short of the target \u2014 widen the wire, split current across vias/parallel lines, or cool the metal."}, "profile": {"mttf_vs_j": [[0.02, 10000.0], [0.0236, 10000.0], [0.0279, 10000.0], [0.033, 10000.0], [0.0389, 10000.0], [0.046, 10000.0], [0.0543, 10000.0], [0.0641, 10000.0], [0.0758, 10000.0], [0.0895, 10000.0], [0.1057, 10000.0], [0.1248, 10000.0], [0.1474, 10000.0], [0.1741, 10000.0], [0.2057, 10000.0], [0.2429, 10000.0], [0.2869, 10000.0], [0.3389, 10000.0], [0.4003, 10000.0], [0.4728, 10000.0], [0.5584, 10000.0], [0.6596, 10000.0], [0.779, 16.4774], [0.9201, 11.8113], [1.0868, 8.4665], [1.2836, 6.0689], [1.5161, 4.3503], [1.7908, 3.1183], [2.1151, 2.2353], [2.4982, 1.6023], [2.9507, 1.1485], [3.4852, 0.8233], [4.1164, 0.5901], [4.862, 0.423], [5.7427, 0.3032], [6.7828, 0.2174], [8.0114, 0.1558], [9.4625, 0.1117], [11.1764, 0.0801], [13.2007, 0.0574], [15.5917, 0.0411], [18.4158, 0.0295], [21.7514, 0.0211], [25.6912, 0.0152], [30.3445, 0.0109], [35.8407, 0.0078], [42.3325, 0.0056], [50.0, 0.004]], "jmax_vs_temp": [[25.0, 40.6648], [28.7, 32.764], [32.4, 26.5376], [36.2, 21.6037], [39.9, 17.6735], [43.6, 14.5266], [47.3, 11.9946], [51.1, 9.9476], [54.8, 8.2851], [58.5, 6.9288], [62.2, 5.8176], [66.0, 4.9034], [69.7, 4.1482], [73.4, 3.522], [77.1, 3.0007], [80.9, 2.5652], [84.6, 2.2001], [88.3, 1.8929], [92.0, 1.6336], [95.7, 1.4141], [99.5, 1.2275], [103.2, 1.0686], [106.9, 0.9328], [110.6, 0.8164], [114.4, 0.7163], [118.1, 0.6301], [121.8, 0.5556], [125.5, 0.4911], [129.3, 0.435], [133.0, 0.3862], [136.7, 0.3436], [140.4, 0.3064], [144.1, 0.2738], [147.9, 0.2451], [151.6, 0.2198], [155.3, 0.1975], [159.0, 0.1779], [162.8, 0.1604], [166.5, 0.1449], [170.2, 0.1312], [173.9, 0.1189], [177.7, 0.108], [181.4, 0.0982], [185.1, 0.0895], [188.8, 0.0816], [192.6, 0.0746], [196.3, 0.0682], [200.0, 0.0625]], "j_ma_cm2": 1.0714, "jmax_ma_cm2": 1.0, "target_years": 10.0, "mttf_years": 8.7111, "temperature_c": 105.0, "blech_length_um": 34.533, "wire_length_um": 50.0}, "steps": 96, "node": "ip-172-26-4-148", "compute_ms": 0.2}