{ "purpose": "mathematical and dimensional consistency only; no experimental data", "layer_sum_um": 1600, "taxel_count": 256, "last_center_mm": 17.5, "active_field_limits_mm": [ 2, 18 ], "HS_NH2_mmol": 4.8, "HS_NCO_mmol": 3.36, "HS_CHO_mmol": 1.44, "HS_group_balance_difference_mmol": 0.0, "HS_active_feed_g": 12.5185752, "MCI_reagent_g_at_exact_90percent_assay": 0.48971999999999993, "TFB_reagent_g_at_exact_98percent_assay": 0.07941551020408164, "HS_formal_imine_water_g": 0.025941600000000002, "ionic_liquid_weight_fraction": 0.3, "ionic_diffusion_tau_s_at_D1e-11": { "5": 0.2533029591058444, "15": 2.2797266319525997, "50": 25.330295910584443 }, "Dlat_max_m2_s_for_10um_blur_25s": 2.0000000000000004e-12, "Dlat_max_m2_s_for_10um_blur_24h": 5.787037037037038e-16, "healing_archive_selectivity_ratio_min": 15.275531847822252, "kH_min_for_80percent_in_24h_s-1": 1.862775361613542e-05, "kM_max_for_90percent_in_24h_s-1": 1.2194504127063226e-06, "kM_max_for_90percent_24h_s-1": 1.2194504127063226e-06, "archive_decay_time_days_for_90percent_24h": 9.491221581029906, "RM_codewords": 256, "RM_pairwise_comparisons": 32640, "RM_dmin": 64, "RM_max_correctable_arbitrary_errors": 31, "witness_fraction_excluding_anchors": 0.00017006802721088434, "hypothetical_ligament_stress_gain_per_load_fraction": 981.7477042468104, "hypothetical_ligament_stress_MPa_at_200kPa_1percent_axial_loadshare": 1.9634954084936203, "nominal_cavity_loads_mN": { "20": 3.926990816987242, "80": 15.707963267948967, "200": 39.26990816987241 }, "tile_envelope_volume_cm3": 0.64, "tile_mass_g_if_all_density1p1": 0.7040000000000001, "nominal_200kPa_load_N_tile": 80.0, "nominal_200kPa_load_N_active": 51.2, "thermal_diffusion_s_at_alpha1e-7": { "0.5mm": 2.5, "1.6mm": 25.6 }, "all_checks_passed": true, "force_recruitment": { "initial": { "g_N_m": 25, "Ks_N_m": 20.0, "Ktotal_N_m": 100.0, "phi": 0.2, "overall_indentation_um": 39.26990816987242, "receptor_force_mN": 0.7853981633974484, "receptor_extension_um": 7.853981633974484, "pressure_for_1mN_kPa": 25.464790894703256 }, "written": { "g_N_m": 200, "Ks_N_m": 66.66666666666667, "Ktotal_N_m": 146.66666666666669, "phi": 0.45454545454545453, "overall_indentation_um": 26.77493738854937, "receptor_force_mN": 1.7849958259032916, "receptor_extension_um": 17.849958259032917, "pressure_for_1mN_kPa": 11.204507993669433 }, "local_gain_ratio": 2.2727272727272725, "relative_total_stiffness_increase": 0.4666666666666668, "phi_ceiling": 0.5555555555555556, "gain_ceiling": 2.7777777777777777, "minimum_1mN_threshold_kPa": 9.167324722093172, "counterexample_bypass400_N_m": { "g_N_m": 200, "Ks_N_m": 66.66666666666667, "Ktotal_N_m": 466.6666666666667, "phi": 0.14285714285714285, "overall_indentation_um": 8.414980322115516, "receptor_force_mN": 0.5609986881410346, "receptor_extension_um": 5.609986881410346, "pressure_for_1mN_kPa": 35.65070725258457 }, "counterexample_capture_yield_0p04": { "g_N_m": 22.4, "Ks_N_m": 18.30065359477124, "Ktotal_N_m": 98.30065359477123, "phi": 0.18617021276595744, "overall_indentation_um": 39.94877626323458, "receptor_force_mN": 0.7310887159284759, "receptor_extension_um": 7.310887159284758, "pressure_for_1mN_kPa": 27.35646107545264 } }, "nonlinear_implicit_derivative_check": { "dimensionless_test_equilibria": 100, "max_abs_error": 1.1429002189089488e-10, "scope": "independent equilibrium-root finite difference against analytic derivative; not an experimental constitutive model" }, "illustrative_kinetics": { "kw_law": "0.03*exp(4*delta_g/delta_g_initial) s^-1", "kc_normalized": 5, "theta": 1, "integration": "RK4 dt=0.01s; 60s, no fitted data", "inventory_reference": "interface-eligible N_I; reduced model assumes no inaccessible bulk activation (L_B=0)", "min_g_N_m": 24.911275808276574, "last_record": [ 60.0, 0.9987329853901284, 0.991923965756561, 198.51860381106252, 0.45392957497135905, 146.5012502660331 ], "warning": "initial softening is present; finite capacity does not guarantee fracture protection", "configuration": "reference-free control only; final referenced module is verified below" }, "receiver_protected_feed_g": 1.7361616, "formal_receiver_deacetylation_mass_loss_g": 0.0210185, "upper_bound_accessible_writer_inventory": { "assumed_density_kg_m3": 1000, "assumed_writer_repeat_fraction": 0.005, "assumed_accessible_depth_nm": 5, "cD_mol_m3": 29.368575624082233, "gamma_mol_m2": 1.4684287812041118e-07, "sites_per_1000_um2": 88430848.16446404, "fraction_of_uniform_5um_film_one_face": 0.001, "scope": "uniform bulk CONTROL; not the final gate-coat design or measured active-link density" }, "final_referenced_module": { "initial": { "KA_N_m": 20.0, "KR_N_m": 20.0, "Ktotal_N_m": 120.0, "delta_um": 32.72492347489368, "FA_mN": 0.6544984694978735, "FR_mN": 0.6544984694978735, "Q": 1.0, "xg_um": 26.17993877991494, "xi_um": 6.544984694978735, "P_for_active_1mN_kPa": 30.557749073643908 }, "written": { "KA_N_m": 66.66666666666667, "KR_N_m": 20.0, "Ktotal_N_m": 166.66666666666669, "delta_um": 23.561944901923443, "FA_mN": 1.5707963267948961, "FR_mN": 0.47123889803846886, "Q": 3.3333333333333335, "xg_um": 7.85398163397448, "xi_um": 15.70796326794896, "P_for_active_1mN_kPa": 12.73239544735163 }, "actual_FA_gain": 2.3999999999999995, "reference_ratio_gain": 3.3333333333333335, "host_bypass_invariance_max_abs_error": 8.881784197001252e-16, "tested_Kb_N_m": [ 0, 10, 80, 200, 1000 ], "g_programmed_from_Q_N_m": { "1": 25.0, "2": 66.66666666666667, "3": 150.0 }, "Q_architectural_ceiling": 5, "cannot_infer": "absolute pressure without total-force/bypass calibration" }, "nonlinear_reference_reconstruction": { "model_equilibria": 72, "max_absolute_extension_error": 2.220446049250313e-16, "scope": "dimensionless monotone nonlinear constitutive models; no measured material properties" }, "antipodal_geometry": { "footprints_inside_radius250um": true, "matched_affine_tilt_ratio": 1.0, "scope": "linear matched positive-contact model; no plate-bending validation" }, "conditional_loaded_travel_limit": { "required_measured_delta_max_um": 50, "FA_max_mN": 3.3333333333333335, "FR_max_mN": 1.0, "each_active_post_force_cap_mN": 1.6666666666666667, "active_sensor_extension_um": 33.333333333333336, "generic_g_infinite_FA_bound_mN": 5.0, "ideal_stop_onset_kPa_initial": 30.557749073643908, "ideal_stop_onset_kPa_written": 42.441318157838765, "ideal_stop_force_at200kPa_mN_initial": 33.269908169872416, "ideal_stop_force_at200kPa_mN_written": 30.93657483653908, "scope": "conditional idealized upper-travel contract; finite stop compliance, impact and survival require tests" }, "example_force_error_budget": { "assumed_each_force_error_uN": 5, "extension_error_bound_um": 0.30000000000000004, "written_xg_um_at20kPa": 7.85398163397448, "scope": "assumed readout error; calibration and mismatch errors excluded" }, "surface_writer_geometry_budget": { "WG_nominal_thickness_nm": 100, "WG_thickness_tolerance_nm": 20, "W0_support_um": 4.9, "assumed_accessible_depth_nm": 5, "accessible_fraction": 0.05, "geometric_utilization_ratio_vs5um_control": 50, "gamma_upper_mol_m2": 7.342143906020559e-07, "areal_inventory_ratio_vs_control": 5.0, "total_writer_per_area_ratio_vs_control": 0.09999999999999999, "scope": "approximate HMA-repeat inventory geometry; not sensitivity, activation or yield" } }