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geometric number-density from USSA1976 hydrostatic T/P layers to86km with1m grid; add pressure-column tail estimate above86km (<3e-6 opticaldepth). Tail is a bounded approximation, not a detailed thermosphere model. Composition dryair and gravity/reference radius are standard, not polar weather. Simple p/p0 variant also reported.","sources":[{"url":"https://ntrs.nasa.gov/api/citations/19770009539/downloads/19770009539.pdf","locator":"USSA1976 Part1 and Part4; scanned text poor, formula independently cross-checked in NASA/TM2005-213659 AppendixA pp34-35"},{"url":"https://ntrs.nasa.gov/api/citations/20050207438/downloads/20050207438.pdf","locator":"AppendixA equationsA1-A5; geopotential/temperature/pressure constants"},{"url":"https://doi.org/10.1175/1520-0426(1999)016<1854:ORODC>2.0.CO;2","locator":"Bodhaine etal1999 equations9,29,30; fitted360ppm dryair crosssection"},{"local_read_only":"outputs/CloudScat/source/src/rayleigh.jl and parameters.jl","locator":"frozen actual Ray.sigma uses314ppm composition, STP nair0 and7.2km scale height; comparison reimplements arithmetic only, no simulation/package modification"}],"rows":[{"geometric_altitude_m":0,"geopotential_altitude_m":0.0,"pressure_Pa":101325.0,"temperature_K":288.15,"number_column_m2":2.1531676147015385e+29,"number_column_1m_2m_relative_difference":2.609784657962236e-09,"tau_R_standard_density_integral":0.7392158609894012,"T_R_standard_direct":0.4774881858755093,"tau_R_pressure_ratio_simple":0.7388150007400603,"tau_R_frozen_CloudScat_exp7200":0.6640665391944888,"T_R_frozen_CloudScat_direct":0.5147538060136716,"standard_minus_frozen_direct_percentage_points":-3.726562013816231},{"geometric_altitude_m":15000,"geopotential_altitude_m":14964.687968767215,"pressure_Pa":12111.82569808545,"temperature_K":216.64999999999998,"number_column_m2":2.5852340202678446e+28,"number_column_1m_2m_relative_difference":6.0997210299906396e-09,"tau_R_standard_density_integral":0.0887550964032257,"T_R_standard_direct":0.9150696499833527,"tau_R_pressure_ratio_simple":0.08831382691432996,"tau_R_frozen_CloudScat_exp7200":0.08268589413152973,"T_R_frozen_CloudScat_direct":0.9206402803233449,"standard_minus_frozen_direct_percentage_points":-0.5570630339992166},{"geometric_altitude_m":16000,"geopotential_altitude_m":15959.829060097296,"pressure_Pa":10352.831799122749,"temperature_K":216.64999999999998,"number_column_m2":2.2104887730021323e+28,"number_column_1m_2m_relative_difference":6.087913942171693e-09,"tau_R_standard_density_integral":0.0758895104303655,"T_R_standard_direct":0.9269186157406443,"tau_R_pressure_ratio_simple":0.07548805757049686,"tau_R_frozen_CloudScat_exp7200":0.07196357814031237,"T_R_frozen_CloudScat_direct":0.9305647880941342,"standard_minus_frozen_direct_percentage_points":-0.36461723534899626},{"geometric_altitude_m":18000,"geopotential_altitude_m":17949.174604997264,"pressure_Pa":7565.23449136079,"temperature_K":216.64999999999998,"number_column_m2":1.6163321604720004e+28,"number_column_1m_2m_relative_difference":6.059946430433496e-09,"tau_R_standard_density_integral":0.055491191744205595,"T_R_standard_direct":0.9460203564230222,"tau_R_pressure_ratio_simple":0.05516218826877328,"tau_R_frozen_CloudScat_exp7200":0.05450990095595685,"T_R_frozen_CloudScat_direct":0.9469491331097504,"standard_minus_frozen_direct_percentage_points":-0.09287766867281944},{"geometric_altitude_m":18500,"geopotential_altitude_m":18446.315965482852,"pressure_Pa":6994.820253254152,"temperature_K":216.64999999999998,"number_column_m2":1.4947028451662556e+28,"number_column_1m_2m_relative_difference":6.051863490025695e-09,"tau_R_standard_density_integral":0.051315468571453415,"T_R_standard_direct":0.9499789347588454,"tau_R_pressure_ratio_simple":0.051002991666267504,"tau_R_frozen_CloudScat_exp7200":0.050852938561330926,"T_R_frozen_CloudScat_direct":0.9504184301572258,"standard_minus_frozen_direct_percentage_points":-0.04394953983803962}],"interpretation_limits":["Direct/ballistic no-collision transmission only. Rayleigh-scattered photons are not all absorbed or necessarily outside the full instrument response.","Cloud attenuation can multiply this factor for the direct ray e^-tau_cloud only; total diffuse directional fluence requires radiative transfer and cannot be obtained by this exponential alone.","This is a clear dry reference atmosphere; no aerosol, ozone, real polar seasonal weather, source spectrum, or finite-band weighting included.","At/above cloudtop, tau_cloud_above=0 does not remove the delayed contribution of downward photons returning from the cloud below."]},"rows":[{"geometric_altitude_m":0,"geopotential_altitude_m":0.0,"pressure_Pa":101325.0,"temperature_K":288.15,"number_column_m2":2.1531676147015385e+29,"number_column_1m_2m_relative_difference":2.609784657962236e-09,"tau_R_standard_density_integral":0.7392158609894012,"T_R_standard_direct":0.4774881858755093,"tau_R_pressure_ratio_simple":0.7388150007400603,"tau_R_frozen_CloudScat_exp7200":0.6640665391944888,"T_R_frozen_CloudScat_direct":0.5147538060136716,"standard_minus_frozen_direct_percentage_points":-3.726562013816231},{"geometric_altitude_m":15000,"geopotential_altitude_m":14964.687968767215,"pressure_Pa":12111.82569808545,"temperature_K":216.64999999999998,"number_column_m2":2.5852340202678446e+28,"number_column_1m_2m_relative_difference":6.0997210299906396e-09,"tau_R_standard_density_integral":0.0887550964032257,"T_R_standard_direct":0.9150696499833527,"tau_R_pressure_ratio_simple":0.08831382691432996,"tau_R_frozen_CloudScat_exp7200":0.08268589413152973,"T_R_frozen_CloudScat_direct":0.9206402803233449,"standard_minus_frozen_direct_percentage_points":-0.5570630339992166},{"geometric_altitude_m":16000,"geopotential_altitude_m":15959.829060097296,"pressure_Pa":10352.831799122749,"temperature_K":216.64999999999998,"number_column_m2":2.2104887730021323e+28,"number_column_1m_2m_relative_difference":6.087913942171693e-09,"tau_R_standard_density_integral":0.0758895104303655,"T_R_standard_direct":0.9269186157406443,"tau_R_pressure_ratio_simple":0.07548805757049686,"tau_R_frozen_CloudScat_exp7200":0.07196357814031237,"T_R_frozen_CloudScat_direct":0.9305647880941342,"standard_minus_frozen_direct_percentage_points":-0.36461723534899626},{"geometric_altitude_m":18000,"geopotential_altitude_m":17949.174604997264,"pressure_Pa":7565.23449136079,"temperature_K":216.64999999999998,"number_column_m2":1.6163321604720004e+28,"number_column_1m_2m_relative_difference":6.059946430433496e-09,"tau_R_standard_density_integral":0.055491191744205595,"T_R_standard_direct":0.9460203564230222,"tau_R_pressure_ratio_simple":0.05516218826877328,"tau_R_frozen_CloudScat_exp7200":0.05450990095595685,"T_R_frozen_CloudScat_direct":0.9469491331097504,"standard_minus_frozen_direct_percentage_points":-0.09287766867281944},{"geometric_altitude_m":18500,"geopotential_altitude_m":18446.315965482852,"pressure_Pa":6994.820253254152,"temperature_K":216.64999999999998,"number_column_m2":1.4947028451662556e+28,"number_column_1m_2m_relative_difference":6.051863490025695e-09,"tau_R_standard_density_integral":0.051315468571453415,"T_R_standard_direct":0.9499789347588454,"tau_R_pressure_ratio_simple":0.051002991666267504,"tau_R_frozen_CloudScat_exp7200":0.050852938561330926,"T_R_frozen_CloudScat_direct":0.9504184301572258,"standard_minus_frozen_direct_percentage_points":-0.04394953983803962}]},"background_components":{"report":{"status":"PRIVATE_QUALIFICATION_NOT_MISSION_PREDICTION","recorded_utc":"2026-10-22T08:05:44.541294+00:00","noll_primary":"https://doi.org/10.5194/acp-24-1143-2024","noll_dataset_version":"https://doi.org/10.5281/zenodo.8335837","noll_limits":["Mean10633selected2009-2019CerroParanal spectra, >=10min exposure; Moonabovehorizonwithillumination>50%excluded. Not a polar or microsecond distribution.","Continuum extracted by median/percentile filters; strong resolved lines removed, unresolvedO2UVbands retained partly. Extraterrestrial components modeled/subtracted; extinction and vanRhijn90km corrected. Not total night sky or total777line background.","Header only says wavelengthnm. Official ESO says Xshooter pipeline wavelength in air; authors could have subsequently converted, not explicitly verified here. Fold centre337.1uses table convention; photonenergyuses nominal wavelength with <0.03%air/vac sensitivity.","4component NMF is statistical; labelledcomponents must not automatically be treated as puremolecular emissions.","0.5nmgrid/broad extraction smoothing cannot validate sub-nm filter choices."],"noll_filter_folds":[{"centre_in_tabulated_nm":337.1,"width_nm":1.0,"filter":"unit_peak_tophat_full_width","equivalent_width_nm":1.0,"integrated_R":4.332810000000022,"band_mean_R_per_nm":4.332810000000022,"radiance_W_m2_sr":2.031613738774424e-09,"mean_W_m2_sr_nm":2.031613738774424e-09,"photon_radiance_m2_sr_s":3447940644.889992},{"centre_in_tabulated_nm":337.1,"width_nm":1.0,"filter":"unit_peak_Gaussian_FWHM","equivalent_width_nm":1.0644670194312262,"integrated_R":4.5542609945112185,"band_mean_R_per_nm":4.278442555171587,"radiance_W_m2_sr":2.1353484329527464e-09,"mean_W_m2_sr_nm":2.006025920928693e-09,"photon_radiance_m2_sr_s":3624165747.0353584},{"centre_in_tabulated_nm":337.1,"width_nm":2.0,"filter":"unit_peak_tophat_full_width","equivalent_width_nm":2.0,"integrated_R":8.388870000000033,"band_mean_R_per_nm":4.194435000000016,"radiance_W_m2_sr":3.932920381094343e-09,"mean_W_m2_sr_nm":1.9664601905471714e-09,"photon_radiance_m2_sr_s":6675650637.2765665},{"centre_in_tabulated_nm":337.1,"width_nm":2.0,"filter":"unit_peak_Gaussian_FWHM","equivalent_width_nm":2.128934038862452,"integrated_R":8.600845652801512,"band_mean_R_per_nm":4.03997751729179,"radiance_W_m2_sr":4.0320117811764064e-09,"mean_W_m2_sr_nm":1.893911087696649e-09,"photon_radiance_m2_sr_s":6844335502.069},{"centre_in_tabulated_nm":337.1,"width_nm":4.0,"filter":"unit_peak_tophat_full_width","equivalent_width_nm":4.0,"integrated_R":15.104180000000019,"band_mean_R_per_nm":3.7760450000000048,"radiance_W_m2_sr":7.079558373207527e-09,"mean_W_m2_sr_nm":1.7698895933018817e-09,"photon_radiance_m2_sr_s":12019524541.748734},{"centre_in_tabulated_nm":337.1,"width_nm":4.0,"filter":"unit_peak_Gaussian_FWHM","equivalent_width_nm":4.257868077724905,"integrated_R":15.53422717423522,"band_mean_R_per_nm":3.648358025816427,"radiance_W_m2_sr":7.282419201157406e-09,"mean_W_m2_sr_nm":1.7103440191713506e-09,"photon_radiance_m2_sr_s":12361745209.459904},{"centre_in_tabulated_nm":337.1,"width_nm":8.0,"filter":"unit_peak_tophat_full_width","equivalent_width_nm":8.0,"integrated_R":26.839569999999974,"band_mean_R_per_nm":3.3549462499999967,"radiance_W_m2_sr":1.2584885760712335e-08,"mean_W_m2_sr_nm":1.573110720089042e-09,"photon_radiance_m2_sr_s":21358251179.804688},{"centre_in_tabulated_nm":337.1,"width_nm":8.0,"filter":"unit_peak_Gaussian_FWHM","equivalent_width_nm":8.515736155449808,"integrated_R":30.41674898537353,"band_mean_R_per_nm":3.571828486713712,"radiance_W_m2_sr":1.4274258493825266e-08,"mean_W_m2_sr_nm":1.6762213193618243e-09,"photon_radiance_m2_sr_s":24204879769.03795}],"starlight_primary":"https://doi.org/10.1051/0004-6361/202451086","starlight_catalogue":"https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/691/A330","starlight_limits":["Totalmeans direct+interstellar-dust-scattered starlight; no zodiacal, moon, airglow. Opticalphotometry+stellar-atmosphere/exctinction extrapolation, not a narrow337measurement.","99logbins span~0.1-4.3um: around337bracket~13nm wide. Cannot infer actual4nm spectralfeatures or own covariance from tabulated broad-model errors.","Hypotheticalsix cloudnormaldirections, noactualorbit/date/Sun/moon/cloudprofile. Not globalminimum/maximum or occurrenceweighteddistribution.","Earthfilled nadir does not see this external field directly; need hemisphericillumination and cloudBRDF/atmosphericscattering. Lambertalbedo.8is an explicit example only.","CubeisHEALPixNESTEDorder6in celestialRA/Dec despite paper figures plottedinGalacticcoordinates. Do not reinterpret cube inGalacticcoordinates."],"starlight_checks":{"sky_cube_mean_vs_tabulated_J_max_relative_difference":4.64092420645903e-05,"vector_mean":[-3.7596969085460876e-17,1.0128255294635421e-17,-6.471084665746572e-18],"mean_z_squared":0.33332579776092813,"nside1_z":[0.6666666666666666,0.6666666666666666,0.6666666666666666,0.6666666666666666,0.0,0.0,0.0,0.0,-0.6666666666666666,-0.6666666666666666,-0.6666666666666666,-0.6666666666666666],"unit_radiance_hemisphere_integrals_sr":[3.141655070554537,3.1416550705545374,3.141507432434911,3.1416550705545374,3.141655070554538,3.141507432434911]},"starlight_examples":[{"requested_nm":337.1,"bracketing_tabulated_nm":[330.93,343.75],"linear_interpolation_weight":0.4812792511700483,"J_total_W_m2_sr_nm":8.234702262090485e-10,"tabulated_total_uncertainty_interpolated_W_m2_sr_nm":1.237673712948518e-10,"J_direct_W_m2_sr_nm":6.01801248049922e-10,"J_diffuse_W_m2_sr_nm":2.2166897815912643e-10,"J_loglog_interpolation_total_W_m2_sr_nm":8.234549046001516e-10,"hypothetical_cloud_normal_unitvectors_celestial_xyz":[[1.0,0.0,0.0],[0.0,1.0,0.0],[0.0,0.0,1.0],[-1.0,-0.0,-0.0],[-0.0,-1.0,-0.0],[-0.0,-0.0,-1.0]],"no_atmosphere_downwelling_irradiance_W_m2_nm":[1.9292165312379777e-09,2.807470390434448e-09,2.1714912790063425e-09,2.287116202252343e-09,2.959434272946549e-09,3.3873673654255983e-09],"Lambert_albedo0p8_no_atmosphere_reflected_radiance_W_m2_sr_nm":[4.912709555857986e-10,7.149164643548412e-10,5.529657134956824e-10,5.824093584224374e-10,7.536137492720204e-10,8.625860164410473e-10]},{"requested_nm":777.4,"bracketing_tabulated_nm":[763.37,792.9300000000001],"linear_interpolation_weight":0.4746278755074406,"J_total_W_m2_sr_nm":1.4856694857916106e-09,"tabulated_total_uncertainty_interpolated_W_m2_sr_nm":1.8233192489851153e-10,"J_direct_W_m2_sr_nm":1.0940256427604872e-09,"J_diffuse_W_m2_sr_nm":3.916438430311234e-10,"J_loglog_interpolation_total_W_m2_sr_nm":1.4849933954980047e-09,"hypothetical_cloud_normal_unitvectors_celestial_xyz":[[1.0,0.0,0.0],[0.0,1.0,0.0],[0.0,0.0,1.0],[-1.0,-0.0,-0.0],[-0.0,-1.0,-0.0],[-0.0,-0.0,-1.0]],"no_atmosphere_downwelling_irradiance_W_m2_nm":[3.547714982102936e-09,4.195541123679053e-09,4.090046309496155e-09,3.709190097734729e-09,6.506641386620649e-09,5.942342534441274e-09],"Lambert_albedo0p8_no_atmosphere_reflected_radiance_W_m2_sr_nm":[9.034182017325718e-10,1.068385774046154e-09,1.0415217402097234e-09,9.44537502275188e-10,1.6569026233711686e-09,1.5132051006424802e-09]}],"healpix_reference":["https://healpix.sourceforge.io/doc/html/Healpix_cxx/healpix__base_8cc_source.html#l00928","https://healpix.sourceforge.io/doc/html/Healpix_cxx/healpix__tables_8cc_source.html#l00068"]}}}