= Polarizability = === ... and first ionization energy === || Speed of light c: 299792458 m/s || Planck Constant h: 6.62607015e-34 J-s || electronic charge q: 1.602176634e−19 colombs || || hc/q = 1239.8419 eV-nm ||<-2> Lyman alpha: n 2→1 . . 121.567 nm . . 82259.2 cm^^-1^^ . . 2.46607e15 Hz . . 10.1988 eV || ------ === Converting polarizability from cgs to MKS === α(F-m²) = 4e-6 π ε₀ α(cm³) ... https://en.wikipedia.org/wiki/Polarizability#Definition -------- === Computing MKS Cross Section === ω = 2 π c / λ σ(m²) = ω⁴ α(F-m²)² /( 12 π ε₀² c⁴ ) . = ω⁴ 16e-12 π² ε₀² α(cm³)² / ( 12 π ε₀² c⁴ ) . = ω⁴ 4e-12 π α(cm³)² / ( 3 c⁴ ) . = 64e-12 π⁵ α(cm³)² / ( 3 λ⁴ ) . = 64e24 π⁵ α(cm³)² / ( 3 λ(nm)⁴ ) Define β = 64e24 π⁵ α(cm³)² / 3 = 6.52842e27 α(cm³)² . β = 6.52842e-3 (nm⁶) (table value)² . ?????????????? σ(nm²) = β / λ(nm)⁴ ... ok, something's wrong, the numbers are WAY too small ... Maybe not, actually; the cross section for blue versus red in the atmosphere involves megatonnes of air TBD ------ === From 100th CRC handbook === || || α(cgs!) || Page || Wt || Ref || β ??? ||<|99>|| 1st eV || Page ||<-2> HITRAN || || || 1e-24 cm³ || || || || nm⁶ || || ||<|99>|| nm/UV || || Hydrogen (atomic) || 0.666793 || 10-96 || 1 || a 1 || 4.353e-3 || 13.598433 || 10-111 || || || Carbon (atomic) || 1.67 || 10-96 || 12 || a 5 || 10.9e-3 || 11.26030 || 10-111 || || || Nitrogen (atomic) || 1.1 || 10-96 || 14 || a 40 || 7.1e-3 || 14.5341 || 10-111 || || || Oxygen (atomic) || 0.77 || 10-96 || 16 || a 2 || 5.02e-3 || 13.61805 || 10-111 || 63170 || || Fluorine (atomic) || 0.557 || 10-96 || 19 || a 1 || 3.64e-3 || 17.4228 || 10-111 || || || Chlorine (atomic) || 2.16 || 10-97 || 36 || a 6 || || 12.96763 || 10-111 || || || Aluminum || 8.22 || 10-97 || 27 || a 31 || || _5.985768 || 10-111 || || || Helium || 0.2050522 || 10-96 || 4 || a 3 || || 24.587387 || 10-111 || || || Neon || 0.39432 || 10-96 || 20 || a 6 || || 21.56454 || 10-111 || || || Argon || 1.6411 || 10-97 || 40 || a 13 || || 16.759610 || 10-111 || || || Krypton || 2.4844 || 10-97 || 84 || a 13 || || 13.99961 || 10-111 || || || Xenon || 4.044 || 10-98 || 131 || a 1 || || 12.12984 || 10-112 || || || Hydrogen H₂ || 0.842 || 10-105 || 2 || m 6 || || 15.42593 || 10-123 || 368 || || Nitrogen N₂ || 1.7403 || 10-106 || 28 || m 6 || || 15.5808 || 10-126 || 1069 || || Oxygen O₂ || 1.5689 || 10-107 || 32 || m 34 || || 12.0697 || 10-127 || 579 || || Fluorine F₂ || 1.38 || 10-104 || 38 || m 7 || || 15.697 || 10-122 || || || Chlorine Cl₂ || 4.61 || 10-101 || 71 || m 3 || || 11.480 || 10-118 || || || Hydroxyl HO || 1.50 || other || 17 || m 99 || || 13.0170 || 10-123 || 279 || || Nitric Oxide NO || 1.70 || 10-106 || 30 || m 2 || || _9.26438 || 10-126 || 422 || || Nitrous Oxide N₂O || 3.03 || 10-106 || 44 || m 8 || || 12.886 || 10-127 || 283/170 || || Water H₂O || 1.45 || 10-109 || 18 || m 2 || || 12.606 || 10-131 || 389/U? || || Carbon Monoxide CO || 1.95 || 10-101 || 28 || m 3 || || 14.010 || 10-117 || 691 || || Carbon Dioxide CO₂ || 2.911 || 10-101 || 44 || m 8 || || 13.773 || 10-117 || 711 || || Ammonia NH₃ || 2.22 || 10-99 || 17 || m 33 || || 10.070 || 10-115 || 967 || || Methane CH₄ || 2.593 || 10-105 || 16 || m 6 || || 12.61 || 10-125 || 870 || || Ethane !C₂H₆ || 4.47 || 10-103 || 30 || m 3 || || 11.56 || 10-121 || 3333 || || Propane !C₃H₈ || 6.37 || 10-107 || 44 || m 2 || || 10.95 || 10-128 || || || Butane !C₄H₁₀ || 8.20 || 10-100 || 58 || m 2 || || 10.53 || 10-117 || || || Pentane !C₅H₁₂ || 9.99 || 10-107 || 72 || m 2 || || 10.28 || 10-127 || || || Hexane !C₆H₁₄ || 11.9 || 10-104 || 86 || m 2 || || 10.13 || 10-123 || || || Heptane !C₇H₁₆ || 13.61 || 10-104 || 100 || m 2 || || _9.93 || 10-123 || || || Octane !C₈H₁₈ || 15.9 || 10-106 || 114 || m 2 || || _9.80 || 10-127 || || || Nonane !C₉H₂₀ || 17.36 || 10-106 || 128 || m 27 || || _9.71 || 10-127 || || || Decane !C₁₀H₂₂ || 19.10 || 10-102 || 142 || m 27 || || _9.65 || 10-119 || || || Benzene !C₆H₆ || 10.32 || 10-99 || 78 || m 33 || || _9.24378 || 10-116 || 239/A || || Methanol !CH₄O || 3.29 || 10-105 || 32 || m 2 || || 10.85 || 10-125 || 7107 || || Ethanol !C₂H₆O || 5.41 || 10-103 || 46 || m 2 || || 10.43 || 10-121 || || || Ref || || a 1 || [[ https://doi.org/10.1016/S0065-2199(08)60054-8| TM Miller, B Bederson - Adv. At. Mol. Phys. 13, 1, 1978 ]] || || a 2 || [[ https://doi.org/10.1063/1.1705906 | RA Alpher, DR White - Phys. Fluids 2, 153, 1959 ]] || || a 3 || [[ https://doi.org/10.1103/PhysRevLett.98.254504 | JW Schmidt, RM Glavioso, EF May, MR Moldover - Phys. Rev. Lett. 98, 254504, 2007 ]] || || a 5 || [[ attachment:Relativistic_and_Electron_Correlation_Ef.pdf | C Thierfelder, B Assadollahzadeh, P Schwerdtfeger, S Schäfer, R Schäfer - Phys. Rev. A. 78, 052506, 2008 ]] || || a 6 || [[ https://doi.org/10.1209/0295-5075/90/63002 | C Gaiser, B Fellmuth - Europhysics Letters 90, 63002, 2010 ]] || || a 13 || [[ https://doi.org/10.1063/1.1840728 | RH Orcutt, RH Cole - J. Chem. Phys. 46, 697, 1967 ]] || || a 31 || [[ https://doi.org/10.1103/PhysRevA.72.052506 | T Flieg - Phys. Rev. A 72, 052506, 2005 ]] || || a 40 || [[ https://doi.org/10.1021/jp031064+ | BO Roos, R Lindh, PÅ Malmqvist, V Veryazov, PO Widmark - J. Phys. Chem. A 108, 2851, 2004 ]] || || m 2 || [[ https://archive.org/details/circularofbureau537mary | AA Marryott, F Buckley - U.S. National Bureau of Standard Circular No. 537, 1953 ]] || || || multiply molar polarization by 3/(4 pi N,,a,,) = 0.3964308e-30 m³ || || m 3 || [[ https://archive.org/details/moleculartheoryo0000hirs | JO Hirshfelder, CF Curtis, RB Bird - Molecular Theory of Gases and Liquids, Wiley, 1954 p. 954 ]] / PSU QC173.H54 || || m 6 || [[ https://doi.org/10.1063/1.1713942 | AC Newell, RC Baird - J. Appl. Phys. 36, 3751, 1965 ]] || || m 7 || [[ https://doi.org/10.1016/0009-2614(74)80394-5 | TC Jao, NHF Beebe, WB Person, JR Sabin - Chem. Phys. Lett. 26, 474, 1974 ]] || || m 8 || [[ https://doi.org/10.1063/1.1672658 | TK Bose, RH Cole - J. Chem. Phys. 52, 140, 1970 ]] || || m 27 || [[ https://doi.org/10.1021/ja00058a056 | KT No, KH Cho, MS Jhon, HA Scheraga - J. Am. Chem. Soc. 115, 2005, 1993 ]] || || m 33 || [[ https://doi.org/10.1021/jp0223152 | GLD Ritchie, EW Blanch - J. Phys. Chem. A 107, 2093, 2003 ]] || || m 34 || [[ https://doi.org/10.1103/PhysRevA.78.032522 | EF May, MR Moldover, JW Schmidt - Phys. Rev. A 78, 032522 (2008) ]] || || m 99 || [[ https://doi.org/10.1063/1.1706187 | D.R.White - The Physics of Fluids 4, 40 (1961) ]] || ------- == HITRAN == https://hitran.org/ : mostly infrared data, little optical and almost no UV, the large wavenumber, short wavelength spectrum where Rayleigh scattering, ionization, and photodissociation are significant. At very low densities, collisions will be far less common than photon interactions, so Beers-Lambert broadening probably won't be important. ------- === Photoionization === ||<-3> Oxygen [[ https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19880014868.pdf | NASA ]] [[ attachment=19880014868.pdf | local ]] || || λ nm || eV || Cross Section || || 91 nm || 13.6 ||<)> 0.15e-22 m² || || 90 nm || 13.8 ||<)> 2.8e-22 m² || || 80 nm || 15.5 ||<)> 3.5e-22 m² || || 70 nm || 17.7 ||<)> 9.3e-22 m² || || 60 nm || 20.7 ||<)> 13.3e-22 m² || || 50 nm || 24.8 ||<)> 11.9e-22 m² || ------ === Spectrum === || color ||<-2:> nm ||<-2:> cm^-1^ ||<-2:> THz ||<-2:> eV ||<-2:>Wein Temp|| || lyman α ||<-2:>121.567 ||<-2:> 82259.2 ||<-2:>2466.07||<-2:> 10.1988 ||<-2:> 7626 K || || violet || 380 || 450 || 26300 || 22200 || 789 || 666 || 3.26 || 2.76 || 7630 || 6440 || || blue || 450 || 495 || 22200 || 20200 || 666 || 606 || 2.76 || 2.67 || 6440 || 5850 || || Sun peak||<-2:> 502 ||<-2:> 19900 ||<-2:> 598 ||<-2:> 2.47 ||<-2:> 5776 K || || green || 495 || 570 || 20200 || 17500 || 606 || 526 || 2.67 || 2.18 || 5850 || 5080 || || yellow || 570 || 590 || 17500 || 16900 || 526 || 508 || 2.18 || 2.10 || 5080 || 4910 || || orange || 590 || 620 || 16900 || 16100 || 508 || 484 || 2.10 || 2.00 || 4910 || 4670 || || red || 620 || 750 || 16100 || 13300 || 484 || 400 || 2.00 || 1.65 || 4670 || 3860 ||