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Scientific, Technical and Mathematical Constants, Conversion Factors and Equations

*Image Credit -CDC/Dr. Errol Reiss. Double immunodiffusion in agar gel illustrating the exoantigen method
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NIST Wavenumber Conversion Tables
Scientific and Mathematical Constants
name constant source
atomic mass constant 1.660 538 73 x 10-27 kg NIST Fundamental Physical Constants
Avogadro constant 6.022 151 99 x 1023 mol-1 NIST Fundamental Physical Constants
electron volt 1.602 176 462 x 10-19 J NIST Fundamental Physical Constants
elementary charge 1.602 176 462 x 10-19 C NIST Fundamental Physical Constants
Faraday constant 96 485.3415 C mol-1 NIST Fundamental Physical Constants
Molar Gas constant 8.315 472 J mol-1 K-1 NIST Fundamental Physical Constants
Newtonian constant of gravitation 6.673 x 10-11 m3 kg-1 s-2 NIST Fundamental Physical Constants
Planck constant 6.626 068 76 x 10-34 J s NIST Fundamental Physical Constants
Proton Mass 1.672 621 58 x 10-27 kg NIST Fundamental Physical Constants
Rydberg Constant 10 973 731.568 549 m-1 NIST Fundamental Physical Constants
Speed of Light in Vaccum 299 792 458 m s-1 NIST Fundamental Physical Constants
Fine-Structure constant 7.297 352 533 x 10-3 NIST Fundamental Physical Constants
Magnetic constant 4pi x 10-7 = 12.566 370 615... x 10-7 N A-2 NIST Fundamental Physical Constants
scientific and mathematical conversion factors
name conversion factor source
dipole moment 1 debye = 3.335 64 � 10-30 C�m NIST Wavenumber Conversion Tables
wavenumber 1 cm-1 = 29 979.2458 MHz NIST Wavenumber Conversion Tables
pressure 1 atm = 101 325. Pa (pascal) NIST Wavenumber Conversion Tables
pressure 1 torr = 133.322 Pa
absorption intensity 1 cm-2 atm-1 at 296 K = 4.033 � 10-20 cm/molecule NIST Wavenumber Conversion Tables
scientific and mathematical equations
name equation source
Peak intensity of a Lorentzian line

% transmission = 100 exp(-0.7789 � 1015 Slp/L),

where S is the intensity given in the tables, L is the Lorentzian half-width at half height, l is the pathlength in cm, and p is the pressure in Pa

 NIST Wavenumber Conversion Tables
Peak intensity of a Doppler shaped line

% transmission = 100 exp(-1.1594 � 1015 Slp/D)

where S is the intensity given in the tables, l is the pathlength in cm, and p is the pressure in Pa

 NIST Wavenumber Conversion Tables
Doppler half-width at half intensity, D

D = 3.581 � 10-7 (T/M )1/2

where is the frequency in the same units as D , T is the temperature in kelvin, and M is the mass of the molecule in atomic mass units.

NIST Wavenumber Conversion Tables
Boltzmann factor

Ni = Nj exp(-1.439 Eij / T)

where Ni is the population of the ith level and Nj is the population of the jth level with energy difference in cm-1 of Eij at a temperature of T kelvin.

NIST Wavenumber Conversion Tables
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