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26) ωi MHz, cm−1 the harmonic oscillator frequency of the i-th normal mode, fundamental vibrational frequencies, i = 1, 2 or 3 ω1(Σ), ω2(Π), ω3(Σ) MHz, cm−1 vibrational frequencies, Σ and Π indicate that the corresponding quantum numbers l are 0 and 1, respectively ( ′), ( ′′) 1 ) cubic and quartic force constants in the normal coordinate representation (Eq. g. 6 ) The units of the various symbols depend on their positions within the equation. 3 ) The unit depends on the measuring method and is given at the place where it occurs.

18) hc ν i v L i i r [1 – exp ΂– F kT ΃ the symbols have the same meaning as in Eq. 27 on page XXX. 3 and 12 µm regions up to 3000 K and resolutions of the order of a few cm –1 . 19) where Ia is the isotopic abundance; Q V (T0) is the vibration rotation partition function at temperature T0 and | R | 2 is the square of the transition dipole moment (in Debye 2 ). Then some phenomenological rules were established to predict ᏾ values for “hot” bands missing in HITRAN 92. All this information has formed the basis for the parameters in HITELOR.

3 and FL of Eq. 5 are newly introduced parameters in this work. Fermi-interaction matrix elements. 1) Dυ1 , υ2 , l 2 , υ3 , J | Ᏼ | υ1 – 2, υ2 , l 2 , υ3 + 1, J F = eff 3 {F (3) + F (3) (υ – 1/2) + F (3) (υ + 1) + F (3) (υ + 1) + F (3) [J (J + 1) – l 2 ]}. 2) Fermi and l-type interaction matrix element. Dυ1 , υ2 , l 2 , υ3 , J | Ᏼ eff | υ1 – 1, υ2 + 2, l 2 ± 2, υ3 , J F = 00000000 3 (8) (8) 1 (υ2 ± l 2 + 2) (υ2 ± l 2 + 4) [J (J + 1) – l 2 (l 2 ± 1)] [J (J + 1) – (l 2 ± 1) (l 2 ± 2)] · {FL ± FLl (l 2 ± 1)}.