¹⁶O₃ Integrated Band Intensities, and Dipole Transition Moment Operator Constants for the 4ν₁ + 2ν₂ + ν_3, 4ν₁ + 2ν₂ + ν₃ – ν₂ and the 2ν₁ + 5ν₃ A-Type Bands

Abstract

This chapter provides the integrated band intensities, and dipole transition moment operator constants for the 4ν₁ + 2ν₂ + ν_3, 4ν₁ + 2ν₂ + ν₃ – ν₂ and the 2ν₁ + 5ν₃ A-type bands of ¹⁶O₃ measured using continuous wave–cavity ring down spectroscopy.

Natural isotopic abundance: 0.992728.

Reference	[2008Cam]
Method	Continuous wave – cavity ring down spectroscopy.
Equations	Equations 47 and 52 in chapter “Introduction”.
Statistical errors	One standard deviation in units of the least significant full size digits.
Remarks	The calculated integrated intensities are given in cm/molecule at 296 K. The parameters of the dipole transition moment operators are given in Debye. Calculated constants are purposely given with a supplementary digit, in index form, in order to reproduce the line intensities to experimental accuracy. Spectroscopic parameters are given in chapter “16O3 Vibrational Energy and Rotational and Centrifugal Distortion Constants for the Dark (304), the (421), the (205) and the Dark (350) Interacting States” The isotopic composition of the elements used for the calculation of the natural isotopic abundance is taken from [2007Coh].
Abbreviation	{A,B} = AB + BA

Band	Integrated intensity	Transformed dipole transition moment operators	Parameters
4ν1 + 2ν2 + ν3	0.94 × 10−24	φz × 104	0.123856 (94)
A-type band		{φz, J2} × 108
2ν1 + 5ν3	2.00 × 10−24	φz × 104	0.38504 (37)
A-type band		{φz, J2} × 108	−0.4806 (45)
		1/2[{φx, iJy} − {iφy, Jx}] × 107	−0.370 (14)
4ν1 + 2ν2 + ν3 − ν2	No data	φz × 103	0.0100 (20)
A-type band

Symbols and abbreviations

Short form	Full form
υ 1 υ 2 υ 3	Upper vibrational level in normal mode notation
J x ,J y ,J z	Molecule-fixed components of J
SE	Statistical error