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4  CO,  Isotope Lasers and Their Applications   45

                       Relatively low-power (1 to 25 W), easy-to-construct CO,  lasers that are also
                   commercially readily available do, however, play an important role in tunable
                   laser spectroscopy because of  the following characteristics. CO, - isotope lasers
                   can oscillate in a very large number of  vibrational-rotational transitions. These
                   lasing  transitions have  inherently high  spectral punty  and may  be  line-center
                   stabilized with  a long-term stability comparable to commercial cesium atomic
                   clocks. Approximately 1500 of  the CO,  lasing transition frequencies have been
                   determined thus far, and many more miy be measured if necessary. The accura-
                   cies of  the published frequencies are within a few kilohertz relative to the pri-
                   mary  Cesium frequency standard. Thus CO,  isotope lasers can be very conve-
                   niently used as secondary frequency standards in the 8.9- to 12.3-ym wavelength
                   region. One can also utilize difference frequencies [16] and harmonics  [17] of
                   C0, lasing transitions to synthesize precisely known reference lines well beyond
                   the-8.9-  to  12.1-pm range,  Because  of  the large  number  of  lasing  transitions
                   measured to date. the average spacing between adjacent lines is only about 3 to 6
                   GHz, which may well be within the tuning range of  moderate-pressure (wave-
                   guide) CO, lasers, optical frequency shifters, and lead-salt tunable diode lasers.
                       The intention of this chapter is to give an overview of  only those aspects of
                   CO,  laser physics  and engineering that most  intimately relate to tunable laser
                   spectroscopy. For all other areas of CO,  laser physics, engineering, and applica-
                   tions, the reader is referred to the vast-array  of  publications that  appeared (and
                   continue  to  appear)  in  textbooks  [18.19].  books  and  book  chapters  [20-221,
                   SPIE proceedings  [23-281,  numerous other  scientific publications  [29,30], and
                   conference proceedings, just to name a few.
                       We  should emphasize, however, that many of the most important aspects of
                   CO,  laser physics described in the beginning of this chapter are excerpted from
                   the seminal papers of C. K. N. Pate1 [1.2,3,5]. On the other hand, vnrtually all of
                   the experimental results and calculations presented in the latter part of the chap-
                   ter  originate  from  years  of  painstaking  research  performed  at  MIT's  Lincoln
                   Laboratory, the Time and Frequency Division of  the National Institute of  Stan-
                   dards and Technology [NIST previously called the National Bureau of Standards
                   (NBS)] in  Boulder,  Colorado,  and  the  National  Research  Council  (NRC)  in
                   Ottawa, Canada. Those  individuals whose collaboration I had  the privilege to
                   receive over the years are acknowledged at the end of this chapter.



                   2.  VIBRATIONAL ENERGY-LEVEL STRUCTURE OF THE  CO,  MOLECULE

                       The CO,  molecule is linear and symmetric in  configuration and has three
                   degrees of vibrational freedom as illustrated in Fig.  1. In the symmetric stretch
                   mode, denoted by vl, the atoms of  the molecule vibrate along the internuclear
                   axis in a symmetric manner. In the bending mode, denoted by v,,  the atoms also
                   vibrate symmetrically but in planes perpendicular to the internuilear axis. In the
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