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4  CO,  Isotope Lasers and Their Applications   95

                    CO? and also the utilization of  these narrow Doppler-free resonances for line-
                    center stabilization of  all available regular and hot band CO,  lasing transitions.
                    Since its first demonstration in 1970, this method of line-center stabilization has
                    attained worldwide use and became known as the Freed-Javan  technique.




                    9. ABSOLUTE  FREQUENCIES OF  REGULAR  BAND LASING
                    TRANSITIONS  IN NINE CO,  ISOTOPIC SPECIES

                        Through  the  use  of  optical  heterodyne  techniques  [36,37,56,92-98],  beat
                    frequencies between laser transitions of  individually line-center-stabilized C0,-
                    isotope lasers in pairs can be generated and accurately measured. Measuremenis
                    of  the  difference frequencies are then used to calculate the band  centers, rota-
                    tional constants, and transition frequencies by  fitting the measured data to the
                    standard formula for the term values [31,36-38.931  as given here:









                    The first systematic measurement and really accurate determination of the absolute
                    frequencies and vibrational-rotational constants of  the regular band  12C1601 laser
                    transitions was  accomplished by  Petersen  et al. of  the NBS  in  1973 [93.$5].  In
                    these initial measurements Petersen et al. used 30 adjacent pairs of  12C160, laser
                    lines in  the  10.4-pm regular band  and  26 adjacent pairs  in  the  9.3-pm regular
                    band.  The  lasing  transitions  were  generated  by  tm o  grating-controlled  12C16Q7
                    lasers, which were line-center-stabilized using the standing-wave saturation reso:
                    nances observed in the 4.3-pm fluorescence band, and the 3240 63-GHz beat fre-
                    quencies were detected and measured using LHe temperature Josephson junctions.
                    These measurements, together with  the absolute frequencies of  the  10.18-pm I-
                    R(30) and 9.33-pm 11-R( 10) W160, transitions as determined relative to the pn-
                    mary cesium frequency standard at the NBS in Boulder, Colorado, by Evenson et
                    al. in  1973 [94], reduced the uncertainties in existing vibrational-rotational con-
                    stants [92] 20 to 30 times and the additional rotational constant H, was determined
                    €or the first time with a statistically significant accuracy.
                        Concurrent with the ongoing work mith 13C1601 lasers at the NBS, we at MIT
                    Lincoln  Laboratory concentrated our effort on measuring  the rare  CO,  isotopic
                    species using  LN,-cooled  HgCdTe  varactor  photodiodes  [74.75]  and-the  two-
                    channel line-center-stabilized CO,-isotope calibration system illustrated in Fig. 13
                    and described in Sec. 8. In the initial phase of the MIT Lincoln Laboratory work,
                    the  band  centers. rotational constants. absolute frequencies, and  vacuum  nave
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