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 Encyclopedia of Physical Science and Technology  EN009N-447  July 19, 2001  23:3







              Microwave Molecular Spectroscopy                                                            801

              whole molecule and very sensitive to the molecular struc-  P-band (12.4–18 GHz), K-band (18–26.5 GHz), and
              ture, isotopic composition, and numerous other molecu-  R-band (26.5–40 GHz). The simplest absorption cell con-
              lar properties. Information that can be obtained from the  sists of an X-band waveguide 2–5 m long with mica win-
              observation and analysis of rotational transitions includes  dows at each end to provide a vacuum seal. Small holes
              precise molecular structures, dipole moments, centrifu-  can be made in the waveguide, usually on its wide face, to
              gal distortion constants, vibrational potential functions,  allow evacuation of the cell and for sample introduction.
              internal rotation barriers, nuclear masses and spins, nu-  This cell is used for the various higher frequency bands
              clear quadrupole coupling constants, molecular magnetic  mentionedpreviouslybyemploymentoftaperedtransition
              moments, conformations of rotational isomers and ring  sections to match the cell to the smaller waveguide of the
              compounds, magnetic susceptibility and electric polariz-  source and detector. Sometimes, the interior of the absorp-
              ability constants, molecular quadrupole moments, struc-  tion cell is gold-plated to limit chemical decomposition.
              tures and other properties of hydrogen-bonded complexes,  The microwave radiation passing through the absorp-
              rare atom–molecule complexes, molecular ions, nonpo-  tion cell is detected by a crystal detector mounted at the
              lar spherical-top molecules, and qualitative and quan-  end of the waveguide. The small output voltage is ampli-
              titative analysis. The field of microwave spectroscopy  fied and displayed on an oscilloscope or chart recorder.
              continues to expand with new experimental and theo-  A microwave spectrum is obtained by sweeping the mi-
              retical developments. The contributions of microwave  crowave source over a range of frequencies and observing
              molecular spectra to the fields of microwave–optical and  the small variations in power at the detector. An absorption
              microwave–infrared double-resonance spectroscopy, mi-  line appears as a sharp dip on the recording system.
              crowave molecular astronomy, and structures of weak  To increase the sensitivity of a microwave spectrome-
              complexes attest to its vitality.                 ter, Stark modulation may be added. For this purpose, a
                                                                thin metal septum is mounted in the absorption cell par-
                                                                allel to the broad side of the waveguide, using insulating
              II. EXPERIMENTAL TECHNIQUES                       material such as Teflon (see Fig. 2). An alternating (5–
                                                                100 kHz) voltage, usually a zero-based square wave, is
              The microwave region has its own methods of generat-  applied to the septum. Typically, voltages from a few to
              ing, detecting, and measuring microwave radiation. Dur-  2000 V are applied. As discussed later, in the presence of
              ing World War II considerable work was done to develop  an external electric field, the rotational energy levels and,
              microwave radar systems. This led to new sources—the  therefore, the absorption lines are split into a number of
              klystron and other hardware associated with the propa-  components. If, for example, the source frequency is tuned
              gation and measurement of microwaves. After the war,  to the resonant frequency of an absorption line, the Stark
              this provided the impetus for a rapid development of mi-  voltage periodically shifts the absorption frequency away
              crowave spectroscopy as an area of study.         from the frequency of the source, resulting in a modulation
                                                                (field on and off) of the absorption line at the frequency
                                                                of the Stark modulator. In general, a signal reaches the
              A. Conventional Microwave Spectrometer
                                                                amplifier when the source being swept reaches the field-
              A typical microwave spectrometer is illustrated in Fig. 2.  off absorption frequency or the frequency of the field-on
              The essential elements of a microwave spectrometer are a  absorption lines (Stark components or lobes). The mod-
              microwave source, absorption cell, detection system, and  ulated signal is detected and amplified by a preamplifier
              a system for measuring the source frequency. Microwave  tuned to the modulation frequency. By employing phase-
              sources—the klystron and, more recently, the backward-  sensitive detection, one can obtain additional sensitivity.
              wave oscillator (BWO)—generate a very narrow band of  Here, a final amplifier is referenced to the modulation fre-
              frequencies so that the source is essentially monochro-  quency, and only the noise that has the same phase and
              matic. Furthermore, the source frequency can be conve-  frequency as the signal is amplified. With phase-sensitive
              niently varied and is often phase stabilized to give good  detection, the Stark components are displayed in opposite
              frequency stability.                              phase to the zero-field line. Figure 3 shows the appearance
                Microwave radiation is conveniently transmitted  of a rotational transition obtained with a Stark-modulated
              through hollow, rectangular metallic conductors called  spectrometer with application of different modulation
              waveguides. These are usually made of brass or copper,  voltages.
              and the rectangular dimensions depend on the frequency  Frequency measurements are made by comparing the
              rangetobetransmitted,thesizedecreasingwithincreasing  frequency of the microwave source with the appropriate
              frequency. Typical frequency bands used in the commonly  harmonic of a stable oscillator that is calibrated with a
              studied low-frequency region are X-band (8–12.4 GHz),  frequency standard. The difference frequency between the
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