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160   Principles and Methods

        typical electron transfer rates, which are most often in the diffusion con-
                                       1  1
                                  10
                            9
        trolled regime (k   10 to 10 M s ). Hydroxyl radical reacts by three
        pathways: hydrogen atom extraction, HO radical addition, or by direct
        electron transfer as illustrated by the following three reactions:
                                  .
                                                CHOH 1 H O
                           2
                       3
                    CH CH OH 1 OH h CH 3.                  2          (14)
                                .
                               + OH         HO                        (15)



                          SO 22   .           2.                      (16)
                             3 1 OH h SO 3 1 H 2 O
          The array of oxygen-containing radicals known as ROS in solution is
        known to damage cell membranes, cellular organelles, and nucleic acids
        contained within RNA and DNA. Moreover, the oxidizing properties of
        ROS can also be generated on the surface of nanomaterials.
          Reactive oxygen species are highly reactive with low selectivity. In
        addition, ROS species present many challenges for direct time-resolved
        detection due to their short lifetimes and relatively low concentrations
        under steady-state conditions. This limitation can be overcome by trap-
        ping the free radicals with appropriate chemical trapping agents (e.g.,
        chemical compounds that readily react with ROS and stabilize their
        unpaired electrons).
          Electron paramagnetic resonance (EPR/ESR) detects the small
        changes that an unpaired electron exerts on an applied magnetic field.
        The unpaired electron, in a spin state of  1/2 or  1/2, responds to a mag-
        netic field by aligning either parallel or anti-parallel to the applied field.
        Both spin states have distinct energy levels, which are determined by
        the magnetic field strength. In order to detect these energy states, the
        sample is exposed to electromagnetic radiation with sufficient energy
        to excite the electrons from the lower state to the upper state. This
        energy gap is given by

                                     E 5 g H                          (17)

        where  E is the energy gap between the  1/2 and  1/2 state, H is the
        applied magnetic field,   is the Böhr magneton constant, and g is the
        splitting factor for the free electron. This splitting factor depends on
        the atoms within the radical compound being detected. An adsorption
        spectrum can be obtained by using the applied magnetic field to detect
        the changes. EPR detectors take the first derivative of initial spectrum.
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