DETERMINATION OF DIFFERENTIAL-CROSS-SECTION MOMENTS FROM POLARIZATION-DEPENDENT PRODUCT VELOCITY DISTRIBUTIONS OF PHOTOINITIATED BIMOLECULAR REACTIONS

We describe procedures for the measurement of the differential-cross-s ection moments of the velocity distribution of the state-selected prod ucts of photoinitiated bimolecular reactions using resonance-enhanced multiphoton ionization (REMPI) detection and some form of laboratory v elocity selection such as time-of-flight mass spectrometry. The relati ve ionization probability of a single product molecule is presented in the form I=1+f(Theta,Phi,theta(e),theta(u),A(q)(k)(stf)), where the a ngles Theta, Phi, and theta(e) describe the orientation of the product 's laboratory velocity with the photolysis and probe laser polarizatio ns, theta(u) is the product laboratory scattering angle, and the A(q)( (k)stf) are the stationary target frame (STF) differential-cross-secti on moments. The STF is a reference frame defined by the laboratory vel ocity and the scattering plane. From the ionization probability, I, we derive a method to measure all five parameters with k less than or eq ual to 2, the differential cross section, 1/sigma(d sigma(00)/d Omega( r)), and the four polarization parameters A(1)((1)stf), A(0)((2)stf), A(1)((2)stf), and A(2)((2)stf) [where the A(q)((k)stf) are equal to th e polarization-dependent differential cross sections normalized by the differential cross section, (d sigma(kq)(stf)/d Omega(r))/(d sigma(00 )/d Omega(r))]. The five parameters can be determined using only one r otational branch and several experimental geometries. We present simul ations that show the effects of product polarization on experimental s ignals, and we discuss the effectiveness and limitations of inverting the measured signals to the A(q)((k)stf). (C) 1997 American Institute of Physics.