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The TOF was calculated from TOF=rAc/nOF. Therewith, rAc is the total amount of acrolein converted per weight of gold per second, and nOF the amount of gold at the surface. The latter is calculated from nOF=ntotal*D, where ntotal is the total amount of gold and D the degree of dispersion (i.e., the surface-to-volume ratio), estimated by TEM.
http://www.sciencedirect.com/sci ... i/S002195170200043X

TOF was calculated from TOF=rAC/n*D: ¦Ã is the total moles of CO converted per gram of Pd per second; n is the total moles of Pd at the surface; D is the cluster dispersion assuming sphere clusters. D was obtained from Ref. [18] based on calculated total number of atoms in each cluster. The size of clusters was measured from TEM and we assumed spherical shape to calculate total number atoms in each cluster from diameter of the spheres.
http://www.springerlink.com/content/p6gn02v77814m268/

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The turnover frequency (TOF), number of molecules of CO converted per surface atom of gold particles and per second, was calculated for the two series of catalysts with the assumption that gold particles were cubo-octahedra. This hypothesis is supported by HRTEM observation (see next section). The dispersion D was calculated by the formula D=Ns/Nt, where Ns represents the number of surface atoms and Nt the total number atoms in the particle.
http://www.sciencedirect.com/sci ... i/S0021951703004482

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