Single scatterer model

For thermal electrons (long wavelength, k 0), the structure factor is approximately given by the isothermal compressibility, as 

---

The form factor term, P(q), contains information on the distribution of segments within a single dendrimer. Models can be used to fit the scattering from various types of particles, common ones being a Zimm function which describes scattering from a collection of units with a Gaussian distribution (equation (3a)), a... 

We now use several approximations discussed in previous chapters to estimate for the two model aerosols their single-scattering albedo 0, where... 

Figure 6. From figure 11 of Kylling et al. 1998. The ratio between simulated Brewer and Bentham UVB dose rates with and without aerosols as a function of the aerosol optical depth at 355 nm. Ratios of model results with aerosol single scattering albedo of (0.95 solid line), 0.87(dotted line) and 0.80 (dashed line) versus aersosol free model results are shown for solar zenith angle of 10° and an ozone column of 340 DU.

The correlation between photolysis rates and optical depths is obvious for the JN02 case in the UV-A region, it is not clear for JO( D). The model sensitivity study supports the expectation that aerosol optical depth and single scattering albedo are the two decisive parameters to describe the radiative effects of aerosols. 

Equation 23 goes by the name, Gorter-Nordheim rule it indicates that a plot of e vs. cr( = l/p) will be linear. On the other hand, if one has a single scattering mechanism and two groups of carriers (two bands), then the conductivities rather than resistivities are added a = band model the thermopower is ... 

Charge transfer occurs when particles collide with each other or with a solid wall. For monodispersed dilute suspensions of gas-solid flows, Cheng and Soo (1970) presented a simple model for the charge transfer in a single scattering collision between two elastic particles. They developed an electrostatic theory based on this mechanism, to illustrate the interrelationship between the charging current on a ball probe and the particle mass flux in a dilute gas-solid suspension. This electrostatic ball probe theory was modified to account for the multiple scattering effect in a dense particle suspension [Zhu and Soo, 1992]. 

---