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Apparent re ection from the ionosphere back to the Earth, as shown in Figure 7.5 extracted from References [1 3], can occur whenever the wave frequency is below this critical frequency fc, from which follows the working frequencies for satellite communications must be above this critical frequency fc. The greatest critical frequency usually observed in the real ionosphere does not exceed 12 MHz. This is the other extreme of an overall atmospheric window which is bound at the high-frequency end by atmospheric absorption at hundreds of gigahertz, as is shown in 6. A number of ionospheric effects for radio waves with frequencies above 12 MHz, which are very important in land-satellite communications, will be considered brie y according to the corresponding references [1 3,7]. Faraday Rotation. A linearly polarized wave rotates during its passage through the ionosphere because of the combined effects of the free electrons and the Earth s magnetic eld. This phenomenon is called Faraday rotation. The angle associated

TABLE 6-2 Monomer Reactivity Ratios in Radical Copolymerization M2 Acrylic acid r1 0.24 0.25 8.7 0.86 0.046 0.69 0.98 1.5 0.14 0.020 5.5 3.6 0.92 0.11 0 0 0.7 0.75 1.4 8.8 0 0.07 0.44 0.48 0 0 0.010 0.040 0.046 0 0.01 0.38 0.79 0 0.006 0 0.045 0.012 0.01 0.08 0.03 0.005 0 0 2.4 0.60 24 0.58 0.46 0.25 12 M2 n-Butyl methacrylate Styrene Vinyl acetate Acrylamide 1,3-Butadiene Ethyl vinyl ether Isobutylene Methyl acrylate Methyl methacrylate Styrene Vinyl acetate Vinyl chloride Vinylidene chloride 4-Vinylpyridine Methyl methacrylate Styrene Vinyl acetate Methyl methacrylate Styrene Vinyl chloride Acrylonitrile Styrene Vinyl acetate Vinyl chloride Acrylonitrile Methyl methacrylate Styrene Vinyl acetate Vinyl chloride Acrylonitrile n-Butyl acrylate Tetra uoroethylene Vinyl acetate Methyl methacrylate Styrene Acrylonitrile n-Butyl vinyl ethera Methyl acrylate Methyl methacrylate cis-Stilbenea trans-Stilbenea Styrene Vinyl acetate Vinyl chloride Acrylonitrile Styrene Vinyl chloride 2-Vinylpyridine Ethyl methacrylate Styrene Vinyl acetate r2 3.5 0.15 0.21 0.81 0.36 0.060 0.020 0.84 1.3 0.29 0.06 0.044 0.32 0.41 23 90 1 0.25 0.58 0.04 8 0.3 0.011 0.13 12 20 6.1 0.17 0.9 7 14 0.1 1.4 6.7 0.29 6 0 2.8 3.4 0.07 0.03 0.05 0.019 0.098 0.092 0.12 0.064 1.7 0.83 0.25 0.01 T ( C) 50 60 70 40 40 80 50 50 70 60 70 50 60 60 60 60 60 90 50 50 60 60 60 60 60 60 70 60 70 20 150 25 130 79 65 60 50 75 75 60 60 50 75 75 70 60 50 70 80 80 70

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with this rotation depends on the frequency and the total number of electrons encountered along the radio path, according to References [1 3,7] f 2:36 1020 hBiN f2 7:17

the number-average degree of polymerization.) X n is simply given as the total number of monomer molecules initially present divided by the total number of molecules present at time t:

Xn N0 M 0 N M 2-26

where f is in hertz and hBi mhHi is the average induction of magnetic eld of the Earth (called geomagnetic [8 12,44 46]) at the ionospheric altitudes with a typical value hBi 7 10 21 Wb m 2 and hHi is the average strength of the magnetic eld. Here we use average values of the magnetic eld, as many satellite and rocket observations of this parameter of the ionosphere have shown that it varies randomly with daytime, latitude, and longitude of the Earth [4 7,9,10]. The parameter N in Equation (7.11) is the total number of electrons contained in a column of crosssectional area 1m2 and a length equal to the path length, that is, the total electron content, N [1 3,7] Ntot

Using a data reader in this way has several advantages and disadvantages The advantage is speeda data reader is about the fastest possible way to get data from a query into a collection in your application The disadvantage is the tight coupling it introduces between your presentation tier and your data tier I would recommend staying away from this approach for any large-scale application where maintainability is a concern, and only use it as a performance optimization technique for those places where you have identified a performance hotspot in your presentation of data

Xn 1 1 p 2-27

7:18

This equation relating the degree of polymerization to the extent of reaction was originally set forth by Carothers [1936] and is often referred to as the Carothers equation. The number-average molecular weight M n , de ned as the total weight of a polymer sample divided by the total number of moles in it (Eqs. 1-15 and 1-16), is given by

M n Mo X n Meg Mo Meg 1 p 2-28

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