Angle factors

Angle factor The geometrical shape factor used in calculating radiation exchange between surfaces / and /. 

Radiation shape factor The angle factor representing the fraction of the angular field of view from which energy exchange is trading places. 

Experimentally, dvz is directly proportional to the laser bandwidth and is a constant dvx is determined by the slit width and is inversely proportional to the ion arrival time (i.e. a ID solid angle factor) and dvy/dt denotes the time-to-speed transformation in the ion TOF measurement, which can readily be derived from the equation of motion. It was found... 

One simple way of quantifying steric effects in actinide complexes [the cone angle factor (caf) approach] uses the sum of the solid angles subtended by the ligands to the centre of the metal... 

Angle factors. The two factors already mentioned—the crystal structure amplitude and the factor for the number of similar planes— give a general idea of the reason for the variation of intensity from one arc to another in the powder photograph of ammonium chloride. We have now to consider the general diminution with increasing angle. 

The first term represents a statistical weighting factor, the second term a solid angle factor for the probability of getting the angle 0, and the third term is a symmetric top wave function. 

Brockmann H. (1994) Analytic angle factors for the radiant interchange among the surface elements of two concentric cylinders. International Journal of Heat Mass Transfer 37(7), 1095— 1100. 

These solid-angle factors Qkq can be calculated easily because all quantities refer to the detector frame alone. In particular, for k = 0 one gets... 

Usually, the solid-angle factor Q00 is treated separately in this expression by introducing attenuation factors defined by... 

Consider one arbitrary voxel of the extended object located at the position r relative to some coordinate scheme. If the voxel is small relative to the dimensions of the measuring arrangement, solid angle factors can be assumed to be constant and the total scatter signal can be represented in the following form ... 

Other names for the radiation shape factor are view factor, angle factor, and configuration factor. The energy leaving surface 1 and arriving at surface 2 is... 

OH---0 Morse function based on rH...0 and angle factor (Box 4.3). Combined with refinement of diffraction data for cellulose (see Part II, Chap. 13) [344] ... 

If an intervening layer is now placed between the two media, the reflectivity will be modified due to interference effects between neutrons reflected from upper and lower interfaces. Apart from the incident angle, factors that determine the reflectivity are the scattering length density of the layer, the layer thickness, and the scattering length densities of the upper medium and the subphase. 

Selection rules 132 Laporte 132 spin 132 Self-assembly 90 Sepulchrate ligand 56 Sequestering agent 16 Shielding, electrons 20 Soft ligand 78 Soft metal 78 Solid angle factor 85 Solid angle sum 85 Spectrochemical series 112 Spin-only formula 146 Spin selection rule 132 Square planar complexes 108... 

To account for the effects of orientation on radiation heat transfer between two surfaces, we define a new parameter called the vieu factor, which is a purely geometric quantity and is independent of the surface properties and temperature. It is also called the shape factor, configuration factor, and angle factor. The view factor based on the assumption that the surfaces are diffuse emitters and diffuse reflectors is called the diffitse view factor, and the view factor based on the assumption that the surfaces are diffuse emitters but specular reflectors is called the specular view factor. In lliis book, we consider radiation exchange between diffuse surfaces only, and ihu.s the term view factor simply means diffuse view factor. 

By analysing structural parameters of more than 100 Tc compounds and using the cone packing model, a stability indicator of the Tc compounds has been derived . This is based on the solid angle factor sum (SAS), calculated from the van der Waals radii and bond lengths between all the coordinating atoms and Tc. The average SAS value is 0.97 0.13, which is very close to the theoretically optimal value 1.00. 

The calculation of radiative exchange between two surfaces requires a quantity that describes the influence of their position and orientation. This is the view factor, which is also known by the terms configuration factor or angle factor. The view factor indicates to what extent one surface can be seen by another, or more exactly, what proportion of the radiation from surface 1 falls on surface 2. 

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