Billiard ball analogy

Beryllium difiuoride, dipole in, 293 Berzelius, Jons, 30 Bessemer converter, 404 Beta decay, 417 Bela particle, 417 Bicarbonate ion, 184 Bidentaie. 395 Billiard ball analogy, 6, 18 and kinetic energy, 114 Billiard ball collision, conservation of energy in, 114 Binding energy, 121, 418 Biochemistry, 421 Bismuth, oxidation numbers, 414 Blast furnace, 404 Bohr, Niels, 259 Boiling point, 67 elevation, 325 normal, 68... 

Kelvin temperature scale, 58 Ketones, 334 Kerosene. 231, 341 Kilo, 40 Kilocalorie, 40 Kinetic energy, 53, 114 billiard ball analogy, 6, 114 distribution, 130, 131 formula for, 59 of a moving particle, 59 relation to temperature, 56, 131 Kinetic theory, 49, 52, 53 and Avogadro s Hypothesis, 58 review, 61... 

As we shall see over and over again, the simple picture of billiard-ball-like ions of invariant radius is easy to describe but generally unrealistic. The fluorides and oxides come closest to this picture, and so the values in Table 4.4 work best with them. Larger, softer anions in general will present more problems. Little work has been done in this area, but Shannon has presented a table, analogous to Table 4.4, for sulfides. 

In the discussion of dilute gases in sect 2.4.2 the corresponding surface area element is determined by the product da = bdbd(f>, as illustrated in Fig 2.10. For the billiard ball molecular model the link between the two surface element formulas when centered about the apse line is defined analogous to (2.159). 

In accordance with the ideas presented in sect 2.4.3, the corresponding dilute gas collision operator can be expressed analogous to (2.185). However, the operator is reformulated and defined in terms of k because the billiard ball molecular model is adopted. The details of the transformation is explained in sect. 2.11. The result is ... 

Neutrons are quantum entities, so they exhibit both particle-like and wave-like properties. For INS spectroscopy, the particle-like properties are relevant since the neutron- sample interaction occurs on a femtosecond timescale and the interaction can be considered to be analogous to billiard-ball scattering. 

NaBrKCl species. An analogy to the collision, bound molecule dynamics, and subsequent decay is a system of two balls, attached by a spring, colliding with two other such balls on a billiard table containing a deep hole in the center. The springs are breakable and endowed with the ability to exchange between pairs of particles. 

Firstly, analogies are never based on a full one-to-one fit between target and analog, so, there are always shared and unshared features. For instance, collisions between balls on a billiard or pool table can represent inter-atom collisions, but the air between the balls does not represent the vacuum between atoms. 

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