## Light Energy Model

Since there are infinite particles emitting light, the light is the result of all the finite light elements. Every finite light element is defined by a specific set of properties, including the element particle size, mass, and temperature, and each light element corresponds to a particle. The total light brightness is the sum of the brightness of all the light elements. The resulting light color corresponds to the spectral balance that is characteristic to the emitting material.

Light intensity (or energy), efficiency, and quality are functions of the light source composition. The light source is composed of

Artificial homogeneous toxic harmful inefficient

Figure 6.12 Artificial light pathway.

Artificial homogeneous toxic harmful inefficient

Figure 6.12 Artificial light pathway.

infinite particles with different sizes, d., masses, m., and temperatures, T. The light source mass equals:

A particle energy function equals:

E^aJ, (6.2) where a. is a contant, and f. is the frequency for the particle i.

The light energy of a particle i is also defined as follows:

l Jit where v. is the speed of the particle i. Equation 6.3 yields:

Then, the frequency /_ for the particle i comes to:

a, where b., p., and q. are the constants defining the particle composition and properties.

As a result, the particle speed v. amounts to:

The total light energy is the sum of all particle energy values:

The wavelength is the inverse of the frequency:

where v. is the speed of the particle i:

and I is the distance traveled by the particle /, and f is the travel time.

The distance traveled by a particle i is a function of its size, d., mass, m., and temperature, T. The particle mass m. depends on the particle composition. Since this particle i consists of the smallest particle in the universe, its composition is unique and corresponds to one material.

The density of the particle i is:

where V. is the particle volume:

and a. and p. are the particle size constants.

The distance traveled by light particle is described by:

which is equivalent to:

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