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The Particle Nature of Light

While considering light as a wave explains much of its everyday behavior, it fails to

adequately describe important aspects of light’s interactions with matter. The wave

model of light cannot explain why heated objects emit only certain frequencies of light

at a given temperature, or why some metals emit electrons when light of a specific

frequency shines on them. Scientists realized that a new model or a revision of the wave

model of light was needed to address these phenomena.

The quantum concept

When objects are heated, they emit glowing light.

Figure 6

illustrates this phenomenon

with iron. A piece of iron appears dark gray at room temperature, glows red when

heated sufficiently, and turns orange, then bluish in color at even higher temperatures.

As the iron gets hotter, it has more energy and emits different colors of light. These

different colors correspond to different frequencies and wavelengths.

The wave model could not explain

the emission of these different

wavelengths. In 1900, German

physicist Max Planck (1858–1947)

began searching for an explana-

tion of this phenomenon. His

study led him to a startling

conclusion: matter can gain

or lose energy only in small,

specific amounts called quanta.

A quantum

is the minimum

amount of energy that can be

gained or lost by an atom.

Planck proposed that the energy

emitted by hot objects was quan-

tized. He also showed that there

is a direct relationship between

the energy of a quantum and the

frequency of emitted radiation.

Energy of a Quantum

E

quantum

=

h

ν

E

quantum

represents energy.

h

is Planck’s constant.

ν

represents frequency.

The energy of a quantum is given by the product of Planck’s constant and the frequency.

Planck’s constant,

h

, has a value of 6.626

×

10

-

34

J⋅s, where J is the symbol for joule, the

SI unit of energy. The equation shows that the energy of radiation increases as the

radiation’s frequency,

ν

, increases. According to Planck’s theory, for a given frequency,

ν

, matter can emit or absorb energy only in whole-number multiples of

h

ν

; that is, 1

h

ν

,

2

h

ν

, 3

h

ν

, and so on.

Figure 6 

The wavelength of the light emitted by heated metal, such as the

iron above, depends on the temperature. At room temperature, iron is gray.

When heated, it first turns red, then glowing orange.

Identify

the color of the piece of iron with the greatest kinetic energy.

Lesson 1 • Light and Quantized Energy 

111

©Jack Sullivan/Alamy