Quantum Properties of Light

Planck Relation

Short Description of Topic

The Planck Relation helps us to be able to figure out the energy of a photon based on its frequency of radiation.

The Main Idea

State, in your own words, the main idea for this topic The energy of a photon is related to the frequency of its radiation by Planck's constant, h. This has a value of 6.626*10^-34 Joules*seconds. Planck's relation allows us to find the energy of a photon, or its frequency (the inverse of wavelength) of its radiation.

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

Hyper physics has a program that allows users to input wavelength, frequency, or energy and find out the other two values. http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3

Examples

Be sure to show all steps in your solution and include diagrams whenever possible

Simple

What is the energy in a single photon of yellow light? Orange light has a frequency of 435.75 THz.

E=hv

E=(6.626*10^-34)(435.75*10^12) =2.887*10^-18 Joules

Connectedness

This relation allows us to understand the photoelectric effect (why some metals emit electrons when light is shined on them) and Planck's Law of Black Body Radiation.

Every day in the biomedical device industry, new forms of treatment for cancer are being used. Proton emission therapy is a current method. If photons were ever used to combat disease, Planck's Relation could help engineers to calculate their energy or radiation frequency and wavelength in order to adjust these values to get the ones desired.

History

Max Planck, a German Scientist discovered Planck's Relation. He published his paper in 1900. He was doing research and realized that matter could only emit or absorb radiation at certain discrete energy levels. He found a constant that described the distance between the energy levels.

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See also

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Further reading

HyperPhysics page on Photoelectric Effect: http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3

External links

A thorough example of a problem calculating the energy in a mole of photons using Planck's Relation: [1]

References

http://hyperphysics.phy-astr.gsu.edu/hbase/mod2.html#c3 https://www.youtube.com/watch?v=dSUvyERhtO8 This section contains the the references you used while writing this page