Quantum Energy

The Photon Energy calculator computes radiant energy in the Planck-Einstein relationship (E = h•ν) based on Planck's constant (h) and a frequency of radiation (ν).

INSTRUCTIONS: Choose units and enter the following:

• (ν)  Frequency of Radiation (light)

Photon Energy (E): The calculator returns the energy in electron volts (eV).  However, this can be automatically converted to other energy units via the pull-down menu.

The Math / Science

The Photon Energy formula  E = h•ν is used to compute radiant energy in  joules based on Planck's constant and a frequency of radiation in hertz.

Max Planck provided the photon energy equation which calculated energy in Joules from: his constant Planck's constant, and the frequency in Hertz.  The formula is:

     E = h•ν

where:

• E is the energy of the photon
• h is Planck's constant which is equal to 6.63e^-34 J*s
• v is the frequency in hertz.

In 1900, German physicist Max Planck provided the solution and launched a new era in physics with an idea that departed drastically from accepted concepts. Classical physics assumed that radiant energy was continuous; that is, it could be emitted or absorbed in any amount. Based on data from blackbody radiation experiments, Planck proposed that radiant energy could be emitted or absorbed only in discrete quantities, like small packages or bundles. Planck gave the name quantum to the smallest quantity of energy that can be emitted in the form of electromagnetic radiation. His theory gave rise to this equation.

Mass-Energy-Light Calculators

• E = m•c² (mass/energy equivalent)
• m = E/c² (mass from energy)
• E = m•γ•c² (mass/energy equivalent not at rest)
• E = h•ν (Quantum Energy)
• p = m•γ•v (Relativistic Momentum)
• c (Speed of light) = 2.99792458E8 m/s
• c² (Speed of Light Squared) = 931.46 MeV/u
• Lorentz factor (`gamma`)
• KE ≈ m(1+v²/(2c²)-1)c² (Relativistic Kinetic Energy)

Energy Calculators

• Kinetic Energy:                                    `KE= 1/2 *m * v^2`
• Kinetic Energy (change of velocity):    `KE = 1/2*m*(V_1-V_2)^2`
• Relativistic Kinetic Energy:                    `E_K = (m*c^2)/sqrt(1 - v^2"/"c^2") - m*c^2`
• Potential Energy:                                  `U(y) = m*g*y`
• Potential Energy of Gravity (two bodies):   `U(G) = - (G*m1*m2)/r`
• Nuclear Binding Energy:                       `E = m*c^2`
• Quantum Energy (Planck's Equation):   `E = h*f`
• Energy of a Particle in a Box:                `E_n=(n^2h^2)/(8mL^2)`
• Molecular Kinetic Energy:                      `KE = 3/2 * k_B *T`
• Electrostatic Potential Energy:               `E_(el) = k_e * (Q_1*Q_2)/d`
• Photon Energy from Wavelength:          `E = (h*c)/lambda`
• Heat Energy to Change Material Temperature:  `Q = C * m *DeltaT`

Energy, Photon and Wavelength Calculators

• Quantum Energy (E=h⋅v): Computes radiant energy in the Planck-Einstein relationship (E = h•ν) based on Planck's constant and a frequency of radiation.
• Energy of a Photon (E=h⋅f): Computes the energy of a photon based on the frequency and Planck's Constant.
• Photon Energy from Wavelength (E=(h⋅c)/λ): Computes the energy of a photon based on Planck's constant (h), the speed of light (c) and the wavelength of the photon ( λ)
• Photon Wavelength form Energy (λ=(h⋅c)/E): Computes the wavelength of a photon based on Planck's constant (h), the speed of light (c) and the energy of the photon (E).
• DeBroglie Wavelength (λ=h/(m⋅v)): Computes the wavelength of a particle based on the Planck's Constant and momentum (p = m•v).
• Plank Constant (h):  Fundamental constant in physics that plays a central role in quantum mechanics which relates the energy of a photon to its frequency

Reference

• en.wikipedia.org/wiki/Planck-Einstein relation