Wavelength to Energy Calculator
This is Omni's wavelength to energy calculator, a tool that instantly calculates a photon's energy from its wavelength. By using Planck's equation, this tool will help you determine a photon's energy in joules (J), electronvolts (eV), or its multiples.
In this article, you'll also find the Planck equation, a step-by-step guide on how to calculate the energy from the wavelength of a photon and how to get this result in joules or electronvolts.
The wavelength to energy formula - Planck's equation
Planck's equation, also known as Planck's relation, is an expression that allows you to define a photon's energy E in terms of its wave properties. Planck's relation states that the energy is directly proportional to its frequency :
Or inversely proportional to wavelength , by recalling the relationship between frequency and wavelength, :
- - Photon energy;
- - Planck's constant, 6.6261 x 10-34 J⋅s or 4.1357 x 10-15 eV⋅s;
- - Speed of light, 299792458 m/s;
- - Wavelength; and
- - Photon frequency.
Notice that if a photon's frequency or wavelength are known, you can directly determine its energy , since the other elements in the equation are constants.
🙋 The energy of a photon is commonly expressed using the unit electronvolt (eV), but it can also be expressed in other energy units, such as joules (J).
How do I calculate energy from wavelength?
To calculate a photon's energy from its wavelength:
- Multiply Planck's constant, 6.6261 × 10⁻³⁴ J⋅s by the speed of light, 299792458 m/s.
- Divide this resulting number by your wavelength in meters.
- The result is the photon's energy in joules.
More wavelength and energy calculators!
How do I find the energy in joules given the wavelength?
To find the energy in joules given the wavelength of a photon:
- Use Planck's equation
E = h x c / λand substitute the values of the wavelength (λ), Planck's constant in joules (h = 6.6261 × 10⁻³⁴ J⋅s), and speed of light (c = 299792458 m/s).
- With these units, you'll get an energy result in joules (J).
- That's it!
How do I convert wavelength to energy in eV?
In order to convert a wavelength to energy in electronvolts (eV):
- Utilize Planck's energy equation
E = h × c / λ.
- Substitute the values of the wavelength (λ), Planck's constant (h = 6.6261 × 10⁻³⁴ J⋅s), and speed of light (c = 299792458 m/s).
- You'll get a result in joules (J).
- To go from joules (J) to electronvolts (eV), use the conversion factor
1eV = 1.602176565 × 10⁻¹⁹ J.
- Finally, to express your result in electrovolts, divide the energy in joules by the conversion factor:
E [J] / 1.602176565e⁻¹⁹ J/eV = E [eV].
How do I calculate the energy of a photon of wavelength 3.5 μm?
To calculate the energy of a photon of wavelength 3.5 μm:
- Employ Planck's energy equation,
E = h × c / λ.
- Use the values of the wavelength λ = 3.5 μm, Planck's constant h = 6.6261 × 10⁻³⁴ J⋅s and speed of light c = 299792458 m/s.
- Substitute into Planck's equation,
E = 3.5 μm × (6.6261 × 10⁻³⁴ J⋅s) × (299792458 m/s).
- After performing the required operations, you'll get that the energy value is
E = 354.242 meV.
What is the energy of a 100 nm photon?
The energy of a 100 nm photon is 12.39847 eV or 1.99 × 10⁻¹⁸ J. To get this result:
- Employ Planck's equation,
E = h × c / λ:
- Where λ = 3.5 μm is the wavelength, h = 6.6261 × 10⁻³⁴ J⋅s Planck's constant and c = 299792458 m/s the speed of light.
E = 3.5 μm × (6.6261 × 10⁻³⁴ J⋅s) × (299792458 m/s) = 12.39847 eV.
- To express the result in joules, apply the conversion factor 1eV = 1.602176565 × 10⁻¹⁹ J,
E = 12.39847 eV x (1.602176565 x 10⁻¹⁹ J/eV) = 1.99 × 10⁻¹⁸ J.