How to Convert Nanometers to Joules

How to Convert Nanometers to Joules
••• Yarygin/iStock/GettyImages

Nanometers measure the length of very small magnitudes, such as wavelengths. A joule, abbreviated as J, is a unit of energy in the metric system. The conversion between nanometers and joules is important in physics because scientists often need to calculate the energy of electromagnetic radiation from the wavelength. To do this, you apply the following formula derived from Planck's equation:


    Retrieve the Planck constant value: h = 6.626 069 57 x10-34 J s.

    Get the speed of light constant: c = 299,792,458 m/s.

    Multiply the Planck constant by the speed of light. Work out:

    hc=6.62606957 \times 10^{-34}\times 299,792,458 = 1.98645 \times 10^{-25}\text{ Jm}

    Divide the wavelength in nanometers by 109 to calculate the value in meters. For example, the wavelength of 500 nm corresponds to:

    \frac{500}{10^9}=5\times 10^{-7}\text{ m}

    Divide the product of the constants by the wavelength in meters to calculate the energy in Joules. In this example, the energy is:

    E=\frac{1.98645\times 10^{-25}}{5\times 10^{-7}}=3.973\times 10^{-19}\text{ J}

Related Articles

How to Calculate the Energy of Photons
How to Convert Photons to Joules
How to Calculate Hertz to Joules
How to Convert Joules to Grams
How to Calculate the Momentum of a Photon of Yellow...
How to Convert Lux to Candela
How to Calculate Energy With Wavelength
How to Convert Candle Power to Lumens
How to Use Planck's Constant
How to Calculate Photons Per Second
How to Calculate the Energy of Photons
The Modern Theory of Light
How to Convert Foot-Candles to Lux
What Astronomical Instrument Measures the Brightness...
How to Convert Amu to Joule
How to Convert Hertz to Nanometers
What Is the Photosynthesis Equation?
What Is Nadph in Photosynthesis?
How Does the Sun Affect the Food Web?
Can We See Light Emitted by Hydrogen Atoms When They...

Dont Go!

We Have More Great Sciencing Articles!