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Photon Number Density Energy Density Factor Tool

Convert a monochromatic photon number density and joules per photon into joules per cubic metre.

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Description

Convert photon-number density at one supplied energy to energy density.

Spectral and radiation quantities depend on their denominator coordinates, reference levels and physical definitions. A density per wavelength changes by a Jacobian when expressed per frequency, and photon counts, radiant energy, exposure and absorbed dose remain different quantities.

Convert photon-number density at one supplied energy to energy density.

When to use this tool

Use Photon Number Density Energy Density Factor when checking the stated spectral, photon, attenuation or radiometric conversion.

How to use the tool and how it works

  1. Enter numberDensity, photonEnergy. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read energyDensity. Use the output convention below.

Convert photon-number density at one supplied energy to energy density. Require numberDensity/photonEnergy >= 0; energyDensity is their product.1

Input fieldMeaning and unitsAccepted input
numberDensityNumber DensityRequired. Finite number; minimum 0.
photonEnergyPhoton EnergyRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
energyDensityEnergy DensityRequired. Finite number.
json
{
  "input": {
    "numberDensity": 20,
    "photonEnergy": 0.5
  },
  "output": {
    "energyDensity": 10
  }
}

Limitations and assumptions

  • Use particles/m³ and joules per photon for J/m³; a broad photon spectrum needs a suitable mean or integral.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a complete spectrum, measurement calibration and appropriate physical interaction model for integration, uncertainty or exposure interpretation.

References

  1. Calculation and input contract: convert/photon-number-density-energy-density-factor — tool.io

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