14 nm equals approximately 0.0000000014 watts.
Table of Contents
Converting nanometers (nm) to watts involves a complex relationship because nanometers measure length, while watts measure power, which are different physical quantities. However, in specific contexts like photon energy, you can relate wavelength in nm to power in watts through the energy of light and its flux.
Conversion Result and Explanation
The calculation indicates that 14 nm corresponds to about 1.4 × 10⁻⁹ watts when considering photon energy at that wavelength. This conversion is based on the energy of individual photons with that wavelength and the light’s intensity or flux involved in the measurement.
Conversion Tool
Result in watt:
Conversion Formula
The formula to convert nanometers to watts involves calculating the energy of a photon at that wavelength, which is E = hc/λ, where h is planck’s constant, c is the speed of light, and λ is wavelength in meters. The power depends on photon flux, but for simplicity, assuming flux of 1 photon/sec, the conversion gives energy per second.
Example: For 14 nm, convert to meters: 14 × 10⁻⁹ m.
Then, E = (6.626 × 10⁻³⁴ Js × 3 × 10⁸ m/s) / 14 × 10⁻⁹ m = approximately 1.42 × 10⁻¹⁸ Joules.
If flux is 1 photon/sec, resulting power = 1.42 × 10⁻¹⁸ Watts.
Conversion Example
– Convert 20 nm to watt:
– Wavelength in meters: 20 × 10⁻⁹ m
– Energy per photon: (6.626 × 10⁻³⁴ × 3 × 10⁸) / 20 × 10⁻⁹ = approximately 9.94 × 10⁻¹⁸ Joules
– Power with 1 photon/sec flux: 9.94 × 10⁻¹⁸ watts
– Convert 50 nm to watt:
– Wavelength in meters: 50 × 10⁻⁹ m
– Energy: (6.626 × 10⁻³⁴ × 3 × 10⁸) / 50 × 10⁻⁹ = approximately 3.98 × 10⁻¹⁸ Joules
– Power: 3.98 × 10⁻¹⁸ watts
– Convert 100 nm to watt:
– Wavelength in meters: 100 × 10⁻⁹ m
– Energy: (6.626 × 10⁻³⁴ × 3 × 10⁸) / 100 × 10⁻⁹ = approximately 1.99 × 10⁻¹⁸ Joules
– Power: 1.99 × 10⁻¹⁸ watts
Conversion Chart
| Wavelength (nm) | Power (watt) |
|---|---|
| -11.0 | Approx. 1.01 × 10⁻²⁷ |
| -10.0 | Approx. 1.99 × 10⁻²⁷ |
| -9.0 | Approx. 3.96 × 10⁻²⁷ |
| -8.0 | Approx. 7.91 × 10⁻²⁷ |
| -7.0 | Approx. 1.58 × 10⁻²⁶ |
| -6.0 | Approx. 3.16 × 10⁻²⁶ |
| -5.0 | Approx. 6.32 × 10⁻²⁶ |
| -4.0 | Approx. 1.26 × 10⁻²⁵ |
| -3.0 | Approx. 2.52 × 10⁻²⁵ |
| -2.0 | Approx. 5.03 × 10⁻²⁵ |
| -1.0 | Approx. 1.01 × 10⁻²⁴ |
| 0.0 | Approx. 2.01 × 10⁻²⁴ |
| 10.0 | Approx. 2.01 × 10⁻²² |
| 20.0 | Approx. 9.94 × 10⁻²² |
| 30.0 | Approx. 6.64 × 10⁻²² |
| 39.0 | Approx. 4.09 × 10⁻²² |
Use this chart to estimate power in watt for wavelengths between -11 and 39 nm, assuming flux of one photon per second. For other flux values, multiply the result accordingly.
Related Conversion Questions
- How many watts correspond to 14 nm wavelength with a flux of 100 photons per second?
- What is the energy in watts for a photon at 14 nm wavelength?
- How does changing wavelength from 14 nm to 20 nm affect the wattage?
- Can I convert nanometers to watts for laser power measurements?
- What is the typical watt output of UV light at 14 nm wavelength?
- How do I calculate wattage from nm in optical applications?
- Is there a direct way to convert nm to watt for light sources?
Conversion Definitions
nm: Nanometer (nm) is a unit of length equal to one-billionth of a meter, commonly used to measure wavelengths of light, especially ultraviolet, visible, and infrared radiation. It indicates the distance between successive wave peaks.
watt: Watt (W) is a power measurement representing the rate of energy transfer or conversion per second, used in electrical, mechanical, and optical systems, including light intensity and energy output.
Conversion FAQs
How does wavelength in nm affect the power in watts for a light source?
The wattage related to a wavelength depends on the photon energy, which is inversely proportional to the wavelength. Shorter wavelengths like UV (lower nm) have higher photon energy, thus potentially higher wattage if flux is constant, but actual power depends on flux.
Why is the conversion from nm to watt not straightforward?
Because nm measures length of light wave, whereas watt measures power, which involves flux or number of photons emitted per second. Without knowing flux, only approximate energy per photon can be calculated, making direct conversion complex.
Can I use this conversion for all types of light sources?
This conversion applies mainly to monochromatic light sources where wavelength and photon flux are known. For broad-spectrum sources, total wattage requires integrating across the spectrum, making this method less accurate.