Doppler Cooling Limit
Calculate the two-level Doppler cooling limit from natural linewidth in hertz.
Description
A two-level Doppler cooling limit uses natural linewidth in cycles per second.
A two-level Doppler cooling limit uses natural linewidth in cycles per second. The h-based formula already converts the angular-linewidth convention.1
Calculate the two-level Doppler cooling limit from natural linewidth in hertz.
When to use Doppler Cooling Limit
Use this tool to calculate the two-level Doppler cooling limit from natural linewidth in hertz.
Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
How to use Doppler Cooling Limit and understand its results
- Prepare the optical measurements, geometry, fitted coefficients or caller-selected thresholds requested. Confirm wavelength, radius/diameter, pulse-width, angle and unit conventions before running the calculation.
- Enter naturalLinewidthHertz using the field table and calculation rules, then run the tool.
- Read dopplerLimitKelvin, dopplerLimitMicrokelvin. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| naturalLinewidthHertz | Natural linewidth (Hz) | number; minimum: 0 | Required |
Enter nonnegative Hz linewidth. Return kelvin and µK using h=6.62607015e−34 J·s and kB=1.380649e−23 J/K.
temperature=h×linewidthHz/(2kB) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| dopplerLimitKelvin | Doppler cooling limit (K) | number; minimum: 0 |
| dopplerLimitMicrokelvin | Doppler cooling limit (µK) | number; minimum: 0 |
{
"input": {
"naturalLinewidthHertz": 10000000
},
"output": {
"dopplerLimitKelvin": 0.00023996215366831104,
"dopplerLimitMicrokelvin": 239.96215366831103
}
}Limitations and assumptions
Do not enter rad/s without conversion. Multilevel, recoil, sub-Doppler and practical cooling effects are excluded.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Saturation Crossover Frequency: Calculate the saturated-absorption crossover frequency between two transitions. For a complementary task, use He–Cd Line Selector: Select the nearer common He–Cd line to a requested wavelength.
References
-
Doppler Cooling Limit — tool.io
Similar or alternative tools
- Saturation Crossover Frequency
Calculate the saturated-absorption crossover frequency between two transitions.
- He–Cd Line Selector
Select the nearer common He–Cd line to a requested wavelength.