Description
Return particle-bin geometric midpoint and natural-log width.
Particle and droplet terms depend on size representation, weights, density, drag and logarithmic-bin conventions. A spherical growth or low-Reynolds approximation is a local model term rather than a measured size distribution, composition or health/exposure assessment.
Return particle-bin geometric midpoint and natural-log width.
When to use this tool
Use Particle Size Bin Geometric Midpoint when checking the stated particle, droplet, drag, growth or bin-basis convention.
How to use the tool and how it works
- Enter lowerDiameter, upperDiameter. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read midpoint, logWidth. Use the output convention below.
Return particle-bin geometric midpoint and natural-log width. Require lowerDiameter > 0 and upperDiameter >= lower; midpoint = sqrt(lower)*sqrt(upper), logWidth = ln(upper/lower).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| lowerDiameter | Lower Diameter | Required. Finite number; strictly above 0. |
| upperDiameter | Upper Diameter | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| midpoint | Midpoint | Required. Finite number. |
| logWidth | Log Width | Required. Finite number. |
{
"input": {
"lowerDiameter": 1,
"upperDiameter": 9
},
"output": {
"midpoint": 3,
"logWidth": 2.1972245773362196
}
}Limitations and assumptions
- Equal bounds give zero width; no representative particle distribution, bin-density normalization or instrument size response is inferred.
- 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 verified particle measurements and an appropriate complete distribution/transport model with justified material, shape and flow assumptions for atmospheric inference.
References
Similar or alternative tools
- Aerosol Bin Log Width
Return logarithmic diameter-bin width in a supplied base.
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Calculate aerosol neutralization equivalent balance from explicit caller-supplied inputs.