Aerosol Bin Log Width Tool

Description

Return logarithmic diameter-bin width in a supplied base.

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 logarithmic diameter-bin width in a supplied base.

When to use this tool

Use Aerosol Bin Log Width when checking the stated particle, droplet, drag, growth or bin-basis convention.

How to use the tool and how it works

Enter lowerDiameter, upperDiameter, logBase. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read width. Use the output convention below.

Return logarithmic diameter-bin width in a supplied base. Require lowerDiameter > 0, upper >= lower and logBase > 1; width = ln(upper/lower)/ln(base), using log1p for finite relative width.^[1]

Input field	Meaning and units	Accepted input
lowerDiameter	Lower Diameter	Required. Finite number; strictly above 0.
upperDiameter	Upper Diameter	Required. Finite number.
logBase	Log Base	Required. Finite number; strictly above 1.

Output field	Interpretation	Returned shape
width	Interval, bin, geometry or dimension width under the specific convention above.	Required. Finite number.

json

{
  "input": {
    "lowerDiameter": 1,
    "upperDiameter": 4,
    "logBase": 2
  },
  "output": {
    "width": 2
  }
}

Limitations and assumptions

Equal bounds give zero width; no per-log-bin concentration, size distribution or instrument response is computed.
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

Calculation and input contract: atmospheric-chemistry/aerosol-bin-log-width — tool.io

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