GM Cross-Section Converter

Convert Goeppert–Mayer units to two-photon cross-section units.

Description

Goeppert–Mayer units express two-photon absorption cross section.

Goeppert–Mayer units express two-photon absorption cross section. Converting cm⁴ to m⁴ introduces an additional factor of 1e−8.1

Convert Goeppert–Mayer units to two-photon cross-section units.

When to use GM Cross-Section Converter

Use this tool to convert Goeppert–Mayer units to two-photon cross-section units.

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 GM Cross-Section Converter and understand its results

  1. 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.
  2. Enter crossSectionGm using the field table and calculation rules, then run the tool.
  3. Read crossSectionCm4SPerPhoton, crossSectionM4SPerPhoton. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. 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 fieldMeaningValue type; see rules belowRequirement
crossSectionGmTwo-photon cross section (GM)number; minimum: 0Required

Enter nonnegative GM value. Return the two cross-section unit values.

1 GM=1e−50 cm⁴·s/photon=1e−58 m⁴·s/photon

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output fieldMeaningValue type
crossSectionCm4SPerPhotonCross section (cm⁴·s/photon)number; minimum: 0
crossSectionM4SPerPhotonCross section (m⁴·s/photon)number; minimum: 0
json
{
  "input": {
    "crossSectionGm": 2
  },
  "output": {
    "crossSectionCm4SPerPhoton": 2e-50,
    "crossSectionM4SPerPhoton": 2e-58
  }
}

Limitations and assumptions

No cross-section measurement, wavelength dependence or two-photon rate is calculated.

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 Polymerization Voxel Size: Calculate two-photon-polymerization voxel aspect ratio and ellipsoidal volume. For a complementary task, use Two-Photon Depth Comparison: Compare measured two-photon and confocal imaging depths.

References

  1. GM Cross-Section Converter — tool.io

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