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Calcimator

AFM Tip Convolution Calculator

Deconvolved feature width from AFM tip radius correction.

Inputs

Results

Real Width (nm)

35.86

Tip Broadening (nm)

14.14

Broadening (%)28.3
Feature Aspect Ratio0.14
Tip Can Resolve? (1=Yes)1
Lateral Resolution (nm)1.41
Max Resolvable AR0.32
How to Use This Calculator
  1. Enter the AFM tip radius (nm) from the manufacturer's specification or SEM measurement.
  2. Enter the apparent (measured) feature width (nm) and feature height (nm) from your scan.
  3. Set the scan rate (Hz) to check if tip velocity limits resolution for your sample.
  4. Review the real (tip-deconvoluted) feature width, tip broadening (nm and %), and aspect ratio.
  5. If broadening exceeds 30%, use a sharper tip (smaller radius) or apply tip deconvolution algorithms.

How the result changes with Apparent Width (nm)

Apparent Width (nm)Real Width (nm)Tip Broadening (nm)
1,000985.8614.14
3,5003,485.8614.14
6,5006,485.8614.14
9,0008,985.8614.14

What each input means

Tip Radius (nm)
AFM probe tip radius. Standard Si: 7-10 nm, worn: 20-50 nm.
Apparent Width (nm)
Measured feature width from AFM image.
Feature Height (nm)
Measured feature height from AFM.
Scan Rate (Hz)
Line scan frequency.

What each result means

Real Width (nm)
Deconvolved true feature width.
Tip Broadening (nm)
Width added by tip convolution: 2√(R·h).
Broadening (%)
Broadening as percentage of apparent width.
Feature Aspect Ratio
Height / true width.
Tip Can Resolve? (1=Yes)
Whether tip geometry allows faithful imaging.
Lateral Resolution (nm)
Theoretical lateral resolution limit.
Max Resolvable AR
Maximum aspect ratio for standard Si tip (17.5° half-angle).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Tip Radius (nm) = 10, Apparent Width (nm) = 50, Feature Height (nm) = 5, Scan Rate (Hz) = 1 = 4 input(s) provided
  2. Calculate Real Width
    35.86 = 35.86
  3. Calculate Tip Broadening
    Tip Broadening = 2 * sqrt(tipRadiusNm * featureHeightNm)
    14.14 = 14.14
  4. Calculate Broadening
    28.3 = 28.3
  5. Calculate Feature Aspect Ratio
    Feature Aspect Ratio = featureHeightNm / max(0.01, realWidth)
    0.139 = 0.139

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