Quick Answer
Calculate Ion Implanter Beam Scanning Dose Uniformity Standard Deviation Model
Calculator
Need Equipment or a Supplier for This Project?
Use your calculation result to continue with equipment selection, supplier discovery, engineering support, or project evaluation.
Find Engineering Solutions →Result Interpretation
Ion Implanter Beam Scanning Dose Uniformity Standard Deviation Model calculator computes Dose Uniformity Standard Deviation in 1 using the defined engineering formula and the input values provided. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Nominal Beam Current Density = 1.5
- Beam Current Density Standard Deviation = 0.045
- Raster Scan Step Size = 0.0012
- Gaussian Beam Radius (1/e^2) = 0.0025
- Number of Scans per Pass = 8
Expected Result:
- Dose Uniformity Standard Deviation = 0.24454464486742
Engineering Interpretation:
Under the given input conditions, the calculated result is: Dose Uniformity Standard Deviation = 0.24454464486742.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
dose uniformity standard deviation = sqrt(pow(beam current density standard deviation / nominal beam current density, 2) + pow(raster scan step size / (2.0 * 1/e^2), 2) + pow(1.0 / (2.0 * sqrt(3.0) * number of scans per pass), 2))Formula family: formula_microelectronics_ion_implanter_beam_current_density_vs_dose_uniformity_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| beam_current_density_nominal | Nominal Beam Current Density | INPUT | Nominal Beam Current Density |
| beam_current_density_stddev | Beam Current Density Standard Deviation | INPUT | Beam Current Density Standard Deviation |
| scan_step_size | Raster Scan Step Size | INPUT | Raster Scan Step Size |
| beam_radius | Gaussian Beam Radius (1/e^2) | INPUT | Gaussian Beam Radius (1/e^2) |
| num_scans_per_pass | Number of Scans per Pass | INPUT | Number of Scans per Pass |
| dose_uniformity_stddev | Dose Uniformity Standard Deviation | OUTPUT | Dose Uniformity Standard Deviation |
Calculation Steps
- Enter the nominal beam current density in A/m^2.
- Enter the beam current density standard deviation in A/m^2.
- Enter the raster scan step size in m.
- Enter the gaussian beam radius (1/e^2) in m.
- Enter the number of scans per pass in 1.
- Step 1: Compute dose uniformity standard deviation.
- Read the dose uniformity standard deviation (1) from the results.
Engineering Summary
Calculate Ion Implanter Beam Scanning Dose Uniformity Standard Deviation Model
Frequently Asked Questions
What does this calculator calculate?
The Ion Implanter Beam Scanning Dose Uniformity Standard Deviation Model calculator estimates Dose Uniformity Standard Deviation based on the input parameters you provide
Why is nominal beam current density important in this calculation?
nominal beam current density is used directly in the calculation of dose uniformity standard deviation. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter nominal beam current density in A/m^2, the calculator uses it in the engineering formula to compute the output
How should I interpret the result dose uniformity standard deviation?
The calculator outputs dose uniformity standard deviation. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Nominal Beam Current Density (A/m^2), Beam Current Density Standard Deviation (A/m^2), Raster Scan Step Size (m), Gaussian Beam Radius (1/e^2) (m). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
Related Tools
Ion Implanter Projected Range Straggle from Energy Spread and Reference Parameters calculator
Etch Selectivity Calculator (Film:Mask) calculator
Etch Selectivity Ratio for Film-to-Underlayer in Plasma Etching calculator
Photolithography Depth of Focus vs. Numerical Aperture Tradeoff calculator
Thermal Resistance of Cylindrical Solder Bump (Flip-Chip) calculator
Browse More Tools
Explore the full index of engineering calculators on this vertical site.