Target TI Calculator for Sputtering Deposition
Estimate the deposition rate of Titanium (Ti) thin films in your PVD system.
Sputtering Rate Estimator
The electrical power applied to the titanium target. Unit: Watts (W).
The diameter of the circular titanium sputtering target. Unit: millimeters (mm).
The distance from the target surface to the substrate. Unit: millimeters (mm).
The base pressure of the process gas (e.g., Argon). Unit: millitorr (mTorr).
Power Density (W/cm²)
Mean Free Path (cm)
Gas Scattering Factor
This target ti calculator provides an estimation based on a simplified empirical model. Actual rates vary based on system geometry and specific process conditions.
What is a Target TI Calculator?
A Target TI Calculator is a specialized tool designed for physicists, engineers, and technicians working in the field of material science, specifically in thin-film deposition. “TI” refers to the chemical symbol for Titanium, a common material used as a “target” in a process called sputtering. This calculator helps estimate the deposition rate—how quickly a layer of titanium is grown on a surface (substrate)—based on key process parameters.
This process is fundamental in manufacturing semiconductors, optical lenses, medical implants, and wear-resistant coatings. Accurately predicting the deposition rate is crucial for controlling film thickness, ensuring product quality, and optimizing manufacturing time. This target ti calculator simplifies the complex physics into an accessible estimation tool.
Target TI Calculator Formula and Explanation
The calculation is based on a simplified empirical model that connects the primary process inputs to the deposition rate. The formula used is:
Rate (R) ≈ KTi × Power Density × Fpressure × Fdistance
This equation breaks down as follows:
- Power Density (Pd): The amount of power concentrated on the target surface, calculated as Power / Target Area. Higher power density ejects more titanium atoms.
- Gas Scattering Factor (Fpressure): An attenuation factor based on chamber pressure. Higher pressure increases the chance that sputtered titanium atoms will collide with gas atoms and not reach the substrate. It is modeled as 1 / (1 + kp × p).
- Distance Factor (Fdistance): An attenuation factor based on the inverse square law. As the distance from the target to the substrate increases, the density of the sputtered atom cloud decreases significantly. It’s modeled as 1 / d².
- KTi and kp: These are empirical constants specific to Titanium sputtering in an Argon environment, derived from experimental data.
| Variable | Meaning | Unit (Auto-Inferred) | Typical Range |
|---|---|---|---|
| P | Sputtering Power | Watts (W) | 100 – 2000 W |
| D | Target Diameter | millimeters (mm) | 50 – 300 mm |
| d | Target-Substrate Distance | millimeters (mm) | 50 – 200 mm |
| p | Chamber Pressure | millitorr (mTorr) | 1 – 20 mTorr |
| R | Deposition Rate | nanometers/second (nm/s) | 0.1 – 2.0 nm/s |
Practical Examples
Let’s explore how changing parameters affects the outcome with this target ti calculator.
Example 1: High-Rate Industrial Coating
Objective: Quickly apply a thick, wear-resistant titanium coating.
- Inputs:
- Sputtering Power: 1500 W
- Target Diameter: 150 mm
- Target-Substrate Distance: 80 mm
- Chamber Pressure: 3 mTorr
- Results:
- Power Density: ~8.5 W/cm²
- Estimated Deposition Rate: ~1.15 nm/s
- Analysis: High power and a relatively close distance result in a high deposition rate, suitable for rapid manufacturing. See how this works with our coating thickness calculator.
Example 2: Deposition on a Sensitive Substrate
Objective: Deposit a thin, high-quality titanium film on a heat-sensitive polymer substrate.
- Inputs:
- Sputtering Power: 300 W
- Target Diameter: 75 mm
- Target-Substrate Distance: 150 mm
- Chamber Pressure: 7 mTorr
- Results:
- Power Density: ~6.8 W/cm²
- Estimated Deposition Rate: ~0.15 nm/s
- Analysis: Lower power reduces heat load on the substrate, while the increased distance and pressure further lower the deposition rate, allowing for precise control over a very thin film. This process is key for understanding material property analysis.
How to Use This Target TI Calculator
- Enter Sputtering Power: Input the total power in Watts (W) that your power supply delivers to the titanium target.
- Enter Target Diameter: Input the diameter of your circular Ti target in millimeters (mm). The calculator uses this to determine power density.
- Enter Target-Substrate Distance: Measure and input the distance from the face of the Ti target to the surface of your substrate in millimeters (mm).
- Enter Chamber Pressure: Input the working gas pressure during the sputtering process. This is typically measured in millitorr (mTorr).
- Interpret the Results: The calculator instantly provides the estimated deposition rate in nanometers per second (nm/s), along with key intermediate values like power density. The chart visualizes how the rate changes with power.
Key Factors That Affect Titanium Sputtering
While this target ti calculator models the most significant variables, several other factors can influence the actual deposition rate.
- Sputtering Gas: This calculator assumes Argon (Ar), the most common choice. Using other gases like Krypton (Kr) or Nitrogen (N₂) for reactive sputtering will change the sputter yield and deposition rate.
- Magnetic Field Strength: In magnetron sputtering, stronger magnetic fields confine plasma more effectively, increasing ion bombardment and thus the rate.
- Target Condition: The purity, density, and surface condition of the titanium target affect its sputtering characteristics. A worn-out target with an uneven surface (racetrack) will perform differently.
- System Geometry: The physical design of the vacuum chamber, the specific type of magnetron, and the presence of shields or other components can all alter the path of sputtered atoms.
- Substrate Temperature: While it has a lesser effect on the deposition rate itself, substrate temperature heavily influences the final film’s crystal structure, adhesion, and stress.
- Reactive Gases: Introducing gases like Nitrogen or Oxygen to form Titanium Nitride (TiN) or Titanium Dioxide (TiO₂) will consume some of the sputtered Ti atoms, altering the deposition rate of the pure metal. Explore this with a reactive sputtering calculator.
Frequently Asked Questions (FAQ)
1. How accurate is this target ti calculator?
This calculator provides a scientific estimation based on a widely accepted empirical model. However, real-world deposition rates can vary by 10-30% or more due to factors like specific system geometry, magnetic field configuration, and target erosion. It’s best used for process optimization and “what-if” scenarios rather than a guarantee of exact thickness.
2. Can I use this calculator for a rectangular target?
No, this calculator is specifically designed for circular targets, as it uses the diameter to calculate the area for power density. A different formula would be needed for rectangular geometries.
3. What is “sputter yield”?
Sputter yield is the number of atoms ejected from the target material for each ion that strikes it. It’s a fundamental property that depends on the target material (Titanium), the ion (e.g., Argon), and the ion’s energy.
4. Why does higher pressure decrease the deposition rate?
While some pressure is needed to create the plasma, too much pressure increases the density of gas atoms between the target and substrate. Sputtered titanium atoms are more likely to collide with these gas atoms, lose energy, and get scattered away from the substrate, reducing the deposition rate.
5. Are the units important?
Yes, extremely. The calculation depends on the specific units of W, mm, and mTorr. Using different units (e.g., inches for distance or Pascals for pressure) without conversion will produce incorrect results.
6. What is the “mean free path”?
The mean free path is the average distance a sputtered atom can travel before it collides with a gas atom. It’s inversely proportional to pressure. The calculator shows this to help you understand the gas scattering effect.
7. Can I use this calculator for other materials like Aluminum or Silicon?
No. The internal constants (KTi) are calibrated specifically for titanium sputtering. Other materials have different sputter yields and would require a different calculator, such as an aluminum sputtering calculator.
8. What is a sputtering “target”?
In this context, a target is a piece of high-purity source material (in this case, titanium) that is bombarded by ions to generate a vapor for thin-film deposition. Think of it as the “source” of the coating material.