Diffusion Time Calculator
D must be in cm²/s. Distance (x) and Time (t) can be in any unit.
No scientific notation with ×, use 1.3e-5 instead.
What Is a Diffusion Time Calculator?
The Diffusion Time Calculator helps estimate how long it takes particles to diffuse over a given distance through a medium. Based on the classical diffusion equation t ≈ x² / 2D, this tool lets you solve for time, distance, or the diffusion coefficient by entering any two values.
How to Use the Calculator
To use this calculator, input any two of the following:
- Diffusion Coefficient (D) – in cm²/s (e.g., gases in air, molecules in solution)
- Diffusion Distance (x) – in nm, μm, mm, cm, or m
- Diffusion Time (t) – in ns, μs, ms, s, min, hr, or day
The calculator automatically detects the missing variable and solves for it using the appropriate conversions and the formula. It supports scientific input (e.g., 1.3e-5) but not notation using symbols like ×.
Diffusion Equation Used
This tool is based on a simplified form of Fick’s second law:
t = x² / 2D
Where:
- t = diffusion time (in seconds)
- x = distance traveled (in centimeters)
- D = diffusion coefficient (in cm²/s)
It assumes diffusion in one dimension with uniform concentration gradients, commonly used in molecular biology, physiology, or physical chemistry studies.
Features of This Tool
- Solves for any one unknown (D, x, or t)
- Handles multiple units for time and distance
- Simple and fast interface with real-time output
- Displays clear result with proper unit formatting
- Shows the calculation formula used
This calculator is perfect for researchers, students, or educators working with molecular diffusion, nanoparticle movement, or membrane transport studies.