Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Free isotropic Brownian diffusion without drift. Localization error, confinement and anomalous diffusion are excluded.
Example Calculation
- Mean squared displacement: 12 µm²
- Elapsed time: 2 s
- Spatial dimensions: 3
Mean squared displacement = 12; Elapsed time = 2; Spatial dimensions = 3. Primary result: 1.
Frequently asked questions
How do I use this calculator?
Enter mean squared displacement, elapsed time, spatial dimensions. The result updates automatically. Use Reset to restore the example values.
What method does it use?
D=MSD/(2 ×dimensions ×time).. Free isotropic Brownian diffusion without drift. Localization error, confinement and anomalous diffusion are excluded.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.