Use this chemistry calculator to reproduce a named relationship with explicit quantities and units for study, laboratory planning, or an independent numerical check.

Mean squared displacement (cm²)

Mean squared displacement in cm².

Time (s)

Elapsed diffusion time; must be greater than zero.

Dimensions

Dimensionality of diffusion (1, 2, or 3).

Compute the diffusion coefficient from mean squared displacement via D = ⟨x²⟩/(2·d·t). The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Diffusion coefficient (cm²/s)

Diffusion coefficient in cm²/s.

• Thermodynamic quantities are state- and temperature-dependent and must use consistent reference states and sign conventions. Heat loss, phase changes, non-ideal mixing, path-dependent work, and heat-capacity variation may need separate treatment.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check units and significant figures, compare the result with limiting cases, and use measured or source-specific constants where available. Laboratory, safety, and regulatory decisions require validated methods and appropriate uncertainty analysis.

• Mean Ionic Activity

  Compute the mean ionic activity coefficient for a 1:1 electrolyte as the square root of the cation and anion coefficient product.

• Activity Coefficient From Gamma Input

  Compute the ionic activity as the activity coefficient times the molar concentration.

• Analytical Relative Standard Deviation

  Calculate relative standard deviation from a supplied sample standard deviation and mean: RSD%=100s/|mean|. The mean cannot be zero; this is a precision measure, not an accuracy estimate.