Governing Equations
Heckel Equation (density vs pressure):
ln(1/(1-D)) = K · P + A
where D = relative density, K = 1/(3·Py)
Py = yield pressure (inversely related to compressibility)
Kawakita Equation:
P/C = 1/(a·b) + P/a
where C = degree of volume reduction
a = total volume reduction under infinite pressure
b = plastic deformation resistance
Tablet Properties:
Hardness (N) ≈ k1 · P^0.5 · (1 - lub/10)
Friability (%) ≈ k2 / P · exp(lub/2)
Disintegration (min) ≈ k3 · P^0.3 · size^0.1 · (1 + lub)
Porosity: ε = 1 - D