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Table 2 Correlation coefficient, rate constant and half time obtained by fitting the release data of cinnamate from ZCA intercalation compound into various media using zeroth-, first-, parabolic diffusion and pseudo-second order kinetic models

From: Synthesis of (cinnamate-zinc layered hydroxide) intercalation compound for sunscreen application

Media

Saturated release (%)

Correlation coefficient, r2

Rate constant of pseudo second order, k(L mg-1min-1)

t1/2of pseudo second order(min)

Zeroth order

First order

Parabolic diffusion

Pseudo-second order

Deionized water

47.34

0.9277

0.9568

0.9666

0.9990

9.09 × 10-6

1924

0.5 mol/L NaCl

21.07

0.9422

0.9510

0.9876

0.9898

1.07 × 10-5

2974

Phosphate buffer pH 5.5

57.16

0.8541

0.9075

0.9798

0.9928

1.38 × 10-4

110

  1. Zeroth order: C t = kt + c, first order: −log(1−C t ) = kt + c, parabolic diffusion: C t /C eq = c + kt0.5, pseudo second order: t/C t = 1/k 2 C eq 2 + (1/q e )t.
  2. Notes: c = a constant; C eq = concentration of anion at equilibrium; C t = concentration of anion at time t.