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. 2021 Apr 25;13(5):617. doi: 10.3390/pharmaceutics13050617

Table 7.

Remaining vitamin D3 with respect to initial content in the tested liquid commercial products after 6 months of storage at 4, 25, and 40 °C (average ± relative standard error, n = 3).

Vitamin D3 Content (%) after 6 Months
in Oil-Based Formulations
Vitamin D3 Content (%) after 6 months
in Water-Based Formulations
4 °C 25 °C 40 °C 4 °C 25 °C 40 °C
M (1) 102.0 ± 0.2 101.0 ± 0.1 98.3 ± 0.3 M (2) 101.5 ± 0.0 101.9 ± 0.9 102.3 ± 0.0
FS (4) 101.2 ± 0.2 99.7 ± 0.2 97.5 ± 0.2 M (3) 96.7 ± 0.0 96.0 ± 1.0 80.5 ± 2.0
FS (6) 91.2 ± 2.4 89.1 ± 0.1 46.8 ± 0.4 FS (5) 66.2 ± 2.8 1.5 ± 0.9 0.0 ± 0.0
FS (8) 102.9 ± 1.0 102.2 ± 0.6 100.2 ± 0.5 FS (7) 93.1 ± 0.5 79.4 ± 1.0 40.6 ± 1.2
FS (9) 76.6 ± 3.5 39.8 ± 2.6 2.3 ± 0.2
Quantitative Evaluation of Vitamin D3 Stability in the Unstable Products
(First-Order Constants and Arrh. Data)
k1 (4 °C)
(month−1) (CI)
k1 (25 °C)
(month−1) (CI)
k1 (40 °C)
(month−1) (CI)
Arrh. eq. R2 Ea (kJ/mol)
FS (5) 0.069
(0.057–0.081)
0.610
(0.362–0.859)
2.469
(2.141–2.797)
y = −8613x
+ 28.42
1.000 71.6
FS (7) 0.012
(0.010–0.013)
0.038 (0.035.042) 0.150
(0.142–0.159)
y = −5987x
+ 17.08
0.971 49.8
FS (9) 0.045
(0.032–0.058)
0.154
(0.136–0.173)
0.634
(0.605–0.662)
y = −6240x
+ 19.33
0.972 51.9

Arrh. eq.—Arrhenius equation; CI—95% confidence interval; Ea—activation energy; FS—food supplement; M—medicine.