# Evidence: BET isotherm

Parent: — · class: thermodynamics · names merged here: BET isotherm; Brunauer-Emmett-Teller isotherm

3 papers measured or used it, 0 only mentioned it (of 207 kept papers). Papers in year order; each section heading ends with the paper's category / subcategory. Generated by tools/build_evidence.py from registry/concepts.csv and the cards; do not edit.

## 2019 Dening — Application of an adsorption isotherm to explain incomplete drug release from ordered mesoporous silica materials under supersaturating conditions · Mesoporous silica / Mesoporous silica

[2019-dening-adsorption-isotherm-incomplete-release-sba15](../../../cards/2019-dening-adsorption-isotherm-incomplete-release-sba15/paper.html) · Mesoporous silica / Mesoporous silica · measured · as: BET isotherm

| id | kind | content | locator |
|---|---|---|---|
| R6 | record, derived (E4) | nonlinear liquid-phase BET fit (n = ∞) — R2 data; P12 — R² = 0.94; KS = 1.169 μg/mL⁻¹; KL = 0.031 μg/mL⁻¹ (units as printed); Qm = 103 mg/g; 1/KL = 32.7 μg/mL | Section 4.2 and Fig. 1, p. 189; Section 5.1, p. 196 |
| E4 | equation | BET isotherm, liquid-phase form (Ebadi et al.): Qa = Qm·KS·Ce / [(1 − KL·Ce)(1 − KL·Ce + KS·Ce)] | Eq. (4), p. 189 |
| C12 | claim, conclusion, authors: asserted ("clearly not appropriate") | Langmuir fitted poorly (no multilayers), Freundlich better but empirical and still poor, so both common models are not appropriate for these data; the BET equation gave the best fit. [rests on: R4, R5, R6] | Section 4.2, p. 189; Section 5.1, pp. 194–195 |
| C13 | claim, mechanism, authors: p. 194: may explain; p. 195: most likely | The BET equation most likely fits best because it captures the multilayer adsorption driven by the supersaturated solution and its high driving force. [rests on: R2, R6] | Section 5.1, pp. 194–195 |

## 2020 Hate — Interplay of Adsorption, Supersaturation and the Presence of an Absorptive Sink on Drug Release from Mesoporous Silica-Based Formulations · Mesoporous silica / Mesoporous silica

[2020-hate-atazanavir-mesoporous-silica-adsorption-absorptive-sink-release](../../../cards/2020-hate-atazanavir-mesoporous-silica-adsorption-absorptive-sink-release/paper.html) · Mesoporous silica / Mesoporous silica · used · as: BET isotherm

| id | kind | content | locator |
|---|---|---|---|
| E1 | equation | BET isotherm for adsorption from solution: Qa = Qm × K_BET X / [(1 − X)(1 + (K_BET − 1) X)]; X = Ce/Cs | p.7 |
| R3 | record, derived (E1) | BET monolayer coverage Qm — fit of R2 (P16) — 4.5 mg/g; K_BET not printed; Langmuir and Freundlich fits poor (not shown) | p.6-7 |
| C23 | claim, assumption, authors: asserted | The BET equation was chosen because Langmuir and Freundlich fitted poorly; it assumes multilayer adsorption with a strongest first layer, no lateral interactions and a homogeneous surface; few systems conform, but it gave the best fit [rests on: R2, R3; cited: refs 53-58] | p.6-7 |

## 2020 Mccarthy — A Comparison of Drug Release and Adsorption Under Supersaturating Conditions for Ordered Mesoporous Silica with Indomethacin or Indomethacin Methyl Ester · Mesoporous silica / Mesoporous silica

[2020-mccarthy-indomethacin-indme-sba15-adsorption-release](../../../cards/2020-mccarthy-indomethacin-indme-sba15-adsorption-release/paper.html) · Mesoporous silica / Mesoporous silica · used · as: Brunauer-Emmett-Teller isotherm

| id | kind | content | locator |
|---|---|---|---|
| E8 | equation | BET isotherm for liquid-phase adsorption (Ebadi form): Qa = Qm KS Ce / ((1 − KL Ce)(1 − KL Ce + KS Ce)) | SI p.1; p.14 |
| R10 | record, derived (E6, E7, E8) | isotherm fit parameters — R7, R8 fitted with linear Langmuir and Freundlich and non-linear BET (P17) — sub-table below; BET KS, Freundlich n and Langmuir Qm not reported | Table 3, p.21-22 |
| R11 | record, derived (E8) | BET 1/KL — R10.e — 40 µg/mL (IND); 8.5 µg/mL (INDME) | p.22 |
| C21 | claim, conclusion, authors: "it has been suggested"; asserted ("good agreement") | The BET monolayer is similar for both compounds, around 30 mg/g; 1/KL, suggested in the literature to be the saturation solubility, is 40 and 8.5 µg/mL, in good agreement with the amorphous solubility [rests on: R10.f, R11, R1; cited: refs 35, 48] | p.22 |