T-, D- and c-optimum designs for BET and GAB adsorption isotherms

Chemometrics and Intelligent Laboratory Systems

Volumn 89, Issue 1, 2007, Pages 36-44

  Rodríguez Aragón, Licesio J ^a   López Fidalgo, Jesús ^a  

^a Instituto de Matemática Aplicada a la Ciencia y a la Ingeniería   (Spain)

Author keywords

BET model; c optimum design; D optimum design; GAB model; Isotherm; T optimum designs

Indexed keywords

ADSORPTION; ARTICLE; GAS; ISOTHERM; MATHEMATICAL MODEL; PRESSURE; PRIORITY JOURNAL; TEMPERATURE SENSITIVITY; WETTABILITY;

EID: 34548145759     PISSN: 01697439     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chemolab.2007.05.004     Document Type: Article

References (25)

1. Brunauer S., Emmett P.H., and Teller E. Adsorption of gases in multimolecular layers. J. Am. Chem. Soc. 60 (1938) 309-319
2. Guggenheim E.A. Application of statistical mechanics (1966), Clarendon Press, Oxford
3. Anderson R.B. Modifications on the Brunnauer, Emmet and Teller equation. J. Am. Chem. Soc. 68 (1946) 686-691
4. de Boer J.H. The dynamic character of adsorption (1953), Clarendon Press, Oxford
5. Timmermann E.O., Chirife J., and Iglesias H.A. Water sorption isotherms of foods and foodstuffs: BET or GAB parameters?. J. Food Eng. 48 (2001) 19-31
6. IUPAC. Commission on Colloid and Surface Chemistry of the International Union of Pure and Applied Chemistry, reporting physisorption data for gas/solid systems - with special references to the determination of surface area and porosity. Pure App. Chem. 57 (1985) 604-619
7. Timmermann E.O. Multilayer sorption parameters: BET or GAB values?. Colloids Surf., A Physicochem. Eng. Asp. 220 (2003) 235-260
8. Wolf W., Spiess W.E.L., and Jung G. Standardization of isotherm measurements (COST-project 90 and 90 bis). In: Simatos D., and Multon J.L. (Eds). Properties of Water in Foods, Martinum Nijhoff, Dordrecht (1985) 661-679
9. Kiefer J. Optimum experimental designs. J. R. Stat. Soc., Ser. B Stat. Methodol. 21 (1959) 272-319
10. Silvey S.D. Optimal Design (1980), Chapman & Hall
11. López-Fidalgo J., and Wong W.K. Design for the Michaelis-Menten model. J. Theor. Biol. 215 (2002) 1-11
12. Rodríguez-Aragon L.J., and López-Fidalgo J. Optimal designs for the Arrhenius equation. Chemometr. Intell. Lab. Syst. 77 (2005) 131-138
13. Belarbi A., Aymard C., Meot J.M., Themelin A., and Reynes M. Water desorption isotherms for eleven varieties of dates. J. Food Eng. 43 (2000) 103-107
14. Saevels S., Berna A.Z., Lammertyn J., di Natale C., and Nicola B.M. Characterisation of QMB sensors by means of the BET adsorption isotherm. Sens. Actuators, B, Chem. 101 (2004) 242-251
15. Lewicki P.P. The applicability of the GAB model to food water sorption isotherms. Int. J. Food Sci. Technol. 32 (1997) 553-557
16. Moraga G., Martínez-Navarrete N., and Chiralt A. Water sorption isotherms and phase transitions in kiwifruit. J. Food Eng. 72 (2006) 147-156
17. Atkinson A.C., and Fedorov V.V. The design of experiments for discriminating between two rival models. Biometrika 62 (1975) 57-70
18. López-Fidalgo J., Trandafir C., and Tommasi C. An optimal experimental design criterion for discriminating between non-normal models. J. R. Stat. Soc., B 69 2 (2007) 231-242
19. Atkinson A.C., Bogacka B., and Bogacki M.B. D- and T-optimum designs for the kinetics of a reversible chemical reaction. Chemometr. Intell. Lab. Syst. 43 (1998) 185-198
20. Cepeda E., Ortíz de Latierro R., San José M.J., and Olazar M. Water sorption isotherms of roasted coffee and coffee roasted with sugar. Int. J. Food Sci. Technol. 34 (1999) 287-290
21. Atkinson A.C., and Donev A. Optimum Experimental Designs (1992), Oxford University Press
22. Fedorov V.V., and Hackl P. Model-Oriented Design of Experiments (1997), Spinger
23. Ford I., Tittterington D.M., and Kitsos C.P. Recent advances in nonlinear experimental design. Technometrics 31 (1989) 49-60
24. Elfving G. Optimum allocation in linear regression theory. Ann. Math. Stat. 23 (1952) 255-262
25. López-Fidalgo J., and Rodríguez-Díaz J.M. Elfving method for computing c-optimal designs in more than two dimensions. Metrika 59 (2004) 235-244