### Abstract

It may occur in practice that the nitrogen isotherm should be measured at 77 K only in order to determine the Brunauer-Emmett-Teller (BET) specific surface area [a(s)(N_{2}, 77)]. This fact has given cause for an elaborate method to calculate the value of a(s)(N_{2}, 77) from Type I isotherms measured on any adsorbents at any temperature. Since Type I isotherms are measured most often in practice the proposed method makes it possible to calculate the value of a(s)(N_{2}, 77) from isotherms of adsorptives which are the actual topics of the investigations. Thus, in these cases the determination of nitrogen isotherms at 77 K can be omitted. The proposed method is based on the Toth (T) equation and on its modified and extended forms. In these equations are present the parameters χ(m), χ(o), and t with the following physical meanings: χ(m) and χ(o) are integral constants originating from the Gibbs equation integrated between definite limits of pressure and coverage and t is a parameter characterizing the heterogeneity of the adsorbents. The parameters χ(m) and χ(o) assure the thermodynamic consistence of these relationships. It is proven that the parameters (χ(m))(1/t) and (χ(o))(1/t) depend only on the structure of adsorbents (micro-, mezoporous, or smooth surfaces). These parameters, calculated from Type I isotherms measured under the critical temperature of the adsorptives, are the bases of the calculation of the BET compatible surface areas.

Original language | English |
---|---|

Pages (from-to) | 402-410 |

Number of pages | 9 |

Journal | Journal of Colloid and Interface Science |

Volume | 212 |

Issue number | 2 |

DOIs | |

Publication status | Published - Apr 15 1999 |

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### Keywords

- BET compatible surfaces
- BET method
- Isotherms Type I
- Its substitution
- Omitting of nitrogen isotherms
- T equation

### ASJC Scopus subject areas

- Colloid and Surface Chemistry
- Physical and Theoretical Chemistry
- Surfaces and Interfaces

### Cite this

**Calculation of the BET compatible surface area from any type I isotherms measured below the critical temperature.** / Tóth, József; Berger, F.; Dékány, I.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Calculation of the BET compatible surface area from any type I isotherms measured below the critical temperature

AU - Tóth, József

AU - Berger, F.

AU - Dékány, I.

PY - 1999/4/15

Y1 - 1999/4/15

N2 - It may occur in practice that the nitrogen isotherm should be measured at 77 K only in order to determine the Brunauer-Emmett-Teller (BET) specific surface area [a(s)(N2, 77)]. This fact has given cause for an elaborate method to calculate the value of a(s)(N2, 77) from Type I isotherms measured on any adsorbents at any temperature. Since Type I isotherms are measured most often in practice the proposed method makes it possible to calculate the value of a(s)(N2, 77) from isotherms of adsorptives which are the actual topics of the investigations. Thus, in these cases the determination of nitrogen isotherms at 77 K can be omitted. The proposed method is based on the Toth (T) equation and on its modified and extended forms. In these equations are present the parameters χ(m), χ(o), and t with the following physical meanings: χ(m) and χ(o) are integral constants originating from the Gibbs equation integrated between definite limits of pressure and coverage and t is a parameter characterizing the heterogeneity of the adsorbents. The parameters χ(m) and χ(o) assure the thermodynamic consistence of these relationships. It is proven that the parameters (χ(m))(1/t) and (χ(o))(1/t) depend only on the structure of adsorbents (micro-, mezoporous, or smooth surfaces). These parameters, calculated from Type I isotherms measured under the critical temperature of the adsorptives, are the bases of the calculation of the BET compatible surface areas.

AB - It may occur in practice that the nitrogen isotherm should be measured at 77 K only in order to determine the Brunauer-Emmett-Teller (BET) specific surface area [a(s)(N2, 77)]. This fact has given cause for an elaborate method to calculate the value of a(s)(N2, 77) from Type I isotherms measured on any adsorbents at any temperature. Since Type I isotherms are measured most often in practice the proposed method makes it possible to calculate the value of a(s)(N2, 77) from isotherms of adsorptives which are the actual topics of the investigations. Thus, in these cases the determination of nitrogen isotherms at 77 K can be omitted. The proposed method is based on the Toth (T) equation and on its modified and extended forms. In these equations are present the parameters χ(m), χ(o), and t with the following physical meanings: χ(m) and χ(o) are integral constants originating from the Gibbs equation integrated between definite limits of pressure and coverage and t is a parameter characterizing the heterogeneity of the adsorbents. The parameters χ(m) and χ(o) assure the thermodynamic consistence of these relationships. It is proven that the parameters (χ(m))(1/t) and (χ(o))(1/t) depend only on the structure of adsorbents (micro-, mezoporous, or smooth surfaces). These parameters, calculated from Type I isotherms measured under the critical temperature of the adsorptives, are the bases of the calculation of the BET compatible surface areas.

KW - BET compatible surfaces

KW - BET method

KW - Isotherms Type I

KW - Its substitution

KW - Omitting of nitrogen isotherms

KW - T equation

UR - http://www.scopus.com/inward/record.url?scp=0343695592&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0343695592&partnerID=8YFLogxK

U2 - 10.1006/jcis.1998.6072

DO - 10.1006/jcis.1998.6072

M3 - Article

AN - SCOPUS:0343695592

VL - 212

SP - 402

EP - 410

JO - Journal of Colloid and Interface Science

JF - Journal of Colloid and Interface Science

SN - 0021-9797

IS - 2

ER -