### Abstract

A least squares curve-fitting method was developed for the following thermo-analytical problem: "Find the kinetic parameters and the unknown initial amounts of the reactants from non-isothermal thermoanalytical curves in the case of two or more independent or quasi-independent thermal reactions". From a numerical point of view this problem differs from the non-linear least squares techniques used in other areas of reaction kinetics. The special difficulties which have arisen in such calculations were eliminated by parameter transformations and by separating the linear and non-linear parts of the problem. The method can be applied at any T(t) functions. Thermo-analytical curves differing in temperature program can be evaluated simultaneously.

Original language | English |
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Pages (from-to) | 367-376 |

Number of pages | 10 |

Journal | Thermochimica Acta |

Volume | 28 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1979 |

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### ASJC Scopus subject areas

- Chemistry (miscellaneous)
- Physical and Theoretical Chemistry

### Cite this

**Kinetic evaluation of non-isothermal thermoanalytical curves in the case of independent thermal reactions.** / Várhegyi, G.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Kinetic evaluation of non-isothermal thermoanalytical curves in the case of independent thermal reactions

AU - Várhegyi, G.

PY - 1979

Y1 - 1979

N2 - A least squares curve-fitting method was developed for the following thermo-analytical problem: "Find the kinetic parameters and the unknown initial amounts of the reactants from non-isothermal thermoanalytical curves in the case of two or more independent or quasi-independent thermal reactions". From a numerical point of view this problem differs from the non-linear least squares techniques used in other areas of reaction kinetics. The special difficulties which have arisen in such calculations were eliminated by parameter transformations and by separating the linear and non-linear parts of the problem. The method can be applied at any T(t) functions. Thermo-analytical curves differing in temperature program can be evaluated simultaneously.

AB - A least squares curve-fitting method was developed for the following thermo-analytical problem: "Find the kinetic parameters and the unknown initial amounts of the reactants from non-isothermal thermoanalytical curves in the case of two or more independent or quasi-independent thermal reactions". From a numerical point of view this problem differs from the non-linear least squares techniques used in other areas of reaction kinetics. The special difficulties which have arisen in such calculations were eliminated by parameter transformations and by separating the linear and non-linear parts of the problem. The method can be applied at any T(t) functions. Thermo-analytical curves differing in temperature program can be evaluated simultaneously.

UR - http://www.scopus.com/inward/record.url?scp=0012567837&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0012567837&partnerID=8YFLogxK

U2 - 10.1016/0040-6031(79)85140-0

DO - 10.1016/0040-6031(79)85140-0

M3 - Article

AN - SCOPUS:0012567837

VL - 28

SP - 367

EP - 376

JO - Thermochimica Acta

JF - Thermochimica Acta

SN - 0040-6031

IS - 2

ER -