ASTM E2890-21

Standard Test Method for Determination of Kinetic Parameters and Reaction Order for Thermally Unstable Materials by Differential Scanning Calorimetry Using the Kissinger and Farjas Methods

SIGNIFICANCE AND USE
6.1 This test method is useful for research and development, quality assurance, regulatory compliance and specification-based acceptance.  
6.2 The kinetic parameters determined by this method may be used to calculate thermal hazard figures-of-merit according to Practice E1231.
SCOPE
1.1 This test method describes the determination of the kinetic parameters of Arrhenius activation energy and pre-exponential factor using the Kissinger variable heating rate iso-conversion method (1, 2)2 and activation energy and reaction order by the Farjas method (3) for thermally unstable materials. The test method is applicable to the temperature range from 300 K to 900 K (27 °C to 627 °C).  
1.2 Both nth order and accelerating reactions are addressed by this method over the range of 0.5 n p n is the nth order reaction order and p is the Avrami reaction order (4). Reaction orders n and p are determined by the Farjas method (3).  
1.3 This test method uses the same experimental conditions as Test Method E698. The Flynn/Wall/Ozawa data treatment of Test Method E698 may be simultaneously applied to these experimental results.  
1.4 The values stated in SI units are to be regarded as standard. No other units of measurement are included in this standard.  
1.5 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use.  
1.6 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.

General Information

• Status: Published
• Publication Date: 30-Sep-2021
• ICS: 17.200.10 - Heat. Calorimetry
• Technical Committee: E37 - Thermal Measurements
• Drafting Committee: E37.01 - Calorimetry and Mass Loss

Relations

• Refers: ASTM E537-20 - Standard Test Method for Thermal Stability of Chemicals by Differential Scanning Calorimetry
• Effective Date: 01-Feb-2020

Standards Content (Sample)

This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the
Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
Designation: E2890 − 21
Standard Test Method for
Determination of Kinetic Parameters and Reaction Order for
Thermally Unstable Materials by Differential Scanning
1
Calorimetry Using the Kissinger and Farjas Methods
This standard is issued under the fixed designation E2890; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision.Anumber in parentheses indicates the year of last reapproval.A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope mendations issued by the World Trade Organization Technical
Barriers to Trade (TBT) Committee.
1.1 This test method describes the determination of the
kinetic parameters of Arrhenius activation energy and pre-
2. Referenced Documents
exponential factor using the Kissinger variable heating rate
3
2.1 ASTM Standards:
2
iso-conversion method (1, 2) and activation energy and
E473Terminology Relating to Thermal Analysis and Rhe-
reaction order by the Farjas method (3) for thermally unstable
ology
materials. The test method is applicable to the temperature
E537Test Method for Thermal Stability of Chemicals by
range from 300 K to 900 K (27 °C to 627 °C).
Differential Scanning Calorimetry
1.2 Both nth order and accelerating reactions are addressed
E691Practice for Conducting an Interlaboratory Study to
by this method over the range of 0.5 < n<4and1< p<4
Determine the Precision of a Test Method
where n is the nth order reaction order and p is the Avrami
E698Test Method for Kinetic Parameters for Thermally
reaction order (4). Reaction orders n and p are determined by
Unstable Materials Using Differential Scanning Calorim-
the Farjas method (3).
etry and the Flynn/Wall/Ozawa Method
E967Test Method for Temperature Calibration of Differen-
1.3 This test method uses the same experimental conditions
tial Scanning Calorimeters and Differential ThermalAna-
asTestMethodE698.TheFlynn/Wall/Ozawadatatreatmentof
lyzers
Test Method E698 may be simultaneously applied to these
E968Practice for Heat Flow Calibration of Differential
experimental results.
Scanning Calorimeters
1.4 The values stated in SI units are to be regarded as
E1142Terminology Relating to Thermophysical Properties
standard. No other units of measurement are included in this
E1231Practice for Calculation of Hazard Potential Figures
standard.
of Merit for Thermally Unstable Materials
1.5 This standard does not purport to address all of the
E1860Test Method for Elapsed Time Calibration of Ther-
safety concerns, if any, associated with its use. It is the
mal Analyzers
responsibility of the user of this standard to establish appro-
E1970PracticeforStatisticalTreatmentofThermoanalytical
priate safety, health, and environmental practices and deter-
Data
mine the applicability of regulatory limitations prior to use.
E2041Test Method for Estimating Kinetic Parameters by
1.6 This international standard was developed in accor-
Differential Scanning Calorimeter Using the Borchardt
dance with internationally recognized principles on standard-
and Daniels Method
ization established in the Decision on Principles for the
E2161Terminology Relating to Performance Validation in
Development of International Standards, Guides and Recom-
Thermal Analysis and Rheology
3. Terminology
1
ThistestmethodisunderthejurisdictionofASTMCommitteeE37onThermal
3.1 Technical terms used in this test method are defined in
Measurements and is the direct responsibility of Subcommittee E37.01 on Calo-
Terminologies E473, E1142, and E2161. Referenced terms
rimetry and Mass Loss.
Current edition approved Oct. 1, 2021. Published November 2021. Originally
3
approved in 2012. Last previous approval in 2018 as E2890 – 12 (2018). DOI: For referenced ASTM standards, visit the ASTM website, www.astm.org, or
10.1520/E2890-21. contact ASTM Customer Service at [e-mail]. For Annual Book of ASTM
2
Theboldfacenumbersinparenthesesrefertothelistofreferencesattheendof Standards volume information, refer to the standard’s Document Summary page on
this standard. the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1

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E2890 − 21
include Arrhenius equation, baseline, calibration, Celsius,
p = Avrami reaction order (dimensionless).
differential scanning calorimeter, endotherm, enthalpy, figure-
NOTE 1—There are a large number of conversion function expressions
of-merit, first-deviation-from baseline, full-width-at-half- for f(a) (5). Those described here are the more common ones but are not
the only fu
...

This document is not an ASTM standard and is intended only to provide the user of an ASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
Designation: E2890 − 12 (Reapproved 2018) E2890 − 21
Standard Test Method for
Determination of Kinetic Parameters and Reaction Order for
Thermally Unstable Materials by Differential Scanning
Calorimetry Using the Kissinger Methodand Farjas
1
Methods
This standard is issued under the fixed designation E2890; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope
1.1 This test method describes the determination of the kinetic parameters of Arrhenius activation energy and pre-exponential
2
factor using the Kissinger variable heating rate iso-conversion method (1, 2) and activation energy and reaction order by the Farjas
method (3) for thermally unstable materials. The test method is applicable to the temperature range from 300 K to 900 K (27 °C
to 627°C).627 °C).
1.2 Both nth order and accelerating reactions are addressed by this method over the range of 0.5 < n < 4 and 1 < p < 4 where n
is the nth order reaction order and p is the Avrami reaction order (4). Reaction orders n and p are determined by the Farjas method
(3).
1.3 This test method uses the same experimental conditions as Test Method E698. The Flynn/Wall/Ozawa data treatment of Test
Method E698 may be simultaneously applied to these experimental results.
1.4 The values stated in SI units are to be regarded as standard. No other units of measurement are included in this standard.
1.5 There is no ISO equivalent to this standard.
1.5 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility
of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of
regulatory limitations prior to use.
1.6 This international standard was developed in accordance with internationally recognized principles on standardization
established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued
by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
2. Referenced Documents
3
2.1 ASTM Standards:
1
This test method is under the jurisdiction of ASTM Committee E37 on Thermal Measurements and is the direct responsibility of Subcommittee E37.01 on Calorimetry
and Mass Loss.
Current edition approved April 1, 2018Oct. 1, 2021. Published May 2018November 2021. Originally approved in 2012. Last previous approval in 20122018 as E2890
– 12. 12 (2018). DOI: 10.1520/E2890-12R18.10.1520/E2890-21.
2
The boldface numbers in parentheses refer to the list of references at the end of this standard.
3
For referenced ASTM standards, visit the ASTM website, www.astm.org, or contact ASTM Customer Service at [e-mail]. For Annual Book of ASTM Standards
volume information, refer to the standard’s Document Summary page on the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1

---------------------- Page: 1 ----------------------
E2890 − 21
E473 Terminology Relating to Thermal Analysis and Rheology
E537 Test Method for Thermal Stability of Chemicals by Differential Scanning Calorimetry
E691 Practice for Conducting an Interlaboratory Study to Determine the Precision of a Test Method
E698 Test Method for Kinetic Parameters for Thermally Unstable Materials Using Differential Scanning Calorimetry and the
Flynn/Wall/Ozawa Method
E967 Test Method for Temperature Calibration of Differential Scanning Calorimeters and Differential Thermal Analyzers
E968 Practice for Heat Flow Calibration of Differential Scanning Calorimeters
E698 Test Method for Kinetic Parameters for Thermally Unstable Materials Using Differential Scanning Calorimetry and the
Flynn/Wall/Ozawa Method
E1142 Terminology Relating to Thermophysical Properties
E1231 Practice for Calculation of Hazard Potential Figures of Merit for Thermally Unstable Materials
E1860 Test Method for Elapsed Time Calibration of Thermal Analyzers
E1970 Practice for Statistical Treatment of Thermoanalytical Data
E2041 Test Method for Estimating Kinetic Parameters by Differential Scanning Calorimeter Using the Borchardt and Daniels
Method
E2161 Terminology Relating to Performance Validation in Thermal Analysis and Rheology
3. Terminology
3.1 Technical terms used in this test method
...