Standard Method for Estimating Kinetic Parameters by Differential Scanning Calorimeter Using the Borchardt and Daniels Method

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1.1 This test method covers the determination of the kinetic parameters of activation energy, Arrhenius frequency factor, and reaction order using the Borchardt and Daniels treatment of data obtained by differential scanning calorimetry. This test method is applicable to the temperature range from 170 to 870 K (-100 to 600oC).
1.2 This treatment is applicable only to smooth exothermic reactions with no shoulders, discontinuous changes, or shifts in baseline. It is applicable only to reactions with reaction order  n  2. It is not applicable to autocatalyzed reactions and, therefore, is not applicable to the determination of kinetic parameters for most thermoset curing reactions or to crystallization reactions.
1.3 Electronic instrumentation or automated data analysis systems or treatments equivalent to this test method may be used.
Note 1--The user is advised that all electronic data treatment may not be equivalent. It is the responsibility of the user of such electronic data treatment to verify applicability to this test method.
1.4 The values stated in SI units are to be regarded as the standard.
1.5 This test method is similar, but not equivalent to, ISO Method 11357, Part 5, which contains provisions for additional information not supplied by this test method.
1.6 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 and health practices and determine the applicability of regulatory limitations prior to use.

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09-Aug-2001
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ASTM E2041-01 - Standard Method for Estimating Kinetic Parameters by Differential Scanning Calorimeter Using the Borchardt and Daniels Method
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation:E2041–01
Standard Method for
Estimating Kinetic Parameters by Differential Scanning
1
Calorimeter Using the Borchardt and Daniels Method
This standard is issued under the fixed designation E2041; 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 (ε) indicates an editorial change since the last revision or reapproval.
1. Scope E537 Test Method for Assessing the Thermal Stability of
3
Chemicals by Methods of Differential Thermal Analysis
1.1 This test method covers the determination of the kinetic
E698 Test Method for Arrhenius Kinetic Constants for
parameters of activation energy, Arrhenius frequency factor,
3
2 Thermally Unstable Materials
and reaction order using the Borchardt and Daniels treatment
E967 Practice for Temperature Calibration of Differential
of data obtained by differential scanning calorimetry. This test
Scanning Calorimeters and Differential Thermal Analyz-
method is applicable to the temperature range from 170 to
3
ers
870 K (−100 to 600°C).
E968 Practice for Heat Flow Calibration of Differential
1.2 This treatment is applicable only to smooth exothermic
3
Scanning Calorimeters
reactionswithnoshoulders,discontinuouschanges,orshiftsin
E1142 Terminology Relating to Thermophysical Proper-
baseline. It is applicable only to reactions with reaction order
3
ties
n ≤ 2. It is not applicable to autocatalyzed reactions and,
E1145 Terminology Relating to Hazardous Properties of
therefore, is not applicable to the determination of kinetic
3
Chemicals
parameters for most thermoset curing reactions or to crystalli-
E1970 Practice for Statistical Treatment of Thermoanalyti-
zation reactions.
3
cal Data
1.3 Electronic instrumentation or automated data analysis
2.2 ISO Standards:
systems or treatments equivalent to this test method may be
ISO 11357 Part 5: Determination of Temperature and/or
used.
4
Time of Reaction and Reaction Kinetics
NOTE 1—The user is advised that all electronic data treatment may not
be equivalent. It is the responsibility of the user of such electronic data
3. Terminology
treatment to verify applicability to this test method.
3.1 Definitions—Specific technical terms used in this test
1.4 The values stated in SI units are to be regarded as the
method are defined in Terminologies E473, E1142 and
standard.
E1445.
1.5 This test method is similar, but not equivalent to, ISO
4. Summary of Test Method
Method11357,Part5,whichcontainsprovisionsforadditional
information not supplied by this test method.
4.1 Atest specimen is heated at a linear rate in a differential
1.6 This standard does not purport to address all of the
scanning calorimeter or other suitable calorimeter through a
safety concerns, if any, associated with its use. It is the
region of exothermic reaction behavior. The rate of heat
responsibility of the user of this standard to establish appro-
evolution, developed by a chemical reaction, is proportional to
priate safety and health practices and determine the applica-
therateofreaction.Integrationoftheheatflowasafunctionof
bility of regulatory limitations prior to use.
time yields the total heat of a reaction.
2
4.2 The Borchardt and Daniels data treatment is used to
2. Referenced Documents
derive the kinetic parameters of activation energy, Arrhenius
2.1 ASTM Standards:
frequency factor, and reaction order from the heat flow and
3
E473 Terminology Relating to Thermal Analysis
total heat of reaction information obtained in 4.1 (see Section
5).
1
ThistestmethodisunderthejurisdictionofASTMCommitteeE37onThermal
Measurements and the direct responsibility of Subcommittee E37.01 on Test
Methods and Recommended Practices.
Current edition approved August 10, 2001. Published November 2001. Origi-
nally published as E2041–99. Last previous edition E2041–99.
2 4
Borchardt, H.J., Daniels, F., J. Amer. Chem. Soc. Vol 79, pp.41–46 (1957). Available from American National Standards Institute, 11 W. 42nd St., 13th
3
Annual Book of ASTM Standards, Vol 14.02. Floor, New York, NY 10036.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
1

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E2041
5. Basis of Methodology 6. Significance and Use
5.1 Kinetic reactions may be modeled with a number of 6.1 This test method is useful in research, development,
2
suitable equations. The Borchardt and Daniels method makes
quality assurance, and for specification acceptance purposes.
use of the general rate equation to describe the dependence of
6.2 Thedeterminationoftheappropriatemodelforachemi-
the rate of reaction on the amount of material present.
calreactionortransformationandthevaluesassociate
...

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