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Thermal AnalysisPr. Dr. Jean Marc Saiter
Short Courses POLYCHAR 25Kuala Lumpur
Onyx développement, Hameau du Bois Ricard, 76770 Malaunay - FranceSMS sciences et méthodes séparatives, Université de Normandie, 76821 Mont Saint Aignan
Cedex, France
1Copyright © 2017 by Jean-Marc Saiter
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T1T2 >
ALL IS LINKED TO : ENTROPY x y
z
Thermal AnalysismetrologyTemperature, HeatDefinition ?
Copyright © 2017 by Jean-Marc Saiter
Physical property
1 Temperature
Time
Physical property
Temperature
Isothermal method dynamic method
Thermal Analysis
signal
3Copyright © 2017 by Jean-Marc Saiter
Physical properties
Temperature Calorimetry adiabatic TDelta Temperature ATD ∆T
Power (Delta) DSC ∆P
Position, distance dilatation ∆lVolume expansion ∆V
Mass Thermogravimetry ∆m
Current Dielectric constantCDTS
magnetic
optical
Plus a fequency
Delta Temperature ATD ∆T
Position, distance dilatation ∆l
Current Dielectric constant
4Copyright © 2017 by Jean-Marc Saiter
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Thermodynamic
dU = TdS –P dV
dH = TdS + VdP
dU = d W = dQ if V = cst
Internal energy
Entrropy
pressure
volumeTemperature
Enthalpy
dH = d W = dQ if P = cst
Work Heat
Copyright © 2017 by Jean-Marc Saiter
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From Thermodynamic
Cp - Cv= α2T/ρβΤ
Coef of thermal expansion
density
Isothermal compressibility
Copyright © 2017 by Jean-Marc Saiter
Very important
Heat transfert
heatmass
Heat capacity
Temperature
This is the measurementThis is what i want to know
This is a function of T and phase change
Must be a constant
If not we are blind
Calorimetry
7Copyright © 2017 by Jean-Marc Saiter
Before any Calorimetric, measurement, we have to be sure at 100% that no mass loss will occur
during the experimental duration.
8Copyright © 2017 by Jean-Marc Saiter
We never do a DSC measurement to see
We do a DSC measurement to get an answer to one question
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Question ?
What the litterature said ?
protocole
Sample shapeSample massTemperature domain scannedHeating rateCooling rateAtmosphereKind of calorimeterKind of pans
Mass stabilityChemical stability
measurements
Data analysis
Thermogravimetry
Cheking mass constant
10Copyright © 2017 by Jean-Marc Saiter
Measurement by a comparison to zero
Measurement with a pre calibrated probe
Needs
Control of the probe
Control the zero
=
base line
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DSC HEAD
Gas purge exhaustTwo owens
Low inertia
Compensation method
Copyright © 2017 by Jean-Marc Saiter
∆P
t
T
Electronic calibration P=UI = RI2
13Copyright © 2017 by Jean-Marc Saiter
∆P
T
Before adjustment
After baseline adjustments
The signal is proportional to
the sample mass
the heating rate
Good balance
14Copyright © 2017 by Jean-Marc Saiter
J/g
T
signal
J/g
T
Surface = Energy
How to do to get a good signal by means of DSC measurement
Tr
Endo
Exo
Heating mode
15Copyright © 2017 by Jean-Marc Saiter
How to doBest signal
Small sample mass
Sample mass increases
Small heating Rate
heating Rate increases
16Copyright © 2017 by Jean-Marc Saiter
What a good calibration is ?
The position of the signal depends upon the heating rate
If q+ increases the T signal increases
but: the melting temperature of a pure element is an invariant
q1 < q2
This is a effect of the oven geometry and heat transfert inertia
This is true for the surface.
So we may calibrate the Temperature scale according the values given in the data handbooks
17Copyright © 2017 by Jean-Marc Saiter
Measured T
Expected T
Slope 1 is the best
T1
T2
T2
T1
Measured T
Expected T
T’2
T2
If only one element is used, i can find an infinity of line passing by this pointSo the calibration is good for T2 and absolutly not good for all the other temperatures
18Copyright © 2017 by Jean-Marc Saiter
To be able to calibrate the Temperature scale, we need at least to know the melting temperature of 2 pure elements
Measured T
Expected T
T1
T’2
T2
T’1Only if the base line is known and exhibit a linear shape
Slope can be different from 1The measurements can be performed only between T1 and T2
OPEN THE BIG QUESTION OF THE BASE LINE QUALITY
What is true for T is true for the enthalpy
19Copyright © 2017 by Jean-Marc Saiter
If the base line quality is bad
If the base line quality is bad
different optionsCleaning procedure
Work to optimize the base line
The data obtained will be bad too
30 k$ to 60k$
We have to linearise only in the temperature domain needs for the study
That is not possible for all the different kind of equipments available on the market
20Copyright © 2017 by Jean-Marc Saiter
21Copyright © 2017 by Jean-Marc Saiter
How to do to extract the good temperature and good the enthalpy from a DSC curves
22Copyright © 2017 by Jean-Marc Saiter
Ideal signal
Endo
WHY ?
glass Crystal
Like liquid liquid
Glass transition Cold crystallization
melting
Are not material constantsq+ and q- play a game
23Copyright © 2017 by Jean-Marc Saiter
H, V, S
T
liquid
crystal
crystallization
∆CP
TS
α
During cooling
24Copyright © 2017 by Jean-Marc Saiter
H, V, S
T
liquid
crystal∆CP
Tf
α
fusion
During heating
25Copyright © 2017 by Jean-Marc Saiter
H, V, S
T
liquid
crystal
crystallization
α
During cooling
High cooling rate
glass
Tg
∆CP
26Copyright © 2017 by Jean-Marc Saiter
TTg
H or V or S
TTg
Power,
∆P#∆Cp(Tg)
∆ Tg
By Calorimetry during heating
TRUE : ONLY if q+ = q- and no ageingGlass transition TgDuring heating
27Copyright © 2017 by Jean-Marc Saiter
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Tg mesurement
T
glass
H or V or S
Slope = Cp (L)
Slope = Cp (G)
Tg
Copyright © 2017 by Jean-Marc Saiter
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T
H or V or S
TTg
Power,
Tx
Sx S
Tg mesurement
Tx= Tg when Sx=S
Copyright © 2017 by Jean-Marc Saiter
T
H or V or S
TTg remains the same
Power,
∆Cp(Tg) remains the same
If q+ ≠ q- but the same q-
q+>q-
q+<q-
∆ (Tg) is modified
30Copyright © 2017 by Jean-Marc Saiter
T
H or V or S
TTg
Power,
q+>q-
Tx
Sx
S
If q+ ≠ q- but the same q-
Tx= Tg when Sx=S
31Copyright © 2017 by Jean-Marc Saiter
TTg
H or V or S
Tf1Tf2Ta
T
∆H
Tg mesurement
Ageing effects
Tx= Tf when Sx=S
32Copyright © 2017 by Jean-Marc Saiter
Effect of particle size of aged powder Selenium on measuring the glass transition. As seen, aged Selenium shows a large peak on glass transition.
Tg mesurement Ageing effects and particles sizes
interesting
33Copyright © 2017 by Jean-Marc Saiter
H, V, S
T
liquid
crystal
crystallization
α
glass
Tg
Like liquid
Glass transition
No melting
34Copyright © 2017 by Jean-Marc Saiter
Endo
glass Crystal
Like liquid liquid
Glass transition Cold crystallization
melting
35Copyright © 2017 by Jean-Marc Saiter
H, V, S
T
liquid
crystal
glass
Tg
Cold crystallization
melting
36Copyright © 2017 by Jean-Marc Saiter
Endo
Crystal
Like liquid liquid
Glass transition
melting
Melt hereWhat it was
Cold crystallized here3 processesNumber 1 nucleationNumber 2 growthNumber 3 : diffusion
TC
Crystallization enthalpy
37Copyright © 2017 by Jean-Marc Saiter
38Copyright © 2017 by Jean-Marc Saiter
H, V, S
T
liquid
crystal
crystallization
α
glass
Tg
Glass transition
39Copyright © 2017 by Jean-Marc Saiter
H, V, S
T
liquid
crystal
crystallization
α
glass
Tg
Glass transition
40Copyright © 2017 by Jean-Marc Saiter
41Copyright © 2017 by Jean-Marc Saiter
Cp mesurement
More difficult
Requires an excellent knowledge of the apparatus performances
Requires an excellent calibration procedure
Requires a long experimental time to be good
Why ?
Because we want an absolute value for Cp,
and we are only able to make a comparison
42Copyright © 2017 by Jean-Marc Saiter
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∆P = d ∆W/dt = f(T)
= d∆H/dt
=d∆H.dT/dt.dT =q+.d∆H/dT
Heating rate
DSC curve
= q+ CpNO That is WRONG
∆P (Tg) =q+ ((Cpl_Cpref1)-(Cpg-Cpref2)
Not known
(Cpl-Cpg) at Tg = ∆Cp(Tg) = ∆P/q+
if Cp ref1 = Cpref2
TAKE CARE
Copyright © 2017 by Jean-Marc Saiter
44
Journal of Materials Education, vol. 30, 2008, pages 51-95.
Quantitative and Transient DSC MeasurementsI. Heat Capacity and Glass Transition
Jean-Marc Saiter, Mehrdad Negahban
Philippe dos Santos ClaroPierre Delabare
Marie-Rose Garda
Copyright © 2017 by Jean-Marc Saiter
∆CP at Tg
Tg
TcTm∆HC
∆CP at TC is very difficult to determine
∆HmTmelting is often difficult to get for mixtures and for polymersOften taken at the maximum of the main peak,
To resume
Heating rateCooling rate
AgeAnnealing temperature
45Copyright © 2017 by Jean-Marc Saiter