Fundamental aspects of plasma chemical physics: thermodynamics
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2012
|
| Series: | Springer series on atomic, optical and plasma physics
66 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis Klappentext |
| Physical Description: | XVII, 308 S. Ill. |
| ISBN: | 9781441981813 |
Staff View
MARC
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| 100 | 1 | |a Capitelli, Mario |d 1941- |e Verfasser |0 (DE-588)1158171900 |4 aut | |
| 245 | 1 | 0 | |a Fundamental aspects of plasma chemical physics |b thermodynamics |c Mario Capitelli ; Gianpiero Colonna ; Antonio D'Angola |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2012 | |
| 300 | |a XVII, 308 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text |
Contents
1
Classical Thermodynamics
. 1
1.1
Equilibrium Thermodynamics
. 1
1.2
Dissociation Equilibrium
. 5
1.3
Ionization Equilibrium
. 8
1.4
Dissociation and Ionization Equilibria: Coupled Solution
. 11
1.5
Ideal Gas Thermodynamics
. 13
1.5.1
Ideal Gas Mixture Enthalpy
. 14
1.5.2
Ideal Gas Mixture Heat Capacity
. 15
1.6
Single Species Enthalpy
. 16
1.6.1
Equipartition Theorem
. 17
1.7
Mixture Thermodynamics at Constant Pressure
. 19
1.7.1
Dissociation
. 19
1.7.2
Ionization
. 21
1.8
Mixture Thermodynamics at Constant Volume
. 22
1.9
The Isentropic Coefficient
. 26
1.9.1
Dissociation Regime
. 28
1.9.2
Ionization Regime
. 29
1.9.3
Hydrogen Plasma
. 31
1.10
Real Gas Thermodynamics
. 32
1.10.1
Virial Corrections to Thermodynamic Functions
. 34
1.10.2
Virial Corrections to Heat Capacity
. 36
2
Two and Three Level Systems: Toward the Understanding
of the Thermodynamics of Multilevel Systems
. 39
2.1
Two-Level Systems
. 39
2.2
Three-Level Systems
. 42
2.3
Few-Level Model Accuracy
. 47
3
Statistical Thermodynamics
. 51
3.1
From Statistical Probability to Thermodynamic Functions
. 51
3.2
Statistical Mean
. 57
3.3
Multicomponent Ideal Systems
. 58
xi
Contents
Atomie
Partition
Function
. 61
4.1
Atomic Structure
. 61
4.1.1
Nuclear Partition Function
. 62
4.1.2
Translational Partition Function
. 62
4.1.3
Internal Partition Function
. 65
4.2
Single Species Thermodynamics
. 65
4.2.1
Translational Contribution
. 65
4.2.2
Internal Contribution
. 68
4.2.3
The Atomic Hydrogen as a Case Study
. 70
4.3
The Saha Equation for Ionization Equilibrium
. 74
4.4
Plasma Thermodynamics
. 76
Molecular Partition Function: Vibrational, Rotational
and Electronic Contributions
. 79
5.1
The Harmonic Oscillator
. 79
5.2
The Rigid Rotor
. 81
5.3
Molecular Partition Function: Beyond Closed Forms
. 86
5.3.1
Ro-Vibrational Energies
. 87
5.4
Polyatomic Molecular Partition Functions
. 95
Real Effects: I. Debye-Hiickel
. 101
6.1 Debye-Hückel
Theory
. 101
6.2 Debye-Hückel
Corrections
. 103
6.2.1
Internal Energy
. 103
6.2.2
Helmholtz Free Energy
. 104
6.2.3
Pressure
. 105
6.2.4
Entropy, Enthalpy and Gibbs Free Energy
. 106
6.2.5
Heat Capacity
. 106
6.2.6
Chemical Potential and Equilibrium Constant
. 107
6.2.7
Lowering of the Ionization Potential
. 108
6.3
The Effects of
Debye-Hückel
Correction
. 109
6.4
Beyond
Debye-Hückel
Theory
. 113
Real Effects: II. Virial Corrections
. 117
7.1
Ensembles and Partition Functions
. 117
7.1.1
The Micro-Canonical Ensemble
. 118
7.1.2
The Canonical Ensemble
. 119
7.1.3
The Grand-Canonical Ensemble
. 119
7.2
Virial Expansion for Real Gases
. 120
7.2.1
The Virial Coefficient for Mixtures
. 126
7.3
Virial Coefficient Calculations
. 130
7.3.1
Phenomenological Potential
. 130
7.3.2
Open Shells Interactions
. 131
7.4
The REMC Method
. 132
Contents
xiü
8
Electronic Excitation and Thermodynamic
Properties
of
Thermal Plasmas
. 141
8.1
Cutoff Criteria.
141
8.1.1
The Ground State Method
. 142
8.1.2
Debye-Hiickel Criteria
. 142
8.1.3
Fermi Criterion
. 143
8.2
Cutoff From the
Schrödinger
Equation
. 144
8.3
Case Study. Oxygen
. 147
8.4
Partition Function and Occupation Probability
. 158
8.5
Debye-Hiickel Energy Levels
. 161
9
Multi-Temperature Thermodynamics: A Multiplicity
of Saha Equations
. 163
9.1
General Considerations
. 163
9.1.1
Minimization of Gibbs Free Energy
. 166
9.1.2
Maximization of Entropy
. 167
9.2
Free Energy Minimization for Atomic Ionization
. 168
9.2.1
Case a: Th
=
Τιηι φ Τ,.
168
9.2.2
Case
b:
Th
φ
Tin{
=
Те
. 170
9.2.3
Case
с:
Th
φ
Ты
φ Τ,
. 170
9.3
Entropy Maximization for Atomic Ionization
. 171
9.4
Multitemperature Dissociation
. 172
9.5
Diatom Two-Temperature Ionization
. 173
9.6
Two-Temperature Hydrogen Plasma
. 175
10
Thermodynamics of Planetary Plasmas
. 181
10.1
Basic Equations
. 181
10.2
Air Plasmas
. 184
10.3
Thermodynamic Properties of High-Temperature
Mars-Atmosphere Species
. 202
10.4
Thermodynamic Properties of High-Temperature
Jupiter-Atmosphere Species
. 217
A Spectral Terms for Atoms and Molecules
. 231
A.I Atomic Electronic Terms
. 231
A.I.I Calculation of
L
. 232
A.
1.2
Calculation of
S
. 232
A.
1.3
Calculation of
ƒ . 233
A.2 Complete Sets of Electronic Levels
. 237
A.2.1 Helium
. 238
A.2.2 Oxygen
. 239
A.3 Beyond the Hydrogenoid Approximation
. 241
A.4 Electronic Terms of Diatomic Molecules
. 243
A.4.
1
H2 Molecule
. 244
A.4.2 N2 Molecule
. 246
A.4.3 Nt Molecule
. 249
XIV
Contents
В
Tables
of Partition Function of Atmospheric Species
. 251
B.I Partition Functions Independent of the Pressure
. 251
B.2 Selfconsitent Partition Functions of Atomic Species
in Air Atmosphere
. 261
B.3 Selfconsitent Partition Functions of Atomic Species
in Mars Atmosphere
. 271
B.4 Selfconsitent Partition Functions of Atomic Species
in Jupiter Atmosphere
. 290
С
Constants
. 293
C.
1
Conversion Factors
. 293
References
. 295
Index
. 303
Springer
Series
on Atomic, Optical «id Plasma Physics
66
Mario
Capitelli
■
Gianpiero
Colonna
-
Antonio
D'Angola
Fundamental Aspects of Plasma Chemical Physics
Thermodynamics
Fundamental Aspects of Plasma Chemical Physics
-
Thermodynamics develops basic
and advanced concepts of plasma thermodynamics from both classical and statistical
points of view.
After a refreshment of classical thermodynamics applied to the dissociation and
ionization regimes, the book invites the reader to discover the role of electronic
excitation in affecting the properties of plasmas, a topic often overlooked by the thermal
plasma community.
Particular attention is devoted to the problem of the divergence of the partition function
of atomic species and the state-to-state approach for calculating the partition function
of diatomic and polyatomic molecules. The limit of ideal gas approximation is also
discussed, by introducing Debye-Huckel and
vinai
corrections.
Throughout the book, worked examples are given in order to clarify concepts and
mathematical approaches.
This book is a first of a series of three books to be published by the authors on funda¬
mental aspects of plasma chemical physics. The next books will discuss transport and
kinetics. |
| any_adam_object | 1 |
| author | Capitelli, Mario 1941- Colonna, Gianpiero D'Angola, Antonio |
| author_GND | (DE-588)1158171900 (DE-588)1124178430 (DE-588)1124178120 |
| author_facet | Capitelli, Mario 1941- Colonna, Gianpiero D'Angola, Antonio |
| author_role | aut aut aut |
| author_sort | Capitelli, Mario 1941- |
| author_variant | m c mc g c gc a d ad |
| building | Verbundindex |
| bvnumber | BV039657789 |
| ctrlnum | (OCoLC)767886741 (DE-599)DNB100793994X |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV039657789 |
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| indexdate | 2024-07-21T00:13:49Z |
| institution | BVB |
| isbn | 9781441981813 |
| language | English |
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| series | Springer series on atomic, optical and plasma physics |
| series2 | Springer series on atomic, optical and plasma physics |
| spelling | Capitelli, Mario 1941- Verfasser (DE-588)1158171900 aut Fundamental aspects of plasma chemical physics thermodynamics Mario Capitelli ; Gianpiero Colonna ; Antonio D'Angola New York [u.a.] Springer 2012 XVII, 308 S. Ill. txt rdacontent n rdamedia nc rdacarrier Springer series on atomic, optical and plasma physics 66 Atmosphäre (DE-588)4003397-1 gnd rswk-swf Thermodynamik (DE-588)4059827-5 gnd rswk-swf Planet (DE-588)4046212-2 gnd rswk-swf Plasmaphysik (DE-588)4046259-6 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Plasmaphysik (DE-588)4046259-6 s DE-604 Thermodynamik (DE-588)4059827-5 s Planet (DE-588)4046212-2 s Atmosphäre (DE-588)4003397-1 s Colonna, Gianpiero Verfasser (DE-588)1124178430 aut D'Angola, Antonio Verfasser (DE-588)1124178120 aut Erscheint auch als Online-Ausgabe 978-1-4419-8182-0 Springer series on atomic, optical and plasma physics 66 (DE-604)BV013270105 66 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3554185&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024507289&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024507289&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Capitelli, Mario 1941- Colonna, Gianpiero D'Angola, Antonio Fundamental aspects of plasma chemical physics thermodynamics Springer series on atomic, optical and plasma physics Atmosphäre (DE-588)4003397-1 gnd Thermodynamik (DE-588)4059827-5 gnd Planet (DE-588)4046212-2 gnd Plasmaphysik (DE-588)4046259-6 gnd |
| subject_GND | (DE-588)4003397-1 (DE-588)4059827-5 (DE-588)4046212-2 (DE-588)4046259-6 (DE-588)4151278-9 |
| title | Fundamental aspects of plasma chemical physics thermodynamics |
| title_auth | Fundamental aspects of plasma chemical physics thermodynamics |
| title_exact_search | Fundamental aspects of plasma chemical physics thermodynamics |
| title_full | Fundamental aspects of plasma chemical physics thermodynamics Mario Capitelli ; Gianpiero Colonna ; Antonio D'Angola |
| title_fullStr | Fundamental aspects of plasma chemical physics thermodynamics Mario Capitelli ; Gianpiero Colonna ; Antonio D'Angola |
| title_full_unstemmed | Fundamental aspects of plasma chemical physics thermodynamics Mario Capitelli ; Gianpiero Colonna ; Antonio D'Angola |
| title_short | Fundamental aspects of plasma chemical physics |
| title_sort | fundamental aspects of plasma chemical physics thermodynamics |
| title_sub | thermodynamics |
| topic | Atmosphäre (DE-588)4003397-1 gnd Thermodynamik (DE-588)4059827-5 gnd Planet (DE-588)4046212-2 gnd Plasmaphysik (DE-588)4046259-6 gnd |
| topic_facet | Atmosphäre Thermodynamik Planet Plasmaphysik Einführung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3554185&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024507289&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024507289&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013270105 |
| work_keys_str_mv | AT capitellimario fundamentalaspectsofplasmachemicalphysicsthermodynamics AT colonnagianpiero fundamentalaspectsofplasmachemicalphysicsthermodynamics AT dangolaantonio fundamentalaspectsofplasmachemicalphysicsthermodynamics |