Chemistry

Avogadro's constant

Avogadro's constant


We are searching data for your request:

Forums and discussions:
Manuals and reference books:
Data from registers:
Wait the end of the search in all databases.
Upon completion, a link will appear to access the found materials.

Area of ​​Expertise - General Chemistry

The Avogadro constant (symbol: NA.) indicates the number of atoms or molecules that are in one mole of a substance:

NA.=6,022141791023mol-1

See also: mole, amount of substance, molar mass, molar mass, Loschmidt constant

Learning units in which the term is dealt with

Solutions40 min.

ChemistryGeneral Chemistryliquids

The concept of the solution is discussed in the learning unit.

Atomic mass30 min.

ChemistryGeneral Chemistryatomic structure

Introduction to atomic mass, atomic weight, atomic mass unit, molar mass and mass spectroscopy.

Ideal gas20 min.

ChemistryPhysical chemistrythermodynamics

Apply ideal gas equation and other gas laws.


Dr. Luthardt's chemistry pages

Your browser does not support CSS. The page layout intended for the display of this website is therefore not applied / displayed. If this is not your intention, you have probably deactivated author mode in your browser. Nevertheless, these pages can be read and navigated.
The texts of the info boxes are output inline.
Please allow author mode or use a CSS-compatible browser if you want to view these pages as they were designed by the author.


Table of contents

The Italian physicist Amedeo Avogadro recognized as early as 1811 that equal volumes of different ideal gases contain the same number of molecules (Avogadro's law). In 1865, the Austrian physicist and chemist Josef Loschmidt succeeded for the first time in determining the size of molecules by order of magnitude. Ludwig Boltzmann named the number of molecules in one cubic centimeter of air derived from Loschmidt's results Loschmidt number. The number of particles per unit volume under normal conditions becomes Loschmidt's constant NL. called. The term Loschmidt number However, it is incorrectly synonymous - especially in older German-language literature Avogadro number used.

It was not until 1909 (after the deaths of Loschmidt and Avogadro) that the French chemist Jean-Baptiste Perrin suggested the number of particles in a mole as Avogadro number to call.


Avogadro's constant

Avogadro's constant, NA., a fundamental constant that is defined as the number of particles contained in the amount of substance of a mole (see Loschmidt number):

. The Avogadro constant can be determined experimentally using various methods. This includes the measurement of the general gas constant and its comparison with the Boltzmann constant (NA. = R./kB.), the measurement of Faraday's constant and its comparison with the charge of the individual electron (NA. = F./e) and the determination of the number of ions in a crystal of known density using the X-ray diffraction method. The reason for fixing this very number of molecules as one mole was to fix the molar mass of hydrogen with

, i.e. with as many kg as the relative molecular weight indicates.

Reader opinion

If you have any comments on the content of this article, you can inform the editors by e-mail. We read your letter, but we ask for your understanding that we cannot answer every one.

Staff Volume I and II

Silvia Barnert
Dr. Matthias Delbrück
Dr. Reinald ice cream
Natalie Fischer
Walter Greulich (editor)
Carsten Heinisch
Sonja Nagel
Dr. Gunnar Radons
MS (Optics) Lynn Schilling-Benz
Dr. Joachim Schüller

Christine Weber
Ulrich Kilian

The author's abbreviation is in square brackets, the number in round brackets is the subject area number, a list of subject areas can be found in the foreword.

Katja Bammel, Berlin [KB2] (A) (13)
Prof. Dr. W. Bauhofer, Hamburg (B) (20, 22)
Sabine Baumann, Heidelberg [SB] (A) (26)
Dr. Günther Beikert, Viernheim [GB1] (A) (04, 10, 25)
Prof. Dr. Hans Berckhemer, Frankfurt [HB1] (A, B) (29)
Prof. Dr. Klaus Bethge, Frankfurt (B) (18)
Prof. Tamás S. Biró, Budapest [TB2] (A) (15)
Dr. Thomas Bührke, Leimen [TB] (A) (32)
Angela Burchard, Geneva [AB] (A) (20, 22)
Dr. Matthias Delbrück, Dossenheim [MD] (A) (12, 24, 29)
Dr. Wolfgang Eisenberg, Leipzig [WE] (A) (15)
Dr. Frank Eisenhaber, Heidelberg [FE] (A) (27 Essay Biophysics)
Dr. Roger Erb, Kassel [RE1] (A) (33)
Dr. Angelika Fallert-Müller, Groß-Zimmer [AFM] (A) (16, 26)
Dr. Andreas Faulstich, Oberkochen [AF4] (A) (Essay Adaptive Optics)
Prof. Dr. Rudolf Feile, Darmstadt (B) (20, 22)
Stephan Fichtner, Dossenheim [SF] (A) (31)
Dr. Thomas Filk, Freiburg [TF3] (A) (10, 15)
Natalie Fischer, Dossenheim [NF] (A) (32)
Prof. Dr. Klaus Fredenhagen, Hamburg [KF2] (A) (Essay Algebraic Quantum Field Theory)
Thomas Fuhrmann, Heidelberg [TF1] (A) (14)
Christian Fulda, Heidelberg [CF] (A) (07)
Frank Gabler, Frankfurt [FG1] (A) (22 essay data processing systems for future high-energy and heavy-ion experiments)
Dr. Harald Genz, Darmstadt [HG1] (A) (18)
Michael Gerding, Kühlungsborn [MG2] (A) (13)
Andrea Greiner, Heidelberg [AG1] (A) (06)
Uwe Grigoleit, Göttingen [UG] (A) (13)
Prof. Dr. Michael Grodzicki, Salzburg [MG1] (A, B) (01, 16 essay density functional theory)
Prof. Dr. Hellmut Haberland, Freiburg [HH4] (A) (Essay Cluster Physics)
Dr. Andreas Heilmann, Chemnitz [AH1] (A) (20, 21)
Carsten Heinisch, Kaiserslautern [CH] (A) (03)
Dr. Hermann Hinsch, Heidelberg [HH2] (A) (22)
Jens Hoerner, Hanover [JH] (A) (20)
Dr. Dieter Hoffmann, Berlin [DH2] (A, B) (02)
Renate Jerecic, Heidelberg [RJ] (A) (28)
Dr. Ulrich Kilian, Hamburg [UK] (A) (19)
Thomas Kluge, Mainz [TK] (A) (20)
Achim Knoll, Strasbourg [AK1] (A) (20)
Andreas Kohlmann, Heidelberg [AK2] (A) (29)
Dr. Barbara Kopff, Heidelberg [BK2] (A) (26)
Dr. Bernd Krause, Karlsruhe [BK1] (A) (19)
Ralph Kühnle, Heidelberg [RK1] (A) (05)
Dr. Andreas Markwitz, Dresden [AM1] (A) (21)
Holger Mathiszik, Bensheim [HM3] (A) (29)
Mathias Mertens, Mainz [MM1] (A) (15)
Dr. Dirk Metzger, Mannheim [DM] (A) (07)
Dr. Rudi Michalak, Warwick, UK [RM1] (A) (23)
Helmut Milde, Dresden [HM1] (A) (09 Essay Acoustics)
Guenter Milde, Dresden [GM1] (A) (12)
Maritha Milde, Dresden [MM2] (A) (12)
Dr. Christopher Monroe, Boulder, USA [CM] (A) (Essay Atom and Ion Traps)
Dr. Andreas Müller, Kiel [AM2] (A) (33 Essay Everyday Physics)
Dr. Nikolaus Nestle, Regensburg [NN] (A) (05)
Dr. Thomas Otto, Geneva [TO] (A) (06 Essay Analytical Mechanics)
Prof. Dr. Harry Paul, Berlin [HP] (A) (13)
Cand. Phys. Christof Pflumm, Karlsruhe [CP] (A) (06, 08)
Prof. Dr. Ulrich Platt, Heidelberg [UP] (A) (Essay Atmosphere)
Dr. Oliver Probst, Monterrey, Mexico [OP] (A) (30)
Dr. Roland Andreas Puntigam, Munich [RAP] (A) (14 Essay General Theory of Relativity)
Dr. Gunnar Radons, Mannheim [GR1] (A) (01, 02, 32)
Prof. Dr. Günter Radons, Stuttgart [GR2] (A) (11)
Oliver Rattunde, Freiburg [OR2] (A) (16 essay cluster physics)
Dr. Karl-Henning Rehren, Göttingen [KHR] (A) (Essay Algebraic Quantum Field Theory)
Ingrid Reiser, Manhattan, USA [IR] (A) (16)
Dr. Uwe Renner, Leipzig [UR] (A) (10)
Dr. Ursula Resch-Esser, Berlin [URE] (A) (21)
Prof. Dr. Hermann Rietschel, Karlsruhe [HR1] (A, B) (23)
Dr. Peter Oliver Roll, Mainz [OR1] (A, B) (04, 15 essay distributions)
Hans-Jörg Rutsch, Heidelberg [HJR] (A) (29)
Dr. Margit Sarstedt, Newcastle upon Tyne, UK [MS2] (A) (25)
Rolf Sauermost, Waldkirch [RS1] (A) (02)
Prof. Dr. Arthur Scharmann, Giessen (B) (06, 20)
Dr. Arne Schirrmacher, Munich [AS5] (A) (02)
Christina Schmitt, Freiburg [CS] (A) (16)
Cand. Phys. Jörg Schuler, Karlsruhe [JS1] (A) (06, 08)
Dr. Joachim Schüller, Mainz [JS2] (A) (10 essay analytical mechanics)
Prof. Dr. Heinz-Georg Schuster, Kiel [HGS] (A, B) (11 essay Chaos)
Richard Schwalbach, Mainz [RS2] (A) (17)
Prof. Dr. Klaus Stierstadt, Munich [KS] (A, B) (07, 20)
Cornelius Suchy, Brussels [CS2] (A) (20)
William J. Thompson, Chapel Hill, USA [WYD] (A) (Essay Computers in Physics)
Dr. Thomas Volkmann, Cologne [TV] (A) (20)
Dipl.-Geophys. Rolf vom Stein, Cologne [RVS] (A) (29)
Patrick Voss-de Haan, Mainz [PVDH] (A) (17)
Thomas Wagner, Heidelberg [TW2] (A) (29 essay atmosphere)
Manfred Weber, Frankfurt [MW1] (A) (28)
Markus Wenke, Heidelberg [MW3] (A) (15)
Prof. Dr. David Wineland, Boulder, USA [DW] (A) (Essay Atom and Ion Traps)
Dr. Harald Wirth, Saint Genis-Pouilly, F [HW1] (A) (20) Steffen Wolf, Freiburg [SW] (A) (16)
Dr. Michael Zillgitt, Frankfurt [MZ] (A) (02)
Prof. Dr. Helmut Zimmermann, Jena [HZ] (A) (32)
Dr. Kai Zuber, Dortmund [KZ] (A) (19)

Dr. Ulrich Kilian (responsible)
Christine Weber

Priv.-Doz. Dr. Dieter Hoffmann, Berlin

The author's abbreviation is in square brackets, the number in round brackets is the subject area number, a list of subject areas can be found in the foreword.

Markus Aspelmeyer, Munich [MA1] (A) (20)
Dr. Katja Bammel, Cagliari, I [KB2] (A) (13)
Doz. Hans-Georg Bartel, Berlin [HGB] (A) (02)
Steffen Bauer, Karlsruhe [SB2] (A) (20, 22)
Dr. Günther Beikert, Viernheim [GB1] (A) (04, 10, 25)
Prof. Dr. Hans Berckhemer, Frankfurt [HB1] (A, B) (29)
Dr. Werner Biberacher, Garching [WB] (B) (20)
Prof. Tamás S. Biró, Budapest [TB2] (A) (15)
Prof. Dr. Helmut Bokemeyer, Darmstadt [HB2] (A, B) (18)
Dr. Ulf Borgeest, Hamburg [UB2] (A) (Essay Quasars)
Dr. Thomas Bührke, Leimen [TB] (A) (32)
Jochen Büttner, Berlin [JB] (A) (02)
Dr. Matthias Delbrück, Dossenheim [MD] (A) (12, 24, 29)
Karl Eberl, Stuttgart [KE] (A) (Essay Molecular Beam Epitaxy)
Dr. Dietrich Einzel, Garching [DE] (A) (20)
Dr. Wolfgang Eisenberg, Leipzig [WE] (A) (15)
Dr. Frank Eisenhaber, Vienna [FE] (A) (27)
Dr. Roger Erb, Kassel [RE1] (A) (33 essay Optical phenomena in the atmosphere)
Dr. Christian Eurich, Bremen [CE] (A) (Essay Neural Networks)
Dr. Angelika Fallert-Müller, Groß-Zimmer [AFM] (A) (16, 26)
Stephan Fichtner, Heidelberg [SF] (A) (31)
Dr. Thomas Filk, Freiburg [TF3] (A) (10, 15 essay percolation theory)
Natalie Fischer, Walldorf [NF] (A) (32)
Dr. Harald Fuchs, Münster [HF] (A) (Essay scanning probe microscopy)
Dr. Thomas Fuhrmann, Mannheim [TF1] (A) (14)
Christian Fulda, Hanover [CF] (A) (07)
Dr. Harald Genz, Darmstadt [HG1] (A) (18)
Michael Gerding, Kühlungsborn [MG2] (A) (13)
Prof. Dr. Gerd Graßhoff, Bern [GG] (A) (02)
Andrea Greiner, Heidelberg [AG1] (A) (06)
Uwe Grigoleit, Weinheim [UG] (A) (13)
Prof. Dr. Michael Grodzicki, Salzburg [MG1] (B) (01, 16)
Gunther Hadwich, Munich [GH] (A) (20)
Dr. Andreas Heilmann, Halle [AH1] (A) (20, 21)
Carsten Heinisch, Kaiserslautern [CH] (A) (03)
Dr. Christoph Heinze, Hamburg [CH3] (A) (29)
Dr. Marc Hemberger, Heidelberg [MH2] (A) (19)
Florian Herold, Munich [FH] (A) (20)
Dr. Hermann Hinsch, Heidelberg [HH2] (A) (22)
Priv.-Doz. Dr. Dieter Hoffmann, Berlin [DH2] (A, B) (02)
Dr. Georg Hoffmann, Gif-sur-Yvette, FR [GH1] (A) (29)
Dr. Gert Jacobi, Hamburg [GJ] (B) (09)
Renate Jerecic, Heidelberg [RJ] (A) (28)
Dr. Catherine Journet, Stuttgart [CJ] (A) (Essay nanotubes)
Prof. Dr. Josef Kallrath, Ludwigshafen, [JK] (A) (04 Essay Numerical Methods in Physics)
Priv.-Doz. Dr. Claus Kiefer, Freiburg [CK] (A) (14, 15 Essay Quantum Gravity)
Richard Kilian, Wiesbaden [RK3] (22)
Dr. Ulrich Kilian, Heidelberg [UK] (A) (19)
Dr. Uwe Klemradt, Munich [UK1] (A) (20, essay phase transitions and critical phenomena)
Dr. Achim Knoll, Karlsruhe [AK1] (A) (20)
Dr. Alexei Kojevnikov, College Park, USA [AK3] (A) (02)
Dr. Berndt Koslowski, Ulm [BK] (A) (Essay Surface and Interface Physics)
Dr. Bernd Krause, Munich [BK1] (A) (19)
Dr. Jens Kreisel, Grenoble [JK2] (A) (20)
Dr. Gero Kube, Mainz [GK] (A) (18)
Ralph Kühnle, Heidelberg [RK1] (A) (05)
Volker Lauff, Magdeburg [VL] (A) (04)
Priv.-Doz. Dr. Axel Lorke, Munich [AL] (A) (20)
Dr. Andreas Markwitz, Lower Hutt, NZ [AM1] (A) (21)
Holger Mathiszik, Celle [HM3] (A) (29)
Dr. Dirk Metzger, Mannheim [DM] (A) (07)
Prof. Dr. Karl von Meyenn, Munich [KVM] (A) (02)
Dr. Rudi Michalak, Augsburg [RM1] (A) (23)
Helmut Milde, Dresden [HM1] (A) (09)
Günter Milde, Dresden [GM1] (A) (12)
Marita Milde, Dresden [MM2] (A) (12)
Dr. Andreas Müller, Kiel [AM2] (A) (33)
Dr. Nikolaus Nestle, Leipzig [NN] (A, B) (05, 20 essays molecular beam epitaxy, surface and interface physics and scanning probe microscopy)
Dr. Thomas Otto, Geneva [TO] (A) (06)
Dr. Ulrich Parlitz, Göttingen [UP1] (A) (11)
Christof Pflumm, Karlsruhe [CP] (A) (06, 08)
Dr. Oliver Probst, Monterrey, Mexico [OP] (A) (30)
Dr. Roland Andreas Puntigam, Munich [RAP] (A) (14)
Dr. Andrea Quintel, Stuttgart [AQ] (A) (Essay nanotubes)
Dr. Gunnar Radons, Mannheim [GR1] (A) (01, 02, 32)
Dr. Max Rauner, Weinheim [MR3] (A) (15 Essay Quantum Informatics)
Robert Raussendorf, Munich [RR1] (A) (19)
Ingrid Reiser, Manhattan, USA [IR] (A) (16)
Dr. Uwe Renner, Leipzig [UR] (A) (10)
Dr. Ursula Resch-Esser, Berlin [URE] (A) (21)
Dr. Peter Oliver Roll, Ingelheim [OR1] (A, B) (15 essay quantum mechanics and its interpretations)
Prof. Dr. Siegmar Roth, Stuttgart [SR] (A) (Essay Nanotubes)
Hans-Jörg Rutsch, Walldorf [HJR] (A) (29)
Dr. Margit Sarstedt, Leuven, B [MS2] (A) (25)
Rolf Sauermost, Waldkirch [RS1] (A) (02)
Matthias Schemmel, Berlin [MS4] (A) (02)
Michael Schmid, Stuttgart [MS5] (A) (Essay nanotubes)
Dr. Martin Schön, Constance [MS] (A) (14)
Jörg Schuler, Taunusstein [JS1] (A) (06, 08)
Dr. Joachim Schüller, Dossenheim [JS2] (A) (10)
Richard Schwalbach, Mainz [RS2] (A) (17)
Prof. Dr. Paul Steinhardt, Princeton, USA [PS] (A) (Essay quasicrystals and quasi-unit cells)
Prof. Dr. Klaus Stierstadt, Munich [KS] (B)
Dr. Siegmund Stintzing, Munich [SS1] (A) (22)
Cornelius Suchy, Brussels [CS2] (A) (20)
Dr. Volker Theileis, Munich [VT] (A) (20)
Prof. Dr. Gerald 't Hooft, Utrecht, NL [GT2] (A) (essay renormalization)
Dr. Annette Vogt, Berlin [AV] (A) (02)
Dr. Thomas Volkmann, Cologne [TV] (A) (20)
Rolf vom Stein, Cologne [RVS] (A) (29)
Patrick Voss-de Haan, Mainz [PVDH] (A) (17)
Dr. Thomas Wagner, Heidelberg [TW2] (A) (29)
Dr. Hildegard Wasmuth-Fries, Ludwigshafen [HWF] (A) (26)
Manfred Weber, Frankfurt [MW1] (A) (28)
Priv.-Doz. Dr. Burghard Weiss, Lübeck [BW2] (A) (02)
Prof. Dr. Klaus Winter, Berlin [KW] (A) (essay neutrino physics)
Dr. Achim Wixforth, Munich [AW1] (A) (20)
Dr. Steffen Wolf, Berkeley, USA [SW] (A) (16)
Priv.-Doz. Dr. Jochen Wosnitza, Karlsruhe [JW] (A) (23 essay organic superconductors)
Priv.-Doz. Dr. Jörg Zegenhagen, Stuttgart [JZ3] (A) (21 essay surface reconstructions)
Dr. Kai Zuber, Dortmund [KZ] (A) (19)
Dr. Werner Zwerger, Munich [WZ] (A) (20)

Dr. Ulrich Kilian (responsible)
Christine Weber

Priv.-Doz. Dr. Dieter Hoffmann, Berlin

The author's abbreviation is in square brackets, the number in round brackets is the subject area number, a list of subject areas can be found in the foreword.

Prof. Dr. Klaus Andres, Garching [KA] (A) (10)
Markus Aspelmeyer, Munich [MA1] (A) (20)
Dr. Katja Bammel, Cagliari, I [KB2] (A) (13)
Doz. Hans-Georg Bartel, Berlin [HGB] (A) (02)
Steffen Bauer, Karlsruhe [SB2] (A) (20, 22)
Dr. Günther Beikert, Viernheim [GB1] (A) (04, 10, 25)
Prof. Dr. Hans Berckhemer, Frankfurt [HB1] (A, B) (29 Essay Seismology)
Dr. Werner Biberacher, Garching [WB] (B) (20)
Prof. Tamás S. Biró, Budapest [TB2] (A) (15)
Prof. Dr. Helmut Bokemeyer, Darmstadt [HB2] (A, B) (18)
Dr. Thomas Bührke, Leimen [TB] (A) (32)
Jochen Büttner, Berlin [JB] (A) (02)
Dr. Matthias Delbrück, Dossenheim [MD] (A) (12, 24, 29)
Prof. Dr. Martin Dressel, Stuttgart (A) (essay spin density waves)
Dr. Michael Eckert, Munich [ME] (A) (02)
Dr. Dietrich Einzel, Garching (A) (essay superconductivity and superfluidity)
Dr. Wolfgang Eisenberg, Leipzig [WE] (A) (15)
Dr. Frank Eisenhaber, Vienna [FE] (A) (27)
Dr. Roger Erb, Kassel [RE1] (A) (33)
Dr. Angelika Fallert-Müller, Groß-Zimmer [AFM] (A) (16, 26)
Stephan Fichtner, Heidelberg [SF] (A) (31)
Dr. Thomas Filk, Freiburg [TF3] (A) (10, 15)
Natalie Fischer, Walldorf [NF] (A) (32)
Dr. Thomas Fuhrmann, Mannheim [TF1] (A) (14)
Christian Fulda, Hanover [CF] (A) (07)
Frank Gabler, Frankfurt [FG1] (A) (22)
Dr. Harald Genz, Darmstadt [HG1] (A) (18)
Prof. Dr. Henning Genz, Karlsruhe [HG2] (A) (Essays Symmetry and Vacuum)
Dr. Michael Gerding, Potsdam [MG2] (A) (13)
Andrea Greiner, Heidelberg [AG1] (A) (06)
Uwe Grigoleit, Weinheim [UG] (A) (13)
Gunther Hadwich, Munich [GH] (A) (20)
Dr. Andreas Heilmann, Halle [AH1] (A) (20, 21)
Carsten Heinisch, Kaiserslautern [CH] (A) (03)
Dr. Marc Hemberger, Heidelberg [MH2] (A) (19)
Dr. Sascha Hilgenfeldt, Cambridge, USA (A) (essay sonoluminescence)
Dr. Hermann Hinsch, Heidelberg [HH2] (A) (22)
Priv.-Doz. Dr. Dieter Hoffmann, Berlin [DH2] (A, B) (02)
Dr. Gert Jacobi, Hamburg [GJ] (B) (09)
Renate Jerecic, Heidelberg [RJ] (A) (28)
Prof. Dr. Josef Kallrath, Ludwigshafen [JK] (A) (04)
Priv.-Doz. Dr. Claus Kiefer, Freiburg [CK] (A) (14, 15)
Richard Kilian, Wiesbaden [RK3] (22)
Dr. Ulrich Kilian, Heidelberg [UK] (A) (19)
Thomas Kluge, Jülich [TK] (A) (20)
Dr. Achim Knoll, Karlsruhe [AK1] (A) (20)
Dr. Alexei Kojevnikov, College Park, USA [AK3] (A) (02)
Dr. Bernd Krause, Munich [BK1] (A) (19)
Dr. Gero Kube, Mainz [GK] (A) (18)
Ralph Kühnle, Heidelberg [RK1] (A) (05)
Volker Lauff, Magdeburg [VL] (A) (04)
Dr. Anton Lerf, Garching [AL1] (A) (23)
Dr. Detlef Lohse, Twente, NL (A) (essay sonoluminescence)
Priv.-Doz. Dr. Axel Lorke, Munich [AL] (A) (20)
Prof. Dr. Jan Louis, Halle (A) (essay string theory)
Dr. Andreas Markwitz, Lower Hutt, NZ [AM1] (A) (21)
Holger Mathiszik, Celle [HM3] (A) (29)
Dr. Dirk Metzger, Mannheim [DM] (A) (07)
Dr. Rudi Michalak, Dresden [RM1] (A) (23 essay low temperature physics)
Günter Milde, Dresden [GM1] (A) (12)
Helmut Milde, Dresden [HM1] (A) (09)
Marita Milde, Dresden [MM2] (A) (12)
Prof. Dr. Andreas Müller, Trier [AM2] (A) (33)
Prof. Dr. Karl Otto Münnich, Heidelberg (A) (Essay Environmental Physics)
Dr. Nikolaus Nestle, Leipzig [NN] (A, B) (05, 20)
Dr. Thomas Otto, Geneva [TO] (A) (06)
Priv.-Doz. Dr. Ulrich Parlitz, Göttingen [UP1] (A) (11)
Christof Pflumm, Karlsruhe [CP] (A) (06, 08)
Dr. Oliver Probst, Monterrey, Mexico [OP] (A) (30)
Dr. Roland Andreas Puntigam, Munich [RAP] (A) (14)
Dr. Gunnar Radons, Mannheim [GR1] (A) (01, 02, 32)
Dr. Max Rauner, Weinheim [MR3] (A) (15)
Robert Raussendorf, Munich [RR1] (A) (19)
Ingrid Reiser, Manhattan, USA [IR] (A) (16)
Dr. Uwe Renner, Leipzig [UR] (A) (10)
Dr. Ursula Resch-Esser, Berlin [URE] (A) (21)
Dr. Peter Oliver Roll, Ingelheim [OR1] (A, B) (15)
Hans-Jörg Rutsch, Walldorf [HJR] (A) (29)
Rolf Sauermost, Waldkirch [RS1] (A) (02)
Matthias Schemmel, Berlin [MS4] (A) (02)
Prof. Dr. Erhard Scholz, Wuppertal [ES] (A) (02)
Dr. Martin Schön, Konstanz [MS] (A) (14 essay special theory of relativity)
Dr. Erwin Schuberth, Garching [ES4] (A) (23)
Jörg Schuler, Taunusstein [JS1] (A) (06, 08)
Dr. Joachim Schüller, Dossenheim [JS2] (A) (10)
Richard Schwalbach, Mainz [RS2] (A) (17)
Prof. Dr. Klaus Stierstadt, Munich [KS] (B)
Dr. Siegmund Stintzing, Munich [SS1] (A) (22)
Dr. Berthold Suchan, Giessen [BS] (A) (Essay Philosophy of Science)
Cornelius Suchy, Brussels [CS2] (A) (20)
Dr. Volker Theileis, Munich [VT] (A) (20)
Prof. Dr. Stefan Theisen, Munich (A) (essay string theory)
Dr. Annette Vogt, Berlin [AV] (A) (02)
Dr. Thomas Volkmann, Cologne [TV] (A) (20)
Rolf vom Stein, Cologne [RVS] (A) (29)
Dr. Patrick Voss-de Haan, Mainz [PVDH] (A) (17)
Dr. Thomas Wagner, Heidelberg [TW2] (A) (29)
Manfred Weber, Frankfurt [MW1] (A) (28)
Dr. Martin Werner, Hamburg [MW] (A) (29)
Dr. Achim Wixforth, Munich [AW1] (A) (20)
Dr. Steffen Wolf, Berkeley, USA [SW] (A) (16)
Dr. Stefan L. Wolff, Munich [SW1] (A) (02)
Priv.-Doz. Dr. Jochen Wosnitza, Karlsruhe [JW] (A) (23)
Dr. Kai Zuber, Dortmund [KZ] (A) (19)
Dr. Werner Zwerger, Munich [WZ] (A) (20)

Articles on the topic

Load.

Changes to the information due to new measurements

How the specifications of the fundamental constants change with ever more precise measurements, that holds Committee on Data for Science and Technology, CODATA for short, in documents. The one that works closely with CODATA National Institute of Standards and Technology (NIST) in the USA has been publishing PDF documents online for some time with current estimates of the values ​​of the physical constants, including older documents with which e.g. & # 160B. Have all changes recorded in the period from 1986 to 2006.


Avogadro's constant

Avogadro's constant, Sign NA., earlier Loschmidt-constant, Sign NL., gives the number of particles or elementary units contained in 1 mol (molar number of particles, Mole). According to the current state of measurement technology, the following applies: NA. = 6.0221367 (36) Â · 10 23 mol -1. The A. is a size with the unit mol -1. In some calculations the pure numerical value is used without a unit. In order to avoid confusion, the name Avogadro-Number N0 to be needed.

As a proportionality factor, the A. links molars with molecular sizes, e.g. B. M. = NA. ·m, VM. = NA. · & # 966, R. = NA. ·k, F. = NA. ·e0, E.γ = NA. ·H · & # 957. It mean M. molar mass, m Mass of a molecule, VM. Molecular volume, & # 966 mean space requirement of a molecule, & # 252l, R. Gas constant, k Boltzmann constant, F. Faraday constant, e0 electric elementary charge, E.& # 947 Energy of 1 mol light quanta Ha·ν.

Reader opinion

If you have any comments on the content of this article, you can inform the editors by e-mail. We read your letter, but we ask for your understanding that we cannot answer every one.

Dr. Andrea Acker, Leipzig
Prof. Dr. Heinrich Bremer, Berlin
Prof. Dr. Walter Dannecker, Hamburg
Prof. Dr. Hans-Günther Däßler, Freital
Dr. Claus-Stefan Dreier, Hamburg
Dr. Ulrich H. Engelhardt, Braunschweig
Dr. Andreas Fath, Heidelberg
Dr. Lutz-Karsten Finze, Grossenhain-Weßnitz
Dr. Rudolf Friedemann, Halle
Dr. Sandra Grande, Heidelberg
Prof. Dr. Carola Griehl, Halle
Prof. Dr. Gerhard Gritzner, Linz
Prof. Dr. Helmut Hartung, Halle
Prof. Dr. Peter Hellmold, Halle
Prof. Dr. Günter Hoffmann, Eberswalde
Prof. Dr. Hans-Dieter Jakubke, Leipzig
Prof. Dr. Thomas M. Klapötke, Munich
Prof. Dr. Hans-Peter Kleber, Leipzig
Prof. Dr. Reinhard Kramolowsky, Hamburg
Dr. Wolf Eberhard Kraus, Dresden
Dr. Günter Kraus, Halle
Prof. Dr. Ulrich Liebscher, Dresden
Dr. Wolfgang Liebscher, Berlin
Dr. Frank Meyberg, Hamburg
Prof. Dr. Peter Nuhn, Halle
Dr. Hartmut Ploss, Hamburg
Dr. Dr. Manfred Pulst, Leipzig
Dr. Anna Schleitzer, Marktschwaben
Prof. Dr. Harald Schmidt, Linz
Dr. Helmut Schmiers, Freiberg
Prof. Dr. Klaus Schulze, Leipzig
Prof. Dr. Rüdiger Stolz, Jena
Prof. Dr. Rudolf Taube, Merseburg
Dr. Ralf Trapp, Wassenaar, NL
Dr. Martina Venschott, Hanover
Prof. Dr. Rainer Vulpius, Freiberg
Prof. Dr. Günther Wagner, Leipzig
Prof. Dr. Manfred Weissenfels, Dresden
Dr. Klaus-Peter Wendlandt, Merseburg
Prof. Dr. Otto Wienhaus, Tharandt


The Avogadro constant

In May 2019, the new SI definitions for amperes, kilograms, kelvins and moles came into force. For the mole, the SI unit of the amount of substance, the Avogadro constant was redefined and its value was set as the defining constant. But: How did it come about that a comparative number became a natural constant? Embark on a short journey from the beginnings to the present day: From the gas laws of the 17th century to the new SI system of units of the 21st century. Get to know the meaning of the natural constants in general and the Avogadro constant in particular. Get an overview of the term “mole” and find out which (exemplary) methods can be used to determine the Avogadro constant. Finally, you will get an overview of the history of the SI system of units and the new definitions of the SI units.

Torsten Schmiermund has worked as a chemical technician in the chemical industry for many years. In addition to other books in the essentialsSeries, he has published a chemistry textbook (Das Chemiewissen für die Feuerwehr, Springer, 2019).


Avogadro first studied law; he came from a family of lawyers. In 1796 he became a doctor of canon law. From 1800 he studied mathematics and physics, which was more in keeping with his inclinations. In 1803 it was published for the first time on physics. In 1809 he became professor of natural philosophy at the Real Collegio in Vercelli. Here he worked out his molecular hypothesis. In 1820 he was appointed professor of mathematical physics at the University of Turin. In 1840 he was elected a member of the Leopoldina Scholars' Academy.

Avogadro dealt with the relationship between the electrochemical series and the affinity of the elements, the specific heat of gases and atomic and molar volumes. His aim was to describe the chemical properties of the compounds through physical properties.

In 1811 he published his hypothesis that equal volumes of different ideal gases contain the same number of particles (molecules) at the same temperature and pressure (see also Avogadro's law, Avogadro's constant). The Avogadro constant is approx. 6.022 & # 160 × & # 16010 23 & # 160mol -1. He imagined the elementary gases made up of molecules of two atoms. The work went unnoticed for a long time, so that André-Marie Ampère expressed the same idea in 1814. This view contrasted with that of Jöns Jacob Berzelius, one of the great chemists of the 19th century. It was not until 1860 that Avogadro's idea was taken up at the chemists' congress in Karlsruhe, represented there by his student Stanislao Cannizzaro. This enabled numerous contradictions in the terms of the atom, the molecule and the equivalent to be resolved.

The mineral Avogadrite (1926) and the lunar crater Avogadro were named after him. He is the namesake of the Università degli Studi del Piemonte Orientale “Amedeo Avogadro”.


Faraday constant

Faraday constant, F., the electrical charge of 1 mol of elementary charge in coulombs: F. = e NA. = 96 485.309 C / mol (e: Elementary charge, NA.: Avogadro's constant). Is the amount of substance deposited during electrolysis m given in moles so is F. the proportionality constant in Faraday's first law: m = F Q = F I t (Q: with the constant current I. at the time t deposited charge). When the amount of substance in Grams & # 228 equivalent (val) is specified, the proportionality is called the constant electrochemical equivalent to A.. There F. can be determined very precisely, it can be used to determine other natural constants. For example, in the past the unit of charge was coulomb with the help of F. defined by the electrodeposition of silver.

Reader opinion

If you have any comments on the content of this article, you can inform the editors by e-mail. We read your letter, but we ask for your understanding that we cannot answer every one.

Staff Volume I and II

Silvia Barnert
Dr. Matthias Delbrück
Dr. Reinald ice cream
Natalie Fischer
Walter Greulich (editor)
Carsten Heinisch
Sonja Nagel
Dr. Gunnar Radons
MS (Optics) Lynn Schilling-Benz
Dr. Joachim Schüller

Christine Weber
Ulrich Kilian

The author's abbreviation is in square brackets, the number in round brackets is the subject area number, a list of subject areas can be found in the foreword.

Katja Bammel, Berlin [KB2] (A) (13)
Prof. Dr. W. Bauhofer, Hamburg (B) (20, 22)
Sabine Baumann, Heidelberg [SB] (A) (26)
Dr. Günther Beikert, Viernheim [GB1] (A) (04, 10, 25)
Prof. Dr. Hans Berckhemer, Frankfurt [HB1] (A, B) (29)
Prof. Dr. Klaus Bethge, Frankfurt (B) (18)
Prof. Tamás S. Biró, Budapest [TB2] (A) (15)
Dr. Thomas Bührke, Leimen [TB] (A) (32)
Angela Burchard, Geneva [AB] (A) (20, 22)
Dr. Matthias Delbrück, Dossenheim [MD] (A) (12, 24, 29)
Dr. Wolfgang Eisenberg, Leipzig [WE] (A) (15)
Dr. Frank Eisenhaber, Heidelberg [FE] (A) (27 Essay Biophysics)
Dr. Roger Erb, Kassel [RE1] (A) (33)
Dr. Angelika Fallert-Müller, Groß-Zimmer [AFM] (A) (16, 26)
Dr. Andreas Faulstich, Oberkochen [AF4] (A) (Essay Adaptive Optics)
Prof. Dr. Rudolf Feile, Darmstadt (B) (20, 22)
Stephan Fichtner, Dossenheim [SF] (A) (31)
Dr. Thomas Filk, Freiburg [TF3] (A) (10, 15)
Natalie Fischer, Dossenheim [NF] (A) (32)
Prof. Dr. Klaus Fredenhagen, Hamburg [KF2] (A) (Essay Algebraic Quantum Field Theory)
Thomas Fuhrmann, Heidelberg [TF1] (A) (14)
Christian Fulda, Heidelberg [CF] (A) (07)
Frank Gabler, Frankfurt [FG1] (A) (22 essay data processing systems for future high-energy and heavy-ion experiments)
Dr. Harald Genz, Darmstadt [HG1] (A) (18)
Michael Gerding, Kühlungsborn [MG2] (A) (13)
Andrea Greiner, Heidelberg [AG1] (A) (06)
Uwe Grigoleit, Göttingen [UG] (A) (13)
Prof. Dr. Michael Grodzicki, Salzburg [MG1] (A, B) (01, 16 essay density functional theory)
Prof. Dr. Hellmut Haberland, Freiburg [HH4] (A) (Essay Cluster Physics)
Dr. Andreas Heilmann, Chemnitz [AH1] (A) (20, 21)
Carsten Heinisch, Kaiserslautern [CH] (A) (03)
Dr. Hermann Hinsch, Heidelberg [HH2] (A) (22)
Jens Hoerner, Hanover [JH] (A) (20)
Dr. Dieter Hoffmann, Berlin [DH2] (A, B) (02)
Renate Jerecic, Heidelberg [RJ] (A) (28)
Dr. Ulrich Kilian, Hamburg [UK] (A) (19)
Thomas Kluge, Mainz [TK] (A) (20)
Achim Knoll, Strasbourg [AK1] (A) (20)
Andreas Kohlmann, Heidelberg [AK2] (A) (29)
Dr. Barbara Kopff, Heidelberg [BK2] (A) (26)
Dr. Bernd Krause, Karlsruhe [BK1] (A) (19)
Ralph Kühnle, Heidelberg [RK1] (A) (05)
Dr. Andreas Markwitz, Dresden [AM1] (A) (21)
Holger Mathiszik, Bensheim [HM3] (A) (29)
Mathias Mertens, Mainz [MM1] (A) (15)
Dr. Dirk Metzger, Mannheim [DM] (A) (07)
Dr. Rudi Michalak, Warwick, UK [RM1] (A) (23)
Helmut Milde, Dresden [HM1] (A) (09 Essay Acoustics)
Guenter Milde, Dresden [GM1] (A) (12)
Maritha Milde, Dresden [MM2] (A) (12)
Dr. Christopher Monroe, Boulder, USA [CM] (A) (Essay Atom and Ion Traps)
Dr. Andreas Müller, Kiel [AM2] (A) (33 Essay Everyday Physics)
Dr. Nikolaus Nestle, Regensburg [NN] (A) (05)
Dr. Thomas Otto, Geneva [TO] (A) (06 Essay Analytical Mechanics)
Prof. Dr. Harry Paul, Berlin [HP] (A) (13)
Cand. Phys. Christof Pflumm, Karlsruhe [CP] (A) (06, 08)
Prof. Dr. Ulrich Platt, Heidelberg [UP] (A) (Essay Atmosphere)
Dr. Oliver Probst, Monterrey, Mexico [OP] (A) (30)
Dr. Roland Andreas Puntigam, Munich [RAP] (A) (14 Essay General Theory of Relativity)
Dr. Gunnar Radons, Mannheim [GR1] (A) (01, 02, 32)
Prof. Dr. Günter Radons, Stuttgart [GR2] (A) (11)
Oliver Rattunde, Freiburg [OR2] (A) (16 essay cluster physics)
Dr. Karl-Henning Rehren, Göttingen [KHR] (A) (Essay Algebraic Quantum Field Theory)
Ingrid Reiser, Manhattan, USA [IR] (A) (16)
Dr. Uwe Renner, Leipzig [UR] (A) (10)
Dr. Ursula Resch-Esser, Berlin [URE] (A) (21)
Prof. Dr. Hermann Rietschel, Karlsruhe [HR1] (A, B) (23)
Dr. Peter Oliver Roll, Mainz [OR1] (A, B) (04, 15 essay distributions)
Hans-Jörg Rutsch, Heidelberg [HJR] (A) (29)
Dr. Margit Sarstedt, Newcastle upon Tyne, UK [MS2] (A) (25)
Rolf Sauermost, Waldkirch [RS1] (A) (02)
Prof. Dr. Arthur Scharmann, Giessen (B) (06, 20)
Dr. Arne Schirrmacher, Munich [AS5] (A) (02)
Christina Schmitt, Freiburg [CS] (A) (16)
Cand. Phys. Jörg Schuler, Karlsruhe [JS1] (A) (06, 08)
Dr. Joachim Schüller, Mainz [JS2] (A) (10 essay analytical mechanics)
Prof. Dr. Heinz-Georg Schuster, Kiel [HGS] (A, B) (11 essay Chaos)
Richard Schwalbach, Mainz [RS2] (A) (17)
Prof. Dr. Klaus Stierstadt, Munich [KS] (A, B) (07, 20)
Cornelius Suchy, Brussels [CS2] (A) (20)
William J. Thompson, Chapel Hill, USA [WYD] (A) (Essay Computers in Physics)
Dr. Thomas Volkmann, Cologne [TV] (A) (20)
Dipl.-Geophys. Rolf vom Stein, Cologne [RVS] (A) (29)
Patrick Voss-de Haan, Mainz [PVDH] (A) (17)
Thomas Wagner, Heidelberg [TW2] (A) (29 essay atmosphere)
Manfred Weber, Frankfurt [MW1] (A) (28)
Markus Wenke, Heidelberg [MW3] (A) (15)
Prof. Dr. David Wineland, Boulder, USA [DW] (A) (Essay Atom and Ion Traps)
Dr. Harald Wirth, Saint Genis-Pouilly, F [HW1] (A) (20) Steffen Wolf, Freiburg [SW] (A) (16)
Dr. Michael Zillgitt, Frankfurt [MZ] (A) (02)
Prof. Dr. Helmut Zimmermann, Jena [HZ] (A) (32)
Dr. Kai Zuber, Dortmund [KZ] (A) (19)

Dr. Ulrich Kilian (responsible)
Christine Weber

Priv.-Doz. Dr. Dieter Hoffmann, Berlin

The author's abbreviation is in square brackets, the number in round brackets is the subject area number, a list of subject areas can be found in the foreword.

Markus Aspelmeyer, Munich [MA1] (A) (20)
Dr. Katja Bammel, Cagliari, I [KB2] (A) (13)
Doz. Hans-Georg Bartel, Berlin [HGB] (A) (02)
Steffen Bauer, Karlsruhe [SB2] (A) (20, 22)
Dr. Günther Beikert, Viernheim [GB1] (A) (04, 10, 25)
Prof. Dr. Hans Berckhemer, Frankfurt [HB1] (A, B) (29)
Dr. Werner Biberacher, Garching [WB] (B) (20)
Prof. Tamás S. Biró, Budapest [TB2] (A) (15)
Prof. Dr. Helmut Bokemeyer, Darmstadt [HB2] (A, B) (18)
Dr. Ulf Borgeest, Hamburg [UB2] (A) (Essay Quasars)
Dr. Thomas Bührke, Leimen [TB] (A) (32)
Jochen Büttner, Berlin [JB] (A) (02)
Dr. Matthias Delbrück, Dossenheim [MD] (A) (12, 24, 29)
Karl Eberl, Stuttgart [KE] (A) (Essay Molecular Beam Epitaxy)
Dr. Dietrich Einzel, Garching [DE] (A) (20)
Dr. Wolfgang Eisenberg, Leipzig [WE] (A) (15)
Dr. Frank Eisenhaber, Vienna [FE] (A) (27)
Dr. Roger Erb, Kassel [RE1] (A) (33 essay Optical phenomena in the atmosphere)
Dr. Christian Eurich, Bremen [CE] (A) (Essay Neural Networks)
Dr. Angelika Fallert-Müller, Groß-Zimmer [AFM] (A) (16, 26)
Stephan Fichtner, Heidelberg [SF] (A) (31)
Dr. Thomas Filk, Freiburg [TF3] (A) (10, 15 essay percolation theory)
Natalie Fischer, Walldorf [NF] (A) (32)
Dr. Harald Fuchs, Münster [HF] (A) (Essay scanning probe microscopy)
Dr. Thomas Fuhrmann, Mannheim [TF1] (A) (14)
Christian Fulda, Hanover [CF] (A) (07)
Dr. Harald Genz, Darmstadt [HG1] (A) (18)
Michael Gerding, Kühlungsborn [MG2] (A) (13)
Prof. Dr. Gerd Graßhoff, Bern [GG] (A) (02)
Andrea Greiner, Heidelberg [AG1] (A) (06)
Uwe Grigoleit, Weinheim [UG] (A) (13)
Prof. Dr. Michael Grodzicki, Salzburg [MG1] (B) (01, 16)
Gunther Hadwich, Munich [GH] (A) (20)
Dr. Andreas Heilmann, Halle [AH1] (A) (20, 21)
Carsten Heinisch, Kaiserslautern [CH] (A) (03)
Dr. Christoph Heinze, Hamburg [CH3] (A) (29)
Dr. Marc Hemberger, Heidelberg [MH2] (A) (19)
Florian Herold, Munich [FH] (A) (20)
Dr. Hermann Hinsch, Heidelberg [HH2] (A) (22)
Priv.-Doz. Dr. Dieter Hoffmann, Berlin [DH2] (A, B) (02)
Dr. Georg Hoffmann, Gif-sur-Yvette, FR [GH1] (A) (29)
Dr. Gert Jacobi, Hamburg [GJ] (B) (09)
Renate Jerecic, Heidelberg [RJ] (A) (28)
Dr. Catherine Journet, Stuttgart [CJ] (A) (Essay nanotubes)
Prof. Dr. Josef Kallrath, Ludwigshafen, [JK] (A) (04 Essay Numerical Methods in Physics)
Priv.-Doz. Dr. Claus Kiefer, Freiburg [CK] (A) (14, 15 Essay Quantum Gravity)
Richard Kilian, Wiesbaden [RK3] (22)
Dr. Ulrich Kilian, Heidelberg [UK] (A) (19)
Dr. Uwe Klemradt, Munich [UK1] (A) (20, essay phase transitions and critical phenomena)
Dr. Achim Knoll, Karlsruhe [AK1] (A) (20)
Dr. Alexei Kojevnikov, College Park, USA [AK3] (A) (02)
Dr. Berndt Koslowski, Ulm [BK] (A) (Essay Surface and Interface Physics)
Dr. Bernd Krause, Munich [BK1] (A) (19)
Dr. Jens Kreisel, Grenoble [JK2] (A) (20)
Dr. Gero Kube, Mainz [GK] (A) (18)
Ralph Kühnle, Heidelberg [RK1] (A) (05)
Volker Lauff, Magdeburg [VL] (A) (04)
Priv.-Doz. Dr. Axel Lorke, Munich [AL] (A) (20)
Dr. Andreas Markwitz, Lower Hutt, NZ [AM1] (A) (21)
Holger Mathiszik, Celle [HM3] (A) (29)
Dr. Dirk Metzger, Mannheim [DM] (A) (07)
Prof. Dr. Karl von Meyenn, Munich [KVM] (A) (02)
Dr. Rudi Michalak, Augsburg [RM1] (A) (23)
Helmut Milde, Dresden [HM1] (A) (09)
Günter Milde, Dresden [GM1] (A) (12)
Marita Milde, Dresden [MM2] (A) (12)
Dr. Andreas Müller, Kiel [AM2] (A) (33)
Dr. Nikolaus Nestle, Leipzig [NN] (A, B) (05, 20 essays molecular beam epitaxy, surface and interface physics and scanning probe microscopy)
Dr. Thomas Otto, Geneva [TO] (A) (06)
Dr. Ulrich Parlitz, Göttingen [UP1] (A) (11)
Christof Pflumm, Karlsruhe [CP] (A) (06, 08)
Dr. Oliver Probst, Monterrey, Mexico [OP] (A) (30)
Dr. Roland Andreas Puntigam, Munich [RAP] (A) (14)
Dr. Andrea Quintel, Stuttgart [AQ] (A) (Essay nanotubes)
Dr. Gunnar Radons, Mannheim [GR1] (A) (01, 02, 32)
Dr. Max Rauner, Weinheim [MR3] (A) (15 Essay Quantum Informatics)
Robert Raussendorf, Munich [RR1] (A) (19)
Ingrid Reiser, Manhattan, USA [IR] (A) (16)
Dr. Uwe Renner, Leipzig [UR] (A) (10)
Dr. Ursula Resch-Esser, Berlin [URE] (A) (21)
Dr. Peter Oliver Roll, Ingelheim [OR1] (A, B) (15 essay quantum mechanics and its interpretations)
Prof. Dr. Siegmar Roth, Stuttgart [SR] (A) (Essay Nanotubes)
Hans-Jörg Rutsch, Walldorf [HJR] (A) (29)
Dr. Margit Sarstedt, Leuven, B [MS2] (A) (25)
Rolf Sauermost, Waldkirch [RS1] (A) (02)
Matthias Schemmel, Berlin [MS4] (A) (02)
Michael Schmid, Stuttgart [MS5] (A) (Essay nanotubes)
Dr. Martin Schön, Constance [MS] (A) (14)
Jörg Schuler, Taunusstein [JS1] (A) (06, 08)
Dr. Joachim Schüller, Dossenheim [JS2] (A) (10)
Richard Schwalbach, Mainz [RS2] (A) (17)
Prof. Dr. Paul Steinhardt, Princeton, USA [PS] (A) (Essay quasicrystals and quasi-unit cells)
Prof. Dr. Klaus Stierstadt, Munich [KS] (B)
Dr. Siegmund Stintzing, Munich [SS1] (A) (22)
Cornelius Suchy, Brussels [CS2] (A) (20)
Dr. Volker Theileis, Munich [VT] (A) (20)
Prof. Dr. Gerald 't Hooft, Utrecht, NL [GT2] (A) (essay renormalization)
Dr. Annette Vogt, Berlin [AV] (A) (02)
Dr. Thomas Volkmann, Cologne [TV] (A) (20)
Rolf vom Stein, Cologne [RVS] (A) (29)
Patrick Voss-de Haan, Mainz [PVDH] (A) (17)
Dr. Thomas Wagner, Heidelberg [TW2] (A) (29)
Dr. Hildegard Wasmuth-Fries, Ludwigshafen [HWF] (A) (26)
Manfred Weber, Frankfurt [MW1] (A) (28)
Priv.-Doz. Dr. Burghard Weiss, Lübeck [BW2] (A) (02)
Prof. Dr. Klaus Winter, Berlin [KW] (A) (essay neutrino physics)
Dr. Achim Wixforth, Munich [AW1] (A) (20)
Dr. Steffen Wolf, Berkeley, USA [SW] (A) (16)
Priv.-Doz. Dr. Jochen Wosnitza, Karlsruhe [JW] (A) (23 essay organic superconductors)
Priv.-Doz. Dr. Jörg Zegenhagen, Stuttgart [JZ3] (A) (21 essay surface reconstructions)
Dr. Kai Zuber, Dortmund [KZ] (A) (19)
Dr. Werner Zwerger, Munich [WZ] (A) (20)

Dr. Ulrich Kilian (responsible)
Christine Weber

Priv.-Doz. Dr. Dieter Hoffmann, Berlin

The author's abbreviation is in square brackets, the number in round brackets is the subject area number, a list of subject areas can be found in the foreword.

Prof. Dr. Klaus Andres, Garching [KA] (A) (10)
Markus Aspelmeyer, Munich [MA1] (A) (20)
Dr. Katja Bammel, Cagliari, I [KB2] (A) (13)
Doz. Hans-Georg Bartel, Berlin [HGB] (A) (02)
Steffen Bauer, Karlsruhe [SB2] (A) (20, 22)
Dr. Günther Beikert, Viernheim [GB1] (A) (04, 10, 25)
Prof. Dr. Hans Berckhemer, Frankfurt [HB1] (A, B) (29 Essay Seismology)
Dr. Werner Biberacher, Garching [WB] (B) (20)
Prof. Tamás S. Biró, Budapest [TB2] (A) (15)
Prof. Dr. Helmut Bokemeyer, Darmstadt [HB2] (A, B) (18)
Dr. Thomas Bührke, Leimen [TB] (A) (32)
Jochen Büttner, Berlin [JB] (A) (02)
Dr. Matthias Delbrück, Dossenheim [MD] (A) (12, 24, 29)
Prof. Dr. Martin Dressel, Stuttgart (A) (essay spin density waves)
Dr. Michael Eckert, Munich [ME] (A) (02)
Dr. Dietrich Einzel, Garching (A) (essay superconductivity and superfluidity)
Dr. Wolfgang Eisenberg, Leipzig [WE] (A) (15)
Dr. Frank Eisenhaber, Vienna [FE] (A) (27)
Dr. Roger Erb, Kassel [RE1] (A) (33)
Dr. Angelika Fallert-Müller, Groß-Zimmer [AFM] (A) (16, 26)
Stephan Fichtner, Heidelberg [SF] (A) (31)
Dr. Thomas Filk, Freiburg [TF3] (A) (10, 15)
Natalie Fischer, Walldorf [NF] (A) (32)
Dr. Thomas Fuhrmann, Mannheim [TF1] (A) (14)
Christian Fulda, Hanover [CF] (A) (07)
Frank Gabler, Frankfurt [FG1] (A) (22)
Dr. Harald Genz, Darmstadt [HG1] (A) (18)
Prof. Dr. Henning Genz, Karlsruhe [HG2] (A) (Essays Symmetry and Vacuum)
Dr. Michael Gerding, Potsdam [MG2] (A) (13)
Andrea Greiner, Heidelberg [AG1] (A) (06)
Uwe Grigoleit, Weinheim [UG] (A) (13)
Gunther Hadwich, Munich [GH] (A) (20)
Dr. Andreas Heilmann, Halle [AH1] (A) (20, 21)
Carsten Heinisch, Kaiserslautern [CH] (A) (03)
Dr. Marc Hemberger, Heidelberg [MH2] (A) (19)
Dr. Sascha Hilgenfeldt, Cambridge, USA (A) (essay sonoluminescence)
Dr. Hermann Hinsch, Heidelberg [HH2] (A) (22)
Priv.-Doz. Dr. Dieter Hoffmann, Berlin [DH2] (A, B) (02)
Dr. Gert Jacobi, Hamburg [GJ] (B) (09)
Renate Jerecic, Heidelberg [RJ] (A) (28)
Prof. Dr. Josef Kallrath, Ludwigshafen [JK] (A) (04)
Priv.-Doz. Dr. Claus Kiefer, Freiburg [CK] (A) (14, 15)
Richard Kilian, Wiesbaden [RK3] (22)
Dr. Ulrich Kilian, Heidelberg [UK] (A) (19)
Thomas Kluge, Jülich [TK] (A) (20)
Dr. Achim Knoll, Karlsruhe [AK1] (A) (20)
Dr. Alexei Kojevnikov, College Park, USA [AK3] (A) (02)
Dr. Bernd Krause, Munich [BK1] (A) (19)
Dr. Gero Kube, Mainz [GK] (A) (18)
Ralph Kühnle, Heidelberg [RK1] (A) (05)
Volker Lauff, Magdeburg [VL] (A) (04)
Dr. Anton Lerf, Garching [AL1] (A) (23)
Dr. Detlef Lohse, Twente, NL (A) (essay sonoluminescence)
Priv.-Doz. Dr. Axel Lorke, Munich [AL] (A) (20)
Prof. Dr. Jan Louis, Halle (A) (essay string theory)
Dr. Andreas Markwitz, Lower Hutt, NZ [AM1] (A) (21)
Holger Mathiszik, Celle [HM3] (A) (29)
Dr. Dirk Metzger, Mannheim [DM] (A) (07)
Dr. Rudi Michalak, Dresden [RM1] (A) (23 essay low temperature physics)
Günter Milde, Dresden [GM1] (A) (12)
Helmut Milde, Dresden [HM1] (A) (09)
Marita Milde, Dresden [MM2] (A) (12)
Prof. Dr. Andreas Müller, Trier [AM2] (A) (33)
Prof. Dr. Karl Otto Münnich, Heidelberg (A) (Essay Environmental Physics)
Dr. Nikolaus Nestle, Leipzig [NN] (A, B) (05, 20)
Dr. Thomas Otto, Geneva [TO] (A) (06)
Priv.-Doz. Dr. Ulrich Parlitz, Göttingen [UP1] (A) (11)
Christof Pflumm, Karlsruhe [CP] (A) (06, 08)
Dr. Oliver Probst, Monterrey, Mexico [OP] (A) (30)
Dr. Roland Andreas Puntigam, Munich [RAP] (A) (14)
Dr. Gunnar Radons, Mannheim [GR1] (A) (01, 02, 32)
Dr. Max Rauner, Weinheim [MR3] (A) (15)
Robert Raussendorf, Munich [RR1] (A) (19)
Ingrid Reiser, Manhattan, USA [IR] (A) (16)
Dr. Uwe Renner, Leipzig [UR] (A) (10)
Dr. Ursula Resch-Esser, Berlin [URE] (A) (21)
Dr. Peter Oliver Roll, Ingelheim [OR1] (A, B) (15)
Hans-Jörg Rutsch, Walldorf [HJR] (A) (29)
Rolf Sauermost, Waldkirch [RS1] (A) (02)
Matthias Schemmel, Berlin [MS4] (A) (02)
Prof. Dr. Erhard Scholz, Wuppertal [ES] (A) (02)
Dr. Martin Schön, Konstanz [MS] (A) (14 essay special theory of relativity)
Dr. Erwin Schuberth, Garching [ES4] (A) (23)
Jörg Schuler, Taunusstein [JS1] (A) (06, 08)
Dr. Joachim Schüller, Dossenheim [JS2] (A) (10)
Richard Schwalbach, Mainz [RS2] (A) (17)
Prof. Dr. Klaus Stierstadt, Munich [KS] (B)
Dr. Siegmund Stintzing, Munich [SS1] (A) (22)
Dr. Berthold Suchan, Giessen [BS] (A) (Essay Philosophy of Science)
Cornelius Suchy, Brussels [CS2] (A) (20)
Dr. Volker Theileis, Munich [VT] (A) (20)
Prof. Dr. Stefan Theisen, Munich (A) (essay string theory)
Dr. Annette Vogt, Berlin [AV] (A) (02)
Dr. Thomas Volkmann, Cologne [TV] (A) (20)
Rolf vom Stein, Cologne [RVS] (A) (29)
Dr. Patrick Voss-de Haan, Mainz [PVDH] (A) (17)
Dr. Thomas Wagner, Heidelberg [TW2] (A) (29)
Manfred Weber, Frankfurt [MW1] (A) (28)
Dr. Martin Werner, Hamburg [MW] (A) (29)
Dr. Achim Wixforth, Munich [AW1] (A) (20)
Dr. Steffen Wolf, Berkeley, USA [SW] (A) (16)
Dr. Stefan L. Wolff, Munich [SW1] (A) (02)
Priv.-Doz. Dr. Jochen Wosnitza, Karlsruhe [JW] (A) (23)
Dr. Kai Zuber, Dortmund [KZ] (A) (19)
Dr. Werner Zwerger, Munich [WZ] (A) (20)

Articles on the topic

Load.

Definition:

a) To calculate the number of particles (= number of particles = N), the following formula applies:
N = n * NA.
E.g.:
(I) How many particles of hydrogen are there in 1 mol of hydrogen?
N (H) = n (H) • NA. = 1 mol • 6.022 • 1023 1 / mol = 6.022 • 1023

(II) How many particles of carbon are there in 2 mol of coal?
N (C) = n (C) • N A. = 2 mol • 6.022 • 1023 1 / mol = 12.044 • 1023