Here you will find some

Electronic Supplementary Materials to the Textbook

Introduction to Crystallography

© Springer Nature 2020

ISBN: 978-3-030-35109-0

The book was originally published in German under the title “Faszination Kristalle und Symmetrie”, 1. Auflage, Springer Spektrum, © Springer Fachmedien Wiesbaden GmbH 2016.


If you have a question about the book, if you did not understand a certain fact, then you can write me an email. I will then try to answer your questions satisfactorily and rather promptly. If you allow the content of your question(s) to be published on this website (even anonymously, if you wish), a FAQ list will be created over time, which could also help other people interested in crystallography.

Chapter 1

Crystallographic poetry, spoken, animated and accompanied by music.


Chapter 3

32 paper models of typical crystal shapes, one for each crystal class

  • Click on the respective picture to download the PDF

Crystal class 1 (triclinic-pedial)

for instance Nekoite

Crystal class -1 (triclinic-pinacoidal)

for instance Bellingerite

Crystal class 2 (monoclinic-sphenoidal)

for instance Crawfordite

Crystal class m (monoclinic-domatic)

for instance Neptunite

Crystal class 2/m (monoclinic-prismatic)

for instance Augite

Crystal class 222 (orthorhombic-disphenoidal)

for instance Austinite

Crystal class mm2 (orthorhombic-prismatic)

for instance Boracite

Crystal class mmm (orthorhombic-dipyramidal)

for instance Erythrosiderite

Crystal class 4 (tetragonal-pyramidal)

for instance Pinnoite

Crystal class -4 (tetragonal-disphenoidal)

for instance Cahnite

Crystal class 4/m (tetragonal-dipyramidal)

for instance Marialite

Crystal class 422 (tetragonal-trapezohedral)

for instance alpha-Cristobalite

Crystal class 4mm (ditetragonal-pyramidal)

for instance Fresnoite

Crystal class -42m (tetragonal-scalenohedral)

for instance Gallite

Crystal class 4/mmm (ditetragonal-dipyramidal)

for instance Anatase

Crystal class 3 (trigonal-pyramidal)

for instance Sheldrickite

Crystal class -3 (rhombohedral)

for instance Dioptase

Crystal class 32 (trigonal-trapezohedral)

for instance Cinnabar

Crystal class 3m (ditrigonal-pyramidal)

for instance Pyrargyrite

Crystal class -3m (ditrigonal-scalenohedral)

for instance Proustite

Crystal class 6 (hexagonal-pyramidal)

for instance Nepheline

Crystal class -6 (trigonal-dipyramidal)

for instance Laurelite

Crystal class 6/m (hexagonal-dipyramidal)

for instance Vanadinite

Crystal class 622 (hexagonal-trapezohedral)

for instance Parakhinite

Crystal class 6mm (dihexagonal-pyramidal)

for instance Bromellite

Crystal class -6m2 (ditrigonal-dipyramidal)

for instance Benitoite

Crystal class 6/mmm (dihexagonal-dipyramidal)

for instance Covellite

Crystal class 23 (tetartoidal)

for instance Gersdorffite

Crystal class m-3 (diploidal)

for instance Laurite

Crystal class 432 (gyroidal)

for instance Sakhaite

Crystal class -43m (hextetrahedral)

for instance Colusite

Crystal class m-3m (hexoctahedral)

for instance Almandine

Poster of Crystal Classes

  • Click on the picture to download the poster


Chapter 5

Animations of the impact of glide planes

Glide plane a


Glide plane b


Glide plane c


Glide plane n


Glide plane d


Glide plane e

Chapter 7

  • Visualization of the 21 screw axis and the glide plane n of the crystal structure of ethylene.



CIF / VESTA files

  • Crystal structure data of chemical compounds and minerals for exploring and modification of their structure and visualizing their morphology as well.
  • In this table the name of the compound, the chemical formula and the space group in which the compound crystallizes is given.


Apatite-F Ca5(PO4)3F P63/m
Azurite Cu3(OH)2(CO3)2 P21/c
Barium titanate BaTiO3 P4mm
Barium titanate BaTiO3 Pm-3m
Baryte BaSO4 Pbnm
Benzene C6H6 Pbca
Calcite CaCO3 R-3c
Chalcanthite CuSO4 ∙ 5 H2O P-1
Corundum Al2O3 R-3c
Covellite CuS P63/mmc
CuBTC Cu3(btc)2 Fm-3m
Diamond C Fd-3m
Dolomite CaMg(CO3)2 R-3
Dumortierite Al7O3(BO3)(SiO4)3 Pmcn
Epidote Ca2Al2FeSi3O12OH P21/m
Ethene C2H4 P21/n
Fluorite CaF2 Fm-3m
Galena PbS Fm-3m
Graphite C P63/mmc
Gypsum CaSO4 ∙ 2 H2O C2/c
Halite NaCl Fm-3m
Haüynite Na3Ca(Si3Al3)O12SO4 P-43n
Hemimorphite Zn4Si2O7(OH)2 ∙ H2O Imm2
Ice-Ih H2O P63cm
Ilmenite FeTiO3 R-3
Magnesite MgCO3 R-3c
Magnesium Mg P63/mmc
Magnetite Fe3O4 Fd-3m
Malachite Cu2(OH)CO3 P21/a
MOF-5 Zn4O(bdc)3 Fm-3m
Muscovite KAl2(AlSi3O10)(F,OH)2 C2/c
Nickeline NiAs P63/mmc
Olivine Mg2SiO4 Pnma
Pentagonite Ca(VO)(Si4O10) ∙ 2 H2O Ccm21
Perovskite CaTiO3 Pbnm
Pyrite FeS2 Pa-3
Quartz SiO2 P3221
Siderite FeCO3 R-3c
Sphalerite ZnS F-43m
Struvite NH4MgPO4 ∙ 6 H2O Pmn21
Talc-1A Mg3Si4O10(OH)2     C-1
Tausonite SrTiO3 Pm-3m
Tellurium Te P3121
Topaz Al2SiO4F2 Pbnm
Turquoise CuAl6(PO4)4(OH)8 ∙ 4 H2O P-1
Vivianite Fe3(PO4)2 ∙ 8 H2O C2/m
Wollastonite CaSiO3 P-1
Zeolite LTA SiO2 Pm-3m
Zeolite SOD SiO2 Im-3m