Table of Contents 
Microporous and other Framework Materials with Zeolite-Type Structures 
Subvolume A: Tetrahedral Frameworks of Zeolites, Clathrates, and Related Materials 
1 
Introduction ......................................... 1

1.1 
General ..................................... 1

1.2 
Mathematical principles............................. 4

1.3 
Specificaimsof thisvolume........................... 9



2 
Mathematical description,classificationand inventionofnets................ 11

2.1 
Mathematical description............................ 11

2.2 
Inventionof (4,2)-3Dnets............................ 12

2.3 
Numberandconnectivityof knownnets..................... 13



3 
Chemical background..................................... 14

4 
Mathematicalcharacterizationofacrystalstructure..................... 15

5 
Concisehistoryofrelevantmathematics........................... 16

6 
Mathematical reference books ................................ 16

7 
Variousmathematicalconceptsand tools .......................... 17

8 
Polyhedra&relatedconcepts ................................ 19

9 
Circleandspherepacking .................................. 20

10 One-dimensionalunits .................................... 21

11. 
Two-dimensionalunits.................................... 21

12 Three-dimensionalnets: topology .............................. 21

13 Three-dimensional nets: geometry & chemical stabilityof relatedmaterials ........ 22

14 Three-dimensional nets: relation to minimal surfaces .................... 24

15 Challenges .......................................... 25

16 Compilationofunits ..................................... 26

16.1 
General description ............................... 26

16.2 
Systematicenumerationofsubunits....................... 27

16.3 
Polyhedralunits................................. 65

16.4 
2Dnets ..................................... 132

16.5 
1Dunits..................................... 180



17 References ..........................................251

18 Acknowledgements...................................... 266


