Cardboard models of crystals

1. Simplest Formula Series in Chemistry
Crystals 005 Crystal Classes
Holden Morrison
Stephen Joseph Boylan
2020

2. Simplest Formula Series in Chemistry
Crystals 005 Crystal Classes Holden and Morrison
Stephen Joseph Boylan September 2, 2020
Learning Objective: Explore different models of crystals. Highlighting point symmetry.

3. Simplest Formula Series in Chemistry
Crystals 005 Crystal Classes Holden and Morrison
References
Borchardt-Ott, Walter, Crystallography second edition, Springer-Verlag Berlin 1995
Holden. A., Morrison, P., Crystals and Crystal Growing MIT Press 1999

6. Crystal Classes
International Symbols
and
Schonflies Symbols

7. Index Crystal Classes
bar 4 3m - Td cubic
4/m - C4h tetragonal
mm2 - C2v orthorhombic
6mm - C6v hexagonal
m - Cs monoclinic
1 - Triclinic

8. Cardboard Models

9. Crystal Class Cubic
a = b = c
alpha = beta = gamma = 90 degree

10. Bar 4 3m - Td
Four 3-fold axes,
three 2-fold axes through opposite faces,
six dodecahedral planes

11. Bar 4 3m - Td card board model
...

12. Four 3-fold axes
...

13. six dodecahedral planes
...

14. three 2-fold axes through opposite faces,
...

15. The End Bar 4 3m - Td
=======================
= =
= Bar 4 3m - Td =
= =
=======================

16. Crystal Class Tetragonal
a = b ne= c
alpha = beta = gamma = 90 degree

17. Crystal Class 4/m - C4h
...

18. Crystal Class 4/m - C4h
Crystal Class = tetragonal
One 4-fold axis
One plane perpendicular to that axis

19. Cardboard cutout 4/m - C4h
...

20. Cardboard Model 4/m - C4h
...

21. Crystal Class 4/m - C4h
...

22. Crystal Class 4/m - C4h
...

23. One 4-fold axis 4/m - C4h
...

24. One 4-fold axis 4/m - C4h
...

25. One 4-fold axis 4/m - C4h
...

26. One plane perpendicular to axis
...

27. The End 4/m - C4h
=======================
= =
= 4/m - C4h =
= =
=======================

28. Crystal Class Orthorhombic
a n= b n= c
alpha = beta = gamma = 90 degree

29. Crystal Class mm2 - C2v
One 2 fold axis
Two planes containing that axis

30. Crystal Class mm2 - C2v
...

31. Crystal Class mm2 - C2v
...

32. Crystal Class mm2 - C2v
...

33. Plane containing axis
...

34. Plane containing axis
...

35. 2 fold axis
...

36. Crystal Class mm2 - C2v
...

37. The End
=======================
= =
= mm2 - C2v =
= =
=======================

38. Crystal Class Hexagonal
Sides: a equals b not equal to c
Angles: alpha = beta = 90 degree
gamma = 120 degree

39. Crystal Class 6mm - C6v
one 6 fold axis
Six planes containing that axis

40. Crystal Class 6mm - C6v
..

41. Crystal Class 6mm - C6v
..

42. Crystal Class 6mm - C6v
..

43. Crystal Class 6mm - C6v
..

44. Crystal Class 6mm - C6v
..

45. Crystal Class 6mm - C6v
..

46. Crystal Class 6mm - C6v
..

47. Crystal Class 6mm - C6v
..

48. Crystal Class 6mm - C6v
..

49. Crystal Class 6mm - C6v
..

50. Crystal Class 6mm - C6v
..

51. Crystal Class 6mm - C6v
..

52. The End
=======================
= =
= 6mm - C6v =
= =
=======================

53. Crystal Class Monoclinic
a n= b n= c
alpha = gamma = 90 degree
Beta > 90 degree

54. Crystal Class m - C2
one plane

55. m carbon cutout
.

56. Crystal Class m
.

57. Crystal Class m
.

58. Crystal Class m
...

59. Crystal Class m
...

60. Crystal Class m
...

61. The End
=======================
= =
= m - Cs =
= monoclinic =
= =
=======================

62. Crystal Class Triclinic
sides
a not equal to b not equal to c
angles
alpha not equal to beta not equal to gamma

63. Cardboard Layout 1
...

64. 1
...

65. 1
...

66. 1
...

67. 1
...

68. The End
=======================
= =
= triclinic =
= m =
= =
=======================

69. Cardboard Models

71. … … … … …
Thank you for taking the time to
watch.
Stephen Joseph Boylan
2020

72. The End

73. The End
The End