14 bravais lattices and screw axes - دانشگاه کاشان · 14 bravais lattices and screw...
TRANSCRIPT
![Page 1: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/1.jpg)
14 bravais lattices and Screw axes
![Page 2: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/2.jpg)
Point and Space Groups
• 7 crystal systems
• 14 Bravais lattices
• 230 non-Bravais lattices
![Page 3: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/3.jpg)
• 32 point symmetries
– 2 triclinic
– 3 monoclinic
– 3 orthorhombic
– 7 tetragonal
– 5 cubic
– 5 trigonal
– 7 hexagonal
Space Groups
![Page 4: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/4.jpg)
Combining translations and point groups
Plane Group Symmetry
![Page 5: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/5.jpg)
p211
Plane Group Symmetry
![Page 6: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/6.jpg)
17-plane groups
When the three symmetry elements, mirrors, rotation axis and glide planes are shown on the five nets, 17-plane groups are derived.
![Page 7: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/7.jpg)
17-plane groups
![Page 8: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/8.jpg)
17-plane groups
![Page 9: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/9.jpg)
17-plane groups
![Page 10: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/10.jpg)
17-plane groups
![Page 11: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/11.jpg)
17-plane groups
![Page 12: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/12.jpg)
17-plane groups
![Page 13: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/13.jpg)
17-plane groups
![Page 14: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/14.jpg)
17-plane groups
![Page 15: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/15.jpg)
17-plane groups
t
1
![Page 16: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/16.jpg)
17-plane groups
t
2
t
1
![Page 17: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/17.jpg)
17-plane groups
t
2
t
1
![Page 18: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/18.jpg)
17-plane groups
t
2
t
1
![Page 19: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/19.jpg)
17-plane groups
t
2
t
1
![Page 20: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/20.jpg)
17-plane groups
t
2
t
1
![Page 21: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/21.jpg)
17-plane groups
t
2
t
1
![Page 22: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/22.jpg)
17-plane groups
t
2
t
1
![Page 23: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/23.jpg)
17-plane groups
![Page 24: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/24.jpg)
![Page 25: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/25.jpg)
![Page 26: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/26.jpg)
![Page 27: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/27.jpg)
![Page 28: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/28.jpg)
![Page 29: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/29.jpg)
Symmetry 2 (00z)
![Page 30: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/30.jpg)
Symmetry 2(.5 .5 z)
![Page 31: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/31.jpg)
نقاط توپر الیه اول، نقاط تو خالی الیه دوم
تقارنهای صفحه ای و نقطه ای
Symmetry 2
![Page 32: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/32.jpg)
Monoclinic
![Page 33: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/33.jpg)
(00z) R (.5 .5 z) R
![Page 34: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/34.jpg)
Symmetry 222
(.5 .5 z) R
![Page 35: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/35.jpg)
222 symmetry in Diamond
![Page 36: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/36.jpg)
222 symmetry in Diamond
![Page 37: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/37.jpg)
Crystal Structure 37
ORTHORHOMBIC SYSTEM
Orthorhombic (Simple) a = ß = g = 90o
a b c
Orthorhombic (Base-centred)
a = ß = g = 90o
a b c
Orthorhombic (BC) a = ß = g = 90o
a b c
Orthorhombic (FC) a = ß = g = 90o
a b c
![Page 38: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/38.jpg)
Symmetry 4
![Page 39: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/39.jpg)
Symmetry 4
![Page 40: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/40.jpg)
Crystal Structure 40
– TETRAGONAL SYSTEM
Tetragonal (P) a = ß = g = 90o
a = b c
Tetragonal (BC) a = ß = g = 90o
a = b c
![Page 41: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/41.jpg)
Symmetry 3
![Page 42: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/42.jpg)
Symmetry 3
![Page 43: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/43.jpg)
![Page 44: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/44.jpg)
![Page 45: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/45.jpg)
Symmetry 6
![Page 46: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/46.jpg)
![Page 47: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/47.jpg)
![Page 48: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/48.jpg)
![Page 49: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/49.jpg)
![Page 50: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/50.jpg)
![Page 51: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/51.jpg)
Crystal Structure 51
1-CUBIC
![Page 52: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/52.jpg)
Crystal Structure 52
a- Simple Cubic (SC)
![Page 53: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/53.jpg)
![Page 54: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/54.jpg)
Crystal Structure 54
Face Centered Cubic (FCC)
اتم در سلول واحدش وجود دارد 4•
•(Cu,Ni,Pb..etc) ساختارfcc. دارند
![Page 55: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/55.jpg)
Crystal Structure 55
3 - Face Centered Cubıc
Atoms are all same.
![Page 56: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/56.jpg)
Crystal Structure 56
2 - HEXAGONAL SYSTEM
دارد وجود واحدش سلول در اتم سه.
![Page 57: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/57.jpg)
Crystal Structure 57
2 - HEXAGONAL SYSTEM
Atoms are all same.
![Page 58: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/58.jpg)
Crystal Structure 58
![Page 59: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/59.jpg)
![Page 60: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/60.jpg)
![Page 61: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/61.jpg)
![Page 62: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/62.jpg)
![Page 63: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/63.jpg)
![Page 64: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/64.jpg)
![Page 65: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/65.jpg)
![Page 66: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/66.jpg)
![Page 67: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/67.jpg)
a
b
c
P Monoclinic
a= g =90 o b a b c
a
b
c
I = C a
b
P Triclinic a b g a b c
c
c
a P
Orthorhombic a= b = g =90 o a b c
C F I b
![Page 68: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/68.jpg)
![Page 69: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/69.jpg)
![Page 70: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/70.jpg)
![Page 71: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/71.jpg)
![Page 72: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/72.jpg)
![Page 73: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/73.jpg)
![Page 74: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/74.jpg)
3-D Symmetry
![Page 75: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/75.jpg)
3-D Symmetry
![Page 76: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/76.jpg)
3-D Symmetry
![Page 77: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/77.jpg)
Contrasting glide and screw
![Page 78: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/78.jpg)
![Page 79: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/79.jpg)
screw axes
![Page 80: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/80.jpg)
screw axes
![Page 81: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/81.jpg)
![Page 82: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/82.jpg)
![Page 83: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/83.jpg)
![Page 84: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/84.jpg)
![Page 85: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/85.jpg)
![Page 86: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/86.jpg)
monoclinic
![Page 87: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/87.jpg)
Orthorhombic
![Page 89: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/89.jpg)
89
Symbols for Symmetry Elements (2)
International Tables for Crystallography, Volume A, Table 1.4.5, p. 9 (2002)
![Page 90: 14 bravais lattices and Screw axes - دانشگاه کاشان · 14 bravais lattices and Screw axes . Point and Space Groups •7 crystal systems •14 Bravais lattices •230 non-Bravais](https://reader030.vdocument.in/reader030/viewer/2022040617/5f214f8c076d1127870a0120/html5/thumbnails/90.jpg)
90
Symbols for Symmetry Elements (3)
International Tables for Crystallography, Volume A, Table 1.4.2, p. 7 (2002)