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Lecture 2: Crystal Symmetry

Lecture 2: Crystal Symmetry

Lecture 2: Crystal Symmetry. Crystals are made of infinite number of unit cells. Unit cell is the smallest unit of a crystal, which, if repeated, could generate the whole crystal. .

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1.88k views • 47 slides
Line groups

Line groups

Line groups. Review To enumerate the 230 3-D space groups: pt. grps. taken in turn & extended with conforming 3-D lattice translation groups. Further, translations associated with glide planes & screw axes added by using homomorphism betwn isogonal pt. grps. & translation groups. Line groups.

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416 views • 33 slides
Algebra of operations

Algebra of operations

Algebra of operations. Thm 1: Rotation about A thru angle ? followed by translation T to axis = rotation thru same angle ? about B on bisector of AA' at T/2 cot ( ? /2) from AA'. Algebra of operations. a. a. -1. a. a. Thm 1:

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334 views • 28 slides
Algebra of operations

Algebra of operations

Algebra of operations. Thm 1: Rotation about A thru angle ? followed by translation T to axis = rotation thru same angle ? about B on bisector of AA' at T/2 cot ( ? /2) from AA'. Algebra of operations. a. a. -1. a. a. Thm 1:

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286 views • 28 slides
Triclinic:

Triclinic:

t1. t2. t1. t2. t1. t2. t1. t2. t1. t2. t2. t1. t1. t2. Triclinic:. Primitive (P). Monoclinic:. Primitive (P). End-centered (A, B, C). Orthorhombic:. Primitive (P). End-centered (A, B, C). Face-Centered (F). Body-Centered (I). Tetragonal:. Body-Centered (I). Primitive (P).

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422 views • 24 slides
Space Groups

Space Groups

Space Groups. Roya Majidi 1393. Glides: Reflection + translation Screw Axes: Rotation + translation. Screw Axis. A screw (axis) operator rotates a point/object and then moves it a fraction of the repeat distance in one go.

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Beauty, Form and Function: An Exploration of Symmetry

Beauty, Form and Function: An Exploration of Symmetry

Beauty, Form and Function: An Exploration of Symmetry. Asset No. 21. PART II Plane (2D) and Space (3D) Symmetry. Lecture II-7. Space Symmetry Operators. Objectives. By the end of this lecture, you will be able to: describe screw axes are and how they move objects

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969 views • 13 slides
Lecture 13 (11/1/2006) Crystallography Part 6: 3-D Internal Order & Symmetry Space (Bravais) Lattices Space Groups

Lecture 13 (11/1/2006) Crystallography Part 6: 3-D Internal Order & Symmetry Space (Bravais) Lattices Space Groups

Lecture 13 (11/1/2006) Crystallography Part 6: 3-D Internal Order & Symmetry Space (Bravais) Lattices Space Groups. Three-Dimensional Lattices. Translation in three directions: x , y & z axes Translation distance: a along x b along y c along z

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219 views • 8 slides
crystallography lll

crystallography lll

crystallography lll. Examples: Ccc2, P1, I 4 1 /a 2/c 2/d, F 4/m 3 2/m, P 6 3 /m 2/m 2/c. lattice centering screw axis glide plane. 230 space groups Combine 32 point groups (rotational symmetry) with a. 14 Bravais lattices (translational symmetry)

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341 views • 8 slides

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