MINERALOGY BASIC CONCEPTS (CRYSTALLOGRAPHY) Flashcards
Long range order or crystal structure of crystalline substances
Crystallography
What is the basic unit of pattern during crystal growth?
Coordination Polyhedra
Processes which are responsible for the repetition of these basic units into long range structure
Symmetry operation
Techniques whicah can aid in examining internal crystal structures
XRD
AFM (Atomic Force Microscopy)
Smallest unit of pattern repeated to produce a long range pattern characteristic of a crystal
Motif
What s the motif in minerals?
Coordination Polyhedra
A point which represent a motif
Node
Single symmetry Oprations
Translation
Rotation
Reflection
Inversion
Symmetry operation repeating nodes by linear displacement
Translation
Product of 1D translation
Row of similar elements
Product of 2D translation which is an array of motif or nodes in which every node has an environment similar to every other noe in the array
Plane Mesh or Plane lattice
Result 3D Translation
Space Lattice
3d array of motifs (Coordination polyhera) and product of translation in crystalline substances
Crystal lattice
Symmetry operations which repeats a motif by rotation of a pattern about an axis in which every component of the pattern is perfectly repeated one or more times during a complete 360 rotation
Rotation
This denotes the number of repetitions
“n”
A symmetry operation in which a certain pattern is repeated by reflection across a aplane called mirrior plane (m)
Reflection
What changes during reflection
Handedness. (What right in the original image will be on the left of the mirrior image )
Symmetry operation which change the handedness of motifs
Enantiomorphic operations
A symmetry of operations which involves the repetition of a motif by inversion through a center of inversion symmetry (i)
Inversion
What’s the test for inversion?
All patterns are repeated along lines that pass through a common center and are repeated at equal distance from the center
Difference between reflection and inversion
Reflection is repeate across a plane while inversion is repeated across a point of symmetry (i)
Compound symmetry operations which combines Translation and Reflection across a mirror plane
Glide Reflection (g)
An operation that combines rotation and inversion about rotoinversion axis
Rotoinversion (?)
Ten plane point groups
1, 2, 3, 4, 5
1m, 2mm, 3m, 4mm, 5mm, 6mm
Five Unit meshes created by translation
square (p, a=b, ab=90
primitive rectangle p, a/=b, ab=90
Diamond or Centered Rectangle
c, a/=b, ab = cosa/2b
Hexagonal
c, a=b, ab=120
Oblique
p, a/=b, ab/=90
How are unit mesh classisifed
Length of Vetors
Angle between 2 translation verctors
Positions of Nodes (P or C)
If the nodes of a unit mesh are all on the corners it is
Primitive
If the a node exist at the center of a unit mesh
centered
When five unit meshs is combines with 10 point groups this much plane lattice group forms
17 lattice groups
3D equivalent of 10 plane point groups which are the products of non translational symmetry operations
Space Point groups
3D equivalent of plane nets
Splace Lattices
Fundamental units of space lattices
Unit cells
Consist of 3D set of one or more crystal faces that possess similar relationships to the crystallographic axees
Crystal Forms
have the potential to completely enclose a mineral specimen and therefore to exist alone in perfectly formed euhedral crystals
Closed Crystal Forms
Crystal systems of closed crystal forms
Isometric
Tetragonal
Hexagonal
orthorhombic rhombohedral
a typical closed crystal form of pyrite
Pyritohedron
Do not have the potential to completely enclose a mineral specimen and so must occur in combination with other open or closed crystal forms
Open Crystal Forms
Consist of only a singe face
Pedians monohedron
Consist of pair of parallel face
Penacoids parallelohedron
three of more faces that paralle to an axis
Prisms
Three or more faces that intesect to an axis
Pyramid
A pair of faces symmetrical about a mirror plane (changes handedness)
Domes
A pair of faces symmetrical about an axis of rotation (donot change handedness)
Sphenoid
How to calculate axial ratios?
a/b: b/b: c/b whre b/b is always 1
Unit of axial lengths
Angstroms (A)