TWIN CRYSTALS

Last Update 19/ 9/ 2004

in English/ in Esperanto/ in Portuguese

During crystal growth matter assembles in uniform mode according to one of the seven crystal systems. This uniform mode may occur without any modified orientation, developing a periodical repetition of a structural unit in a single crystal. Suddenly for some reason part of the components may be assembled on one or more individual crystal according to an orientation modification guided by an allowed symmetry operation and naturally selected new direction according to the twin law. Meanwhile another part of the original crystal continues its growth in the initial mode. The result of this modification is observed on twin crystals composed of two or even of multiple parts, each one with its own orientation.

Any structure determination study with x-ray diffraction demands single crystal. Twin crystals are dismissed.

The chemical environment on the boundary between both twin crystals is different if compared with any of the considered adjacent crystal.

The application above represents crystals with perpendicular edges or not prependicular edges. Twin crystals appear initially on the left side of the figure or after a click on button A. On the right side a sketch of the image that would be observed in a crystallographic
microscope with crossed polariser and analyser Nicol is presented. A click on button B presents the same sample as in the previous button turned  90o counter clockwise around an axis perpendicular to the screen . A click on button C shows the model of a single crystal. An action on button D will display the same single crystal after a rotation of 90o. For didactical purposes the contents of the left side models were amplified in higher scale in comparison to the size of its crystal edges.

Eexercise

Inform yourself on twin crystals of the following minerals: quartz, gypsum, fluorite, aragonite and write a report.

Please send your comments.

Table of subjects.
Presentation
Chemistry Analytical Chromatography
Elemental organic analysis
Volumetric analysis, simulation
Crystallography 3 fold screw axis
4 fold inversion axis on tetrahedron
5 fold rotation axis absent in crystallography
Binary axis and reflection plane in stereographic projection
Bravais lattices
Conic sections under symmetry operators
Converting from spherical coordinates to stereographic projection
Crystal lattice and unit cell
Determination of unit cell
Elements of symmetry in action - animation
Elements of symmetry in action - cube game
Elements of symmetry in action - dodecahedron game
Elements of symmetry in action - icosahedron game
Elements of symmetry in action - octahedron game
Elements of symmetry in action - tetrahedron game
Ewald sphere and crystal measurements
Extinctions
Five classes in the cubic system
Five classes in the rhombohedral system
From tetrahedron to prism
Gnomonic projection
Improper symmetry axis
Miller indices
Miller indices - animation
Miller indices - cube game
Miller indices - octahedron game
Miller indices - rhombic dodecahedron game
Miller indices - tetrahedron game
Mirror plane
Orientations of the cube
Plane symmetry groups
Question on point group
Rotation axis in octahedron and Werner compounds
Rotation axis on tetrahedron and organic molecules
Rotation of the parallel and stereographic projections of the cube
Seven faces in stereographic projection
Seven classes in the hexagonal system
Seven classes in the tetragonal system
Six elements of symmetry in seven orientations
Spherical projection of the octahedron
Stereographic projection
Stereographic projection of six polyhedra in different orientations
Straight line equations and symmetry elements
Symmetry, 2 fold axis
Symmetry, 2, 3 and 6 fold axis in benzene
Symmetry, 3 fold axis in the cube
Symmetry, 4 fold axis in the cube
Symmetry, 4 fold axis in the unit cell of gold
Symmetry elements and Miller indices game
Symmetry elements and Miller indices game - octahedron
Symmetry in art and in crystallography
Three classes in the monoclinic system
Three classes in the orthorhombic system
Twin crystals
Two classes in the triclinic system
Unit cell in hexagonal net
General Butane conformations
Density
Electrochemical cell
Ethane conformations
Resources of chemical-ICT: water, health and symmetry
Solid and liquid gold