Elements of A Space Group
The space groups in three dimensions are made from combinations of the 32 crystallographic point groups with the 14 Bravais lattices, each of the latter belonging to one of 7 lattice systems. This results in a space group being some combination of the translational symmetry of a unit cell including lattice centering, the point group symmetry operations of reflection, rotation and improper rotation (also called rotoinversion), and the screw axis and glide plane symmetry operations. The combination of all these symmetry operations results in a total of 230 different space groups describing all possible crystal symmetries.
Read more about this topic: Space Group
Famous quotes containing the words elements of a, elements, space and/or group:
“The popularity of that baby-faced boy, who possessed not even the elements of a good actor, was a hallucination in the public mind, and a disgrace to our theatrical history.”
—Thomas Campbell (1777–1844)
“In spite of all their kind some elements of worth
With difficulty persist here and there on earth.”
—Hugh MacDiarmid (1892–1978)
“But alas! I never could keep a promise. I do not blame myself for this weakness, because the fault must lie in my physical organization. It is likely that such a very liberal amount of space was given to the organ which enables me to make promises, that the organ which should enable me to keep them was crowded out. But I grieve not. I like no half-way things. I had rather have one faculty nobly developed than two faculties of mere ordinary capacity.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“A little group of wilful men reflecting no opinion but their own have rendered the great Government of the United States helpless and contemptible.”
—Woodrow Wilson (1856–1924)