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, elements, space and/or group:
“The three great elements of modern civilization, gunpowder, printing, and the Protestant religion.”
—Thomas Carlyle (1795–1881)
“psychologist
It is through friendships that teenagers learn to take responsibility, provide support, and give their loyalty to non- family members. It is also in teenage friendships that young people find confidants with whom to share thoughts and feelings that they are not comfortable sharing with their parents. Such sharing becomes one of the elements of true intimacy, which will be established later.”
—David Elkind (20th century)
“There is commonly sufficient space about us. Our horizon is never quite at our elbows.”
—Henry David Thoreau (1817–1862)
“No other group in America has so had their identity socialized out of existence as have black women.... When black people are talked about the focus tends to be on black men; and when women are talked about the focus tends to be on white women.”
—bell hooks (b. c. 1955)