Reciprocal Space
Reciprocal space (also called "k-space") is the space in which the Fourier transform of a spatial function is represented (similarly the frequency domain is the space in which the Fourier transform of a time dependent function is represented). A Fourier transform takes us from "real space" to reciprocal space or vice versa.
A reciprocal lattice is a periodic set of points in this space, and contains the points that compose the Fourier transform of a periodic spatial lattice. The Brillouin zone is a volume within this space that contain all the unique k-vectors that represent the periodicity of classical or quantum waves allowed in a periodic structure.
Read more about this topic: Reciprocal Lattice
Famous quotes containing the words reciprocal and/or space:
“Parenting is a profoundly reciprocal process: we, the shapers of our children’s lives, are also being shaped. As we struggle to be parents, we are forced to encounter ourselves; and if we are willing to look at what is happening between us and our children, we may learn how we came to be who we are.”
—Augustus Y. Napier (20th century)
“I would have broke mine eye-strings, cracked them, but
To look upon him, till the diminution
Of space had pointed him sharp as my needle;
Nay, followed him till he had melted from
The smallness of a gnat to air, and then
Have turned mine eye and wept.”
—William Shakespeare (1564–1616)