Calculating The Surface Formation Energy of A Crystalline Solid
In the ab initio calculations, formation energy of the crystalline solid, such as titanium (IV) oxide or magnesium oxide, can be obtained from the following equation:
where corresponds to the energy of the thin film of crystalline oxide, calculated from first principles, n stands for a number of atomic layers forming a model of the surface, while k is the number of repetitive units in a direction normal to the surface. A is the area of the primitive surface unit cell and the is the energy per atomic layer in three-dimensional system.
Read more about this topic: Surface Energy
Famous quotes containing the words calculating the, calculating, surface, formation, energy, crystalline and/or solid:
“[The] elderly and timid single gentleman in Paris ... never drove down the Champs Elysees without expecting an accident, and commonly witnessing one; or found himself in the neighborhood of an official without calculating the chances of a bomb. So long as the rates of progress held good, these bombs would double in force and number every ten years.”
—Henry Brooks Adams (18381918)
“What our children have to fear is not the cars on the highways of tomorrow but our own pleasure in calculating the most elegant parameters of their deaths.”
—J.G. (James Graham)
“All forms of beauty, like all possible phenomena, contain an element of the eternal and an element of the transitoryof the absolute and of the particular. Absolute and eternal beauty does not exist, or rather it is only an abstraction creamed from the general surface of different beauties. The particular element in each manifestation comes from the emotions: and just as we have our own particular emotions, so we have our own beauty.”
—Charles Baudelaire (18211867)
“The formation of an oppositional world view is necessary for feminist struggle. This means that the world we have most intimately known, the world in which we feel safe ... must be radically changed. Perhaps it is the knowledge that everyone must change, not just those we label enemies or oppressors, that has so far served to check our revolutionary impulses.”
—Bell (c. 1955)
“Violence among young people ... is an aspect of their desire to create. They dont know how to use their energy creatively so they do the opposite and destroy.”
—Anthony Burgess (b. 1917)
“The air was so elastic and crystalline that it had the same effect on the landscape that a glass has on a picture, to give it an ideal remoteness and perfection.”
—Henry David Thoreau (18171862)
“O God, that one might read the book of fate,
And see the revolution of the times
Make mountains level, and the continent,
Weary of solid firmness, melt itself
Into the sea.”
—William Shakespeare (15641616)