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:
“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)
“Sin in this country has been always said to be rather calculating than impulsive.”
—Frank Moore Colby (18651925)
“I cannot but conclude the bulk of your natives to be the most pernicious race of little, odious vermin that Nature ever suffered to crawl upon the surface of the earth.”
—Jonathan Swift (16671745)
“I want you to consider this distinction as you go forward in life. Being male is not enough; being a man is a right to be earned and an honor to be cherished. I cannot tell you how to earn that right or deserve that honor. . . but I can tell you that the formation of your manhood must be a conscious act governed by the highest vision of the man you want to be.”
—Kent Nerburn (20th century)
“The very presence of guilt, let alone its tenacity, implies imbalance: Something, we suspect, is getting more of our energy than warrants, at the expense of something else, we suspect, that deserves more of our energy than were giving.”
—Melinda M. Marshall (20th century)
“While the stars that oversprinkle
All the heavens, seem to twinkle
With a crystalline delight;
Keeping time, time, time,
In a sort of Runic rhyme,
To the tintinnabulation that so musically wells
From the bells, bells, bells, bells,”
—Edgar Allan Poe (18091849)
“We have the pleasures suitable to our lot; let us not usurp those of greatness. Ours are more natural and all the more solid and sure for being humbler. Since we will not do so out of conscience, at least out of ambition let us reject ambition.”
—Michel de Montaigne (15331592)