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)
“Sin in this country has been always said to be rather calculating than impulsive.”
—Frank Moore Colby (18651925)
“We tend to be so bombarded with information, and we move so quickly, that theres a tendency to treat everything on the surface level and process things quickly. This is antithetical to the kind of openness and perception you have to have to be receptive to poetry. ... poetry seems to exist in a parallel universe outside daily life in America.”
—Rita Dove (b. 1952)
“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 persons who constitute the natural aristocracy, are not found in the actual aristocracy, or, only on its edge; as the chemical energy of the spectrum is found to be greatest just outside of the spectrum.”
—Ralph Waldo Emerson (18031882)
“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)
“It is a sign of our times, conspicuous to the coarsest observer, that many intelligent and religious persons withdraw themselves from the common labors and competitions of the market and the caucus, and betake themselves to a certain solitary and critical way of living, from which no solid fruit has yet appeared to justify their separation.”
—Ralph Waldo Emerson (18031882)