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)
“I know that the right kind of leader for the Labour Party is a kind of desiccated calculating machine.”
—Aneurin Bevan (18971960)
“Weve forgotten what its like not to be able to reach the light switch. Weve forgotten a lot of the monsters that seemed to live in our room at night. Nevertheless, those memories are still there, somewhere inside us, and can sometimes be brought to the surface by events, sights, sounds, or smells. Children, though, can never have grown-up feelings until theyve been allowed to do the growing.”
—Fred Rogers (20th century)
“Those who were skillful in Anatomy among the Ancients, concluded from the outward and inward Make of an Human Body, that it was the Work of a Being transcendently Wise and Powerful. As the World grew more enlightened in this Art, their Discoveries gave them fresh Opportunities of admiring the Conduct of Providence in the Formation of an Human Body.”
—Joseph Addison (16721719)
“Just as we are learning to value and conserve the air we breathe, the water we drink, the energy we use, we must learn to value and conserve our capacity for nurture. Otherwise, in the name of human potential we will slowly but surely erode the source of our humanity.”
—Elaine Heffner (20th century)
“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)
“Here undoubtedly lies the chief poetic energy:Min the force of imagination that pierces or exalts the solid fact, instead of floating among cloud-pictures.”
—George Eliot [Mary Ann (or Marian)