Surface Energy - Calculating The Surface Formation Energy of A Crystalline Solid

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)

    Because relationships are a primary source of self-esteem for girls and women, daughters need to know they will not lose our love if they speak up for what they want to tell us how they feel about things. . . . Teaching girls to make specific requests, rather than being indirect and agreeable, will help them avoid the pitfalls of having to be manipulative and calculating to get what they want.
    Jeanne Elium (20th century)

    If the man who paints only the tree, or flower, or other surface he sees before him were an artist, the king of artists would be the photographer. It is for the artist to do something beyond this: in portrait painting to put on canvas something more than the face the model wears for that one day; to paint the man, in short, as well as his features.
    James Mcneill Whistler (1834–1903)

    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 principle of avoiding the unnecessary expenditure of energy has enabled the species to survive in a world full of stimuli; but it prevents the survival of the aristocracy.
    Rebecca West (1892–1983)

    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 (1809–1849)

    As groceries in a pantry gleam and smile
    Because they are important weights
    Bought with the metal minutes of your pay,
    So do these hours stand in solid rows,
    The dowry for a use in common life.
    Karl Shapiro (b. 1913)