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:

    [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 (1838–1918)

    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)

    But the surface of the Earth was meant for man. He wasn’t meant to live in a hole in the ground.
    Edward L. Bernds (b. 1911)

    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)

    While the State becomes inflated and hypertrophied in order to obtain a firm enough grip upon individuals, but without succeeding, the latter, without mutual relationships, tumble over one another like so many liquid molecules, encountering no central energy to retain, fix and organize them.
    Emile Durkheim (1858–1917)

    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 (1817–1862)

    It has often been a solid Grief to me, when I have reflected on this glorious Nation, which is the Scene of publick Happiness and Liberty, that there are still Crowds of private Tyrants, against whom there neither is any Law now in Being, nor can there be invented any by the Wit of Man. These cruel Men are ill-natured husbands.
    Richard Steele (1672–1729)