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On their not so closed-packed surfaces [(110) FCC for instance] roughening may occur, depending on the nature of the element. 6 Special Cases of Vicinal Surfaces All the above developments apply to surfaces which at T = 0 K are flat or exhibit an isolated step. We have seen that in this case the step edge is rough at any temperature. If we now consider a vicinal surface which exhibits a periodic succession of steps and terraces (Sect. 4), the preceding result is no longer valid since the steps interact and this should be included in the theory.

0 K' . . . ,. 0000000 o .. 0. '0 .. 0 0000000 o • 0 • o 0 o 0 ({'i'1219(' . /~ o 0 0 /'/ A 0 ' . / . ° >_ ", ':, . • • 0 . ~--, ~-- • 0 0 I . • I . 0 000 0 0 c) Fig. 6a-c. Schematic diagrams of surface surstructures. The adsorbates are indicated by circles and the surface atoms by points. The unit cells of both lattices are indicated, d is the bulk lattice parameter the substrate unit cell or when the ratio of the dimensions of these cells is not an integer. For simple rotations, (x x y) RO means a surface structure which is obtained from the surface unit cell by a rotation of angle 0, the length ofthe basis vectors being multiplied by x and y.

25]. An example is given in Fig. 15 showing the change of the morphology oflead crystals as a function ofthe growth temperature. This element has a FCC structure and at low temperatures (:$ 323 K) the crystal is bound by (111), (001), (110), (112) facets. Then, for 323 K < T < 393 K the (112) facets have disappeared. Finally, above 393 K and up to the melting point the only remaining facets are (111) and (001) which, being the most closed-packed, have the highest 42 2. Thermodynamical and Statistical Properties of Clean Surfaces Fig.

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Acoustic Topography Varying with the Position of the Organ Pipe by Barus C.


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