3. The crystalline structure of silicon is a diamond lattice as shown in the lecture slides. The lattice constant of silicon is known to be 5.43 angstroms (or 0.543 nm) at room temperature. Show that the atomic density of silicon in crystalline structure at 25°C is 5x10²² atoms/cm³. (5 points) 4. Sketch the placement of Ge atoms on the surface of the wafer cut in (100) plane. Calculate the number of atoms per cm² at the surface of the wafer. If the wafer is cut in (111) plane, what will be the number of atoms per cm² at the surface of the wafer? (10 points)
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### Calculating Atomic Density of Silicon ** Show more…
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Silicon has a lattice constant of 5.43 Angstroms. Calculate (a) the distance from the center of the two nearest neighbors? (b) the volume density of silicon atoms. Determine the volume density of Au atoms. Au has a lattice constant of 0.408 nm. Find the Miller indices for the planes below. The lattice constant of a single crystal is 4.73 A. Find the surface density ((#/Cm2) of atoms on the (i) (100), (ii) (110), and (iii) (111) planes.
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The solid-state structure of silicon is shown below. (a) Describe this crystal as $\mathrm{pc}, \mathrm{bcc},$ or fcc. (b) What type of holes are occupied in the lattice? (c) How many Si atoms are there per unit cell? (d) Calculate the density of silicon in $\mathrm{g} / \mathrm{cm}^{3}$ (given that the cube edge has a length of $543.1 \mathrm{pm}$ ). (e) Estimate the radius of the silicon atom. (Note: The Si atoms on the edges do not touch one another.
The lattice constant of a single crystal is $4.73 \AA$. Calculate the surface density $\left(\# / \mathrm{cm}^{2}\right)$ of atoms on the (i) (100), (ii) (110), and (iii) (111) plane for a ( $a$ ) simple cubic, (b) body-centered cubic, and $(c)$ face-centered cubic lattice.
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