At 300 K we see the electron concentration in the conduction band for pure (undoped) Si is 10^10/cm3. How many electrons per Si atom is this? You can use scientific notation, as in A.AAeB
Si is diamond cubic with 8 Si atoms per unit cell and a lattice parameter of 0.543 nm.
To find the number of electrons per silicon atom, we need to determine the number of silicon atoms in the unit cell.
In diamond cubic structure, there are 8 silicon atoms per unit cell. Therefore, the number of silicon atoms per unit cell is 8.
Now, let's find the volume of the unit cell:
Given the lattice parameter (a) is 0.543 nm, we can calculate the volume of the unit cell (V) using the formula:
V = a^3
V = (0.543 nm)^3
Now, we need to convert the unit of volume from nm^3 to cm^3. Since 1 nm = 10^-7 cm, we can convert the volume as follows:
V = (0.543 nm)^3 * (10^-7 cm/nm)^3
Once we have the volume of the unit cell in cm^3, we can find the electron concentration per unit volume by dividing the given electron concentration by the unit cell volume.
Electron concentration per unit volume = 10^10/cm^3
Finally, to find the number of electrons per silicon atom, we divide the electron concentration per unit volume by the number of silicon atoms per unit cell.
Number of electrons per silicon atom = Electron concentration per unit volume / Number of silicon atoms per unit cell
Using this information, we can calculate the number of electrons per silicon atom.