Calculate the density of atoms along [011] in molybdenum (Mo). Use only the information provided in your class Periodic Table, and express your answer in units of atoms/cm.
2.24*10^7
Thank you
Calculate the density of atoms in (011) in lithium (Li).
Express your answer in units of atoms/cm2.
To calculate the density of atoms along a specific crystallographic direction in molybdenum (Mo), we need to gather a few pieces of information. Although we don't have access to your class Periodic Table, I can guide you through the process using the general information available.
1. Determine the lattice parameter (a): The lattice parameter is the length of one side of the unit cell of the crystal structure. For Mo, the lattice structure is Body-Centered Cubic (BCC). The value for the lattice parameter "a" can be found in reference books or online sources. Let's assume it is 3.15 Å (angstroms).
2. Identify the Miller indices of the [011] direction: The [011] direction represents specific crystallographic planes in the Mo crystal lattice. The Miller indices are a set of three numbers within square brackets that indicate the direction. In this case, it is [011].
3. Determine the spacing between atoms along the [011] direction (d): The spacing between atoms in a crystal lattice can be calculated using the formula:
d = a / sqrt(h^2 + k^2 + l^2)
where h, k, and l are the Miller indices of the desired direction. Plugging in our values, we have:
d = 3.15 Å / sqrt(0^2 + 1^2 + 1^2) = 3.15 Å / sqrt(2)
4. Calculate the density of atoms: The density of atoms along a specific crystallographic direction can be determined by taking the reciprocal of the interatomic distance in that direction. The reciprocal is given by the formula:
density = 1 / d
We need to convert the units of the interatomic distance to cm to match the unit of density requested. Since 1 Å = 1 × 10^-8 cm, we have:
density = 1 / (3.15 × 10^-8 cm / sqrt(2))
Performing the calculation yields the density of atoms along the [011] direction in molybdenum (Mo) measured in atoms/cm.