Calculating the Density of a BCC Crystal with Ta Substitution

In summary, we replaced 7.5 atomic percent of chromium atoms in a BCC crystal with tantalum and used X-ray diffraction to find the lattice parameter of 0.29158 nm. To find the density, we need to calculate the number of atoms in the cell and the mass per unit atom, taking into account the 7.5% replacement of chromium with tantalum. Once calculated, we can use the formula for density (mass/volume) to determine the final result.
  • #1
2slowtogofast
135
1
how would i start this solution off?

we replace 7.5 atomic % of the chromium atoms in its BCC crystal with tantalum. X ray diffraction shows that the lattice parameter is 0.29158 nm find the density.
 
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  • #2
Well the crystal is bcc, and one is given the length of the side of the cube.

Density is simply mass divided by volume.


The mass is simply the number of atoms in the cell times the mass per unit atom (think amu, which can be converted into grams.). Also, since 7.5% of the Cr atoms are replaced with Ta atoms, simply adjust the atomic mass by the proportions of each element.
 
  • #3
thank you I am going to try and work it out now the 7.5% Ta was confusing me but i think i get it now
 

1. What is the formula for calculating density of a BCC crystal with Ta substitution?

The formula for calculating density of a BCC crystal with Ta substitution is: Density = (Molar Mass x Substitution Percentage) / (Volume of Unit Cell x Avogadro's Number).

2. How do you determine the molar mass of the BCC crystal with Ta substitution?

The molar mass of the BCC crystal with Ta substitution can be determined by adding the molar masses of each individual element present in the crystal, taking into account the substitution percentage of Ta.

3. What is the substitution percentage and how does it affect the density calculation?

The substitution percentage refers to the amount of Ta that has replaced the original element in the BCC crystal. It affects the density calculation as it changes the molar mass of the crystal and therefore impacts the overall density calculation.

4. How do you calculate the volume of the unit cell in a BCC crystal?

The volume of the unit cell in a BCC crystal can be calculated by using the formula: Volume = (4 x Radius of Atom)^3.

5. Can the density of a BCC crystal with Ta substitution be affected by external factors?

Yes, the density of a BCC crystal with Ta substitution can be affected by external factors such as temperature and pressure. As these factors change, they can alter the volume of the unit cell and therefore impact the overall density calculation.

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