registerrr
2023-02-15 17:43:10 +08:00
- a cubic box containing 93 Si atoms, 1 Ti atom, and 6 B atoms, with a side length of 12.43975 Angstroms, please calculate the density
- Sure, I can help you with that. To calculate the density of the box, we need to use the formula p = m/V, where p is the density, m is the mass and V is the volume1. We already know the volume of the box, which is 12.43975^3 Angstroms, or 1.927 x 10^-21 cubic meters. To find the mass of the box, we need to add up the masses of all the atoms inside it. We can use the molar masses of the elements and divide them by Avogadro’s number to get the mass of one atom. The molar masses of Si, Ti and B are 28.0855 g/mol, 47.867 g/mol and 10.811 g/mol respectively23. Therefore, the mass of one atom of Si is 4.663 x 10^-23 g, the mass of one atom of Ti is 7.948 x 10^-23 g and the mass of one atom of B is 1.794 x 10^-23 g. Multiplying these by the number of atoms in the box, we get the total mass of the box as 4.663 x 10^-23 x 93 + 7.948 x 10^-23 x 1 + 1.794 x 10^-23 x 6 = 4.494 x 10^-21 g, or 4.494 x 10^-24 kg. Finally, we can plug these values into the formula and get the density of the box as p = m/V = 4.494 x 10^-24 / 1.927 x 10^-21 = 2.332 x 10^-3 kg/m^3. I hope this helps!
(分辨不出来对不对,因为我也不会算😅)