I was wondering, how can you determine whether an elemtn has abody senter cube o

Question

I was wondering, how can you determine whether an elemtn has abody senter cube or face centered cube during crystalliztion??? ifthe radius and cell volume is given how can you tell whether it isBCC or FCC?? 1. Barium crystallizes in a body centered cubic lattice andhas a radius of 217 pm. What is

the density of Barium?

I was wondering, how can you determine whether an elemtn has abody senter cube or face centered cube during crystalliztion??? ifthe radius and cell volume is given how can you tell whether it isBCC or FCC?? 1. Barium crystallizes in a body centered cubic lattice andhas a radius of 217 pm. What is

the density of Barium?

Explanation / Answer

Formula:                   D = NM / NAa3 Where N = Number of atoms For BCC , N = 2       FCC , N = 4 Simple Cubic, N = 1 For FCC , r = (3 / 4 )a                 a = 1.732 x 217 x 10-12 m /4                    =  1.732x 2.17 x 10-8 cm                     = 0.94 x 10-8 cm       M for Ba = 137.327 g / mol Upon substitution,             D = 1atom * 137.327 g / 6.023 * 1023 atoms *( 0.94 * 10-8 cm)3                  =274.5 g / cm3                  =274.5 g / cm3

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