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1 answer:
Answer:
RoC is 0.75 (3/4); Equation is y=0.75x )
Step-by-step explanation:
You can easily spot that first column, x increases by 1 each line, while the second, y, increases by 0.75.
Rate of change is variation in y divided by the variation in x, or . Replacing with the value we found, we get that the rate of change is
or
.
To find the equation the easiest way is to go back 4 steps, at the same rate of change, in order to find what's the value for x=0. Going back by 0.75 each step starting from 4, we obtain 2.25, 1.5, 0.75, and finally 0. Our equation becomes
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Answer: Lattice parameter, a = (4R)/(√3)
Step-by-step explanation:
The typical arrangement of atoms in a unit cell of BCC is shown in the first attachment.
The second attachment shows how to obtain the value of the diagonal of the base of the unit cell.
If the diagonal of the base of the unit cell = x
(a^2) + (a^2) = (x^2)
x = a(√2)
Then, diagonal across the unit cell (a cube) makes a right angled triangle with one side of the unit cell & the diagonal on the base of the unit cell.
Let the diagonal across the cube be y
Pythagoras theorem,
(a^2) + ((a(√2))^2) = (y^2)
(a^2) + 2(a^2) = (y^2) = 3(a^2)
y = a√3
But the diagonal through the cube = 4R (evident from the image in the first attachment)
y = 4R = a√3
a = (4R)/(√3)
QED!!!
