packing fraction

are u getting 0.92?????

it is a 2d picture of unit cell

7 Answers

21
tapanmast Vora ·

bad que 2-D hain kya?

24
eureka123 ·

yup.....forgot to mention that

21
tapanmast Vora ·

Wat did u take as the relation of Radius of chota sphere and the 4 bigger ones?

1
The Scorpion ·

let radius of larger circles be a

area of square = 4a2

combined area of four quarters of larger circles = Î a2

radius of smaller circle = (2√2.a - 2a)/2 = (√2-1)a

=> area of smaller circle = (3-2√2)Πa2

packing fraction = (4-2√2)Πa2/4a2 ≈ 0.92...

21
tapanmast Vora ·

radius of smaller circle = (2√2.a - 2a)/2 = (√2-1)a

kaise ??? ^^^^^^^^

1
The Scorpion ·

diagonal of square will be = 2√2.a which is equal to diameter of smaller circle + twice d radius of larger circle...

=> 2√2.a = 2r + 2(a) => r = (√2-1)a

21
tapanmast Vora ·

YA YA YA..................................

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