Q04 calculate the number of atoms per unit area in 100 110...

Transcript

00:01 Hello everyone, let's proceed to solve this question.

00:02 Now for a body centered cube structure in the 100 plane, so the miller indices is 100, the number of atoms, number of atoms in the 100 plane is simply equal to 1 by 4 multiplied by 4 that's equal to 1 all right and the area of the plane the area of the plane is simply equal to a square now the number of atoms per unit area or the atomic density row is simply equal to the number of atoms that's 1 and divided by the area of the that's a square so let's substitute the values so we have been given the value of a that's the lattice parameter that's 2 .5 am strong and this will be equal to 2 .5 multiplied by 10 to the power minus 10 meter all right so the number of atom per unit area in 100 plane is 1 by 2 .5 multiplied by 10 to the power minus 10 whole square so the number the atomic density comes out to be 1 .6 multiplied by 10 to the power 19 atoms per meter cube sorry per meter square all right so we talked about the 100 plane now let's see for in one one zero plane all right so in one one zero plane the number of atoms the number of atoms is simply equal to one fourth multiplied by four plus one so the number of atoms is two and the area area of this plane is equal to one by root two a square all right so the number of atom per root area or the atomic density is 2 divided by root 2 a square so it comes out to be root 2 divided by a square so let's substitute the value so root 2 divided by a was 2 .5 multiplied by 10 to the power minus 10 square so the atomic density comes out to be 2 .26 multiplied by 10 to the power 19 atoms per meter square all right now finally let's see in one one one plane all right so in one one plane the number of atoms the number of atoms here is simply equal to 1 by 6 multiplied by 3 so the number of atoms is 1 by 2 and the area area of this plane is root 3 by 2 multiplied by a square.

03:35 So the atomic density is simply equal to 1 by root 3 multiplied by a square...

Question

Q#04. Calculate the number of atoms per unit area in (100), (110) and (111) planes of in bcc crystal with the lattice parameter of 2.5 angstrom.

Question

Q#04. Calculate the number of atoms per unit area in (100), (110) and (111) planes of in bcc crystal with the lattice parameter of 2.5 angstrom.

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