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Nikihi posted an Question

December 21, 2020 • 19:55 pm

30 points

IIT JAM
Physics (PH)

111 plane of bcc is just half distance of 111 plane of sc please explain this by diagram

111 plane of bcc is just half distance of 111 ... Can anyone please explain it by diagram

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Ruby negi

I plane is formed by coordinates so first make coordinate and then join them, u will get ur desired plane.
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Ruby negi

(1,1,1) plane
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can you please tell theory explaintion plz
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yeah, the plane formed by [1,0,0],[0,1,0] And [0,0,1] directions is (1,1,1). if u have to make a plane (1,1,0) that means [1,0,0],[0,1,0] n [0,0,0]
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make directions first then u will automatically get ur plane.
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I have not problem in making plane I am asking why in PCC it is half of that sort of simple cubic plane for 111
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This what other tutored provide me and when I asked why he divided denominator by 2 he gives me that answer. "look at the structure of SC structure and BCC structure you will find an extra plane in bcc at 111 position while in sc structure it doesn't exist that's why 111 plane of bcc is just half distance of 111 plane of SC therefore divide by 2 the intrer-planer spacing of SC for Bcc . And 111 plane makes a equilateral triangle therefore it's are is √3/2 a^2. draw three dimensional Cartesian coordinate make a triangle using 111 at xyz Axis u will get same area"
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so I am asking from the statement of that tutor why BCC is is half
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