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CBSE Class 12-science Answered

Nickel crystallises in a fcc unit cell with a cell edge length of 0.3524 nm . The radius of the nickel atoms  
Asked by shalinisiddesh | 16 Jan, 2019, 08:39: AM
answered-by-expert Expert Answer
For FCC,
 
 
straight d subscript face space equals space 4 straight r subscript Ni
According to Pythagoras theorem, 
 
straight d subscript face superscript 2 space equals space straight a squared space plus space straight a squared space equals space 2 straight a squared straight d subscript face space end subscript equals space square root of 2 space straight a This space is space equal space to space four space times space the space radius space of space nickel space atom. space therefore comma 4 straight r subscript Ni space space equals space square root of 2 space straight a Solving space radius space of space straight a space nickel space atom comma we space have straight r subscript Ni space equals space fraction numerator square root of 2 space straight a over denominator 4 end fraction space equals space fraction numerator square root of 2 space left parenthesis 0.3524 right parenthesis over denominator 4 space end fraction space equals space 0.1246 space nm.
Answered by Ramandeep | 16 Jan, 2019, 11:43: AM

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