Answer to Question #90200 in Physical Chemistry for Anant sahu

Question #90200
If carbon-carbon Bond length in diamond is 1.5 angstorm then what will be the edge length of the cubic closed packed unit cell of diamond having alternate tetrahedral voids occupied?
1
Expert's answer
2019-05-27T06:09:48-0400

Given:

rcc=1.5  Angstromr_{c-c} = 1.5 { \ \ Angstrom }

Solution:

CCP cell:



From triangle ABC:



AB=rccAB= r_{c-c}AC=(AB)22AC= \sqrt{\frac{(AB)^2}{2} }

Edge length is:


L=2AC=2(AC)22=2(AC)2=2rcc2L = 2 * AC = 2 * \sqrt{\frac{(AC)^2}{2}} = \sqrt{2(AC)^2} = \sqrt{2r_{c-c}^2}

Calculating:


L=2rcc2=21.522.12 AngstromL =\sqrt{2r_{c-c}^2} = \sqrt{2*1.5^2}\approx 2.12 \ Angstrom

Answer: 2.12 Angstrom

References:

  • https://hemantmore.org/chemistry-1/c11201018/1899/

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