Interpretation:
Thermal expansion coefficient of diamond on heating from
Concept Introduction:
Thermal expansion is given by the following formula.
Where,
Bragg’s equation is given by the following formula.
Where,
Inter planar distance can be calculated using the following formula.
Where,
Answer to Problem 15.1IA
The thermal expansion coefficient of diamond is calculated as
Explanation of Solution
Inter planar distances corresponds to the shift in reflections can be calculated using Bragg’s equation.
Given,
Given,
Diamond has a cubic unit cell so edge lengths will be same.
Therefore the edge length
Given that
That is,
Therefore,
Therefore the edge length
Given that
That is,
Therefore,
So the initial volume
And the final volume
So the change in volume
The change in temperature
Therefore the thermal expansion coefficient can be calculated by substituting these values in the following equation.
The thermal expansion coefficient of diamond is calculated as
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