Final answer:
To find the unit cell parameter of a cubic crystal given the d-spacing of the (011) planes, we can use the formula d = a / √(h² + k² + l²). By substituting the given values, we can solve for 'a', which is the edge length of the cubic unit cell.
Step-by-step explanation:
The d-spacing of the (011) planes of a cubic crystal is given as d = 2.89 Å. For a cubic crystal system, the interplanar spacing d can be calculated using the formula:
d = a / √(h² + k² + l²)
Where 'a' is the edge length of the cubic unit cell, and h, k, l are the Miller indices of the crystal plane. Since we are considering the (011) plane, and given that d = 2.89 Å, we have:
2.89 Å = a / √(0² + 1² + 1²)
Thus:
a = 2.89 Å * √2
Now, by solving for 'a', we get the edge length of the unit cell which represents the unit cell parameter of the crystal. Therefore, by calculating the value of 'a', we can determine the unit cell parameter for the cubic crystal in question.