Need help getting the calibration curve of diffractometer

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    Calibration Curve
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The discussion centers on obtaining an X-ray diffraction (XRD) pattern for silicon, with specific peak values noted at 28.5, 47.35, 56.15, 69.3, 76.4, and 88.05 degrees in the 2theta range. The user has provided a table of Miller indices (h, k, l) along with corresponding d-space values. The main challenge is constructing a calibration curve for the diffractometer, which requires calculating the correction angle. The user references Bragg's Law and the formula for d-spacing, 1/d^2 = (h^2 + k^2 + l^2)/a^2, indicating a need for the lattice parameter 'a' to proceed. They express difficulty in moving forward with the calculation and mention the International Centre for Diffraction Data as a potential resource for further information.
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I have obtained an XRD pattern for Silicon, with the peaks occurring at 28.5, 47.35, 56.15, 69.3,76.4,88.05 degrees within the 2theta range.

h k l d-space
1 1 1 3.1200
2 2 0 1.9100
3 1 1 1.6300
4 0 0 1.3500
3 3 1 1.2400
4 2 2 1.1000

these are the values from the ICDD that are given. I have to construct a calibration curve for the diffractometer, which is meant to be a graph of the 2theta value vs. the correction angle. Except I have no idea how to calculate the correction angle

I assume I have to use Bragg's Law and the lattice parameter
1/d^2 = (h^2 + k^2 + l^2)/a^2

Please help as I can only find the value of a, then don't know what too do. Please help.
 
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