Final answer:
The predicted x-ray density of germanium is 6.806 g/cm³, while the actual observed density is about 6.67 g/cm³. Discrepancies between these values may be due to impurities, defects, or measurement errors, highlighting the need to refine theoretical models and measurement techniques.
Step-by-step explanation:
The predicted density of germanium can be different from its actual density due to approximations in theoretical calculations. The calculated x-ray density of germanium is about 6.806 g/cm³. This value comes from using the molar mass and the unit cell volume in density calculations. However, the observed density is approximately 6.67 g/cm³. The discrepancy between the predicted and observed values can arise due to various factors, such as impurities, defects, or measurement errors in the actual germanium sample.
Understanding the relationship between predicted and actual densities is crucial as it helps scientists and engineers correct theoretical models and ensure accurate predictions for practical applications. Moreover, density is an essential property that can reveal information about the composition, phase, and substructure of matter.