Question

Which mathematical method is used in X-ray crystallography?

• A. Fourier Transformation
• B. Partial Differentiation
• C. Geiger Method
• D. Permutation

Hint:

In X-ray crystallography, Fourier Transform is used to convert the diffraction data into an electron density map, which is crucial for determining the structure of the crystal.

Answer 1

The Correct Option is A

X-ray crystallography is a technique used to determine the atomic and molecular structure of a crystal. The basic principle involves the diffraction of X-rays by the crystal lattice, and the resulting diffraction pattern is analyzed to extract information about the structure of the crystal.
The mathematical method most commonly used in X-ray crystallography is Fourier Transformation. This technique is used to convert the diffraction data, which is in the form of intensity vs. angle, into an electron density map. The electron density map provides the information about the positions of atoms within the crystal.
The Fourier transform is applied to the observed diffraction pattern, and the result is a 3D map of electron density, which can then be interpreted to determine the arrangement of atoms in the crystal. This method is fundamental to solving crystallographic problems.
Hence, the correct answer is: Fourier Transformation.