Deconvoluting Patterson

Area of Science:

• Crystallography
• Structural Biology
• Biophysics

Background:

• The Patterson function, P(u), is a cornerstone in crystallographic data analysis.
• Its definition as the autocorrelation of electron density presents a conceptual challenge for many students.
• Understanding autocorrelation is crucial for interpreting P(u) as an interatomic distance map.

Purpose of the Study:

• To provide an accessible educational resource for understanding the Patterson function and autocorrelation.
• To simplify the visualization and comprehension of autocorrelation for students in biological and biomedical fields.

Main Methods:

• Development of a freely available animated PowerPoint slide deck.
• Utilizes 1D electron density plots and their corresponding autocorrelation to illustrate the Patterson function.
• Employs animation to intuitively explain the concept of autocorrelation.

Main Results:

• The animated presentation effectively demonstrates the relationship between electron density and its autocorrelation.
• The resulting Patterson function is presented as a readily interpretable interatomic distance map.
• The educational tool enhances intuitive grasp of autocorrelation.

Conclusions:

• This animated resource simplifies a complex crystallographic concept for a broader audience.
• It serves as a valuable tool for teaching and learning about the Patterson function and autocorrelation in structural biology.
• The intuitive approach facilitates understanding of fundamental crystallographic principles.