Overcrossing probabilities

The overcrossing probabilities for a molecule with at least three atoms... 

This method of shape analysis applies also to other architectures. For instance, fluctuations in hydrogen-bonding networks play a key role in understanding solution properties. 3 Geometrical descriptors have been used to study these networks, including distribution of bonds and path connectivity in space.Overcrossing probabilities have been proposed as a tool for more detailed shape characterization,... 

Similarly, we can extend the notion of overcrossing probabilities to include handedness. Consider a given 2D projection of the oriented polymer... 

Self-entanglements. The occurrence of twists, turns, and convolutions in space curves can be characterized by a number of descriptors using geometry and connectivity. These include the overcrossing probability distribution of a backbone of arbitrary architecture (and related parameters, such as the mean number of overcrossings N), the writhing number W of a curve, and the twist 9" of a ribbon model. 

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