# Cluster model of molecules

## Description

The term "cluster model of molecules" was proposed by de Gennes. De Gennes pointed out that the key to the glass state theory is to find the spin interaction between two adjacent hard-sphere molecules (HSMs). This interaction has now been discovered as the de Gennes n = 0 cluster-interaction boson (CI-boson), which is the unit length vector making up the interface of the 2D clusters at the bottom of the potential well. All CI-boson-derived 2D cluster data are divided into seven sections: the discovery process of CI-boson, the definition of new concepts, symbols and labeling methods, the cluster-peculation transition at the Kauzmann temperature, the largest 2D cluster at the glass transition, the 20-fold symmetry of CI-boson, the 20 CI-boson interaction maps of each HSM, and closed-loop hop path for each HSM in the soft matrix. All of these are the geometric data of the n = 0 2D spin system inherent to disorder system itself.

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## Steps to reproduce

The data set follows a series of proposals in de Gennes' paper entitled "A simple picture for structural glasses"[P. G. de Gennes. C. R. Physique 3, 1263-1268 (2002)], exploring the results obtained by satisfying geometric images of de Gennes n = 0 second-order δ vectors, including cluster jumps rather than molecule; dynamic ordered structures embedded in an ideal random distribution; New spin-spin interactions only exist between two adjacent molecules; the concept of free volume is to be replaced by a new concept; and there is a soft matrix in the vacancy. It is found that the cluster-contact angle-line states of two adjacent hard spherical molecules (HSMs) in the disordered system cannot be arbitrary, and they must be controlled by the invariant vector dL from the scale transformation of the molecular clusters from small to large, so it is found that the way de Gennes n = 0 theory emerges in the glass state is a set of quenching disordered eigenvalue and eigenvalue data, and deriving a series of data for glass state and disordered systems, including the image data of vector cages. image data of cluster-interaction boson of two adjacent HSMs, data of coupled electron pair interface excited states in disordered systems, data of the percolation transition of clusters at the Kauzmann temperature. and data that updates the free volume to soliton.

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## Funding

Donghua University