N=4

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie
Experimental Movie 1
Experimental Movie 2

N=5

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=6

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=7

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=8

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=9

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=10

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=11

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N=12

Spherical Code Structure
Transition Structure
Transition Movie
Longer Movie

N = 4 Transition Movie

The N = 4 cluster rearrangement action, can be described as both a rotating of two spheres relative to two other spheres, or a single sphere hopping from one side of the triangular set of spheres to the other. To perform this transition, the cluster must form a planar transition structure. The central sphere is colored silver and the outer spheres are colored blue, pink, green and yellow. There are three ways this transition can occur. This movie is generated from a simulations, where the spheres are slightly soft. In the simulation Λ = 0.4142, or the same as the hards sphere ΛT.

Illustration of N4 Transition