Structural effects of the insertion of large rings in two-dimensional networks
The structural effect of inserting large central rings into a two-dimensional network of threecoordinate nodes is investigated using a ring-growth Monte Carlo procedure. The size of the central ring is systematically varied as is the inherent level of disorder in the surrounding network (as controll...
| Glavni autori: | , , |
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| Format: | Journal article |
| Jezik: | English |
| Izdano: |
American Institute of Physics
2025
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| Sažetak: | The structural effect of inserting large central rings into a two-dimensional network of threecoordinate nodes is investigated using a ring-growth Monte Carlo procedure. The size of the central
ring is systematically varied as is the inherent level of disorder in the surrounding network (as
controlled by the Monte Carlo “temperature” and characterised by the fraction of six-membered
rings). The effect of the central ring on the overall network topology is analysed in terms of both
topological and geometric distances. For larger central rings the first topological shell becomes
exclusively populated by four- and five-membered rings which leads to an effective upper limit on
the size of central ring which can effectively be accommodated. The topological shells are found to
show ordering on significant distances away from the central ring. The effective correlation lengths
are determined as a function of both central ring size and level of network disorder, which allows
for an understanding of the potential density of large rings which may be accommodated. |
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