The Generation of Fullerenes
نویسندگان
چکیده
We describe an efficient new algorithm for the generation of fullerenes. Our implementation of this algorithm is more than 3.5 times faster than the previously fastest generator for fullerenes - fullgen - and the first program since fullgen to be useful for more than 100 vertices. We also note a programming error in fullgen that caused problems for 136 or more vertices. We tabulate the numbers of fullerenes and IPR fullerenes up to 400 vertices. We also check up to 316 vertices a conjecture of Barnette that cubic planar graphs with maximum face size 6 are Hamiltonian and verify that the smallest counterexample to the spiral conjecture has 380 vertices.
منابع مشابه
Application of Parametric L-Systems to Generate the Figures of Two Series of Spherical Fullerenes
In this work, two parametric L-Systems have been introduced to generate the figures of two series of nanostructures. These series consist of different spherical fullerenes with various number of carbon atoms. By specifying a parameter in each series a spherical fullerene can be determined. The members of the first series are C60 , C240 , C540 , C940 ,… which can be produced by applying paramete...
متن کاملTheoretical and Structural Relationship Study of Electrochemical Properties of p- Sulfonated Calix[Slarene Macrocycles with Fullerenes as lp-Sulfonated Calliplarenesi@iCsl Supramolecular Complexes
Up to now, various empty carbon fullerenes with different magic number "n", such as C10, Cow Cm, Cso,Cis** Cm and so on. have been obtained. The calix[n]arenes are a class of chalice-like rnacrocyclicmolecules that have attracted widespread attention as complex molecules with liquid crystal behaviors.These classes of compounds are cyclic ohgomers synthessid by condensation of a para-alkylated p...
متن کاملElectronic Properties of Hydrogen Adsorption on the Silicon- Substituted C20 Fullerenes: A Density Functional Theory Calculations
The B3LYP/6-31++G** density functional calculations were used to obtain minimum geometries and interaction energies between the molecular hydrogen and nanostructures of fullerenes, C20 (cage), C20 (bowl), C19Si (bowl, penta), C19Si (bowl, hexa). The H2 molecule is set as adsorbed in the distance of 3Å at vertical position from surface above the pentagonal and hexagonal sites of nanostructures. ...
متن کاملComputational determination of character table and symmetry of fullerenes cage as C24 and C28
Fullerene chemistry is nowadays a well-established field of both theoretical and experimental investigations. This study considers the symmetry of small fullerenes cage C24 and C28. Using PM3 program for C24 and C28 fullerenes, Oh and Td symmetry were confirmed, respectively. The mentioned algorithm to compute the automorphism group of these fullerenes with connectivity and geometry of th...
متن کاملComputational Investigation of the Efference of Different Fullerenes on Aktogen High Energy
In this research, HMX energy derivatives with different carbon-containing fullerenes in different temperature conditions were studied using density functional theory. For this purpose, the materials were first geometric optimized, then the thermodynamic parameters were calculated for all of them. Then, the process of changing the energy-dependent parameters such as specific heat capacity, entha...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Journal of chemical information and modeling
دوره 52 11 شماره
صفحات -
تاریخ انتشار 2012