A Comparison of Force-Field models for Nanotube Mechanics

                                                                                               

John Karspeck-Colorado State University

Sound and Vibration REU

Funded by the Army Research Office and the National Science Foundation

                       

                                                           

 

C24: Carbon molecule with Hydrogen bonded ends

 

BN24: Born Nitride molecule with Hydrogen bonded ends

An energy profile for Cerius2. The lowest Energy point is taken to be the value of Poisson’s Ratio.

Ab initio software is often used to find the properties of inorganic nanotubes. Ab initio uses quantum mechanics to calculate the energy of the structure. While the most accurate, ab initio calculations are very time consuming.

 

In order to enable faster calculations molecular mechanics software can be used. Molecular mechanics calculates the structures energy by measuring the bond stretch, bend, torsion. These energies are then summed into what is called a Force-Field; this is the relative energy of the structure. The problem with molecular mechanics is the calculations depend on bond information and other parameters. The model often has to be adjusted in order obtain accurate calculations.

 

This summer’s research included finding Young’s Modulus, Poisson’s Ratio, and the effective thickness of small Carbon and Boron Nitride molecules. These were found using several molecular mechanics packages: Allinger’s mm2, Cerius2, and apt. The properties obtained from these calculations were compared to the ab initio calculations. This will assist in determining what adjustments must be made to the Force-Field in order to run larger sheets.

 

 

Results For C24:

 

Poisson's Ratio

Thickness (m)

Young's Modulus (Pa)

ab initio

0.16

9.1801E-11

6.4057E+12

Cerius2

0.14

8.6161E-11

1.0566E+13

apt

0.17

1.099811E-10

4.1782E+12

mm2

0.29

8.81661E-11

7.60266E+12

 

Collaborators:

Dr. Paul Heyliger

Dr. Anthony Rappé

Mr. Fernando Ramirez