## Computations for the Excluded Volume Problem in Connection with the Conformation of Polymer MoleculesA 7090 IBM digital computer program was developed to verify certain results and contribute to the excluded volume problem. The distribution of the mean square length of all possible walks of n steps was computed for walks of up to and including sixteen steps in the two dimensional, 90 degrees, three-choice lattice. The values of u sub n, non-intersecting closed walks of n steps, were also computed and the computed values of nonintersecting walks of n steps and u sub n agree perfectly with the values given by Fisher and Sykes (Phys. Rev. 14:45-48,1959). (Author). |

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225 4 APPENDIX 7090 IBM digital calculated CALL CALL CALL changed step Chemical Physics Classification and Output closed walks compass direction control transfers current step digital computer program Dimensions of Macromolecules distribution Domb exact number EXCLUDED VOLUME PROBLEM Excluded-Volume Problem F. T. Wall Fisher and Sykes Flory FORTRAN giant steps Graduate Division IBM digital computer initial conditions integers intersecting walks Journal of Chemical lattice constants lattice point left turn linear portion main program Mean Dimensions method for determining Monte Carlo method Nl6 Nl8 non-intersecting walks number of non-intersecting number of walks plot polymer chain POLYMER MOLECULES possible walks previous step previous walk RANDOM WALK right turns samples second quadrant sixteen steps statement 400 Statistical Computation structural units three dimensional lattices three-choice transferred to statement uncoiled Unit Vector Subroutine vector sum Viscosity Walk Test Section walks for larger walks of n WALKS OF SIXTEEN Wall and Erpendick