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The shape of unperturbed polymer chains was studied using the Monte Carlo technique on a tetrahedral lattice.The asphericity A, the ratios/and/ were calculated for different values of polymer chain length n,conformational energy ε (ε≥0) and temperature T. The asphericity A decreases with the increase of chain length and tends toreach its limiting value rapidly with the decrease of γ(γ=ε/k_BT). For large n, A is about 0.525±0.005, the ratios/ and/ are about 2.7 and 12.0, respectively, and are almost independent of γ, but for short chains, theydepend on γ.
The shape of unperturbed polymer chains was studied using the Monte Carlo technique on a tetrahedral lattice. The asphericity A, the ratios / and / were calculated for different values of the polymer chain length n, conformational energy ε (ε ≧ 0) and temperature T. The asphericity A decreases with the increase of chain length and tends to ease its limiting value rapidly with the decrease of γ (γ = ε / k_BT). A is about 0.525 ± 0.005, the ratios / and / are about 2.7 and 12.0, respectively, and are almost independent of γ , but for short chains, theydepend on γ.