Citation: Luo Meng-Bo, Chen Ying-Cai, Huang Jian-Hua, Xu Jian-Min. Monte Carlo Study on Polymer Chain with One End Attached to a Surface[J]. Acta Physico-Chimica Sinica, ;2001, 17(05): 422-426. doi: 10.3866/PKU.WHXB20010509
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The endtoend vector distribution P(R) of a linear randomflight polymer chain with one end attached to an infinite large flat surface is investigated by Monte Carlo method.The meansquare endtoend distance can be given by
=(4/3)n,and the mean angle by <θ>=45 ,where n is the chain length, θ is the angle between the endtoend vector R and Z axis normal to the surface.The radial distribution is P(R)dR=2A4 exp (-A2R2)R3 dR and the angular distribution isP(θ)dθ =sin 2θdθ ,here A2=3/(2n).The shape factor : : is about 1:2.73:12.5.The distribution of angle ,the angle between the longest principal axis L3 and Z axis,is approximately P(α)dα =sinαdα ,and its mean value <α> is nearly equal to 55.5 . -
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