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[求助] 怎么用EIS（交流阻抗）计算锂离子扩散系数？谢谢！！！！！已有4人参与

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1楼 2016-02-27 16:25:43

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20楼: Originally posted by 丰田 at 2016-08-29 23:25:35
Hi 你好
对于阻抗计算锂离子扩散系数，有一个比较简略的方法，
用公式D = R2T2/2A2n4F4C2σ2. 所有的数字都是上标。小木虫界面上打不出上标，所以把幂指数写在对应符号后边。
在此公式中，D 是所要计算的锂 ...

你好，请问怎么得出“σ 是直线拟合 Z’~ω-1/2的斜率”不知道怎么用数据
Freq/Hz, Z'/ohm, Z"/ohm, Z/ohm, Phase/deg

8.252e+4, 3.009e+0, -2.399e-1, 3.018e+0, -4.6
6.812e+4, 3.187e+0, -4.818e-1, 3.223e+0, -8.6
5.625e+4, 3.378e+0, -6.794e-1, 3.445e+0, -11.4
4.644e+4, 3.578e+0, -8.352e-1, 3.674e+0, -13.1
3.833e+4, 3.781e+0, -9.518e-1, 3.899e+0, -14.1
3.164e+4, 3.981e+0, -1.035e+0, 4.113e+0, -14.6
2.612e+4, 4.173e+0, -1.092e+0, 4.314e+0, -14.7
2.153e+4, 4.353e+0, -1.131e+0, 4.498e+0, -14.6
1.777e+4, 4.521e+0, -1.157e+0, 4.666e+0, -14.4
1.470e+4, 4.675e+0, -1.178e+0, 4.821e+0, -14.1
1.211e+4, 4.818e+0, -1.198e+0, 4.965e+0, -14.0
1.001e+4, 4.954e+0, -1.225e+0, 5.103e+0, -13.9
8.252e+3, 5.085e+0, -1.263e+0, 5.240e+0, -13.9
6.812e+3, 5.212e+0, -1.313e+0, 5.375e+0, -14.1
5.625e+3, 5.339e+0, -1.379e+0, 5.514e+0, -14.5
4.643e+3, 5.469e+0, -1.463e+0, 5.661e+0, -15.0
3.833e+3, 5.607e+0, -1.566e+0, 5.822e+0, -15.6
3.164e+3, 5.758e+0, -1.689e+0, 6.000e+0, -16.4
2.612e+3, 5.926e+0, -1.834e+0, 6.203e+0, -17.2
2.153e+3, 6.118e+0, -1.999e+0, 6.436e+0, -18.1
1.777e+3, 6.339e+0, -2.184e+0, 6.705e+0, -19.0
1.470e+3, 6.595e+0, -2.386e+0, 7.013e+0, -19.9
1.211e+3, 6.891e+0, -2.599e+0, 7.365e+0, -20.7
1.001e+3, 7.232e+0, -2.813e+0, 7.760e+0, -21.3
8.252e+2, 7.619e+0, -3.018e+0, 8.195e+0, -21.6
6.836e+2, 8.056e+0, -3.208e+0, 8.671e+0, -21.7
5.615e+2, 8.537e+0, -3.370e+0, 9.179e+0, -21.5
4.639e+2, 9.055e+0, -3.494e+0, 9.706e+0, -21.1
3.809e+2, 9.587e+0, -3.569e+0, 1.023e+1, -20.4
3.174e+2, 1.012e+1, -3.592e+0, 1.074e+1, -19.5
2.588e+2, 1.064e+1, -3.569e+0, 1.122e+1, -18.5
2.148e+2, 1.113e+1, -3.510e+0, 1.167e+1, -17.5
1.758e+2, 1.159e+1, -3.432e+0, 1.209e+1, -16.5
1.465e+2, 1.199e+1, -3.350e+0, 1.245e+1, -15.6
1.221e+2, 1.236e+1, -3.264e+0, 1.279e+1, -14.8
9.766e+1, 1.270e+1, -3.165e+0, 1.309e+1, -14.0
8.254e+1, 1.301e+1, -3.093e+0, 1.337e+1, -13.4
6.813e+1, 1.331e+1, -3.087e+0, 1.366e+1, -13.1
5.623e+1, 1.360e+1, -3.146e+0, 1.396e+1, -13.0
4.642e+1, 1.388e+1, -3.261e+0, 1.426e+1, -13.2
3.831e+1, 1.418e+1, -3.422e+0, 1.459e+1, -13.6
3.162e+1, 1.450e+1, -3.628e+0, 1.495e+1, -14.0
2.610e+1, 1.484e+1, -3.877e+0, 1.534e+1, -14.6
2.154e+1, 1.522e+1, -4.173e+0, 1.578e+1, -15.3
1.778e+1, 1.564e+1, -4.517e+0, 1.628e+1, -16.1
1.468e+1, 1.611e+1, -4.912e+0, 1.684e+1, -17.0
1.212e+1, 1.664e+1, -5.343e+0, 1.747e+1, -17.8
1.000e+1, 1.723e+1, -5.820e+0, 1.818e+1, -18.7
8.254e+0, 1.789e+1, -6.363e+0, 1.899e+1, -19.6
6.813e+0, 1.863e+1, -6.968e+0, 1.989e+1, -20.5
5.623e+0, 1.946e+1, -7.646e+0, 2.090e+1, -21.5
4.642e+0, 2.038e+1, -8.399e+0, 2.205e+1, -22.4
3.831e+0, 2.137e+1, -9.208e+0, 2.327e+1, -23.3
3.162e+0, 2.246e+1, -1.011e+1, 2.463e+1, -24.2
2.610e+0, 2.365e+1, -1.111e+1, 2.612e+1, -25.2
2.154e+0, 2.512e+1, -1.233e+1, 2.799e+1, -26.2
1.778e+0, 2.681e+1, -1.379e+1, 3.015e+1, -27.2
1.468e+0, 2.839e+1, -1.534e+1, 3.227e+1, -28.4
1.212e+0, 2.990e+1, -1.700e+1, 3.439e+1, -29.6
1.000e+0, 3.144e+1, -1.878e+1, 3.662e+1, -30.8
8.254e-1, 3.297e+1, -2.073e+1, 3.894e+1, -32.2
6.813e-1, 3.448e+1, -2.297e+1, 4.143e+1, -33.7
5.623e-1, 3.609e+1, -2.560e+1, 4.425e+1, -35.3
4.642e-1, 3.784e+1, -2.863e+1, 4.745e+1, -37.1
3.831e-1, 3.981e+1, -3.214e+1, 5.116e+1, -38.9
3.162e-1, 4.197e+1, -3.611e+1, 5.537e+1, -40.7
2.610e-1, 4.438e+1, -4.064e+1, 6.017e+1, -42.5
2.154e-1, 4.707e+1, -4.582e+1, 6.569e+1, -44.2
1.778e-1, 5.007e+1, -5.174e+1, 7.200e+1, -45.9
1.468e-1, 5.340e+1, -5.847e+1, 7.918e+1, -47.6
1.212e-1, 5.712e+1, -6.617e+1, 8.741e+1, -49.2
1.000e-1, 6.168e+1, -7.544e+1, 9.745e+1, -50.7
8.254e-2, 6.687e+1, -8.610e+1, 1.090e+2, -52.2
6.813e-2, 7.222e+1, -9.796e+1, 1.217e+2, -53.6
5.623e-2, 7.796e+1, -1.116e+2, 1.362e+2, -55.1
4.642e-2, 8.418e+1, -1.275e+2, 1.528e+2, -56.6
3.831e-2, 9.104e+1, -1.460e+2, 1.721e+2, -58.1
3.162e-2, 9.864e+1, -1.676e+2, 1.945e+2, -59.5
2.610e-2, 1.071e+2, -1.931e+2, 2.208e+2, -61.0
2.154e-2, 1.165e+2, -2.230e+2, 2.516e+2, -62.4
1.778e-2, 1.268e+2, -2.578e+2, 2.873e+2, -63.8
1.468e-2, 1.383e+2, -2.992e+2, 3.296e+2, -65.2
1.212e-2, 1.515e+2, -3.489e+2, 3.804e+2, -66.5
1.000e-2, 1.665e+2, -4.075e+2, 4.402e+2, -67.8