
Figure 8(b) The size distribution histograms of the particles in (a)

The area of the particles in (a) (The pore diamaters were calculated from the areas by using 2*(area/pi)^0.5. A
Gaussian distribution in “Origin” was conducted to fit the calculate pore size histogram.

Areas of the particles in (a)
2512.295
9384.159
6650.192
443.346
5394.044
147.782
4064.006
3029.532
66206.353
738.91
1995.058
5541.826
5246.262
1551.711
369.455
1182.256
29039.17
19285.556
53718.771
14778.204
34137.651
27635.241
1625.602
11896.454
147.782
1625.602
42265.663
812.801
4137.897
1403.929
812.801
1847.275
812.801
6502.41
42413.445
4285.679
1182.256
5985.173
1699.493
1551.711
15073.768
2733.968
1477.82
23719.017
960.583
3916.224
3398.987
47807.489
665.019
4950.698
886.692
6797.974
517.237
812.801
1108.365
4137.897
2290.622
443.346
5024.589
9014.704
5911.282
3620.66
3768.442
2216.731
6945.756
960.583
10123.07
1034.474
2660.077
2512.295
960.583
8275.794
960.583
4876.807
1034.474
591.128
369.455
9384.159
6502.41
1403.929
1182.256
4211.788
812.801
4285.679
3251.205
1699.493
2733.968
1921.166
1477.82
1551.711
8201.903
6945.756
5763.499
9605.832
3325.096
1551.711
1108.365
1699.493
56969.976
11379.217
1403.929
1995.058
517.237
7610.775
18177.191
2881.75
5689.608
5467.935
221.673
5911.282
738.91
1034.474
51797.604
3546.769
4581.243
1034.474
443.346
4729.025
9310.268
3103.423
11157.544
8940.813
295.564
1182.256
3620.66
1847.275
73.891
5837.39
22684.543
1847.275
3177.314
5024.589
2216.731
7167.429
2216.731
6576.301
14778.204
18324.973
1773.384
1773.384
16034.351
9531.941
1256.147
2733.968
16403.806
4581.243
4802.916
1921.166
591.128
2881.75
1403.929
4433.461
12709.255
46181.887
3251.205
2216.731
28300.26
18251.082
10418.634
1847.275
812.801
1034.474
1403.929
1847.275
1034.474
10196.961
7684.666
1847.275
3842.333
10123.07
6132.955
19728.902
443.346
6502.41
1330.038
30221.427
2733.968
7758.557
73.891
5467.935
32585.939
1921.166
3177.314
7906.339
2142.84
3472.878
2955.641
6206.846
665.019
1108.365
4655.134
2660.077
1773.384
1034.474
2438.404
1995.058
665.019
3177.314
1699.493
6945.756
1108.365
517.237
2586.186
6871.865
6206.846
738.91
3546.769
4211.788
7093.538
5467.935
2660.077
4433.461
1995.058
147.782
369.455
1699.493
3325.096
2660.077
2364.513
6724.083
15221.55
295.564
4211.788
1477.82
738.91
4507.352
12339.8
4802.916
12118.127
1108.365
1477.82
1551.711
2290.622
2438.404
7980.23
3251.205
2216.731
960.583
8940.813
1847.275
1108.365
6280.737
7167.429
8940.813
1403.929
58078.341
1477.82
10640.307
9162.486
1330.038
3029.532
5246.262
3694.551
6502.41
5837.39
1847.275
1256.147
886.692
2660.077
9605.832
665.019
1477.82
8571.358
4950.698
4211.788
3842.333
4285.679
1477.82
42930.682
5098.48
1921.166
10270.852
5837.39
30664.773
5320.153
15591.005
1847.275
7462.993
3768.442
3694.551
1034.474
1773.384
5098.48
1108.365
4285.679
3177.314
1551.711
1034.474
5024.589
1108.365
3251.205
295.564
738.91
2142.84
24975.164
1330.038
738.91
27118.004
20024.466
10123.07
4433.461
7758.557
1034.474
4876.807
1847.275
10640.307
5541.826
4950.698
1403.929
2438.404
5024.589
12709.255
13078.71
886.692
886.692
6724.083
1034.474
10344.743
1551.711
3916.224
3177.314
1034.474
16625.479
5024.589
18251.082
8793.031
2290.622
1330.038
2807.859
1699.493
8719.14
2955.641
1108.365
2438.404
1625.602
4064.006
1256.147
1995.058
2955.641
517.237
55048.809
886.692
443.346
221.673
2216.731
4655.134
2142.84
3325.096
1477.82
31477.574
2216.731
22980.107
11009.762
1034.474
7684.666
9384.159
147.782
5246.262
6797.974
1773.384
4729.025
2364.513
1625.602
2955.641
1034.474
1773.384
6502.41
5467.935
960.583
32807.612
960.583
147.782
2807.859
960.583
2068.949
4655.134
9827.506
3029.532
295.564
812.801
2068.949
5689.608
15295.441
8571.358
11231.435
1330.038
9975.288
22167.306
886.692
886.692
5098.48
2881.75
3694.551
1182.256
47364.143
18472.755
7019.647
9458.05
16994.934
665.019
3177.314
25196.837
1773.384
517.237
4581.243
6428.519
27856.914
10492.525
1182.256
147.782
1921.166
3398.987
8201.903
1847.275
37462.747
2068.949
738.91
38866.676
2142.84
1551.711
1330.038
14260.967
5763.499
4950.698
35172.125
6797.974
1551.711
48841.964
1551.711
295.564
1551.711
7684.666
1699.493
7536.884
9679.723
2216.731
3768.442
5246.262
40344.496
4876.807
2142.84
6059.064
5320.153
51797.604
295.564
4581.243
5837.39
2068.949
27709.132
7832.448
12857.037
2216.731
3990.115
221.673
73.891
10566.416
34063.76
369.455
591.128
369.455
1256.147
9605.832
1477.82
70048.686
2586.186
5689.608
960.583
7019.647
2364.513
4137.897
41896.208
6576.301
4064.006
3916.224
4211.788
738.91
1477.82
4064.006
2586.186
1108.365
1403.929
3325.096
3842.333
665.019
4137.897
4211.788
4802.916
5837.39
3325.096
2733.968
665.019
3916.224
3768.442
1256.147
5985.173
1330.038
1625.602
1477.82
12783.146
3842.333
2881.75
73.891
2660.077
2512.295
9975.288
4655.134
2807.859
2216.731
17807.736
3029.532
4211.788
517.237
6650.192
2216.731
1403.929
73.891
369.455



Figure 8(d) The size distribution histograms of the particles in (c)

The area of the particles in (c) (The pore diamaters were calculated from the areas by using 2*(area/pi)^0.5. A
Gaussian distribution in “Origin” was conducted to fit the calculate pore size histogram.

Area of the particles in (c) 
4540.965
36.719
61.199
4271.69
1419.817
465.112
7931.389
1334.138
514.072
195.837
391.674
1603.414
416.153
354.954
2864.113
611.99
1175.021
1334.138
24.48
2239.883
575.271
24.48
122.398
97.918
832.306
3708.659
722.148
61.199
4455.286
3818.817
122.398
1554.454
220.316
2374.521
1689.092
1064.862
1676.852
269.276
501.832
930.225
403.913
587.51
930.225
134.638
97.918
24.48
208.077
440.633
97.918
6376.935
1346.378
36.719
220.316
2937.552
5152.955
465.112
1003.663
391.674
36.719
293.755
24.48
85.679
146.878
2962.031
550.791
624.23
2839.633
195.837
195.837
2888.592
1774.771
24.48
36.719
183.597
587.51
195.837
2105.245
24.48
2974.271
856.786
269.276
1089.342
122.398
8335.302
2827.393
24.48
208.077
869.026
97.918
36.719
636.469
3280.266
97.918
24.48
220.316
2741.715
195.837
36.719
5006.077
3365.944
1223.98
452.873
232.556
8849.374
391.674
61.199
244.796
2998.751
134.638
4785.761
6854.287
1199.5
4467.526
36.719
342.714
758.867
2068.526
1113.822
232.556
1211.74
1542.215
208.077
7417.318
97.918
1603.414
611.99
783.347
146.878
97.918
61.199
954.704
110.158
1040.383
783.347
159.117
3023.23
709.908
73.439
85.679
9950.956
403.913
391.674
61.199
1456.536
2129.725
1248.459
1334.138
856.786
2166.444
24.48
1419.817
709.908
685.429
6842.047
8261.864
3696.419
2704.995
1346.378
734.388
1077.102
1909.408
1334.138
1346.378
428.393
489.592
3072.189
24.48
954.704
281.515
97.918
36.719
1787.011
1309.658
1321.898
1725.812
2215.403
4394.087
6499.333
2129.725
36.719
2558.118
293.755
8408.741
171.357
440.633
428.393
195.837
1358.618
2080.766
2839.633
4418.567
2068.526
489.592
1505.495
24.48
73.439
2129.725
1946.128
36.719
2729.475
1407.577
24.48
379.434
3084.429
1126.061
2411.24
966.944
1028.143
6254.537
1199.5
2986.511
4455.286
293.755
244.796
293.755
832.306
1456.536
722.148
36.719
1407.577
3316.985
3977.934
2753.955
2607.077
73.439
24.48
85.679
220.316
771.107
1603.414
587.51
807.827
257.036
1003.663
3831.057
648.709
134.638
159.117
1272.939
24.48
1150.541
1089.342
2227.643
832.306
1995.087
4210.491
1260.699
1958.368
1419.817
122.398
1358.618
428.393
1211.74
36.719
428.393
4357.368
1089.342
697.668
1554.454
771.107
232.556
722.148
183.597
269.276
1835.97
2839.633
881.265
146.878
1897.169
1383.097
1285.179
85.679
3977.934
416.153
428.393
856.786
1432.056
563.031
758.867
1468.776
930.225
110.158
24.48
942.464
501.832
1689.092
1175.021
5103.996
1199.5
2729.475
3145.628
660.949
183.597
807.827
2631.557
1211.74
73.439
1272.939
1652.373
2913.072
85.679
1383.097
85.679
979.184
697.668
1138.301
24.48
452.873
2460.199
5177.435
673.189
501.832
587.51
820.066
6009.741
146.878
1003.663
36.719
2998.751
587.51
1566.694
391.674
1897.169
1113.822
611.99
1578.934
5422.231
4651.123
501.832
318.235
36.719
24.48
587.51
122.398
24.48
318.235
97.918
24.48
61.199
367.194
36.719
159.117
1419.817
709.908
722.148
1444.296
1101.582
36.719
917.985
783.347
1958.368
2325.562
538.551
2949.791
183.597
1040.383
1236.22
36.719
416.153
1897.169
1297.419
2668.276
2656.036
807.827
2558.118
783.347
869.026
1505.495
208.077
844.546
477.352
599.75
820.066
3733.138
110.158
134.638
1848.21
4088.093
599.75
85.679
771.107
134.638
122.398
281.515
159.117
48.959
599.75
3733.138
611.99
1664.613
832.306
2619.317
183.597
3316.985
24.48
220.316
61.199
452.873
514.072
367.194
48.959
36.719
220.316
354.954
1444.296
110.158
465.112
24.48
1627.893
257.036
709.908
293.755
257.036
110.158
587.51
354.954
354.954
1187.26
1787.011
134.638
318.235
2925.312
110.158
110.158
709.908
48.959
318.235
1517.735
73.439
171.357
183.597
954.704
73.439
171.357
195.837
220.316
85.679
1236.22
36.719
1909.408
48.959
1064.862
563.031
1040.383
1615.653
269.276
24.48
391.674
966.944
1493.255
36.719
599.75
220.316
48.959
171.357
942.464
134.638
771.107
550.791
1175.021
1272.939
48.959
61.199
3463.863
734.388
48.959
391.674
36.719
257.036
269.276
1187.26
1126.061
159.117
869.026
24.48
1223.98
3133.388
305.995
2472.439
820.066
269.276
4149.292
159.117
991.424
10856.701
1028.143
1064.862
1077.102
73.439
685.429
122.398
330.475
73.439
2839.633
2656.036
36.719
232.556
122.398
1835.97
2399
2411.24
159.117
526.311
195.837
673.189
391.674
452.873
526.311
36.719
159.117
575.271
550.791
722.148
501.832
538.551
1554.454
611.99
5055.037
1285.179
1395.337
85.679
24.48
2386.761
48.959
36.719
24.48
1627.893
783.347
942.464
1260.699
1150.541
501.832
1884.929
85.679
257.036
709.908
697.668
2509.159
1958.368
771.107
1028.143
538.551
367.194
1407.577
134.638
159.117
3855.536
1309.658
24.48
501.832
4014.654
36.719
1407.577
403.913
195.837
257.036
244.796
575.271
1725.812
244.796
36.719
1921.648
342.714
220.316
257.036
1334.138
807.827
24.48
354.954
1640.133
122.398
930.225
2876.353
1101.582
1175.021
110.158
6156.618
4112.572
1175.021
367.194
318.235
795.587
917.985
183.597
1835.97
648.709
599.75
305.995
2411.24
942.464
403.913
257.036
146.878
24.48
1101.582
1481.016
771.107
171.357
905.745
1150.541
709.908
403.913
24.48
2619.317
61.199
1823.73
1811.49
269.276
110.158
514.072
526.311
61.199
930.225
171.357
342.714
379.434
1064.862
1542.215
624.23
869.026
1897.169
354.954
893.505
159.117
709.908
526.311
6058.7
2019.567
61.199
1138.301
660.949
1015.903
4577.684
110.158
4234.97
293.755
122.398
97.918
1627.893
318.235
257.036
318.235
942.464
24.48
2374.521
1370.857
428.393
1089.342
2851.873
110.158
73.439
477.352
220.316
954.704
501.832
2337.801
61.199
183.597
648.709
1958.368
330.475
856.786
856.786
1432.056
1933.888
954.704
1028.143
354.954
354.954
85.679
611.99
171.357
538.551
171.357
489.592
1970.607
428.393
893.505
134.638
2129.725
85.679
85.679
1689.092
110.158
305.995
134.638
232.556
465.112
1003.663
2496.919
746.628
24.48
61.199
1101.582
807.827
24.48
73.439
403.913
2656.036
979.184
795.587
61.199
2986.511
195.837
48.959
257.036
3757.618
24.48
3965.695
526.311
526.311
2913.072
220.316
146.878
367.194
1077.102
73.439
856.786
452.873
991.424
61.199
758.867
61.199
3831.057
61.199
134.638
575.271
73.439
2288.842
550.791
220.316
61.199
48.959
1211.74
134.638
1113.822
685.429
1799.25
1395.337
183.597
97.918
48.959
24.48
24.48
820.066
3476.103
1872.689
746.628
1823.73
1297.419
171.357
465.112
379.434
1799.25
6242.297
195.837
979.184
1248.459
48.959
354.954
722.148
3268.026
2533.638
1187.26
24.48
122.398
807.827
2141.965
24.48
61.199
2129.725
110.158
48.959
2337.801
930.225
24.48
232.556
771.107
550.791
24.48
526.311
1150.541
146.878
97.918
575.271
183.597
244.796
1762.531
293.755
452.873
24.48
48.959
1529.975
844.546
905.745
1297.419
24.48
526.311
709.908
1285.179
979.184
281.515
807.827
966.944
195.837
36.719
85.679
5042.797
599.75
48.959
85.679
575.271
930.225
24.48
930.225
2631.557
232.556
110.158
134.638
2056.286
1529.975
281.515
2019.567
1272.939
24.48
1175.021
5214.154
122.398
220.316
465.112
171.357
3182.347
36.719
1909.408
354.954
452.873
575.271
440.633
85.679
48.959
771.107
856.786
2607.077
807.827
526.311
489.592
367.194
2350.041
281.515
3316.985
171.357
159.117
2190.924
24.48
1554.454
452.873
2056.286
195.837
538.551
5434.47
905.745
2276.602
2509.159
281.515
318.235
697.668
122.398
3010.99
61.199
159.117
232.556
477.352
3757.618
305.995
1529.975
1505.495
673.189
2007.327
1003.663
146.878
1982.847
2937.552
24.48
7551.955
4075.853
3329.225
73.439
1897.169
3010.99
1150.541
4051.373
575.271
61.199
1248.459
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