Figure 2(c): The size distribution histogram of the pores in (a)
Areas of the pores observed 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.

Area of the pores in (a)
35.29
9.954
62.436
25.336
69.675
32.575
18.097
19.002
36.195
11.763
0.905
0.905
10.858
6.334
32.575
20.812
56.102
64.246
9.954
34.385
20.812
44.339
28.051
0.905
0.905
0.905
0.905
0.905
0.905
47.053
52.483
19.907
0.905
0.905
54.292
0.905
36.195
17.193
0.905
45.244
27.146
0.905
28.051
0.905
0.905
54.292
5.429
0.905
0.905
0.905
18.097
0.905
0.905
54.292
12.668
42.529
0.905
23.527
39.814
0.905
0.905
19.907
0.905
0.905
0.905
0.905
0.905
41.624
0.905
0.905
0.905
63.341
46.149
47.958
29.861
0.905
0.905
67.866
0.905
0.905
0.905
0.905
70.58
0.905
8.144
71.485
54.292
32.575
0.905
0.905
0.905
0.905
0.905
17.193
0.905
0.905
55.197
72.39
0.905
0.905
15.383
17.193
0.905
0.905
36.195
34.385
0.905
47.053
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
55.197
43.434
6.334
157.448
0.905
0.905
0.905
0.905
0.905
80.534
15.383
30.766
0.905
26.241
0.905
50.673
0.905
40.719
0.905
52.483
8.144
48.863
32.575
0.905
0.905
0.905
62.436
71.485
9.954
0.905
0.905
69.675
0.905
0.905
0.905
73.295
45.244
42.529
53.388
0.905
0.905
19.002
0.905
0.905
0.905
2.715
0.905
0.905
57.912
28.051
0.905
24.432
55.197
0.905
0.905
0.905
0.905
51.578
0.905
0.905
0.905
0.905
0.905
58.817
0.905
0.905
58.817
40.719
52.483
0.905
0.905
0.905
0.905
0.905
29.861
0.905
0.905
63.341
46.149
0.905
0.905
52.483
0.905
66.961
24.432
57.007
0.905
35.29
0.905
0.905
0.905
35.29
0.905
40.719
0.905
0.905
0.905
0.905
66.056
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
82.344
0.905
0.905
48.863
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
17.193
0.905
0.905
0.905
0.905
0.905
1.81
63.341
0.905
127.587
0.905
11.763
0.905
41.624
0.905
0.905
0.905
0.905
0.905
9.954
0.905
0.905
0.905
0.905
72.39
25.336
0.905
0.905
36.195
0.905
0.905
149.304
0.905
0.905
0.905
0.905
33.48
0.905
0.905
0.905
57.912
0.905
0.905
43.434
0.905
0.905
98.631
0.905
90.487
0.905
44.339
38.005
0.905
0.905
30.766
48.863
35.29
0.905
0.905
14.478
0.905
0.905
85.058
0.905
31.671
39.814
77.819
0.905
0.905
0.905
21.717
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
52.483
64.246
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
30.766
0.905
0.905
0.905
0.905
0.905
45.244
30.766
1.81
0.905
0.905
0.905
0.905
41.624
0.905
0.905
33.48
18.097
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
0.905
42.529
0.905
0.905
0.905
0.905
105.87
0.905
147.494
0.905
0.905
0.905
0.905
0.905
47.053
0.905
33.48
0.905
70.58
4.524
0.905
2.715
0.905
0.905
0.905
73.295
27.146
0.905
0.905
33.48
0.905
0.905
0.905
0.905
163.782
3.619
0.905
0.905
0.905
47.958
0.905
4.524
66.961
0.905
0.905
0.905
0.905
0.905
0.905
43.434
59.722
0.905
0.905
0.905
0.905
0.905
0.905
39.814
65.151
0.905
1.81
0.905
0.905
0.905
76.914
0.905
52.483
0.905
0.905
0.905
0.905
119.443
49.768
69.675
0.905
60.627
0.905
0.905
0.905
0.905
0.905
0.905
0.905
47.053
0.905
142.97
11.763
0.905
0.905
0.905
0.905
0.905
0.905
50.673
0.905
0.905
0.905
158.353
0.905
101.346
43.434
33.48
1.81
0.905
0.905
0.905
0.905
74.2
179.165
120.348
0.905
79.629
0.905
62.436
0.905
0.905
0.905
49.768
0.905
0.905
0.905
0.905
0.905
0.905
95.917
0.905
0.905
0.905
41.624
0.905
0.905
0.905
0.905
0.905
75.105
0.905
69.675
67.866
44.339
66.056
0.905
61.531
58.817
73.295
152.924
0.905
60.627
56.102
56.102
0.905
0.905
0.905
54.292
0.905
0.905
0.905
34.385
0.905
60.627
0.905
66.961
0.905
0.905
68.77
62.436
66.056
0.905
0.905
118.538
0.905
0.905
34.385
44.339
28.956
47.958
50.673
3.619
0.905
61.531
0.905
0.905
0.905
68.77
157.448
66.961
0.905
0.905
0.905
144.78
0.905
27.146
40.719
0.905
49.768
0.905
4.524
0.905
43.434
0.905
5.429
0.905
0.905
0.905
0.905
0.905
22.622
14.478
57.912
74.2
36.195
45.244
0.905
101.346
0.905
40.719
0.905
50.673
37.1
121.253
0.905
0.905
0.905
0.905
0.905
66.056
7.239
40.719
0.905
143.875
20.812
126.682
0.905
262.413
13.573
133.016
27.146
13.573
183.689
128.492
0.905
0.905
0.905
0.905
0.905
78.724
66.961
0.905
0.905
41.624
46.149
0.905
136.636
49.768
66.056
45.244
0.905
0.905
75.105
67.866
114.014
0.905
91.392
0.905
0.905
0.905
0.905
41.624
55.197
67.866
0.905
0.905
74.2
0.905
0.905
51.578
0.905
154.733
0.905
0.905
103.156
0.905
0.905
65.151
64.246
25.336
0.905
0.905
44.339
53.388
63.341
0.905
0.905
19.002
44.339
0.905
0.905
0.905
0.905
69.675
37.1
73.295
88.678
165.592
0.905
142.97
140.255
63.341
30.766
66.961
0.905
85.963
56.102
0.905
11.763
38.91
161.972
76.009
72.39
6.334
0.905
184.594
0.905
0.905
0.905
167.402
55.197
34.385
79.629
0.905
0.905
0.905
29.861
54.292
99.536
0.905
128.492
0.905
9.049
54.292
0.905
22.622
67.866
81.439
39.814
71.485
0.905
152.924
73.295
22.622
93.202
45.244
55.197
69.675
182.784
108.585
0.905
0.905
50.673
87.773
2.715
77.819
65.151
57.912
35.29
0.905
8.144
33.48
15.383
18.097
0.905
41.624
71.485
23.527
35.29
47.958
24.432
33.48
48.863
47.958
73.295
40.719
0.905
0.905
49.768
95.012
47.053
50.673
38.005
51.578
0.905
0.905
48.863
50.673
43.434
0.905
136.636
73.295
0.905
0.905
23.527
55.197
0.905
49.768
56.102
79.629
59.722
55.197
0.905
10.858
29.861
60.627
41.624
55.197
46.149
27.146
19.002
46.149
51.578
54.292
15.383
54.292
57.007
0.905
38.91
65.151
30.766
28.051
0.905
72.39
42.529
34.385
39.814
133.016
0.905
48.863
54.292
27.146
0.905
14.478
10.858
0.905
19.907
0.905
8.144
72.39
50.673
34.385
146.59
35.29
50.673
37.1
44.339
19.907
53.388
54.292
24.432
32.575
0.905
33.48
17.193
14.478
12.668
56.102
0.905
0.905
0.905
3.619
37.1
12.668
0.905
0.905
56.102
22.622
11.763
68.77
58.817
69.675
0.905
0.905
0.905
28.956
44.339
73.295
52.483
24.432
61.531
0.905
34.385
107.68
72.39
0.905
41.624
103.156
41.624
15.383
0.905
51.578
0.905
38.005
0.905
50.673
24.432
160.163
117.634
43.434
42.529
0.905
96.821
0.905
31.671
76.914
71.485
0.905
48.863
0.905
67.866
74.2
34.385
47.053
0.905
33.48
0.905
0.905
115.824
119.443
0.905
0.905
31.671
48.863
100.441
9.049
0.905
35.29
0.905
0.905
50.673
104.06
57.912
76.914
32.575
23.527
48.863
48.863
0.905
47.053
0.905
55.197
0.905
6.334
18.097
78.724
47.053
33.48
40.719
38.91
0.905
66.961
96.821
0.905
66.056
60.627
0.905
10.858
46.149
34.385
36.195
0.905
59.722
52.483
0.905
54.292
51.578
0.905
0.905
57.007
0.905
60.627
40.719
65.151
48.863
0.905
0.905
29.861
54.292
53.388
0.905
38.91
80.534
25.336
46.149
68.77
0.905
0.905
11.763
0.905
0.905
0.905
74.2
19.907
64.246
18.097
46.149
0.905
46.149
83.248
63.341
102.251
0.905
0.905
27.146
27.146
60.627
0.905
0.905
0.905
32.575
24.432
49.768
37.1
0.905
76.009
4.524
43.434
75.105
0.905
86.868
0.905
62.436
71.485
32.575
51.578
57.912
0.905
32.575
0.905
36.195
0.905
0.905
0.905
87.773
102.251
85.963
39.814
42.529
0.905
79.629
0.905
29.861
0.905
0.905
43.434
0.905
70.58
0.905
76.914
67.866
0.905
47.053
65.151
0.905
42.529
65.151
60.627
70.58
0.905
91.392
0.905
30.766
4.524
64.246
0.905
60.627
65.151
0.905
0.905
0.905
34.385
68.77
76.914
0.905
38.005
56.102
54.292
43.434
0.905
65.151
0.905
126.682
61.531
0.905
0.905
0.905
57.912
23.527
60.627
0.905
44.339
66.961
0.905
5.429
56.102
0.905
0.905
52.483
44.339
31.671
68.77
0.905
10.858
0.905
83.248
54.292
57.912
73.295
28.051
5.429
57.912
0.905
28.956
94.107
0.905
47.053
41.624
0.905
61.531
57.007
35.29
0.905
63.341
55.197
0.905
94.107
98.631
0.905
20.812
60.627
0.905
58.817
58.817
38.91
26.241
69.675
4.524
78.724
29.861
43.434
0.905
70.58
0.905
0.905
16.288
69.675
45.244
89.582
48.863
39.814
58.817
60.627
98.631
61.531
61.531
27.146
54.292
47.958
66.056
60.627
0.905
0.905
51.578
22.622
73.295
0.905
32.575
44.339
34.385
0.905
0.905
85.058
94.107
50.673
0.905
0.905
30.766
51.578
52.483
18.097
81.439
66.961
156.543
64.246
71.485
0.905
0.905
0.905
48.863
70.58
28.051
85.963
20.812
28.956
53.388
11.763
30.766
57.007
71.485
43.434
25.336
74.2
42.529
44.339
36.195
0.905
78.724
0.905
37.1
0.905
57.912
61.531
0.905
0.905
84.153
36.195
95.917
36.195
168.307
39.814
58.817
65.151
19.907
2.715
130.302
39.814
63.341
42.529
71.485
161.972
75.105
73.295
0.905
92.297
68.77
0.905
62.436
8.144
14.478
0.905
136.636
66.056
35.29
152.924
142.065
73.295
0.905
66.961
0.905
77.819
0.905
64.246
67.866
58.817
47.958
55.197
74.2
58.817
3.619
46.149
46.149
34.385
61.531
27.146
0.905
24.432
64.246
0.905
51.578
49.768
21.717
49.768
55.197
112.204
0.905
1.81
63.341
26.241
60.627
0.905
77.819
84.153
53.388
0.905
0.905
17.193
176.45
85.058
59.722
28.051
0.905
0.905
31.671
28.956
40.719
0.905
0.905
4.524
0.905
29.861
0.905
40.719
33.48
0.905
9.954
69.675
37.1
15.383
76.914
2.715
47.958
0.905
45.244
30.766
28.956
0.905
51.578
66.056
62.436
33.48
0.905
130.302
66.056
76.914
66.056
10.858
19.002
0.905
5.429
33.48
31.671
0.905
57.007
55.197
35.29
76.009
53.388
33.48
0.905
0.905
50.673
237.077
43.434
38.91
46.149
59.722
9.954
0.905
0.905
43.434
65.151
32.575
0.905
66.961
78.724
28.051
0.905
26.241
61.531
31.671
38.91
42.529
55.197
49.768
49.768
0.905
0.905
16.288
57.912
64.246
66.056
78.724
94.107
47.958
0.905
45.244
35.29
24.432
89.582
171.021
1.81
62.436
78.724
120.348
57.912
7.239
36.195
149.304
67.866
49.768
0.905
28.956
57.912
0.905
66.961
40.719
74.2
0.905
53.388
0.905
76.009
94.107
0.905
51.578
45.244
33.48
71.485
3.619
23.527
44.339
37.1
0.905
15.383
40.719
57.912
59.722
50.673
83.248
47.958
78.724
30.766
63.341
53.388
0.905
58.817
0.905
80.534
63.341
72.39
69.675
47.958
0.905
47.958
34.385
19.002
74.2
75.105
54.292
85.058
58.817
57.007
83.248
184.594
81.439
0.905
0.905
0.905
66.961
59.722
3.619
0.905
0.905
77.819
5.429
89.582
0.905
83.248
48.863
88.678
21.717
26.241
92.297
41.624
55.197
54.292
93.202
0.905
160.163
38.005
42.529
47.958
62.436
54.292
64.246
40.719
85.058
63.341
87.773
57.007
28.956
20.812
62.436
21.717
45.244
148.399
40.719
78.724
59.722
62.436
175.546
0.905
59.722
39.814
0.905
76.914
86.868
52.483
0.905
76.009
53.388
77.819
35.29
77.819
21.717
47.958
70.58
45.244
87.773
46.149
73.295
107.68
40.719
85.058
33.48
60.627
51.578
50.673
18.097
0.905
77.819
66.056
57.007
76.914
25.336
100.441
46.149
54.292
91.392
38.005
151.114
78.724
0.905
71.485
95.917
0.905
127.587
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61.531
66.961
0.905
71.485
29.861
43.434
88.678
20.812
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47.053
81.439
48.863
47.053
69.675
66.961
85.963
42.529
52.483
0.905
48.863
77.819
32.575
54.292
51.578
0.905
0.905
64.246
142.97
9.049
61.531
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142.97
57.007
74.2
66.056
38.91
28.956
77.819
80.534
58.817
42.529
47.958
65.151
72.39
17.193
46.149
41.624
1.81
1.81
47.053
38.005
144.78
5.429
84.153
180.975
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42.529
6.334
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2.715
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43.434
91.392
81.439
12.668
172.831
56.102
46.149
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0.905
47.053
66.961
74.2
63.341
33.48
0.905
12.668
3.619
58.817
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84.153
95.012
59.722
226.218
77.819
35.29
143.875
64.246
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61.531
59.722
59.722
82.344
41.624
65.151
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60.627
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64.246
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47.958
49.768
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38.005
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53.388
57.007
25.336
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58.817
11.763
87.773
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74.2
71.485
31.671
61.531
116.729
8.144
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38.005
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50.673
98.631
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37.1
132.112
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77.819
52.483
40.719
79.629
9.049
79.629
57.007
43.434
0.905
40.719
1.81
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19.002
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54.292
40.719
66.056
70.58
26.241
59.722
56.102
42.529
73.295
18.097
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74.2
58.817
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58.817
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8.144
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7.239
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34.385
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22.622
79.629
18.097
55.197
0.905
57.912
51.578
47.053
58.817
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45.244
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37.1
101.346
39.814
57.912
76.914
56.102
71.485
57.007
11.763
51.578
49.768
60.627
60.627
72.39
80.534
119.443
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62.436
45.244
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76.914
28.051
0.905
74.2
0.905
68.77
49.768
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68.77
56.102
46.149
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74.2
94.107
53.388
22.622
72.39
57.912
52.483
72.39
38.005
57.007
68.77
2.715
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57.007
76.009
63.341
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94.107
61.531
38.91
39.814
67.866
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0.905
44.339
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40.719
56.102
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93.202
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29.861
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78.724
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66.056
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53.388
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59.722
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33.48
77.819
0.905
0.905
66.056
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98.631
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49.768
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3.619
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0.905
59.722
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172.831
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42.529
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66.961
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1.81
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49.768
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0.905
52.483
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54.292
6.334
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38.91
52.483
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51.578
52.483
45.244
68.77
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52.483
59.722
0.905
81.439
70.58
140.255
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37.1
46.149
60.627
68.77
0.905
98.631
0.905
44.339
20.812
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51.578
7.239
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0.905
0.905
0.905
2.715
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1.81
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56.102
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78.724
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0.905
35.29
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40.719
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47.053
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9.049
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2.715
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0.905
73.295
0.905
33.48
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50.673
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0.905
44.339
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69.675
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0.905
33.48
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79.629
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0.905
11.763
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28.956
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55.197
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47.958
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86.868
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92.297
92.297
5.429
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6.334
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142.065
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66.961
22.622
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157.448
256.079
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38.005
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8.144
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24.432
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113.109
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0.905
26.241
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57.912
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38.005
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58.817
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22.622
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10.858
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4.524