12.2 Valori delle funzioni di Fermi

$$ F_{n}(\alpha) = \int_{0}^{\infty}\frac {x^{n}dx} {e^{\alpha + x}+ 1}$$ per vari valori di “n” ed al variare del parametro di degenerazione $\psi = -\alpha$ da -4 (gas non degenere) a +20 (completa degenerazione).

$\psi$	$F_{1/2}$	$F_{3/2}$	$F_{-1/2}$
-4.0	0.016 13	0.024 27	0.032 04
-3.5	0.026 48	0.039 93	0.052 40
-3.0	0.043 37	0.065 61	0.085 26
-2.5	0.070 72	0.107 58	0.137 58
-2.0	0.114 59	0.175 80	0.219 18
-1.5	0.183 80	0.285 77	0.342 62
-1.0	0.290 50	0.460 85	0.521 14
-0.5	0.449 79	0.734 66	0.764 34
0.0	0.678 09	1.152 80	1.072 16
0.5	0.990 21	1.772 79	1.431 68
1.0	1.396 38	2.661 68	1.820 40
1.5	1.900 83	3.891 98	2.214 36
2.0	2.502 46	5.537 25	2.595 40
2.5	3.196 60	7.668 80	2.953 46
3.0	3.976 98	1.035 37 10¹	3.285 22
3.5	4.837 07	1.365 42 10¹	3.591 32
4.0	5.770 73	1.762 77 10¹	3.874 34
4.5	6.772 57	2.232 73 10¹	4.137 4
5.0	7.837 97	2.780 24 10¹	4.383 2
5.5	8.962 99	3.409 92 10¹	4.614 6
6.0	1.014 43 10¹	4.126 10 10¹	4.833 8
6.5	1.137 90 10¹	4.932 90 10¹	5.042 2
7.0	1.266 46 10¹	5.834 22 10¹	5.241 6
7.5	1.399 91 10¹	6.833 81 10¹	5.432 8
8.0	1.538 05 10¹	7.935 26 10¹	5.617 0
8.5	1.680 71 10¹	9.142 02 10¹	5.795 0
9.0	1.827 76 10¹	1.045 74 10²	5.967 4
9.5	1.979 04 10¹	1.188 47 10²	6.134 6
10.0	2.134 45 10¹	1.342 70 10²	6.297 2
10.5	2.293 86 10¹	1.508 74 10²	6.455 4
11.0	2.457 18 10¹	1.686 88 10²	6.609 6
11.5	2.624 32 10¹	1.877 41 10²	6.760 4
12.0	2.795 18 10¹	2.080 62 10²	6.907 6
12.5	2.969 68 10¹	2.296 78 10²	7.051 8
13.0	3.147 75 10¹	2.526 16 10²	7.193 0
13.5	3.329 31 10¹	2.769 03 10²	7.331 4
14.0	3.514 30 10¹	3.025 64 10²	7.467 2
14.5	3.702 65 10¹	3.296 26 10²	7.600 6
15.0	3.894 30 10¹	3.581 12 10²	7.731 4
15.5	4.089 21 10¹	3.880 48 10²	7.860 2
16.0	4.287 30 10¹	4.194 58 10²	7.986 8
16.5	4.488 54 10¹	4.523 66 10²	8.111 6
17.0	4.692 86 10¹	4.867 94 10²	8.234 2
17.5	4.900 24 10¹	5.227 66 10²	8.355 2
18.0	5.110 61 10¹	5.603 05 10²	8.474 4
18.5	5.323 94 10¹	5.994 33 10²	8.591 8
19.0	5.540 19 10¹	6.401 72 10²	8.707 6
19.5	5.759 31 10¹	6.825 43 10²	8.822 0
20.0	5.981 26 10¹	7.265 68 10²	8.935 0