APERTURE TABLE 
Corresp 
onding Angle 
(2 u) for 
1 Limit of Resolving Power, In I 
ilnes to an Inch. 
omerical 
aperture. 
A 
ir 
Water 
Homogeneous 
Immersion 
1 White Light. 
|(A = O’ 5269 fi , 
Monochromatic 
(Blue) Light. 
j Photogrnphy. 
(\ = O’ 4000 a. 
Illuminati! 
Power. 
(a 2 .) 
)• i eln u = <*•) 
[ o = 
1 - 00 ). 
(n= 1-33). 
(n = l-52). 
Line E .) 
(A = 0‘4861 fi , 
Line F.) 
Near Line *!) 
V 
1 1-52 
180 ° 0 ' 
146,543 
158,845 
193,037 
2-310 
1-51 
166 ° 51 ' 
145,579 
157,800 
191 ,767 
2-280 
1-50 
161 ° 23 ' 
144,615 
156,755 
190,497 
2-250 
1-49 
157 ° 12 ' 
143,651 
155,710 
189,227 
2-220 
1-48 
153 ° 39 ' 
142,687 
154,665 
187,957 
2-190 
1-47 
150 ° 32 ' 
141,723 
153,620 
186,687 
2161 
1-46 
147 ° 42 ' 
140,759 
152,575 
185,417 
2 132 
1-45 
• • 
145 ° 6 ' 
139,795 
151,530 
184,147 
2-103 
1-44 
• • 
142 ° 39 ' 
138,830 
150,485 
182,877 
2-074 
1-43 
• • 
140 ° 22 ' 
137,866 
149,440 
181,607 
2-045 
1-42 
138 ° 12 ' 
136,902 
148,395 
180,337 
2-016 
1-41 
136 ° 8 ' 
135,938 
147,350 
179,067 
1-988 
1-40 
134 ° 10 ' 
134,974 
146,305 
177,797 
1-960 
1-39 
132 ° 16 ' 
134,010 
145,260 
176,527 
1-932 
1-38 
130 ° 26 ' 
133,046 
144,215 
175,257 
1-904 
1-37 
128 ° 40 ' 
132,082 
143,170 
173,987 
1-877 
1-36 
126 ° 58 ' 
131,118 
142,125 
172,717 
1-850 
1-35 
125 ° 18 ' 
130,154 
141,080 
171,447 
1-823 
1-34 
123 ° 40 ' 
129,189 
140,035 
170,177 
1-796 
1-33 
180 ° 0 ' 
122 ° 6 ' 
128,225 
138,989 
168,907 
1-769 
1-32 
165 ° 56 ' 
120 ° 33 ' 
127,261 
137,944 
167,637 
1-742 
1-30 
155 ° 38 ' 
117 ° 35 ' 
125,333 
135,854 
165,097 
1-690 
1-28 
148 ° 42 ' 
114 ° 44 ' 
123,405 
133,764 
162,557 
1-638 
1-26 
142 ° 39 ' 
111 ° 59 ' 
121,477 
131,674 
160,017 
1-588 
1-24 
137 ° 36 ' 
109 ° 20 ' 
119,548 
129,584 
157,477 
1-538 
1-22 
133 ° 4 ' 
106 ° 45 ' 
117,620 
127,494 
154,937 
1-488 
1-20 
128 ° 55 ' 
104 ° 15 ' 
115,692 
125,404 
152,397 
1-440 
1-18 
125 ° 3 ' 
101 ° 50 ' 
113,764 
123,314 
149,857 
1-392 
116 
121 ° 26 ' 
99 ° 29 ' 
111,835 
121,224 
147,317 
1-346 
1-14 
118 ° 0 ' 
97 ° 11 ' 
109,907 
119,134 
144,777 
1-300 
1 12 
114 ° 44 ' 
94 ° 55 ' 
107,979 
117,044 
142,237 
1-254 
1-10 
111 ° 36 ' 
92 ° 43 ' 
106,051 
114,954 
139,698 
1-210 
1-08 
108 ° 36 ' 
90 ° 34 ' 
104,123 
112,864 
137,158 
1-166 
1-06 
105 ° 42 ' 
88 ° 27 ' 
102,195 
110,774 
134,618 
1-124 
1-04 
102 ° 53 ' 
86 ° 21 ' 
100,266 
108,684 
132,078 
1-082 
1-02 
100 ° 10 ' 
84 ° 18 ' 
98,338 
106,593 
129,538 
1-040 
100 
180 ° 
’ O' 
97 ° 31 ' 
82 ° 17 ' 
96,410 
104,503 
126,998 
1-000 
0-98 
157 ° 
2 * 
94 ° 56 ' 
80 ° 17 ' 
94,482 
102,413 
124,458 
•960 
0-96 
147 ° 
29 ' 
92 ° 24 ' 
78 ° 20 ' 
92,554 
100,323 
121,918 
•922 
0-94 
140 ° 
6 ' 
89 ° 56 ' 
76 ° 24 ' 
90,625 
98,223 
119,378 
•884 
0-92 
133 ° 
51 ' 
87 ° 32 ' 
74 ° 30 ' 
88,697 
96,143 
116,838 
•846 
0-90 
128 ° 
19 ' 
85 ° 10 ' 
72 ° 36 ' 
86,769 
94,053 
114,298 
•810 
0-88 
123 ° 
17 ' 
82 ° 51 ' 
70 ° 44 ' 
84,841 
91,963 
111,758 
•774 
0-86 
118 ° 
38 ' 
80 ° 34 ' 
68 ° 54 ' 
82,913 
89,873 
109,218 
•740 
0-84 
114 ° 
17 ' 
78 ° 20 ' 
67 ° 6 ' 
80,984 
87,783 
106,678 
•706 
0-82 
110 ° 
10 ' 
76 ° 8 ' 
65 ° 18 ' 
79,056 
85,693 
104,138 
•672 
0-80 
106 ° 
16 ' 
73 ° 58 ' 
63 ° 31 ' 
77,128 
83,603 
101,598 
•640 
0-78 
102 ° 
31 ' 
71 ° 49 ' 
61 ° 45 ' 
75,200 
81 j 513 
99,058 
•608 
0-76 
98 ° 
56 ' 
69 ° 42 ' 
60 ° 0 ' 
' 73,272 
79,423 
96,518 
•578 
0-74 
95 ° 
28 ' 
67 ° 37 ' 
58 ° 16 ' 
71,343 
77,333 
93,979 
•548 
0-72 
92 ° 
6 ' 
65 ° 32 ' 
56 ° 32 ' 
69,415 
75,242 
91,439 
•518 
0-70 
88 ° 
51 ' 
63 ° 31 ' 
54 ° 50 ' 
67,487 
73,152 
88,899 
•490 
0-68 
85 ° 
41 ' 
61 ° 30 ' 
53 ° 9 ' 
65,559 
71,062 
86,359 
•462 
0-66 
82 ° 
36 ' 
59 ° 30 ' 
51 ° 28 ' 
63,631 
68,972 
83,819 
•436 
0-64 
79 ° 
36 ' 
57 ° 31 ' 
49 ° 48 ' 
61,702 
66,882 
81,279 
•410 
0-62 
76 ° 
38 ' 
55 ° 34 ' 
48 ° 9 ' 
59,774 
64,792 
78,739 
•384 
0-60 
73 ° 
44 ' 
53 ° 38 ' 
46 ° 30 ' 
57,846 
62,702 
76,199 
•360 
0-58 
70 ° 
54 ' 
51 ° 42 ' 
44 ° 51 ' 
55,918 
60,612 
73,659 
•336 
0-56 
68 ° 
6 ' 
49 ° 48 ' 
43 ° 14 ' 
53,990 
58,522 
71,119 
•314 
0-54 
65 ° 
22 ' 
47 ° 54 ' 
41 ° 37 ' 
52,061 
56,432 
68,579 
•292 
0-52 
62 ° 
40 ' 
46 ° 2 ' 
40 ° 0 ' 
50,133 
54,342 
66,039 
•270 
0-50 
60 ° 
O' 
44 ° 10 ' 
38 ° 24 ' 
48,205 
52,252 
63,499 
•250 
0-45 
53 ° 
30 ' 
39 ° 33 ' 
34 ° 27 ' 
43,385 
47,026 
57,149 
•203 
0-40 
47 ° 
9 ' 
35 ° 0 ' 
30 ° 31 ' 
38,564 
41,801 
50,799 
•160 
0 35 
40 ° 
58 ' 
30 ° 30 ' 
26 ° 38 ' 
33,744 
36,576 
44,449 
•123 
0-30 
34 ° 
56 ' 
26 ° 4 ' 
22 ° 46 ' 
28,923 
31,351 
38,099 
•090 
0 25 
28 ° 
58 ' 
21 ° 40 ' 
18 ° 56 ' 
24,103 
26,126 
31,749 
•063 
0-20 
23 ° 
4 ' 
17 ° 18 ' 
15 ° 7 ' 
19,282 
20,901 
25,400 
•040 
0 15 
17 ° 
14 ' 
12 ° 58 ' 
11 ° 19 ' 
14,462 
15,676 
19,050 
•023 
010 
11 ° 
29 ' 
8 ° 38 ' 
7 ° 34 ' 
9,641 
10,450 
12,700 
•010 
005 
5 ° 
44 ' 
4 ° 18 ' 
3 ° 46 ' 
4,821 
5,252 
6,350 
•003 
I Peno- 
!g| tratlng 
Power 
. 0 
658 
*662 
•067 
•671 
’676 
•680 
•685 
•690 
•694 
*694 
•709 
•709 
•714 
•719 
•725 
•729 
*735 
•741 
•746 
•752 
•758 
•769 
•781 
•794 
•806 
•820 
•833 
*847 
•862 
*877 
•893 
•909 
*926 
•943 
•962 
•980 
1-000 
1-020 
1*042 
1*064 
1-087 
1111 
1136 
1163 
1-190 
1-220 
1-250 
1-282 
1-316 
1-351 
1-389 
1-429 
1-471 
1-515 
1-562 
1-613 
1-667 
1-724 
1-786 
1-852 
1 - 923 
2 - 000 
2-222 
2-500 
2 - 857 
3 - 333 
4 - 000 
5 - 000 
6 - 667 
10-000 
20-000 
