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Conversion tables
To compare psychophysics with electrophysiological experiments and to interpret the findings in terms of underlying anatomical structures and physiological mechanisms, it is useful to have convenient means of converting back and forth between photometric quantities and such things as the density of retinal illumination, or the rate of quantal absorptions within the receptors. Tables 53.1 and 53.2 provide such information. These tables and the rationale for the entries have been published previously (Makous, 1997), but they are reproduced here for readers' convenience and to correct errors in the original.
Table 53.1 : Rod conversions.
| Troland | cd m−2, 2 mm p. | cd m−2, d mm p. | q str s−1 on ret. | q deg s−1 on ret. | q mm−2 s−1 on ret. | q µm−2 s−1 on ret. | q s−1 Rod, Abs. | q s−1 Rod, Act. | mac. Td | Cat Td |
| 1 Troland = | 1 | 0.318 | 1.273 d−2 | 8.99E+8 | 2.74E+5 | 3.23E+6 | 3.230 | 6.460 | 4.310 | 0.588 | 0.600 |
| 1 cd m−2, 2-mm p. = | 3.142 | 1 | 0.250 d2 | 2.82E+9 | 8.60E+5 | 1.01E+7 | 10.147 | 20.295 | 13.540 | 1.848 | 1.885 |
| 1 cd m−2, d-mm p. = | 0.785 d2 | 4 d−2 | 1 | 1.14E+9 d2 | 3.49E+5 d2 | 4.11E+6 d2 | 4.11 d2 | 8.22 d2 | 5.49 d2 | 0.749 d2 | 0.76 d2 |
| 1 q str−1 s−1 = | 1.11E−9 | 3.54E−10 | 8.77E−10 d−2 | 1 | 3.05E−4 | 3.59E−3 | 3.59E−9 | 7.19E−9 | 4.79E−9 | 6.54E−10 | 6.67E−10 |
| 1 q deg−2 s−1 = | 3.65E−6 | 1.16E−6 | 2.87E−06 d−2 | 3.28E+3 | 1 | 1.18E+1 | 1.18E−5 | 2.36E−5 | 1.57E−5 | 2.15E−6 | 2.19E−6 |
| 1 q mm−2 s−1 = | 3.10E−7 | 9.85E−8 | 2.43E−07 d−2 | 2.78E+2 | 8.48E−2 | 1 | 1.00E−6 | 2.00E−6 | 1.33E−6 | 1.82E−7 | 1.86E−7 |
| 1 q µm−2 s−1 = | 0.310 | 0.099 | 0.243 d−2 | 2.78E+8 | 8.48E+4 | 1.00E+6 | 1 | 2.000 | 1.334 | 0.182 | 0.186 |
| 1 q s−1/rod abs. = | 0.155 | 0.049 | 0.188 d−2 | 1.39E+8 | 4.24E+4 | 5.00E+5 | 0.500 | 1 | 0.667 | 0.091 | 0.093 |
| 1 q s−1/rod, act. = | 0.232 | 0.074 | 0.182 d−2 | 2.09E+8 | 6.35E+4 | 7.49E+5 | 0.749 | 1.499 | 1 | 0.136 | 0.139 |
| 1 mac. Td = | 1.700 | 0.541 | 1.335 d−2 | 1.53E+9 | 4.66E+5 | 5.49E+6 | 5.491 | 10.982 | 7.327 | 1 | 1.020 |
| 1 cat Td = | 1.667 | 0.531 | 1.308 d−2 | 1.50E+9 | 4.56E+5 | 5.38E+6 | 5.383 | 10.767 | 7.183 | 0.980 | 1 |
Table 53.2 : Cone conversions.
| Troland | cd m−2, 2 mm Pupil | cd m−2, d mm Pupil | q str−1 s−1 on Retina | q deg s−1 on Retina | q mm−2 s−1 on Retina | q µm−2 s−1 on Retina | q s−1 Cone Abs. | q s−1 Cone, Act. | Mac. Td | Cat Td |
| 1 Troland = | 1 | 0.318 | 1.273 d−2 | 2.62E+9 | 7.98E+5 | 9.41E+6 | 9.410 | 16.610 | 11.080 | 0.588 | 0.600 |
| 1 cd m−2, 2 mm p. = | 3.142 | 1 | 0.250 d2 | 8.23E+9 | 2.51E+6 | 2.96E+7 | 29.562 | 52.182 | 34.809 | 1.848 | 1.885 |
| 1 cd m−2, d mm p. = | 0.785 d2 | 4 d−2 | 1 | 3.33E+9 d | 1.02E6 d | 1.20E+7 d | 11.98 d | 18.81 d2 | 12.55 dd2 | 0.749 dd2 | 0.76 dd2 |
| 1 q str−1 s−1 = | 3.82E−10 | 1.22E−10 | 3.00E−10 d−2 | 1 | 3.05E−4 | 3.59E−3 | 3.59E−9 | 6.34E−9 | 4.23E−9 | 2.25E−10 | 2.29E−10 |
| 1 q deg−2 s−1 = | 1.25E−6 | 3.99E−7 | 9.84E−07 d−2 | 3.28E+3 | 1 | 1.18E+1 | 1.18E−5 | 2.08E−5 | 1.39E−5 | 7.37E−7 | 7.52E−7 |
| 1 q mm−2 s−1 = | 1.06E−7 | 3.38E−8 | 8.43E−08 d−2 | 2.78E+2 | 8.48E−2 | 1 | 1.00E−6 | 1.77E−6 | 1.18E−6 | 6.25E−8 | 6.38E−8 |
| 1 q mm−2 s−1 = | 0.106 | 0.034 | 0.083 d−2 | 2.78E+8 | 8.48E+4 | 1.00E+6 | 1 | 1.765 | 1.177 | 0.063 | 0.064 |
| 1 q s−1/cone, abs. = | 0.060 | 0.019 | 0.053 d−2 | 1.58E+8 | 4.80E+4 | 5.67E+5 | 0.567 | 1 | 0.667 | 0.035 | 0.036 |
| 1 q s−1/cone, act. = | 0.090 | 0.029 | 0.080 d−2 | 2.36E+8 | 7.20E+4 | 8.49E+5 | 0.849 | 1.499 | 1 | 0.053 | 0.054 |
| 1 mac. Td = | 1.700 | 0.541 | 1.335 d−2 | 4.45E+9 | 1.36E+6 | 1.60E+7 | 15.997 | 28.237 | 18.836 | 1 | 1.020 |
| 1 cat Td = | 1.667 | 0.531 | 1.308 d−2 | 4.36E+9 | 1.33E+6 | 1.57E+7 | 15.683 | 27.683 | 18.467 | 0.980 | 1 |
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