Space Telescope Science Institute  B.2 Formulae B.4 Examples

B.3 Look-up Tables


In this section we provide look-up tables to facilitate rapid, approximate conversion between the different systems mentioned in the preceding section.

For both integrated source fluxes and surface brightnesses, we provide tables of conversions between systems at the wavelengths of the four commonly used photometric bands, which cover the NICMOS operating waveband of 0.8-2.5 microns. We are adopting here the CIT system defined in Table B.2.

Using Table B.3, it is possible to estimate the CIT magnitude corresponding to any flux in Jy by using the property that multiplying or dividing the flux by one hundred adds or subtracts five magnitudes.

Table B.3: F to Magnitude Conversion.
F [Jy]
I
J
H
K
10.0
5.88
5.56
4.98
4.48
8.0
6.12
5.80
5.22
4.72
6.0
6.44
6.11
5.53
5.04
5.0
6.63
6.31
5.73
5.23
4.0
6.88
6.55
5.97
5.48
3.0
7.19
6.86
6.29
5.79
2.5
7.39
7.06
6.48
5.99
2.0
7.63
7.30
6.73
6.23
1.5
7.94
7.62
7.04
6.54
1.25
8.14
7.81
7.24
6.74
1.0
8.38
8.06
7.48
6.98
0.8
8.62
8.30
7.72
7.22
0.6
8.94
8.61
8.03
7.54
0.5
9.13
8.81
8.23
7.73
0.4
9.38
9.05
8.47
7.98
0.3
9.69
9.36
8.79
8.29
0.25
9.89
9.57
8.98
8.49
0.2
10.13
9.8
9.23
8.73
0.15
10.44
10.12
9.54
9.04
0.125
10.64
10.31
9.74
9.24
0.1
10.88
10.56
9.98
9.48


Table B.4: I-Band Flux Conversion.  
F
[Jy]
I
[mag]
F
[Wm-2µm-1]
F
[W cm-2µm-1]
F
[erg s-1 cm-2 Å-1]
2250
0.0
8.32×10-9
8.32×10-13
8.32×10-10
894
1.0
3.312×10-9
3.312×10-13
3.312×10-10
356
2.0
1.319×10-9
1.319×10-13
1.319×10-10
142
3.0
5.25×10-10
5.25×10-14
5.25×10-11
56.4
4.0
2.09×10-10
2.09×10-14
2.09×10-11
22.5
5.0
8.32×10-11
8.32×10-15
8.32×10-12
8.94
6.0
3.312×10-11
3.312×10-15
3.312×10-12
3.56
7.0
1.319×10-11
1.319×10-15
1.319×10-12
1.42
8.0
5.25×10-12
5.25×10-16
5.25×10-13
0.564
9.0
2.09×10-12
2.09×10-16
2.09×10-13
0.225
10.0
8.32×10-13
8.32×10-17
8.32×10-14
0.0894
11.0
3.312×10-13
3.312×10-17
3.312×10-14
0.0356
12.0
1.319×10-13
1.319×10-17
1.319×10-14
0.0142
13.0
5.25×10-14
5.25×10-18
5.25×10-15
0.00564
14.0
2.09×10-14
2.09×10-18
2.09×10-15
0.00225
15.0
8.32×10-15
8.32×10-19
8.32×10-16
8.94×10-4
16.0
3.312×10-15
3.312×10-19
3.312×10-16
3.56×10-4
17.0
1.319×10-15
1.319×10-19
1.319×10-16
1.42×10-4
18.0
5.25×10-16
5.25×10-20
5.25×10-17
5.64×10-5
19.0
2.09×10-16
2.09×10-20
2.09×10-17
2.25×10-5
20.0
8.32×10-17
8.32×10-21
8.32×10-18
8.94×10-6
21.0
3.312×10-17
3.312×10-21
3.312×10-18
3.56×10-6
22.0
1.319×10-17
1.319×10-21
1.319×10-18
1.42×10-6
23.0
5.25×10-18
5.25×10-22
5.25×10-19
5.64×10-7
24.0
2.09×10-18
2.09×10-22
2.09×10-19
2.25×10-7
25.0
8.32×10-19
8.32×10-23
8.32×10-20
8.94×10-8
26.0
3.312×10-19
3.312×10-23
3.312×10-20


Table B.5: J-band Flux Conversion.
F
[Jy]
J
[mag]
F
[Wm-2µm-1]
F
[Wcm-2µm-1]
F
[erg cm-2s-1Å-1]
1670
0.0
3.21×10-9
3.21×10-13
3.21×10-10
665
1.0
1.28×10-9
1.28×10-13
1.28×10-10
265
2.0
5.08×10-10
5.08×10-14
5.08×10-11
106
3.0
2.02×10-10
2.02×10-14
2.02×10-11
42.0
4.0
8.06×10-11
8.06×10-15
8.06×10-12
16.7
5.0
3.21×10-11
3.21×10-15
3.21×10-12
6.65
6.0
1.28×10-11
1.28×10-15
1.28×10-12
2.65
7.0
5.08×10-12
5.08×10-16
5.08×10-13
1.06
8.0
2.02×10-12
2.02×10-16
2.02×10-13
0.420
9.0
8.06×10-13
8.06×10-17
8.06×10-14
0.167
10.0
3.21×10-13
3.21×10-17
3.21×10-14
0.0665
11.0
1.28×10-13
1.28×10-17
1.28×10-14
0.0265
12.0
5.08×10-14
5.08×10-18
5.08×10-15
0.0106
13.0
2.02×10-14
2.02×10-18
2.02×10-15
0.00420
14.0
8.06×10-15
8.06×10-19
8.06×10-16
0.00167
15.0
3.21×10-15
3.21×10-19
3.21×10-16
6.65×10-4
16.0
1.28×10-15
1.28×10-19
1.28×10-16
2.65×10-4
17.0
5.08×10-16
5.08×10-20
5.08×10-17
1.06×10-4
18.0
2.02×10-16
2.02×10-20
2.02×10-17
4.20×10-5
19.0
8.06×10-17
8.06×10-21
8.06×10-18
1.67×10-5
20.0
3.21×10-17
3.21×10-21
3.21×10-18
6.65×10-6
21.0
1.28×10-17
1.28×10-21
1.28×10-18
2.65×10-6
22.0
5.08×10-18
5.08×10-22
5.08×10-19
1.06×10-6
23.0
2.02×10-18
2.02×10-22
2.02×10-19
4.20×10-7
24.0
8.06×10-19
8.06×10-23
8.06×10-20
1.67×10-7
25.0
3.21×10-19
3.21×10-23
3.21×10-20
6.65×10-8
26.0
1.28×10-19
1.28×10-23
1.28×10-20


Table B.6: H-band Flux Conversion.
F
[Jy]
H
[mag]
F
[Wm-2µm-1]
F
[Wcm-2µm-1]
F
[erg s-1cm-2Å-1]
980
0.0
1.08×10-9
1.08×10-13
1.08×10-10
390
1.0
4.3×10-10
4.3×10-14
4.3×10-11
155
2.0
1.712×10-10
1.712×10-14
1.712×10-11
61.8
3.0
6.814×10-11
6.814×10-15
6.814×10-12
24.6
4.0
2.713×10-11
2.713×10-15
2.713×10-12
9.8
5.0
1.08×10-11
1.08×10-15
1.08×10-12
3.9
6.0
4.3×10-12
4.3×10-16
4.3×10-13
1.55
7.0
1.712×10-12
1.712×10-16
1.712×10-13
0.618
8.0
6.814×10-13
6.814×10-17
6.814×10-14
0.246
9.0
2.713×10-13
2.713×10-17
2.713×10-14
0.098
10.0
1.08×10-13
1.08×10-17
1.08×10-14
0.039
11.0
4.3×10-14
4.3×10-18
4.3×10-15
0.0155
12.0
1.712×10-14
1.712×10-18
1.712×10-15
0.00618
13.0
6.814×10-15
6.814×10-19
6.814×10-16
0.00246
14.0
2.713×10-15
2.713×10-19
2.713×10-16
9.8×10-4
15.0
1.08×10-15
1.08×10-19
1.08×10-16
3.9×10-4
16.0
4.3×10-16
4.3×10-20
4.3×10-17
1.55×10-4
17.0
1.712×10-16
1.712×10-20
1.712×10-17
6.18×10-5
18.0
6.814×10-17
6.814×10-21
6.814×10-18
2.46×10-5
19.0
2.713×10-17
2.713×10-21
2.713×10-18
9.8×10-6
20.0
1.08×10-17
1.08×10-21
1.08×10-18
3.9×10-6
21.0
4.3×10-18
4.3×10-22
4.3×10-19
1.55×10-6
22.0
1.712×10-18
1.712×10-22
1.712×10-19
6.18×10-7
23.0
6.814×10-19
6.814×10-23
6.814×10-20
2.46×10-7
24.0
2.713×10-19
2.713×10-23
2.713×10-20
9.8×10-8
25.0
1.08×10-19
1.08×10-23
1.08×10-20
3.9×10-8
26.0
4.3×10-20
4.3×10-24
4.3×10-21


Table B.7: K-band Flux Conversion.
F
[Jy]
K
[mag]
F
[Wm-2µm-1]
F
[Wcm-2µm-1]
F
[erg s-1cm-2Å-1]
620
0.0
3.84×10-10
3.84×10-14
3.84×10-11
247
1.0
1.53×10-10
1.53×10-14
1.53×10-11
98.3
2.0
6.09×10-11
6.09×10-15
6.09×10-12
39.1
3.0
2.43×10-11
2.43×10-15
2.43×10-12
15.6
4.0
9.66×10-12
9.66×10-16
9.66×10-13
6.20
5.0
3.84×10-12
3.84×10-16
3.84×10-13
2.47
6.0
1.53×10-12
1.53×10-16
1.53×10-13
0.983
7.0
6.09×10-13
6.09×10-17
6.09×10-14
0.391
8.0
2.43×10-13
2.43×10-17
2.43×10-14
0.156
9.0
9.66×10-14
9.66×10-18
9.66×10-15
0.0620
10.0
3.84×10-14
3.84×10-18
3.84×10-15
0.0247
11.0
1.53×10-14
1.53×10-18
1.53×10-15
0.00983
12.0
6.09×10-15
6.09×10-19
6.09×10-16
0.00391
13.0
2.43×10-15
2.43×10-19
2.43×10-16
0.00156
14.0
9.66×10-16
9.66×10-20
9.66×10-17
6.20×10-4
15.0
3.84×10-16
3.84×10-20
3.84×10-17
2.47×10-4
16.0
1.53×10-16
1.53×10-20
1.53×10-17
9.83×10-5
17.0
6.09×10-17
6.09×10-21
6.09×10-18
3.91×10-5
18.0
2.43×10-17
2.43×10-21
2.43×10-18
1.56×10-5
19.0
9.66×10-18
9.66×10-22
9.66×10-19
6.20×10-6
20.0
3.84×10-18
3.84×10-22
3.84×10-19
2.47×10-6
21.0
1.53×10-18
1.53×10-22
1.53×10-19
9.83×10-7
22.0
6.09×10-19
6.09×10-23
6.09×10-20
3.91×10-7
23.0
2.43×10-19
2.43×10-23
2.43×10-20
1.56×10-7
24.0
9.66×10-20
9.66×10-24
9.66×10-21
6.20×10-8
25.0
3.84×10-20
3.84×10-24
3.84×10-21
2.47×10-8
26.0
1.53×10-20
1.53×10-24
1.53×10-21


Table B.8: Surface Brightness Conversion.
mag /
arcsec2
I-Band
J-Band
H-Band
K-Band
Jy /
arcsec2
MJy /
steradian
Jy /
arcsec2
MJy /
steradian
Jy /
arcsec2
MJy /
steradian
Jy /
arcsec2
MJy /
steradian
0.0
0.6251
2.66×104
0.4630
1.97×104
0.2726
1.16×104
0.1720
7320
1.0
0.2491
1.06×104
0.1847
7860
0.1083
4610
0.0688
2930
2.0
0.0989
4210
0.0736
3130
0.0430
1830
0.0273
1160
3.0
0.0395
1680
0.0294
1250
0.0172
730
0.0109
462
4.0
0.0157
667
0.0117
496
0.0068
291
0.0043
184
5.0
0.0062
266
0.0046
197
0.0027
116
0.0172
732
6.0
0.0025
106
0.0018
78.6
0.0011
46.1
6.88×10-4
29.3
7.0
9.89×10-4
42.1
7.36×10-4
31.3
4.30×10-4
18.3
2.73×10-4
11.6
8.0
3.95×10-4
16.8
2.94×10-4
12.5
1.72×10-4
7.3
1.09×10-4
4.62
9.0
1.57×10-4
6.67
1.17×10-4
4.96
6.84×10-5
2.91
4.32×10-5
1.84
10.0
6.25×10-5
2.66
4.63×10-5
1.97
2.73×10-5
1.16
1.72×10-5
0.732
11.0
2.49×10-5
1.06
1.85×10-5
0.786
1.08×10-5
0.461
6.88×10-6
0.293
12.0
9.89×10-6
0.421
7.36×10-6
0.313
4.30×10-6
0.183
2.73×10-7
0.116
13.0
3.95×10-6
0.168
2.94×10-6
0.125
1.72×10-6
0.073
1.09×10-7
0.0462
14.0
1.57×10-6
0.0667
1.17×10-6
0.0496
6.84×10-7
0.0291
4.32×10-8
0.0184
15.0
6.25×10-7
0.0266
4.63×10-7
0.0197
2.73×10-7
0.0116
1.72×10-8
0.00732
16.0
2.49×10-7
0.0106
1.85×10-7
0.00786
1.08×10-7
0.00461
6.88×10-9
0.00293
17.0
9.89×10-8
0.00421
7.36×10-8
0.00313
4.30×10-8
0.00183
2.73×10-9
0.00116
18.0
3.95×10-8
0.00168
2.94×10-8
0.00125
1.72×10-8
7.3×10-4
1.09×10-9
4.62×10-4
19.0
1.57×10-8
6.67×10-4
1.17×10-8
4.96×10-4
6.84×10-9
2.91×10-4
4.32×10-10
1.84×10-4
20.0
6.25×10-9
2.66×10-4
4.63×10-9
1.97×10-4
2.73×10-9
1.16×10-4
1.72×10-10
7.32×10-5
21.0
2.49×10-9
1.06×10-4
1.85×10-9
7.86×10-5
1.08×10-9
4.61×10-5
6.88×10-11
2.93×10-5
22.0
9.89×10-10
4.21×10-5
7.36×10-10
3.13×10-5
4.30×10-10
1.83×10-5
2.73×10-11
1.16×10-5
23.0
3.95×10-10
1.68×10-5
2.94×10-10
1.25×10-5
1.72×10-10
7.3×10-6
1.09×10-11
4.62×10-6
24.0
1.57×10-10
6.67×10-6
1.17×10-10
4.96×10-6
6.84×10-11
2.91×10-6
4.32×10-12
1.84×10-6
25.0
6.25×10-11
2.66×10-6
4.63×10-11
1.97×10-6
2.73×10-11
1.16×10-6
1.72×10-12
7.32×10-7
26.0
2.49×10-11
1.06×10-6
1.85×10-11
7.86×10-7
1.08×10-11
4.61×10-7
6.88×10-13
2.93×10-7


B.2 Formulae B.4 Examples
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