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Table 2

Photon proper number density as a function of redshift.

z = 1.2 z = 1.4 z = 1.6 z = 1.8 z = 2.0

log ϵ a b log ϵ log ϵ log ϵ log ϵ

–2.492 –0.009528 –2.455 0.06558 –2.42 0.1156 –2.388 0.1517 –2.358 0.1703
–2.262 0.5224 –2.224 0.5691 –2.189 0.5894 –2.157 0.5977 –2.127 0.5902
–2.107 0.6874 –2.069 0.703 –2.035 0.699 –2.002 0.6874 –1.972 0.6629
–1.961 0.6968 –1.923 0.6931 –1.888 0.6682 –1.856 0.6348 –1.826 0.5884
–1.793 0.5403 –1.756 0.5013 –1.721 0.4496 –1.689 0.3883 –1.659 0.3084
–1.709 0.3402 –1.671 0.2794 –1.637 0.2068 –1.604 0.1348 –1.574 0.05805
–1.604 0.05614 –1.567 –0.003532 –1.532 –0.06778 –1.5 –0.1286 –1.47 –0.1946
–1.517 –0.177 –1.48 –0.2301 –1.445 –0.2892 –1.413 –0.3518 –1.383 –0.4279
–1.438 –0.3861 –1.4 –0.4394 –1.366 –0.4999 –1.333 –0.5591 –1.303 –0.6229
–1.408 –0.4646 –1.37 –0.5127 –1.336 –0.5672 –1.303 –0.6211 –1.273 –0.6834
–1.341 –0.5952 –1.303 –0.6364 –1.269 –0.6799 –1.236 –0.7261 –1.206 –0.7836
–1.165 –0.9404 –1.127 –0.9714 –1.093 –1.005 –1.06 –1.027 –1.03 –1.068
–1.04 –1.101 –1.002 –1.132 –0.9678 –1.189 –0.9355 –1.225 –0.9055 –1.228
–0.961 –1.237 –0.9234 –1.208 –0.8884 –1.174 –0.8564 –1.179 –0.8262 –1.24
–0.8642 –1.256 –0.8262 –1.274 –0.7916 –1.343 –0.7595 –1.451 –0.7293 –1.569
–0.7392 –1.69 –0.7014 –1.831 –0.6666 –1.936 –0.6343 –2.016 –0.6045 –2.058
–0.6423 –2.04 –0.6045 –2.088 –0.5698 –2.081 –0.5375 –2.068 –0.5075 –2.069
–0.5173 –2.158 –0.4795 –2.168 –0.4448 –2.18 –0.4125 –2.19 –0.3826 –2.215
–0.4661 –2.127 –0.4283 –2.135 –0.3936 –2.143 –0.3614 –2.144 –0.3314 –2.159
–0.3891 –2.057 –0.3513 –2.054 –0.3166 –2.048 –0.2844 –2.042 –0.2545 –2.066
–0.3265 –1.989 –0.2887 –1.979 –0.2539 –1.985 –0.2217 –2.001 –0.1918 –2.037
–0.2162 –1.911 –0.1785 –1.932 –0.1437 –1.965 –0.1115 –2.006 –0.08155 –2.062
–0.1194 –1.928 –0.08155 –1.967 –0.04677 –2.005 –0.01462 –2.041 0.01536 –2.09
–0.04015 –1.973 –0.002395 –2.003 0.03222 –2.036 0.06446 –2.078 0.09447 –2.132
0.2066 –2.17 0.2443 –2.184 0.279 –2.204 0.3113 –2.234 0.3412 –2.272
0.323 –2.305 0.3608 –2.328 0.3955 –2.365 0.4278 –2.418 0.4577 –2.494
0.437 –2.569 0.4748 –2.632 0.5095 –2.683 0.5417 –2.706 0.5717 –2.724
0.5339 –2.827 0.5717 –2.818 0.6064 –2.81 0.6386 –2.803 0.6686 –2.801
0.6966 –2.907 0.7344 –2.846 0.7692 –2.798 0.8013 –2.764 0.8313 –2.749
0.8349 –3.028 0.8727 –2.989 0.9075 –2.969 0.9396 –2.978 0.9696 –3.022
1.136 –3.777 1.174 –3.666 1.208 –3.577 1.241 –3.531 1.271 –3.504

Notes.

(a)

Photon energies ϵ are in eV.

(b)

Photon densities are in cm-3.

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