Table 10.

Summary of the updated space density calculation following the method of Burningham et al. (2010b) for our J < 18.8 sample of ≥T6 dwarfs. Nc refers to corrected numbers based on the sample corrections described in the text, with maximum and minimum values arising from the different possible binary corrections. The values of MJ used to calculate the distance limit and volume probed for each type were calculated using the polynomial relations in MJ versus spectral type derived by Dupuy & Liu (2012). The uncertainties in MJ reflect the rms scatter about the Dupuy & Liu (2012) polynomials. The uncertainties in the computed space densities reflect the volume uncertainty that arises from the uncertainty in MJ and Poisson noise in our sample. The minimum and maximum space densities reflect the range encompassed by likely binary fractions (see the text and Burningham et al. 2010b). The latest spectral types are on the Cushing et al. (2011) system.

TypeTeff rangeNNc(min)Nc(max)MJ(MKO)Range (pc)Volume (pc3)ρmin (10−3 pc−3)ρmax (10−3 pc−3)
T6–6.5900–1050 K4019.4 ± 3.135.6 ± 5.714.90 ± 0.3960 ± 1150 400 ± 27 1000.39 ± 0.220.71 ± 0.40
T7–7.5800–900 K2110.0 ± 2.218.5 ± 4.015.65 ± 0.3943 ± 818 000 ± 97000.56 ± 0.321.02 ± 0.64
T8–8.5500–800 K176.7 ± 1.812.3 ± 3.316.75 ± 0.3926 ± 53900 ± 21002.05 ± 1.213.79 ± 2.24
TypeTeff rangeNNc(min)Nc(max)MJ(MKO)Range (pc)Volume (pc3)ρmin (10−3 pc−3)ρmax (10−3 pc−3)
T6–6.5900–1050 K4019.4 ± 3.135.6 ± 5.714.90 ± 0.3960 ± 1150 400 ± 27 1000.39 ± 0.220.71 ± 0.40
T7–7.5800–900 K2110.0 ± 2.218.5 ± 4.015.65 ± 0.3943 ± 818 000 ± 97000.56 ± 0.321.02 ± 0.64
T8–8.5500–800 K176.7 ± 1.812.3 ± 3.316.75 ± 0.3926 ± 53900 ± 21002.05 ± 1.213.79 ± 2.24
Table 10.

Summary of the updated space density calculation following the method of Burningham et al. (2010b) for our J < 18.8 sample of ≥T6 dwarfs. Nc refers to corrected numbers based on the sample corrections described in the text, with maximum and minimum values arising from the different possible binary corrections. The values of MJ used to calculate the distance limit and volume probed for each type were calculated using the polynomial relations in MJ versus spectral type derived by Dupuy & Liu (2012). The uncertainties in MJ reflect the rms scatter about the Dupuy & Liu (2012) polynomials. The uncertainties in the computed space densities reflect the volume uncertainty that arises from the uncertainty in MJ and Poisson noise in our sample. The minimum and maximum space densities reflect the range encompassed by likely binary fractions (see the text and Burningham et al. 2010b). The latest spectral types are on the Cushing et al. (2011) system.

TypeTeff rangeNNc(min)Nc(max)MJ(MKO)Range (pc)Volume (pc3)ρmin (10−3 pc−3)ρmax (10−3 pc−3)
T6–6.5900–1050 K4019.4 ± 3.135.6 ± 5.714.90 ± 0.3960 ± 1150 400 ± 27 1000.39 ± 0.220.71 ± 0.40
T7–7.5800–900 K2110.0 ± 2.218.5 ± 4.015.65 ± 0.3943 ± 818 000 ± 97000.56 ± 0.321.02 ± 0.64
T8–8.5500–800 K176.7 ± 1.812.3 ± 3.316.75 ± 0.3926 ± 53900 ± 21002.05 ± 1.213.79 ± 2.24
TypeTeff rangeNNc(min)Nc(max)MJ(MKO)Range (pc)Volume (pc3)ρmin (10−3 pc−3)ρmax (10−3 pc−3)
T6–6.5900–1050 K4019.4 ± 3.135.6 ± 5.714.90 ± 0.3960 ± 1150 400 ± 27 1000.39 ± 0.220.71 ± 0.40
T7–7.5800–900 K2110.0 ± 2.218.5 ± 4.015.65 ± 0.3943 ± 818 000 ± 97000.56 ± 0.321.02 ± 0.64
T8–8.5500–800 K176.7 ± 1.812.3 ± 3.316.75 ± 0.3926 ± 53900 ± 21002.05 ± 1.213.79 ± 2.24
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