Critical Density of the Universe

ρc=8.53×10−27 kg/m3\rho_c = 8.53 \times 10^{-27}\ \text{kg/m}^{3}
Value8.53e-27 kg/m³
StatusMeasured: ± 1.30e-28 kg/m³ (0.015 relative)
SourceDerived from the Planck 2018 H₀ and CODATA 2022 G
CategoriesAstronomical
Critical Density of the Universe in every density unit
microgram per liter8.5300000e-21 μg/L
milligram per cubic meter8.5300000e-21 mg/m³
milligram per liter8.5300000e-24 mg/L
pound per cubic yard1.4377784e-26 lb/yd³
kilogram per cubic meter8.5300000e-27 kg/m³
gram per liter8.5300000e-27 g/L
pound per cubic foot5.3251050e-28 lb/ft³
pound per imperial gallon8.5491182e-29 lb/imp gal
pound per US gallon7.1186300e-29 lb/gal
slug per cubic foot1.6550932e-29 slug/ft³
gram per cubic centimeter8.5300000e-30 g/cm³
gram per milliliter8.5300000e-30 g/mL
kilogram per liter8.5300000e-30 kg/L
tonne per cubic meter8.5300000e-30 t/m³
US short ton per cubic yard7.1888918e-30 ton/yd³
pound per cubic inch3.0816580e-31 lb/in³

Learning zone

The critical density is the dividing line in Friedmann's equations between a universe that expands forever and one that recollapses, and it is absurdly small: five hydrogen atoms in a cubic metre, a vacuum far better than any laboratory can produce. Measurements of the microwave background show the universe sits at that value to within a fraction of a per cent, so space is flat on the largest scales — which is what the theory of inflation predicts.

What supplies the density is the surprise. Ordinary atoms account for only about 5 per cent of it, dark matter for 27 per cent, and dark energy for the remaining 68 per cent. The value scales as H₀², so it inherits the Hubble tension: pick the distance-ladder H₀ instead of the microwave-background one and the critical density rises by about 17 per cent.