Critical Density of the Universe

ρc=8.53×10−27 kg/m3\rho_c = 8.53 \times 10^{-27}\ \text{kg/m}^{3}
Value8.53 × 10⁻²⁷ kg/m³
StatusMeasured: ± 1.3 × 10⁻²⁸ kg/m³ (1.5 % relative), standard uncertainty
SourceDerived from the Planck 2018 H₀ and CODATA 2022 G
CategoriesAstronomical
Critical Density of the Universe in every density unit
UnitValue
kilogram per cubic meter8.5300000e-27 kg/m³
15 more density units
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
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.

Revised 16 October 2026
Cite this page

formula.expert. (2026, October 16). Critical Density of the Universe. https://formula.expert/constants/critical-density-universe