Free Matter Density Parameter Calculator

Calculate the matter density parameter Omega_m = rho_m / rho_crit, indicating what fraction of the critical density is made up of matter.

kg/m³
kg/m³

Matter Density Parameter (Omega_m)

0.279831

As Percentage27.983 %

Matter Density Parameter (Omega_m) vs Matter Density (rho_m)

How the Matter Density Parameter Is Found

The density parameter Omega_m tells us the fraction of the universe's critical density that is in the form of matter.

Formula

Omega_m = rho_m / rho_crit

  • *rho_m* is the average matter density
  • *rho_crit* is the critical density
  • If Omega_total = 1 the universe is geometrically flat. Current measurements give Omega_m about 0.31.

    Example Calculation

    With rho_m = 2.65e-27 kg/m³ and rho_crit = 9.47e-27 kg/m³.

    1. 01Omega_m = rho_m / rho_crit
    2. 02Omega_m = 2.65e-27 / 9.47e-27
    3. 03Omega_m ≈ 0.2799

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