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2014-12-17T21:31:31+05:30

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Nuclear density is the mass density of nucleus of an atom of an element.

Mass M = m * A,
           m = mass of a nucleon , = 1.67 * 10^-27 kg 
            A = mass number of an atom (nucleus)
                 = total of numbers of protons and neutrons in the nucleus)
      
  Volume V = 4/3 π R³,      where R = radius of nucleus
 
  Nuclear density = ρ = M/V = m A / 4/3πR³ 

         R is written as ,  R = A^¹/³ * R₀   or,   R³ = A * R₀³ ,
           Where R₀ = mean atomic radius for single nucleon (proton) nucleus.

Then  nuclear density  = ρ = 3 m / (4π R₀³)

              R₀ = for hydrogen atom, for example, 1.25 * 10^-15 meter = 1.25 fm.
Substituting the values for m and R₀, we get,

     approximately,   ρ = 2.04 * 10^17 kg/m³ 

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