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Spring Constant in Hooke's Law

  1. Jan 19, 2016 #1
    How does one arrive at the following equation to approximate spring constant for solids... using Hooke's Law
    F ∝-x ⇒ F = -kx
    and strain∝stress
    ?

    k = (m/a2) × (K/ρ)½

    where

    k≡spring constant
    m ≡ mass of a single atom
    a ≡ atomic spacing
    K ≡ bulk modulus
    ρ ≡ density
     
  2. jcsd
  3. Jan 19, 2016 #2
    Do you have a reference for that equation? The units don't seem to match.
     
  4. Jan 19, 2016 #3
  5. Jan 19, 2016 #4
    I am searching for the factors on which spring constant depends...
     
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