Spring Constant in Hooke's Law

[SANGEETAMILIND]

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

 

[nasu]

Do you have a reference for that equation? The units don't seem to match.

 

[SANGEETAMILIND]

Do you have a reference for that equation? The units don't seem to match.

I found the equation here...
https://www.physicsforums.com/threads/factors-affecting-the-spring-constant.165802/

 

[SANGEETAMILIND]

I am searching for the factors on which spring constant depends...