${\displaystyle \kappa =-{\frac {1}{V)){\frac {dV}{dp))}$

${\displaystyle \theta =-\kappa \,\Delta p}$

${\displaystyle V=V_{0}(1-\kappa \,\Delta p)}$

${\displaystyle K={\frac {1}{\kappa ))=-V{\frac {\partial p}{\partial V))}$

${\displaystyle K_{T}=V\left({\frac {\partial ^{2}F(T,V)}{\partial V^{2))}\right)_{T))$

${\displaystyle K_{S}=V\left({\frac {\partial ^{2}U(S,V)}{\partial V^{2))}\right)_{S))$

${\displaystyle K={\dfrac {E}{3(1-2\nu )))}$

${\displaystyle K=\lambda +{\frac {2}{3))\mu }$

${\displaystyle \kappa _{T}=-{\frac {1}{V))\left({\frac {\partial V}{\partial p))\right)_{T))$

${\displaystyle \kappa _{S}=-{\frac {1}{V))\left({\frac {\partial V}{\partial p))\right)_{S))$

${\displaystyle {\frac {\kappa _{T)){\kappa _{S))}={\frac {C_{p)){C_{V))}=\gamma }$

${\displaystyle \kappa _{T}-\kappa _{S}={\frac {TV\alpha ^{2)){C_{p))))$