Percy Bridgeman remarked that "graphite is nature's best spring". I have attempted to quantify this with some bulk modulus expressions.
V = initial volume dV = change in volume (in cm^3) dP = change in pressure (gPA) B = Bulk Modulus of elasticity
For a given volume, bulk modulus, and applied pressure, how much will that volume shrink? dV = (dP*V)/B
Put a 17.6 carat diamond (1 Cm^3) into a perfectly ridged, incompressible and unbreakable box. Heat the diamond to about 4600 K to graphitize most of crystal. Graphite occupies 26% more volume than diamond at sea level. This is a very big change.
Rearranging the above equation to find the pressure change I get: dP = -B*(dV/V) dP = 34GPa*(1.26/1) dP = 42.84GPa
The graphite should be exerting over 422,000 atmospheres upon the sides of the perfect box.
Have I done this calculation correctly?