[MSA-talk] youngs modulus of calcite and aragonite

Ross John Angel rossjohnangel at gmail.com
Sat Oct 21 06:05:16 EDT 2017

Dear Colleagues

just a reminder; there is strictly no single 'Youngs modulus' for 
calcite, because calcite like all minerals is elastically anisotropic, 
and therefore the "Youngs modulus" (which is really the inverse of the 
elastic compliance for normal stress) varies with direction.

The full elastic tensor of calcite is reported in:
Chen C-C, Lin C-C, Liu L-G, Sinogeikin SV, Bass JD. Elasticity of 
single-crystal calcite and rhodochrosite by Brillouin spectroscopy. Am 
Min 2001;86(11–12):1525–9.

 From these data you can calculate that the Youngs modulus along the 
c-axis is 57.6 GPa, and 91.6 GPa for directions in the (001) plane, 
which illustrates the anisotropy. Consequently the value of the average 
Youngs modulus depends on whether you average at the Reuss (average for 
uniform stress) or Voigt (average for uniform strain) limit; the numbers 
being <Y>=74.9 GPa for Reuss, 97.0 GPa for Voigt.

(all values for moduli given above are adiabatic)

Ross Angel

On 20/10/2017 16:26, Michael Carpenter wrote:
> Dear friends,
> I have been trying to find some modern values of Young's modulus for 
> calcite and aragonite. They must be tabulated somewhere but it has 
> been surprisingly difficult to find an appropriate source. Any 
> suggestions either of the values or where to find them would be much 
> appreciated.
> Thanks.
> Michael

Dr. Ross John Angel
Department of Earth Sciences and Environment
University of Pavia
Via Ferrata 1
I-27100 Pavia, Italy

rossjohnangel at gmail.com
Websites: www.rossangel.net | www.mile-deep.org

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