The Birch–Murnaghan isothermal equation of state, published in 1947 by Albert Francis Birch of Harvard,[1] is a relationship between the volume of a body and the pressure to which it is subjected. Birch proposed this equation based on the work of Francis Dominic Murnaghan of Johns Hopkins University published in 1944,[2] so that the equation is named in honor of both scientists.
Expressions for the equation of state edit
The third-order Birch–Murnaghan isothermal equation of state is given by
The internal energy, E(V), is found by integration of the pressure:
See also edit
References edit
- ^ Birch, Francis (1947). "Finite Elastic Strain of Cubic Crystals". Physical Review. 71 (11): 809–824. Bibcode:1947PhRv...71..809B. doi:10.1103/PhysRev.71.809.
- ^ Murnaghan, F. D. (1944). "The Compressibility of Media under Extreme Pressures". Proceedings of the National Academy of Sciences of the United States of America. 30 (9): 244–247. Bibcode:1944PNAS...30..244M. doi:10.1073/pnas.30.9.244. JSTOR 87468. PMC 1078704. PMID 16588651.
- ^ a b Poirier, J.-P. (2000). "Introduction to the Physics of the Earth's Interior". Cambridge. ISBN 9781139164467.