とすると、
2nd-order Birch-Murnaghan
![P_{(T=T_0, V)} = \cfrac{3K_0}{2} \left( \cfrac{V_0}{V} \right)^{5/3} \left[ \left( \cfrac{V_0}{V} \right)^{2/3} - 1 \right] = \cfrac{3K_0 }{2} \left\{a^5 ( a^2 - 1)\right\}](https://s0.wp.com/latex.php?latex=++P_%7B%28T%3DT_0%2C+V%29%7D+%3D+%5Ccfrac%7B3K_0%7D%7B2%7D++%5Cleft%28+%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B5%2F3%7D++%5Cleft%5B+%5Cleft%28+%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B2%2F3%7D+-+1+%5Cright%5D++%3D+%5Ccfrac%7B3K_0+%7D%7B2%7D+%5Cleft%5C%7Ba%5E5+%28+a%5E2+-+1%29%5Cright%5C%7D++&bg=ffffff&fg=000000&s=0 "P_{(T=T_0, V)} = \cfrac{3K_0}{2} \left( \cfrac{V_0}{V} \right)^{5/3} \left[ \left( \cfrac{V_0}{V} \right)^{2/3} - 1 \right] = \cfrac{3K_0 }{2} \left\{a^5 ( a^2 - 1)\right\}")
3rd-order Birch-Murnaghan
![P_{(T=T_0, V)} = \cfrac{3K_0}{2} \left( \cfrac{V_0}{V} \right)^{5/3} \left[ \left( \cfrac{V_0}{V} \right)^{2/3} - 1 \right] \left[ 1 + \cfrac{3}{4} (K'_0-4) \left\{ \left(\cfrac{V_0}{V} \right)^{2/3} -1 \right\} \right]\\ \ = \cfrac{3K_0}{2} \left\{a^5 ( a^2 - 1)\right\} \left\{ 1 + \cfrac{3}{4} (K'_0-4) (a^2 -1) \right\}](https://s0.wp.com/latex.php?latex=++P_%7B%28T%3DT_0%2C+V%29%7D+%3D+%5Ccfrac%7B3K_0%7D%7B2%7D++%5Cleft%28+%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B5%2F3%7D++%5Cleft%5B+%5Cleft%28+%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B2%2F3%7D+-+1+%5Cright%5D++%5Cleft%5B+1+%2B+%5Ccfrac%7B3%7D%7B4%7D+%28K%27_0-4%29+%5Cleft%5C%7B+%5Cleft%28%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B2%2F3%7D+-1+%5Cright%5C%7D+%5Cright%5D%5C%5C+%5C++%3D+%5Ccfrac%7B3K_0%7D%7B2%7D+%5Cleft%5C%7Ba%5E5+%28+a%5E2+-+1%29%5Cright%5C%7D+%5Cleft%5C%7B+1+%2B+%5Ccfrac%7B3%7D%7B4%7D+%28K%27_0-4%29+%28a%5E2+-1%29+%5Cright%5C%7D++&bg=ffffff&fg=000000&s=0 "P_{(T=T_0, V)} = \cfrac{3K_0}{2} \left( \cfrac{V_0}{V} \right)^{5/3} \left[ \left( \cfrac{V_0}{V} \right)^{2/3} - 1 \right] \left[ 1 + \cfrac{3}{4} (K'_0-4) \left\{ \left(\cfrac{V_0}{V} \right)^{2/3} -1 \right\} \right]\\ \ = \cfrac{3K_0}{2} \left\{a^5 ( a^2 - 1)\right\} \left\{ 1 + \cfrac{3}{4} (K'_0-4) (a^2 -1) \right\}")
4th-order Birch-Murnaghan
![P_{(T=T_0, V)} = \cfrac{3K_0}{2} \left( \cfrac{V_0}{V} \right)^{5/3} \left[ \left( \cfrac{V_0}{V} \right)^{2/3} - 1 \right] \left[ 1 + \cfrac{3}{4} (K'_0-4) \left\{ \left(\cfrac{V_0}{V} \right)^{2/3} -1 \right\} + \cfrac{9K_0 K''_0 + 9{K'_0}^2 - 63K'_0 + 143}{24} \left\{ \left(\cfrac{V_0}{V} \right)^{2/3} -1 \right\}^2 \right]\\ \ = \cfrac{3K_0}{2} \left\{a^5 ( a^2 - 1)\right\} \left\{ 1 + \cfrac{3}{4} (K'_0-4) (a^2 -1) + \cfrac{9K_0 K''_0 + 9{K'_0}^2 - 63K'_0 + 143}{24} (a^2 -1)^2 \right\}](https://s0.wp.com/latex.php?latex=++P_%7B%28T%3DT_0%2C+V%29%7D+%3D+%5Ccfrac%7B3K_0%7D%7B2%7D++%5Cleft%28+%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B5%2F3%7D++%5Cleft%5B+%5Cleft%28+%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B2%2F3%7D+-+1+%5Cright%5D++%5Cleft%5B++1+%2B++%5Ccfrac%7B3%7D%7B4%7D+%28K%27_0-4%29+%5Cleft%5C%7B+%5Cleft%28%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B2%2F3%7D+-1+%5Cright%5C%7D+%2B++%5Ccfrac%7B9K_0+K%27%27_0+%2B+9%7BK%27_0%7D%5E2+-+63K%27_0+%2B+143%7D%7B24%7D+%5Cleft%5C%7B+%5Cleft%28%5Ccfrac%7BV_0%7D%7BV%7D+%5Cright%29%5E%7B2%2F3%7D+-1+%5Cright%5C%7D%5E2++%5Cright%5D%5C%5C+%5C++%3D+%5Ccfrac%7B3K_0%7D%7B2%7D+%5Cleft%5C%7Ba%5E5+%28+a%5E2+-+1%29%5Cright%5C%7D+%5Cleft%5C%7B+1+%2B+%5Ccfrac%7B3%7D%7B4%7D+%28K%27_0-4%29+%28a%5E2+-1%29++%2B+%5Ccfrac%7B9K_0+K%27%27_0+%2B+9%7BK%27_0%7D%5E2+-+63K%27_0+%2B+143%7D%7B24%7D+%28a%5E2+-1%29%5E2+%5Cright%5C%7D++&bg=ffffff&fg=000000&s=0 "P_{(T=T_0, V)} = \cfrac{3K_0}{2} \left( \cfrac{V_0}{V} \right)^{5/3} \left[ \left( \cfrac{V_0}{V} \right)^{2/3} - 1 \right] \left[ 1 + \cfrac{3}{4} (K'_0-4) \left\{ \left(\cfrac{V_0}{V} \right)^{2/3} -1 \right\} + \cfrac{9K_0 K''_0 + 9{K'_0}^2 - 63K'_0 + 143}{24} \left\{ \left(\cfrac{V_0}{V} \right)^{2/3} -1 \right\}^2 \right]\\ \ = \cfrac{3K_0}{2} \left\{a^5 ( a^2 - 1)\right\} \left\{ 1 + \cfrac{3}{4} (K'_0-4) (a^2 -1) + \cfrac{9K_0 K''_0 + 9{K'_0}^2 - 63K'_0 + 143}{24} (a^2 -1)^2 \right\}")
T-dependence-Birch Murnaghan
Vinet
![P_{(T=T_0, V)} = 3K_0 \left(\cfrac{V}{V_0}\right)^{-2/3} \left\{ 1- \left(\cfrac{V}{V_0}\right)^{1/3} \right\} \exp \left[ \cfrac{3}{2} (K'_0-1) \left\{ 1- \left(\cfrac{V}{V_0}\right)^{1/3} \right\} \right] \\ \ = 3K_0 a^{2} \left\{ 1- 1/a \right\} \exp \left[ \cfrac{3}{2} (K'_0-1) \left( 1- 1/a \right) \right]](https://s0.wp.com/latex.php?latex=++P_%7B%28T%3DT_0%2C+V%29%7D+%3D+3K_0++%5Cleft%28%5Ccfrac%7BV%7D%7BV_0%7D%5Cright%29%5E%7B-2%2F3%7D++%5Cleft%5C%7B+1-+%5Cleft%28%5Ccfrac%7BV%7D%7BV_0%7D%5Cright%29%5E%7B1%2F3%7D+%5Cright%5C%7D++%5Cexp+%5Cleft%5B+%5Ccfrac%7B3%7D%7B2%7D+%28K%27_0-1%29+%5Cleft%5C%7B+1-+%5Cleft%28%5Ccfrac%7BV%7D%7BV_0%7D%5Cright%29%5E%7B1%2F3%7D+%5Cright%5C%7D+%5Cright%5D+%5C%5C+%5C++%3D+3K_0+a%5E%7B2%7D+%5Cleft%5C%7B+1-+1%2Fa+%5Cright%5C%7D++%5Cexp+%5Cleft%5B+%5Ccfrac%7B3%7D%7B2%7D+%28K%27_0-1%29+%5Cleft%28+1-+1%2Fa+%5Cright%29+%5Cright%5D++&bg=ffffff&fg=000000&s=0 "P_{(T=T_0, V)} = 3K_0 \left(\cfrac{V}{V_0}\right)^{-2/3} \left\{ 1- \left(\cfrac{V}{V_0}\right)^{1/3} \right\} \exp \left[ \cfrac{3}{2} (K'_0-1) \left\{ 1- \left(\cfrac{V}{V_0}\right)^{1/3} \right\} \right] \\ \ = 3K_0 a^{2} \left\{ 1- 1/a \right\} \exp \left[ \cfrac{3}{2} (K'_0-1) \left( 1- 1/a \right) \right]")
Mie-Grüneisen
![\gamma = \gamma_0 \left( \cfrac{V}{V_0}\right)^q, \ \ \theta = \theta_0 \exp \left( \cfrac{\gamma_0-\gamma}{q} \right)\\ P_{th} =P_{(T, V)} - P_{(T=T_0, V)}= \cfrac{9nz \gamma R} {N_A V \theta^3} \left\{ T^4 \displaystyle\int_0^{\theta/T} \cfrac{z^3}{\exp{(z)}-1} dz - T_0^4 \displaystyle\int_0^{\theta/T_0} \cfrac{z^3}{\exp{(z)}-1} dz \right\} \ \ \ \ {\rm [Pa]} \\ \\ R:{\rm\ Gas\ constant, 8.314 4621(75) [N\ m\ K^{-1}\ mol^{-1}] }\\ N_A:{\rm\ Avogadro\ constant, 6.02214129(27) \times 10^{23} [mol^{-1}]}\\ z:{\rm\ Number\ of\ formula\ in\ unit\ cell}\\ n:{\rm\ Atoms\ per\ formula}\\ T_0:{\rm\ Standard\ temperature [K]}\\ T:{\rm\ Target\ temperature\ [K]}\\ V_0:{\rm\ Standard\ unit\ cell\ volume\ [m^3]}\\ V:{\rm\ Target\ unit\ cell\ volume\ [m^3]}\\ \theta_{0}:{\rm\ Debye\ Temperature\ at\ standard\ volume\ [K]}\\ \gamma_{0}:{\rm\ Gruneisen\ parameter\ at\ standard\ volume}\\ q:{\rm\ Volume\ dependence\ of\ Gruneisen\ parameter}\\](https://s0.wp.com/latex.php?latex=++%5Cgamma+%3D+%5Cgamma_0+%5Cleft%28+%5Ccfrac%7BV%7D%7BV_0%7D%5Cright%29%5Eq%2C+%5C+%5C+%5Ctheta+%3D+%5Ctheta_0+%5Cexp+%5Cleft%28+%5Ccfrac%7B%5Cgamma_0-%5Cgamma%7D%7Bq%7D+%5Cright%29%5C%5C++P_%7Bth%7D+%3DP_%7B%28T%2C+V%29%7D+-+P_%7B%28T%3DT_0%2C+V%29%7D%3D+%5Ccfrac%7B9nz+%5Cgamma+R%7D+%7BN_A+V+%5Ctheta%5E3%7D++%5Cleft%5C%7B++T%5E4+%5Cdisplaystyle%5Cint_0%5E%7B%5Ctheta%2FT%7D+%5Ccfrac%7Bz%5E3%7D%7B%5Cexp%7B%28z%29%7D-1%7D+dz++-+T_0%5E4+%5Cdisplaystyle%5Cint_0%5E%7B%5Ctheta%2FT_0%7D+%5Ccfrac%7Bz%5E3%7D%7B%5Cexp%7B%28z%29%7D-1%7D+dz++%5Cright%5C%7D+%5C+%5C+%5C+%5C+%7B%5Crm+%5BPa%5D%7D++%5C%5C+%5C%5C++R%3A%7B%5Crm%5C+Gas%5C+constant%2C+8.314+4621%2875%29+%5BN%5C+m%5C+K%5E%7B-1%7D%5C+mol%5E%7B-1%7D%5D+%7D%5C%5C++N_A%3A%7B%5Crm%5C+Avogadro%5C+constant%2C+6.02214129%2827%29+%5Ctimes+10%5E%7B23%7D+%5Bmol%5E%7B-1%7D%5D%7D%5C%5C++z%3A%7B%5Crm%5C+Number%5C+of%5C+formula%5C+in%5C+unit%5C+cell%7D%5C%5C++n%3A%7B%5Crm%5C+Atoms%5C+per%5C+formula%7D%5C%5C++T_0%3A%7B%5Crm%5C+Standard%5C+temperature+%5BK%5D%7D%5C%5C++T%3A%7B%5Crm%5C+Target%5C+temperature%5C+%5BK%5D%7D%5C%5C++V_0%3A%7B%5Crm%5C+Standard%5C+unit%5C+cell%5C+volume%5C+%5Bm%5E3%5D%7D%5C%5C++V%3A%7B%5Crm%5C+Target%5C+unit%5C+cell%5C+volume%5C+%5Bm%5E3%5D%7D%5C%5C++%5Ctheta_%7B0%7D%3A%7B%5Crm%5C+Debye%5C+Temperature%5C+at%5C+standard%5C+volume%5C+%5BK%5D%7D%5C%5C++%5Cgamma_%7B0%7D%3A%7B%5Crm%5C+Gruneisen%5C+parameter%5C+at%5C+standard%5C+volume%7D%5C%5C++q%3A%7B%5Crm%5C+Volume%5C+dependence%5C+of%5C+Gruneisen%5C+parameter%7D%5C%5C++&bg=ffffff&fg=000000&s=0 "\gamma = \gamma_0 \left( \cfrac{V}{V_0}\right)^q, \ \ \theta = \theta_0 \exp \left( \cfrac{\gamma_0-\gamma}{q} \right)\\ P_{th} =P_{(T, V)} - P_{(T=T_0, V)}= \cfrac{9nz \gamma R} {N_A V \theta^3} \left\{ T^4 \displaystyle\int_0^{\theta/T} \cfrac{z^3}{\exp{(z)}-1} dz - T_0^4 \displaystyle\int_0^{\theta/T_0} \cfrac{z^3}{\exp{(z)}-1} dz \right\} \ \ \ \ {\rm [Pa]} \\ \\ R:{\rm\ Gas\ constant, 8.314 4621(75) [N\ m\ K^{-1}\ mol^{-1}] }\\ N_A:{\rm\ Avogadro\ constant, 6.02214129(27) \times 10^{23} [mol^{-1}]}\\ z:{\rm\ Number\ of\ formula\ in\ unit\ cell}\\ n:{\rm\ Atoms\ per\ formula}\\ T_0:{\rm\ Standard\ temperature [K]}\\ T:{\rm\ Target\ temperature\ [K]}\\ V_0:{\rm\ Standard\ unit\ cell\ volume\ [m^3]}\\ V:{\rm\ Target\ unit\ cell\ volume\ [m^3]}\\ \theta_{0}:{\rm\ Debye\ Temperature\ at\ standard\ volume\ [K]}\\ \gamma_{0}:{\rm\ Gruneisen\ parameter\ at\ standard\ volume}\\ q:{\rm\ Volume\ dependence\ of\ Gruneisen\ parameter}\\")
Pt
![\begin{array}{ccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 & z & n &T_0\ [K]& V_0\ [A^3]& \theta_0\ [K]&\gamma_0 & q & comment\\ \hline\hline {\rm\ Matsui\ et\ al.\ (2009)} &273 &5.20 & 4 & 1 & 300 & 60.38 & 230 & 2.70 & 1.10 &V+M\\ {\rm\ Fei\ et\ al.\ (2007)} &277 &5.08(2) & 4 & 1 & 300 & 60.38 & 230 & 2.72(3) & 0.5 &V+M\\ {\rm\ Zha\ et\ al.\ (2008)} &273.5(10) &4.70(6) & 4 & 1 & 300 & 60.38 & 230 & 2.75(3) & 0.25(V/V_0) &V+M\\ \hline \end{array}](https://s0.wp.com/latex.php?latex=++%5Cbegin%7Barray%7D%7Bccccccccccc%7D++%7B%5Crm%5C+Author%28s%29+%7D+%26+K_0+%26+K%27_0+%26+z+%26+n+%26T_0%5C+%5BK%5D%26+V_0%5C+%5BA%5E3%5D%26+%5Ctheta_0%5C+%5BK%5D%26%5Cgamma_0+%26+q+%26+comment%5C%5C++%5Chline%5Chline++%7B%5Crm%5C+Matsui%5C+et%5C+al.%5C+%282009%29%7D+%26273+%265.20+%26+4+%26+1+%26+300+%26+60.38+%26+230+%26+2.70+%26+1.10+%26V%2BM%5C%5C++%7B%5Crm%5C+Fei%5C+et%5C+al.%5C+%282007%29%7D+%26277+%265.08%282%29+%26+4+%26+1+%26+300+%26+60.38+%26+230+%26+2.72%283%29+%26+0.5+%26V%2BM%5C%5C++%7B%5Crm%5C+Zha%5C+et%5C+al.%5C+%282008%29%7D+%26273.5%2810%29+%264.70%286%29+%26+4+%26+1+%26+300+%26+60.38+%26+230+%26+2.75%283%29+%26+0.25%28V%2FV_0%29+%26V%2BM%5C%5C++%5Chline++%5Cend%7Barray%7D++&bg=ffffff&fg=000000&s=0 "\begin{array}{ccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 & z & n &T_0\ [K]& V_0\ [A^3]& \theta_0\ [K]&\gamma_0 & q & comment\\ \hline\hline {\rm\ Matsui\ et\ al.\ (2009)} &273 &5.20 & 4 & 1 & 300 & 60.38 & 230 & 2.70 & 1.10 &V+M\\ {\rm\ Fei\ et\ al.\ (2007)} &277 &5.08(2) & 4 & 1 & 300 & 60.38 & 230 & 2.72(3) & 0.5 &V+M\\ {\rm\ Zha\ et\ al.\ (2008)} &273.5(10) &4.70(6) & 4 & 1 & 300 & 60.38 & 230 & 2.75(3) & 0.25(V/V_0) &V+M\\ \hline \end{array}")
NaCl B2
![\begin{array}{ccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 &z &n &T_0\ [K]& V_0\ [A^3]& \theta_0\ [K]&\gamma_0 & q & comment \\ \hline\hline {\rm\ Sakai\ et\ al.\ (2009)} &47.00(46) &4.10(2) & - & - & - & 37.73(4.05)& - & - & - & 3BM \\ {\rm\ Sakai\ et\ al.\ (2009)} &40.40(54) &5.04(4) & - & - & - & 37.73(4.05)& - & - & - & V \\ {\rm\ Ueda\ et\ al.\ (2008)^1} &28.45(31) &5.16(4) & - & - & 300 & 41.115 & - & - & - & V \\ \hline \end{array}\\ 1: Vinet + (\partial P/ \partial T)(T-300), \partial P/ \partial T = 0.00468(4)](https://s0.wp.com/latex.php?latex=++%5Cbegin%7Barray%7D%7Bccccccccccc%7D++%7B%5Crm%5C+Author%28s%29+%7D+%26+K_0+%26+K%27_0+%26z+%26n+%26T_0%5C+%5BK%5D%26+V_0%5C+%5BA%5E3%5D%26+%5Ctheta_0%5C+%5BK%5D%26%5Cgamma_0+%26+q+%26+comment+%5C%5C++%5Chline%5Chline++%7B%5Crm%5C+Sakai%5C+et%5C+al.%5C+%282009%29%7D+%2647.00%2846%29+%264.10%282%29+%26+-+%26+-+%26+-+%26+37.73%284.05%29%26+-+%26+-+%26+-+%26+3BM+%5C%5C++%7B%5Crm%5C+Sakai%5C+et%5C+al.%5C+%282009%29%7D+%2640.40%2854%29+%265.04%284%29+%26+-+%26+-+%26+-+%26+37.73%284.05%29%26+-+%26+-+%26+-+%26+V+%5C%5C++%7B%5Crm%5C+Ueda%5C+et%5C+al.%5C+%282008%29%5E1%7D+%2628.45%2831%29+%265.16%284%29+%26+-+%26+-+%26+300+%26+41.115+%26+-+%26+-+%26+-+%26+V+%5C%5C++%5Chline++%5Cend%7Barray%7D%5C%5C++1%3A+Vinet+%2B+%28%5Cpartial+P%2F+%5Cpartial+T%29%28T-300%29%2C+%5Cpartial+P%2F+%5Cpartial+T+%3D+0.00468%284%29++&bg=ffffff&fg=000000&s=0 "\begin{array}{ccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 &z &n &T_0\ [K]& V_0\ [A^3]& \theta_0\ [K]&\gamma_0 & q & comment \\ \hline\hline {\rm\ Sakai\ et\ al.\ (2009)} &47.00(46) &4.10(2) & - & - & - & 37.73(4.05)& - & - & - & 3BM \\ {\rm\ Sakai\ et\ al.\ (2009)} &40.40(54) &5.04(4) & - & - & - & 37.73(4.05)& - & - & - & V \\ {\rm\ Ueda\ et\ al.\ (2008)^1} &28.45(31) &5.16(4) & - & - & 300 & 41.115 & - & - & - & V \\ \hline \end{array}\\ 1: Vinet + (\partial P/ \partial T)(T-300), \partial P/ \partial T = 0.00468(4)")
NaCl B1
![\begin{array}{cccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 & K''_0 & z & n &T_0\ [K]& V_0\ [A^3]& \theta_0\ [K]&\gamma_0 & q & comment \\ \hline\hline {\rm\ Matsui\ et\ al.\ (2012)} &23.7 &5.14(5) &-0.392(21) & 4 & 2 & 300 & - & 279 & 1.56 & 0.96 & 4BM+V \\ {\rm\ Decker\ (1971)^1} &23.70(1) &4.91(1) &-0.267(2) & 4 & 2 & 300 & - & 279 & 1.59 & 0.93 & 4BM+V \\ \hline \end{array}\\ {\rm\ 1:\ Recalculated\ by\ Matsui\ et\ al.\ (2012)}](https://s0.wp.com/latex.php?latex=++%5Cbegin%7Barray%7D%7Bcccccccccccc%7D++%7B%5Crm%5C+Author%28s%29+%7D+%26+K_0+%26+K%27_0+%26+K%27%27_0+%26+z+%26+n+%26T_0%5C+%5BK%5D%26+V_0%5C+%5BA%5E3%5D%26+%5Ctheta_0%5C+%5BK%5D%26%5Cgamma_0+%26+q+%26+comment+%5C%5C++%5Chline%5Chline++%7B%5Crm%5C+Matsui%5C+et%5C+al.%5C+%282012%29%7D+%2623.7+%265.14%285%29+%26-0.392%2821%29+%26+4+%26+2+%26+300+%26+-+%26+279+%26+1.56+%26+0.96+%26+4BM%2BV+%5C%5C++%7B%5Crm%5C+Decker%5C+%281971%29%5E1%7D+%2623.70%281%29+%264.91%281%29+%26-0.267%282%29+%26+4+%26+2+%26+300+%26+-+%26+279+%26+1.59+%26+0.93+%26+4BM%2BV+%5C%5C++%5Chline++%5Cend%7Barray%7D%5C%5C++%7B%5Crm%5C+1%3A%5C+Recalculated%5C+by%5C+Matsui%5C+et%5C+al.%5C+%282012%29%7D++&bg=ffffff&fg=000000&s=0 "\begin{array}{cccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 & K''_0 & z & n &T_0\ [K]& V_0\ [A^3]& \theta_0\ [K]&\gamma_0 & q & comment \\ \hline\hline {\rm\ Matsui\ et\ al.\ (2012)} &23.7 &5.14(5) &-0.392(21) & 4 & 2 & 300 & - & 279 & 1.56 & 0.96 & 4BM+V \\ {\rm\ Decker\ (1971)^1} &23.70(1) &4.91(1) &-0.267(2) & 4 & 2 & 300 & - & 279 & 1.59 & 0.93 & 4BM+V \\ \hline \end{array}\\ {\rm\ 1:\ Recalculated\ by\ Matsui\ et\ al.\ (2012)}")
Al2O3
![\begin{array}{cccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 & \partial K_{(T,P=0)}/ \partial T & a & b & c &T_0\ [K]& V_0\ [cm^3/mol]& comment \\ \hline\hline {\rm\ Dubrovinsky\ et\ al.\ (1998)} &258(2) &4.88(4) &-0.020 & 2.6\times10^{-5} & 1.81(9)\times10^{-9} & -0.67 &300 & 25.59(2) & T-dependence-BM \\ \hline \end{array}\\](https://s0.wp.com/latex.php?latex=++%5Cbegin%7Barray%7D%7Bcccccccccccc%7D++%7B%5Crm%5C+Author%28s%29+%7D+%26+K_0+%26+K%27_0+%26+%5Cpartial+K_%7B%28T%2CP%3D0%29%7D%2F+%5Cpartial+T+%26+a+%26+b+%26+c+%26T_0%5C+%5BK%5D%26+V_0%5C+%5Bcm%5E3%2Fmol%5D%26+comment+%5C%5C++%5Chline%5Chline++%7B%5Crm%5C+Dubrovinsky%5C+et%5C+al.%5C+%281998%29%7D+%26258%282%29+%264.88%284%29+%26-0.020+%26+2.6%5Ctimes10%5E%7B-5%7D+%26+1.81%289%29%5Ctimes10%5E%7B-9%7D+%26+-0.67+%26300+%26+25.59%282%29+%26+T-dependence-BM+%5C%5C++%5Chline++%5Cend%7Barray%7D%5C%5C++&bg=ffffff&fg=000000&s=0 "\begin{array}{cccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 & \partial K_{(T,P=0)}/ \partial T & a & b & c &T_0\ [K]& V_0\ [cm^3/mol]& comment \\ \hline\hline {\rm\ Dubrovinsky\ et\ al.\ (1998)} &258(2) &4.88(4) &-0.020 & 2.6\times10^{-5} & 1.81(9)\times10^{-9} & -0.67 &300 & 25.59(2) & T-dependence-BM \\ \hline \end{array}\\")
Diamond
とすると、
2nd-order Birch-Murnaghan
3rd-order Birch-Murnaghan
4th-order Birch-Murnaghan
T-dependence-Birch Murnaghan
Vinet
Mie-Grüneisen
Pt
NaCl B2
NaCl B1
Al2O3
Diamond
![\begin{array}{cccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 & V_0\ [cm^3/mol]& comment \\ \hline\hline {\rm\ Occelli\ et\ al.\ (2003)} &446(1) &3.0(1) & 3.4170(8) & 3BM \\ \hline \end{array}\\](https://s0.wp.com/latex.php?latex=++%5Cbegin%7Barray%7D%7Bcccccccccccc%7D++%7B%5Crm%5C+Author%28s%29+%7D+%26+K_0+%26+K%27_0+%26+V_0%5C+%5Bcm%5E3%2Fmol%5D%26+comment+%5C%5C++%5Chline%5Chline++%7B%5Crm%5C+Occelli%5C+et%5C+al.%5C+%282003%29%7D+%26446%281%29+%263.0%281%29+%26+3.4170%288%29+%26+3BM+%5C%5C++%5Chline++%5Cend%7Barray%7D%5C%5C++&bg=ffffff&fg=000000&s=0 "\begin{array}{cccccccccccc} {\rm\ Author(s) } & K_0 & K'_0 & V_0\ [cm^3/mol]& comment \\ \hline\hline {\rm\ Occelli\ et\ al.\ (2003)} &446(1) &3.0(1) & 3.4170(8) & 3BM \\ \hline \end{array}\\")