Specific heat and thermodynamic critical field for the molecular metallic hydrogen

In the framework of Eliashberg approach, the free energy difference between the superconducting and normal state for the molecular metallic hydrogen was calculated. The pressure values p(1) = 347 GPa and p(2) = 428 GPa were taken into consideration. It has been shown that the specific heat's jump at the critical temperature and the thermodynamic critical field near zero Kelvin grow with the pressure: [Delta C(T(C))](p2)/[Delta C(T(C))](p1) similar or equal to 2.33 and [H(C)(0)](p2)/[H(C)(0)](p1) similar or equal to 1.74. The ratio r(1) equivalent to Delta C(T(C))/C(N)(T(C)) increases from 1.91 to 2.39 with p; whereas r(2) equivalent to T(C)C(N)(T(C))/H(C)(2)(0) decreases from 0.152 to 0.140. The last results prove the fact that the r(1) and r(2) values significantly differ from the predictions based on the BCS model. (C) 2011 Elsevier B. V. All rights reserved.