Massieu

F. Massieu Journ. de Phys. 4, 216, 1869) first showed that all the characteristic properties of fluids can be expressed in terms of one or other of two functions, H and II defined as follows ... 

Planck (Thermodynamics, trans. Ogg) has used the second of Massieu s functions ... 

It therefore follows that /ree energy of an ideal gas mixture is a function of the same form as that of a simple gas. Hence, in virtue of Massieu s theorem, an ideal gas mixture behaves thermally and mechanically exactlylike a simpler gas. 

As in energy representation the fundamental thermodynamic equation in entropy representation (3) may also be subjected to Legendre transformation to generate a series of characteristic functions designated as Massieu-Planck (MP) functions, m. The index m denotes the number of intensive parameters introduced as independent variables, i.e. 

Derive the total differential for the Massieu function J, with natural variables T and V determine dJ/dT)v and (dJ/dV)f, and show that... 

A thermodynamic function, symbolized by Y, equal to the negative of the Gibbs free energy divided by the absolute temperature Y= GIT. The SI units are joules per kelvin. See also Gibbs Free Energy Massieu Function... 

ISOTORE EXCHANGE AT EQUILIBRIUM MASSIEU FUNCTION HELMHOLTZ ENERGY PLANCK FUNCTION MASS SPECTROMETRY Matrix of biominerals,... 

PLANCK EUNCTION GIBBS FREE ENERGY MASSIEU FUNCTION PLANCK S CONSTANT PLASMALOGEN SYNTHASE PLASMANYLETHANOLAMINE A -DESA-TURASE PLASMIN... 

Camacho A. and Massieu L. (2006). Role of glutamate transporters in the clearance and release of glutamate during ischemia and its relation to neuronal death. Arch. Med. Res. 37 11 -18. 

Several evidence underlie the crucial role of excessive glutamate release under ischemic conditions in the brain (Aarts el al., 2003 Camacho and Massieu, 2006 Dirnagl et al., 1999) and, concurrently, experimental data sustain a comparable role for glutamate under retinal ischemia (Adachi et al., 1998 Louzada-Junior et al., 1992). However, it should be stressed that the mechanisms underlying tolerance to ischemia may differ in brain and in the retina, the latter being more tolerant to ischemia than the former (Iijima et al., 2000 Osborne et al., 2004). 

Orozco-Ibarra M, Estrada-Sanchez AM, Massieu L, Pedraza-Chaverri J (2009) Int J Biochem Cell Biol 41 1304... 

Massieu function 48 mathematical constants 83, 90 mathematical functions 83 mathematical operators 84 mathematical symbols 81-86 matrices 83, 85 matrix element of operator 16 maxwell 115 Maxwell equations 123 mean free path 56 mean international ohm 114 mean international volt 114 mean ionic activity 58 mean ionic activity coefficient 58 mean ionic molality 58 mean life 22, 93 mean relative speed 56 mechanics classical 12 quantum 16 mega 74 melting 51 metre 70,71,110 micro 74 micron 110 mile 110 Miller indices 38 milli 74... 

In addition to the thermodynamic function normally considered the following types have occasionally been introduced (a) Grand potential J F - G (b) entropy (c) Massieu Function = - F/T (d) Planck Function 9 G/T (e) Kramers Function K = - J/T. Express each of these in terms of the appropriate total differential and label the independent (deformation) coordinates. (Example for the Gibbs free energy the deformation coordinates are T, P.)... 

Del Rio, P., Montiel, T., Chagoya, V., Massieu, L. (2007). Exacerbation of excitotoxic neuronal death induced during mitochondrial inhibition in vivo relation to energy imbalance or ATP depletion Neuroscience 146 1561-70. 

Estrada Sanchez, A.M., Mejia-Toiber, J., Massieu, L. (2008). Excitotoxic neuronal death and the pathogenesis of Huntington s disease. Arch. Med. Res. 39 265-76. 

A small effect of a magnetic field on the viscosity of mercury was found by Destriau and Massieu i2 there seems to be no effect of a magnetic field in the case of non-polar liquids, but there is a small increase with polar liquids, depending on the shape of the molecule. 

Garcia O, Almeida A, Massieu L, Bolanos JP. 2005. Increased mitochondrial respiration maintains the mitochondrial membrane potential and promotes survival of cerebellar neurons in an endogenous model of glutamate receptor activation. J Neurochem 92 183-190. 

Let us consider the function S( , V) which, for and fixed, is the maximum of S. The temperature of the corresponding canonical ensemble is defined by introducing the Lagrange multiplier P and the Massieu function... 

Rocamora, N., Massieu, L., Boddeke, H.W.G.M., Mengod, G. and Palacios, J.M. (1993b) Neuronal death and neurotrophin gene expression long-lasting stimulation of neurotrophin-3 mRNA in the degenerating CAl and CA4 pyramidal cell layers. Neuroscience 53 905-908. 

Massieu function - A thermodynamic function defined by/ = -A T, where A is the Helmholz energy and T the thermodynamic temperature. [2]... 

There are basically two types of Legendre transformations, one type based on the energy and the other type based on the entropy. There are various other types of Massieu functions [15]. The Gibbs - Duhem equation is a very special type of Legendre transformation. It is a full transformation and is a relation of the intensive... 

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