In CRI-ICP-MS it is possible to inject H2 or He through the cones sampling and skimmer. In this sense I need to know more information to calculate the thermodynamic enthalpy values of this reaction (2Cr+ + H2 => 2CrH+)
I suggest you to get thermal data from NIST (http://webbook.nist.gov/cgi/), where you can get single species properties.
A rough estimation can be done using this equation
Energy of Cr+ = I(Cr) is the ionization of Cr (considering gaseous chromium as reference)
Energy of H2 = 0
Energy of CrH +D(CrH)=E(Cr)+E(H) =1/2 D(H2) => E(CrH)=-D(CrH)+1/2 D(H2)
Energy of Cr+ = E(CrH)+I(CrH)
Where E(X), I(X) and D(X) are respectively the energy, dissociation energy and ionization energy of of the X species. This quantities can be find on NIST DB
As a result you
DH(reaction)=-2D(CrH)+1/2 D(H2)+2I(CrH)-2I(Cr)
To be more precise, to this contribution you have to add the internal contribution that depends on the temperature. You can find some internal values on the mist DB too.