Computation provides chemical insight into the diverse hydride NMR chemical shifts of [Ru(NHC)4(L)H]0/+ species (NHC = N-heterocyclic carbene; L = vacant, H2, N2, CO, MeCN, O2, P4, SO2, H−, F− and Cl−) and their [Ru(R2PCH2CH2PR2)2(L)H]+ congeners. Issue 9 (13th February 2017)