Analysis on the Magnetic and Thermodynamic behavior of a Linear Magnetic Chain [Co(bpdc)(H$_{2}$O)$_{2}$].H$_{2}$O

[Co(bpdc)(H$_{2}$O)$_{2}$].H$_{2}$O (bpdc=biphenyldicarboxylate) was found to be a one dimensional ferromagnetic Co (II) chain system that orders below 5.5 K due to a weak antiferromagnetic inter-chain coupling. Classical Fisher Model (CFM), Mean Field Theory (MFT), and Ising Model (IM) were applied to the high temperature susceptibility data of [Co(bpdc)(H$_{2}$O)$_{2}$].H$_{2}$O. The fit to CFM yielded a J/k$_{B}$ = + 7.40 K with R$^{2}$ = 0.993; MFT gave a J/k$_{B}$ = + 5.31 K with a low R$^{2}$ = 0.391. The ratio interchain interactions (J') to that of intra-chain interactions was estimated to be J'/J = - 0.005. The magnetic specific heat was obtained via direct subtraction of the specific heat data for Zinc analogue from that of [Co(bpdc)(H$_{2}$O)$_{2}$].H$_{2}$O . The magnetic specific heat data was fit to the Ising Model for spin $\raise.5ex\hbox{$\scriptstyle 1$}\kern-.1em/ \kern-.15em\lower.25ex\hbox{$\scriptstyle 2$} $ yielding J/k$_{B}$ = + 15.27 K. The interpretations on the spin state of the Co(II) at different temperatures in the compound are consistent with the behavior of Co(II) in other compounds with similar octahedral sites.