The standard reduction potential of Fe3+ is 0.77V vs SHE, and the standard reduction potential of [Fe(CN)6]3- is 0.37V vs SHE.
Prussian Blue, or Iron Hexacyanoferrate, is a coordination polymer made of interconnecting Fe cations and [Fe(CN)6] anions. Cations such as K+ or Na+ may fill the interstitial sites, along with zeolitic water. Additionally, due to the strong ligand field (CN)-, the C-coordinated Fe of [Fe(CN)6] groups are in the low-spin state, while N-coordinated Fe remains in the high-spin state.
It has been proven that the redox potential of low-spin [Fe(CN)6] is higher than that of high-spin Fe in Prussian blue.
example: Article Rhombohedral Prussian White as Cathode for Rechargeable Sodi...
If the standard reduction potential of high-spin Fe3+ in water is higher than low-spin [Fe(CN)6]3- in water, why is it the opposite in Prussian Blue? My explanation has always been that the oxidized electron in low-spin [Fe(CN)6] is at lower energy than high-spin Fe, but that also assumes the barycenter is the same. However, this explanation doesn't work for the redox potential of aqueous ions.
Edit: For clarification, this is an example of the intercalation and reduction of both Fe. Redox potential is for aqueous Na+ battery from this source:
https://pubs.rsc.org/en/content/articlehtml/2017/cc/c7cc02516e