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The electronic and magnetic properties of ${\mathrm{K}}_{2}\mathrm{Cu}{\mathrm{P}}_{2}{\mathrm{O}}_{7}$ were investigated by means of susceptibility, specific heat and $^{31}\mathrm{P}$ nuclear magnetic resonance (NMR) measurements and by local density approximation (LDA) band structure calculations. The temperature dependence of the NMR shift $K(T)$ is well described by the $S=\frac{1}{2}$ Heisenberg antiferromagnetic chain (HAF) model …