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Tungsten is an important element for magnetically confined fusion plasmas buthas the potential to cool, or even quench the plasma due to it being anefficient radiator. Total and level-resolved dielectronic recombination (DR)rate coefficients, for all ionization stages, are essential to model tungsten.We describe a set calculations performed using the distorted wave codeAUTOSTRUCTURE for the tungsten ions W$^{37+}$ to W$^{28+}$. We demonstrate theimportance of relativistic configuration mixing in such calculations. Inparticular, we show that the partial DR rate coefficients calculated in leveland configuration resolution can differ by as little as 5%, and up to as muchas 75%. Using the new data, we calculate a revised steady-state ionizationfraction for tungsten. We find that, relative to the ionization fractioncalculated using the recombination rate coefficients of Putterich et al.(Plasma Phys. Control. Fusion, 50, 085016), the peak temperatures of W$^{37+}$to W$^{28+}$ ionization states are shifted to lower temperatures spanning0.9-1.6keV. This temperature range is important for understanding theperformance of large tokamaks, such as ITER, because the temperatures in thepedestal, edge, scrape-off-layer and divertor region fall in this range.

Dielectronic recombination of the open $4d$-shell of Tungsten: W$^{37+}$ - W$^{28+}$