Multi-flare Study on Acceleration Regions using Correlated X-ray and Radio Observations

X-ray and radio observations are found to be both temporally and spatially correlated in a large number of solar flares. We use both wavelength ranges to estimate properties about the spatial region in solar flares which accelerate electrons. A list of events were studied using the RHESSI X-ray flare catalogue and the PHOENIX 2 type III burst catalogue. We find that some events show a very good anti-correlation between the hard X-ray spectral index and the starting frequency of type III radio bursts. Through an analytical relation we then constrain the distance an upwardly travelling electron beam can propagate before it becomes unstable to the generation of Langmuir waves. By assuming a background density model we then infer the height and vertical extent of a variety of different solar flare acceleration regions. Spatially resolved images of each flare in both X-ray and radio wavelengths via RHESSI and the Nançay Radioheliograph respectively are then used to check the validity of the predicted heights.