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Ground “radial” wire need not be very big/thick to do the job. Even 12-14 ga. is a bit stout for Part 15 uses. Stranded “bell wire” is sufficient for what we need (22-18 ga.). If you install a single earth ground conductor of 6-8 ga. connected directly to at least one ground rod, you are pretty well grounded for lightning or static discharge. The ground radials are for the antenna to work the best it can for the ground conductivity of your area.
One not about lightning safety. If your antenna gets hit by lightning, the size of the ground conductor won’t really matter. Lightning gets to make the rules for what burns and what doesn’t. Please refer to lightning grounds in the ARRL Antenna Book for further study.
The ground radials are the current return component of the antenna system and greatly effect the initial launch of signal from the antenna. This effect is most noticeable within 100 feet or so. beyond that, the ground conductivity surrounding the antenna out several miles takes over. So, if your communities soil conductivity is not very good, ground radials will help; but only to a point of marginal return in signal strength and range.
I found the specs on the Belden wire by “Googling” Belden and the cable numbers. I wouldn’t use either for ground radials.