Funnily enough, unlike other diets, Atkins is about eating. I know it sounds crazy but it is a totally different way of losing weight and involves eating healthily in moderate amounts.
If you stick to Atkins to the letter you should see excellent results but a stone a month is not a realistic amount on this way of eating. This is not to say it won't happen - as said earlier, the more weight a person has to lose, the greater the losses per month - but this would only apply to the first month and possibly the second. Make sure you buy A NEW YOU or one of the other Atkins books (amazon, eBay) and read it from cover to cover.
The wonderful thing is that you will have the blessing of ketosis to curb your appetite and cravings as you go along. I know you get ketosis with CD and other VLCDs but sticking to packs and bars is not for everyone.
Atkins is a wonderful 'diet' and lifestyle that teaches us how to maintain while we are losing weight. All the very best to you, whichever diet you choose.