If you get hungry, EAT something low-carb. Generally, low-carb diets are not calorie restricted. It seems like food choices are so restricted on a low-carb diet that it can get boring quickly. Many an unwary Atkins dieter has been derailed by this. So does heavy cream - 6.7 grams per cup.
Most shellfish also has carbs.
Crab is the exception. Raw oysters are at the other extreme containing about 23 grams of carbohydrate per pound. Not just because more will start to blow my carb limit but because most of the desserts are very high in calories. Watch the serving size carefully. When Atkins says his cheescake is 12 servings, he means it.