Hope this helps http://www.atkins.com/Program/Phase...this-Phase.aspx
Vegetables:

You should be eating approximately 12 to 15 grams of net carbs per day in the form of vegetables, which is equivalent to several cups depending on the actual carb content of the veggies you select.
1 cup is roughly the size of a baseball. Measure the following salad vegetables raw.

Vegetable Serving Size/Prep grams of net carbs
Alfalfa sprouts ½ cup/raw 0.2
Arugula 1 cup/raw 0.4
Bok choy 1 cup/raw 0.4
Celery 1 stalk 0.8
Chicory greens ½ cup/raw 0.1
Chives 1 tablespoon 0.1
Cucumber ½ cup 1.0
Daikon ½ cup 1.0
Endive ½ cup 0.4
Escarole ½ cup 0.1
Fennel ½ cup 1.8
Jicama ½ cup 2.5
Iceberg lettuce 1 cup 0.2
Mushrooms ½ cup 1.2
Parsley 1 tablespoon 0.1
Peppers ½ cup/raw 2.3
Radicchio ½ cup/raw 0.7
Radishes 6/raw 0.5
Romaine lettuce 1 cup 0.4

The following vegetables are slightly higher in carbs than the salad vegetables listed above. They also provide important nutrients and add variety to your daily foods. Make sure you stay within the 12-15 grams of net carbs. Unless otherwise noted, measure these veggies after you cook them.

Vegetable Serving Size/ Prep Net Carbs
Artichoke 1/2 medium 3.5
Asparagus 6 spears 2.4
Artichoke hearts 1 canned 1.0
Avocados ½ whole (raw) 1.8
Bamboo shoots ½ cup 1.2
Broccoli ½ cup 1.7
Broccoli raw ½ cup 0.8
Broccoli rabe ½ cup 2.0
Broccoflower ½ cup 2.3
Brussels sprouts ¼ cup 1.8
Cabbage ½ cup (raw) 1.6
Cauliflower ½ cup (raw) 1.4
Swiss chard ½ cup 1.8
Collard greens ½ cup boiled 2.0
Eggplant ½ cup 2.0
Green String Beans 1 cup 4.1
Hearts of palm 1 heart 0.7
Kale ½ cup 2.4
Kohlrabi ¼ cup 2.3
Leeks ½ cup 3.4
Okra ½ cup 2.4
Olives green 5 2.5
Olives black 5 0.7
Onion ¼ cup 4.3
Pumpkin ¼ cup 2.4
Rhubarb ½ cup (unsweetened) 1.7
Sauerkraut ½ cup (drained) 1.2
Snow peas and snap peas in pod ½ cup with pods 3.4
Spaghetti squash ¼ cup boiled 2.0
Spinach ½ cup 2.2
Summer squash ½ cup 2.6
Tomato ¼ cup 4.3
Turnips ½ cup 3.3
Water chestnuts ¼ cup (canned) 3.5
Zucchini ½ cup 1.5

Salad Garnishes

Crumbled bacon 3 slices 0.0
Hard-boiled egg 1 egg 0.5
Grated cheeses (see above carb counts)
Sautéed mushrooms ½ cup 1.0
Sour cream 2 tbs 1.2

Herbs and Spices (make sure they contain no added sugar)

Basil 1 tbs 0.0
Cayenne pepper 1 tbs 0.0
Cilantro 1 tbs 0.0
Dill 1 tbs 0.0
Garlic 1 clove 0.9
Ginger 1 tbs sliced root 0.8
Oregano 1 tbs 0.0
Pepper 1 tbs 0.0
Rosemary 1 tbs 0.0
Sage 1 tbs 0.0
Tarragon 1 tbs 0.0

Salad Dressings - Any prepared salad dressing with no added sugar and no more then 2 grams of net carbs per serving (1-2 tablespoons) is acceptable. Or make your own.

Blue cheese 2 tbs 2.3
Caesar 2 tbs 0.5
Italian 2 tbs 3.0
Lemon juice 2 tbs 2.8
Lime juice 2 tbs 2.8
Oil and vinegar 2 tbs 1.0
Ranch 2 tbs 1.4

Fats and Oils

There are no carbs here, but keep in mind that the serving size is approximately 1 tablespoon.

Butter
Mayonnaise – make sure it has no added sugar
Olive oil
Vegetable oils – Those labeled “cold pressed” or “expeller pressed” are especially good and olive oil is one of the best.
Canola*
Walnut
Soybean*
Grape seed*
Sesame
Sunflower*
Safflower*

*Do not allow any oils to reach overly high temperatures when cooking. Use olive oil for sautéing only. Use walnut or sesame oil to dress cooked veggies or salad, but not for cooking.

Artificial Sweeteners

Splenda – one packet equals 1 gram of net carbs

Beverages

Clear broth/ bouillon (make sure it has no sugars added)
Club soda
Cream, heavy or light.
Decaffeinated or regular coffee and tea*
Diet soda (be sure to note the carb count)
Flavored seltzer (must say no calories)
Herb tea (without added barley or fruit sugar added)
Unflavored soy/almond milk
Water – at least eight 8-ounce glasses per day including...
Filtered water
Mineral water
Spring water
Tap water

* One to two cups of caffeinated tea or coffee is allowed as desired and tolerated by each individual. If you experience symptoms of hypoglycemia or cravings as a result, do not use caffeine. If you have a true caffeine addiction, it is best to break the habit during the induction phase.
* Limit lemon and lime juices to 3 T per day