1. Place a pot of 4-5 quarts of water on to boil. Heat chicken broth in a non-stick frying pan. Saute onions in stock until transparent, about 10 minutes. Add garlic and saute another minute. Add vodka, raise heat and reduce by half, about 2 minutes. Add tomato and clam juice. Cover a nd cook gently without boiling, 2 minutes. Cut shrimp into 1=D3 pieces a nd add.
2. Cook, covered 3 more minutes. Add cream, stir and salt and pepper to taste. Spoon into large serving bowl and add basil. Place linguine in boiling water and boil 2 minutes. Strain and toss with sauce. Sprinkle with Parmesan.