Step 1: Understanding the Concept
Every amino acid has nitrogen in its amino group, but we are asked about nitrogen in the side chain (R group) only.
Step 2: Check the side chains
Asparagine has an amide group in its side chain. Histidine has an imidazole ring with two nitrogen atoms. Tryptophan has an indole ring with one nitrogen.
Step 3: Threonine
The side chain of threonine is \(\text{CH(OH)CH}_{3}\), which contains only carbon, hydrogen and oxygen.
Final Answer:
Threonine has no nitrogen in its side chain.
\[ \boxed{\text{(D) }\text{Threonine}} \]