Final answer:
The passage's main thesis, it's difficult to determine if any of the provided options would function as a counter-claim. However, options A, B, and C tend to support the effectiveness or superiority of the PIGE process, rather than contradicting or challenging it.
Step-by-step explanation:
To identify the detail that would function as a counter-claim to the main thesis of a passage, it's important to understand the main argument presented. It appears the passage discusses various processes for detecting or producing certain substances, mentioning the Pidgeon process, chemical reduction, plutonium-239, and positron emission tomography (PET).
The detail in option A (PIGE process being not only easier but also cheaper than the PIXE process) would not be a counter-claim but rather support the idea that the PIGE process might be superior to PIXE. Option B (safety of the PIGE process), similar to A, supports the superiority of the PIGE process over PIXE by mentioning its safety. Option C (90% success rate of the PIGE process at detecting harmful chemicals) boasts about the efficacy of PIGE, but it's not clear if it counters the main argument without context indicating that a high success rate might be irrelevant or negative in comparison to other concerns or methods.