Concept:
Different spectroscopic techniques require different levels of sample preparation, especially for solid samples. The complexity depends on whether the sample needs physical modification, vacuum conditions, or chemical treatment.
Step 1: Raman with microscope (A).
Raman spectroscopy with a microscope requires minimal sample preparation. Solid samples can often be analyzed directly without grinding or chemical treatment.
Thus, it has the least complexity.
Step 2: XPS (B).
X-ray Photoelectron Spectroscopy (XPS) requires:
• Ultra-high vacuum conditions
• Clean and flat sample surfaces
Although no chemical mixing is needed, preparation and handling are more complex than Raman.
Step 3: mid-IR transmission (KBr pellet) (C).
This method requires:
• Grinding the sample
• Mixing with KBr powder
• Pressing into a pellet
This makes it the most preparation-intensive method.
Step 4: Final ordering.
\[
A < B < C
\]
Final Conclusion:
Hence, the correct answer is option (1).