Recall what stabilizes protein structures

Protein structure levels are stabilized by different interactions:

• Secondary structure ($2^\circ$ structure: $\alpha$-helix, $\beta$-sheet) is mainly stabilized by hydrogen bonding.
• Tertiary structure ($3^\circ$ structure) is stabilized by interactions such as:
  • disulfide linkages $(-S-S-)$
  • hydrogen bonding
  • van der Waals forces
  • ionic and hydrophobic interactions

Check each option

A: $-O-O-$ linkage

• Peroxide linkage is not a normal stabilizing interaction in proteins.
• It does not contribute to stabilization of protein secondary or tertiary structure.

B: $-S-S-$ linkage

• This is a disulfide bond between cysteine residues.
• It is well known to stabilize the tertiary structure of proteins.

C: van der Waals forces

• These weak intermolecular forces help stabilize folded protein structure, especially tertiary structure.

D: H-bonding

• Hydrogen bonding is the major force stabilizing secondary structure and also contributes to tertiary structure.

Conclusion

The interaction that does not stabilize $2^\circ$ and $3^\circ$ structures of proteins is:

$\boxed{A\;(-O-O-\text{ linkage})}$

Comparison with stored correct answer

Stored correct answer: A

My derived answer: A

Hence, they agree.