We use scanning tunneling microscopy to study the domain structure of the nearly commensurate charge density wave (NC-CDW) state of $1T\text{−}{\mathrm{TaS}}_2$. In our subangstrom characterization of the state, we find a continual evolution of the CDW lattice from domain wall to domain center, instead of a fixed CDW arrangement within a domain. Further, we uncover an intradomain chirality characterizing the NC-CDW state. Unlike the orbital-driven chirality previously observed in related transition-metal dichalcogenides, the chiral nature of the NC-CDW state in $1T\text{−}{\mathrm{TaS}}_2$ appears driven by a strong coupling of the NC-CDW state to the lattice.

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• Charge density waves
• Chirality
• Transition metal dichalcogenides
• Scanning tunneling microscopy