Abstract
We have measured the ratio of the electric quadrupole $(E2)$ to magnetic dipole $(M1)$ transition amplitude within the ${6P}_{1/2}\ensuremath{\rightarrow}{6P}_{3/2}$ transition in atomic thallium. Defining $\ensuremath{\chi}$ to be this $E2$ to $M1$ amplitude ratio, we find that $\ensuremath{\chi}=0.2387(10)(38)$, where the first error is statistical and the second represents a combined systematic error. In addition to providing a stringent test of theoretical wave-function calculations in thallium, accurate knowledge of this quantity is essential for existing and future measurements of parity nonconserving optical rotation on this same 1283-nm line in thallium.
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