The characteristic $K$ x-ray yields are measured in Sn, Te, Ce, ${\mathrm{Sm}}^{144}$, ${\mathrm{Sm}}^{152}$, ${\mathrm{Sm}}^{154}$, ${\mathrm{Gd}}^{160}$, ${\mathrm{W}}^{186}$, and Pb, by bombarding them with $\alpha$ particles of energy 4 and 3 MeV. No excess of x-ray yield has been observed in the atoms of deformed even-even nuclei, when the observed data were corrected for the x-ray contribution due to internal conversion by using the theoretical values of $K$-shell internal-conversion coefficients. The observed variation of the number of $K$-shell vacancies per microcoulomb with the atomic number indicates that the $E2\mathrm{}$ internal-conversion coefficients and also the probability for $K$-shell ionization are unaffected by nuclear deformation.

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