Absence of magnetic order and magnetic fluctuations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi mathvariant="normal">RuO</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math>

A novel magnetic class blending ferromagnetism and antiferromagnetism, termed altermagnetism, has gained significant attention for its staggered order in coordinate and momentum spaces, time-reversal symmetry-breaking phenomena, and promising applications in spintronics. Ruthenium dioxide (${\mathrm{RuO}}_{2}$) has been considered a candidate material for altermagnetism, yet the presence of magnetic moments on Ru atoms remains a subject of debate. In this study, we systematically investigated the magnetic properties of ${\mathrm{RuO}}_{2}$ powder using nuclear quadrupole resonance (NQR) measurements. The NQR spectra show that there is no internal magnetic field. Furthermore, the temperature independence of spin-lattice relaxation rate, $1/{T}_{1}T$, proves that there are no magnetic fluctuations. Our results unambiguously demonstrate that Ru atoms in ${\mathrm{RuO}}_{2}$ possess neither static magnetic moments nor fluctuating magnetic moments, and thus ${\mathrm{RuO}}_{2}$ does not possess the magnetic characteristics essential for altermagnetism.