We measure the number of atoms $N$ trapped in a conventional vapor-cell magneto-optic trap (MOT) using beams that have a diameter $d$ in the range 1–5 mm. We show that the $N\propto d^{3.6}$ scaling law observed for larger MOTs is a robust approximation for optimized MOTs with beam diameters as small as 3 mm. For smaller beams, the description of the scaling depends on how $d$ is defined. The most consistent picture of the scaling is obtained when $d$ is defined as the diameter where the intensity profile of the trapping beams decreases to the saturation intensity. Using this definition, $N$ scales as $d^6$ for $d<2.3\mathrm{mm}$ but, at larger $d$, $N$ still scales as $d^{3.6}$.

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