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In the published article, the following corrections are needed.
where α = 29π4/3hc3. There was also an error in the unit conversion when calculating AJ, and the values of δt shown in Figure 5 should be divided by 2π.
The revised Figure 4 is shown below. Small variations are visible for Tr = 2.73 K and 14.6 K, but nearly invisible for Tr = 80 K which is close to Tk. The variation is negligible for Figure 5 in which Tr = 90 K and Tk = 100 K are close. The errors do not affect the text or the conclusions of the paper.
Figure 4. Population fractions of polar molecules calculated by using n(J) of Equation (8) for Tr = 2.73 K, 14.6 K, and 80 K. Spontaneous emission reduces n(J) in high J levels for low Tr, while dust emission pumps them back for high Tr.
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The authors thank Jane Huang and Mitsunori Araki for discussions and Jane Huang for providing the new Figure 4.