r

$-\frac{1}{r^2}$

$-W_{-1}\left(-\frac{1}{r^2}\right)=\frac{h{\nu }_2}{kT}$

$\frac{h{\nu }_1}{kT}$

$\frac{{\nu }_2^3}{{\text{e}}^{\frac{h{\nu }_2}{kT}}-1}$

$\frac{{\nu }_1^3}{{\text{e}}^{\frac{h{\nu }_1}{kT}}-1}$

Intensity ratio

1.65E+00

−3.68E−01

1

6.07E−01

5.82E−01

2.68E−01

0.4597

5.45E+00

−3.37E−02

5

9.18E−01

8.48E−01

5.14E−01

0.6062

4.69E+01

−4.54E−04

10

2.13E−01

4.54E−02

4.07E−02

0.8972

4.67E+02

−4.59E−06

15

3.21E−02

1.03E−03

1.02E−03

0.9840

4.93E+03

−4.12E−08

20

4.06E−03

1.65E−05

1.65E−05

0.9980

5.37E+04

−3.47E−10

25

4.66E−04

2.17E−07

2.17E−07

0.9998