Optical constants of liquid and solid methane

John V. Martonchik; Glenn S. Orton

doi:10.1364/AO.33.008306

Applied Optics
Vol. 33,
Issue 36,
pp. 8306-8317
(1994)
•https://doi.org/10.1364/AO.33.008306

Optical constants of liquid and solid methane

John V. Martonchik and Glenn S. Orton

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John V. Martonchik and Glenn S. Orton, "Optical constants of liquid and solid methane," Appl. Opt. 33, 8306-8317 (1994)

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Abstract

The optical constants n _r + in _i of liquid methane and phase I solid methane were determined over the entire spectral range by the use of various data sources published in the literature. Kramers–Kronig analyses were performed on the absorption spectra of liquid methane at the boiling point (111 K) and the melting point (90 K) and on the absorption spectra of phase I solid methane at the melting point and at 30 K. Measurements of the static dielectric constant at these temperatures and refractive indices determined over limited spectral ranges were used as constraints in the analyses. Applications of methane optical properties to studies of outer solar system bodies are described.

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Frequency (cm⁻¹)	n _r a	n _r b	n _r c	n _r d	Wavelength (μm)
0	1.274	1.268	1.274	1.282	∞
5000	1.278	1.260	1.267	1.275	2.0
8333	1.280	1.262	1.268	1.277	1.2
10 000	1.280	1.262	1.269	1.277	1.0
12 500	1.281	1.264	1.270	1.279	0.8
16 667	1.283	1.266	1.273	1.282	0.6
25 000	1.286	1.273	1.281	1.289	0.4

Frequency (cm⁻¹)	n _r (111 K)	n _i (111 K)	n _r (90 K)	n _i (90 K)	Wavelength (μm)
0.0	1.274	0.000	1.293	0.000	—
140.0	1.273	1.353 × 10⁻³	1.292	1.442 × 10⁻³	71.43
240.0	1.272−	6.234 × 10⁻⁴	1.291−	6.645 × 10⁻⁴	41.67
1210.0	1.310+	1.001 × 10⁻²	1.332+	1.067 × 10⁻²	8.26
1230.0	1.305−	2.002 × 10⁻²	1.326−	2.135 × 10⁻²	8.13
1282.5	1.342+	7.499 × 10⁻²	1.365+	7.994 × 10⁻²	7.80
1300.0	1.258	1.600 × 10⁻¹	1.275	1.706 × 10⁻¹	7.69
1317.5	1.182−	7.249 × 10⁻²	1.195−	7.728 × 10⁻²	7.59
2800.0	1.284+	1.000 × 10⁻²	1.303+	1.066 × 10⁻²	3.57
2915.0	1.281−	2.000 × 10⁻²	1.301−	2.132 × 10⁻²	3.43
2965.0	1.291+	3.500 × 10⁻²	1.311+	3.731 × 10⁻²	3.37
3000.0	1.260	7.000 × 10⁻²+	1.278	7.462 × 10⁻²+	3.33
3040.0	1.227−	3.000 × 10⁻²	1.243−	3.198 × 10⁻²	3.29
5120.0	1.267	8.393 × 10⁻⁷+	1.285	8.947 × 10⁻⁷+	1.953
5175.0	1.267	1.476 × 10⁻⁶+	1.285	1.574 × 10⁻⁶+	1.932
8055.0	1.268	7.903 × 10⁻⁸+	1.287	8.425 × 10⁻⁸+	1.241
8095.0	1.268	1.573 × 10⁻⁷+	1.287	1.677 × 10⁻⁷+	1.235
9865.0	1.269	9.438 × 10⁻⁷+	1.288	1.006 × 10⁻⁶+	1.014
10 000.0	1.269	7.799 × 10⁻⁷+	1.288	8.313 × 10⁻⁷+	1.000
10 130.0	1.269	5.892 × 10⁻⁷+	1.288	6.281 × 10⁻⁷+	0.9872
10 265.0	1.269	4.651 × 10⁻⁷+	1.288	4.958 × 10⁻⁷+	0.9742
11 255.0	1.270	1.782 × 10⁻⁶+	1.288	1.899 × 10⁻⁶+	0.8885
11 530.0	1.270	3.106 × 10⁻⁷+	1.288	3.311 × 10⁻⁷+	0.8673
11 880.0	1.270	4.689 × 10⁻⁸+	1.289	4.998 × 10⁻⁸+	0.8418
12 510.0	1.270	5.725 × 10⁻⁸+	1.289	6.103 × 10⁻⁸+	0.7994
12 740.0	1.270	3.748 × 10⁻⁸+	1.289	3.995 × 10⁻⁸+	0.7849
13 700.0	1.271	9.294 × 10⁻⁸+	1.290	9.907 × 10⁻⁸+	0.7299
13 940.0	1.271	1.085 × 10⁻⁷+	1.290	1.156 × 10⁻⁷+	0.7174
14 170.0	1.271	7.862 × 10⁻⁹+	1.290	8.381 × 10⁻⁹+	0.7057
14 585.0	1.271	2.510 × 10⁻⁹+	1.290	2.675 × 10⁻⁹+	0.6856
14 935.0	1.272	4.476 × 10⁻⁹+	1.290	4.771 × 10⁻⁹+	0.6696
16 090.0	1.272	1.830 × 10⁻⁷+	1.291	1.951 × 10⁻⁷+	0.6215
16 715.0	1.273	1.095 × 10⁻⁹+	1.292	1.167 × 10⁻⁹+	0.5983
17 150.0	1.273	1.160 × 10⁻⁹+	1.292	1.237 × 10⁻⁹+	0.5831
25 000.0	1.280	0.000	1.300	0.000	0.4000
74 773.0	1.659+	1.702 × 10⁻¹	1.704+	1.814 × 10⁻¹	0.1337
83 333.0	1.455	3.128 × 10⁻¹+	1.486	3.336 × 10⁻¹+	0.1200
86 051.0	1.442−	3.024 × 10⁻¹	1.472−	3.225 × 10⁻¹	0.1162
91 991.2	1.476+	3.527 × 10⁻¹	1.508+	3.761 × 10⁻¹	0.1087
98 809.5	1.417−	4.472 × 10⁻¹	1.446−	4.768 × 10⁻¹	0.1012
100 000.0	1.420+	4.551 × 10⁻¹	1.448+	4.853 × 10⁻¹	0.1000
111 111.0	1.196	6.096 × 10⁻¹+	1.209	6.501 × 10⁻¹+	0.0900
183 333.5	0.864−	2.004 × 10⁻¹	0.856−	2.137 × 10⁻¹	0.0545
5 000 000.0	1.000	0.000	1.001	0.000	0.0020

Frequency (cm ⁻¹)	n _r (90 K)	n _i (90 K)	n _r (30 K)	n _i (30 K)	Wavelength (μm)
0.0	1.319	0.000	1.329	0.000
100.0	1.318	2.387 × 10⁻³	1.327	3.740 × 10⁻³	100.00
160.0	1.317	2.636 × 10⁻³+	1.326	2.114 × 10⁻³	62.50
275.0	1.316−	7.624 × 10⁻⁴	1.326−	7.624 × 10⁻⁴	36.36
1297.0	1.845+	5.199 × 10⁻¹	1.866+	5.305 × 10⁻¹	7.71
1300.0	1.265	9.598 × 10⁻¹+	1.274	9.794 × 10⁻¹+	7.69
1302.9	0.810−	4.585 × 10⁻¹	0.809−	4.679 × 10⁻¹	7.68
2805.0	1.321+	2.570 × 10⁻³	1.331+	2.622 × 10⁻³	3.57
2820.0	1.319	4.574 × 10⁻³+	1.329	4.667 × 10⁻³+	3.55
2830.0	1.318−	2.877 × 10⁻³	1.328−	2.936 × 10⁻³	3.53
3002.8	1.451+	1.107 × 10⁻¹	1.463+	1.130 × 10⁻¹	3.33
3010.0	1.339	2.564 × 10⁻¹+	1.349	2.617 × 10⁻¹+	3.32
3016.8	1.190−	1.312 × 10⁻¹	1.193−	1.388 × 10⁻¹	3.32
4200.0	1.316+	5.547 × 10⁻³	1.325+	5.660 × 10⁻³	2.38
4203.0	1.312	9.199 × 10⁻³+	1.321	9.387 × 10⁻³+	2.38
4207.5	1.306−	5.058 × 10⁻³	1.316−	5.161 × 10⁻³	2.38
4293.0	1.314+	3.096 × 10⁻³	1.323+	3.160 × 10⁻³	2.33
4303.0	1.310	6.189 × 10⁻³+	1.320	6.316 × 10⁻³	2.32
4315.0	1.307−	3.453 × 10⁻³	1.317−	3.523 × 10⁻³	2.32
5567.0	1.311	1.807 × 10⁻⁴+	1.321	1.844 × 10⁻⁴+	1.796
5602.0	1.311	8.213 × 10⁻⁵+	1.321	8.381 × 10⁻⁵	1.785
5802.0	1.311	2.446 × 10⁻⁴+	1.321	2.496 × 10⁻⁴+	1.724
5993.0	1.311	4.737 × 10⁻⁴+	1.321	4.833 × 10⁻⁴	1.669
7082.0	1.312	2.368 × 10⁻⁵+	1.322	2.416 × 10⁻⁵+	1.412
7131.0	1.312	3.642 × 10⁻⁵+	1.322	3.716 × 10⁻⁵	1.402
7220.0	1.312	9.073 × 10⁻⁶+	1.322	9.258 × 10⁻⁶+	1.385
7294.0	1.312	1.828 × 10⁻⁵+	1.322	1.866 × 10⁻⁵	1.371
7483.0	1.312	5.023 × 10⁻⁵+	1.322	5.126 × 10⁻⁵+	1.336
8587.0	1.313	4.577 × 10⁻⁵+	1.322	4.671 × 10⁻⁵+	1.165
8784.0	1.313	1.900 × 10⁻⁵+	1.322	1.939 × 10⁻⁵+	1.138
10 000.0	1.313	0.000	1.323	0.000	1.000
25 000.0	1.326	0.000	1.336	0.000	0.4000
74 773.0	1.767+	1.981 × 10⁻¹	1.791+	2.042 × 10⁻¹	0.1337
83 333.0	1.530	3.632 × 10⁻¹+	1.546	3.744 × 10⁻¹+	0.1200
86 051.0	1.515−	3.518 × 10⁻¹	1.531−	3.627 × 10⁻¹	0.1162
91 991.0	1.554+	4.104 × 10⁻¹	1.571+	4.231 × 10⁻¹	0.1087
98 810.0	1.486−	5.203 × 10⁻¹	1.501−	5.364 × 10⁻¹	0.1012
101 316.0	1.491+	5.681 × 10⁻¹	1.506+	5.856 × 10⁻¹	0.0987
111 111.0	1.228	7.096 × 10⁻¹+	1.235	7.315 × 10⁻¹+	0.0900
183 334.0	0.842−	2.332 × 10⁻¹	0.837−	2.404 × 10⁻¹	0.0545
875 000.0	0.993+	2.607 × 10⁻³	0.993+	2.688 × 10⁻³	0.0114
5 000 000.0	0.971	0.000	0.970	0.000	0.0020

T (K)	ρ (gm cm⁻³)	ɛ _s	CM (cm³ mol⁻¹)
111	0.424a	1.623a	6.51
90 (liquid)	0.452b	1.672a	6.50
90 (solid)	0.492b	1.740a	6.45
30	0.502b	1.766c	6.50

Frequency (cm⁻¹)	n _r a	n _r b	n _r c	n _r d	Wavelength (μm)
0	1.274	1.268	1.274	1.282	∞
5000	1.278	1.260	1.267	1.275	2.0
8333	1.280	1.262	1.268	1.277	1.2
10 000	1.280	1.262	1.269	1.277	1.0
12 500	1.281	1.264	1.270	1.279	0.8
16 667	1.283	1.266	1.273	1.282	0.6
25 000	1.286	1.273	1.281	1.289	0.4

Abstract

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Tables (4)

Equations (5)

Applied Optics