Experimental Determination of Absolute f-Values for Methane

Leo Goldberg; Orren C. Mohler; Russell E. Donovan

doi:10.1364/JOSA.42.000001

Journal of the Optical Society of America
Vol. 42,
Issue 1,
pp. 1-6
(1952)
•https://doi.org/10.1364/JOSA.42.000001

Experimental Determination of Absolute f-Values for Methane

Leo Goldberg, Orren C. Mohler, and Russell E. Donovan

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Leo Goldberg, Orren C. Mohler, and Russell E. Donovan, "Experimental Determination of Absolute f-Values for Methane," J. Opt. Soc. Am. 42, 1-6 (1952)

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Abstract

The absolute f-values of rotational lines in the positive and negative branches of the 2ν₃ overtone band of CH₄ have been derived from absorption measurements in the laboratory by two independent methods. The first method involves the use of the curve of growth and requires the observation of weak lines for which the total absorption is independent of the damping constant. In the second method the lines are broadened artificially, by the introduction of about 3 atmos of air, to half-widths that are about five times the slit width. The f-values are then determined by integration of the logarithm of the percentage absorption over the line profile. On the average, the f-values obtained by the two methods agree within 10 percent.

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Equations (16)

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	logl (cm)
Line	0.405	0.705	1.004	1.183	1.406
0–1	−5.83(3)	−5.58(3)	−5.27(3)	−5.16(3)	−4.94(3)
1–2	5.94(2)	5.63(3)	5.24(4)	5.16(3)	4.94(3)
2–3	5.58(3)	5.23(3)	4.97(3)	4.84(3)	4.69(3)
3–4	5.13(2)	4.90(4)	4.70(3)	4.58(3)	4.49(4)
4–5	5.06(2)	4.86(3)	4.60(4)	4.54(4)	4.39(3)
5–6	5.11(3)	4.85(3)	4.65(3)	4.54(3)	4.39(3)
6–7	4.93(2)	4.66(3)	4.50(3)	4.42(3)	4.31(3)
7–8	5.05(3)	4.78(3)	4.55(3)	4.43(3)	4.32(3)
8–9	5.07(3)	4.86(3)	4.55(3)	4.43(3)	4.29(3)
9–10	5.07(3)	4.86(3)	4.49(3)	4.45(3)	4.31(3)
10–11	5.31(4)	5.03(3)	4.77(3)	4.59(3)	4.47(3)
2–1	5.83(2)	5.62(3)	5.33(3)	5.20(2)	5.08(3)
3–2	5.46(3)	5.16(2)	4.92(3)	4.81(3)	4.64(2)
4–3	5.40(3)	5.08(3)	4.85(3)	4.71(3)	4.54(3)
5–4	5.45(4)	5.22(3)	4.91(3)	4.79(3)	4.62(3)
6–5	5.18(3)	4.89(3)	4.65(3)	4.56(3)	4.45(3)
7–6	5.39(3)	5.06(3)	4.81(3)	4.67(3)	4.49(3)
8–7	5.33(2)	5.10(3)	4.85(3)	4.69(3)	4.50(3)
9–8	⋯	5.21(3)	4.91(3)	4.73(3)	4.52(3)
10–9	⋯	5.05(3)	4.81(3)	4.74(3)	4.46(4)

Line	Curve of growth	Profiles
0–1	−7.42	−7.38
1–2	7.68	7.64
2–3	7.70	7.71
3–4	7.74	7.70
4–5	7.75	7.71
5–6	7.68	7.66
6–7	7.70	7.72
7–8	7.69	7.69
8–9	7.67	7.67
9–10	7.64	7.72
10–11	7.72	7.76
2–1	8.13	8.19
3–2	8.06	8.07
4–3	8.05	7.94
5–4	8.07	8.05
6–5	7.99	8.04
7–6	8.04	8.03
8–7	8.00	8.05
9–8	8.07	8.04
10–9	−7.78	−7.91

Line	logW/λ	Eq. (11)	Eq. (5)
0–1	−5.02	−7.38	−7.38
1–2	5.04	7.64	7.64
2–3	4.70	7.71	7.71
3–4	4.32	7.76	7.70
4–5	4.24	7.77	7.71
5–6	4.27	7.71	7.66
6–7	4.12	7.80	7.72
7–8	4.24	7.76	7.69
8–9	4.29	7.75	7.67
9–10	4.33	7.76	7.72
10–11	−4.52	−7.81	−7.76

Line	logf_JJ_′	A	logf_JJ_′−logA
0–1	−7.40	3	−7.88
1–2	7.66	5/3	7.88
2–3	7.70	7/5	7.85
3–4	7.72	9/7	7.83
4–5	7.73	11/9	7.82
5–6	7.67	13/11	7.74
6–7	7.71	15/13	7.77
7–8	7.69	17/15	7.74
8–9	7.67	19/17	7.72
9–10	7.68	21/19	7.72
10–11	7.74	23/21	7.78
2–1	8.16	3/5	7.94
3–2	8.06	5/7	7.91
4–3	8.00	7/9	7.89
5–4	8.06	9/11	7.97
6–5	8.02	11/13	7.95
7–6	8.04	13/15	7.98
8–7	8.02	15/17	7.96
9–8	8.06	17/19	8.01
10–9	−7.84	19/21	−7.79

	logl (cm)
Line	0.405	0.705	1.004	1.183	1.406
0–1	−5.83(3)	−5.58(3)	−5.27(3)	−5.16(3)	−4.94(3)
1–2	5.94(2)	5.63(3)	5.24(4)	5.16(3)	4.94(3)
2–3	5.58(3)	5.23(3)	4.97(3)	4.84(3)	4.69(3)
3–4	5.13(2)	4.90(4)	4.70(3)	4.58(3)	4.49(4)
4–5	5.06(2)	4.86(3)	4.60(4)	4.54(4)	4.39(3)
5–6	5.11(3)	4.85(3)	4.65(3)	4.54(3)	4.39(3)
6–7	4.93(2)	4.66(3)	4.50(3)	4.42(3)	4.31(3)
7–8	5.05(3)	4.78(3)	4.55(3)	4.43(3)	4.32(3)
8–9	5.07(3)	4.86(3)	4.55(3)	4.43(3)	4.29(3)
9–10	5.07(3)	4.86(3)	4.49(3)	4.45(3)	4.31(3)
10–11	5.31(4)	5.03(3)	4.77(3)	4.59(3)	4.47(3)
2–1	5.83(2)	5.62(3)	5.33(3)	5.20(2)	5.08(3)
3–2	5.46(3)	5.16(2)	4.92(3)	4.81(3)	4.64(2)
4–3	5.40(3)	5.08(3)	4.85(3)	4.71(3)	4.54(3)
5–4	5.45(4)	5.22(3)	4.91(3)	4.79(3)	4.62(3)
6–5	5.18(3)	4.89(3)	4.65(3)	4.56(3)	4.45(3)
7–6	5.39(3)	5.06(3)	4.81(3)	4.67(3)	4.49(3)
8–7	5.33(2)	5.10(3)	4.85(3)	4.69(3)	4.50(3)
9–8	⋯	5.21(3)	4.91(3)	4.73(3)	4.52(3)
10–9	⋯	5.05(3)	4.81(3)	4.74(3)	4.46(4)

Abstract

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Figures (5)

Tables (4)

Equations (16)

Journal of the Optical Society of America