Line shifts due to blending*

A. T. Young

doi:10.1364/JOSA.68.000246

Line shifts due to blending

A. T. Young

Journal of the Optical Society of America
Vol. 68,
Issue 2,
pp. 246-250
(1978)
•https://doi.org/10.1364/JOSA.68.000246

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A. T. Young, "Line shifts due to blending*," J. Opt. Soc. Am. 68, 246-250 (1978)

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About this Article
History
- Original Manuscript: April 25, 1977
- Revised Manuscript: October 21, 1977
- Published: February 1, 1978

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Abstract

The effective position of a strong line partially blended with a weaker one is found as a function of their separation for three different line profiles and two line-position criteria. Some practical examples illustrate the use of the results.

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Line	Frequency	I	Δν	O − C
R8	12 677.9865	0.216	0	0.0035
R42	12 678.1027	0.062	0.1162	±0.004
R10	12 678.9352	0.228	0	0.0048
R40	12 679.0465	0.074	0.1113	±0.005
R12	12 679.7669	0.235	0	0.0121
R38	12 679.8701	0.086	0.1032	±0.003
R14	12 680.4817	0.237	0	0.0073
R36	12 680.5739	0.100	0.0922	±0.005
R16	12 681.0793	0.235	0	0.0157
R34	12 681.1581	0.115	0.0788	±0.005
R18	12 681.5597	0.229	0	0.0123
R32	12 681.6230	0.131	0.0633	±0.003

line	f	Δ_i	w_i	(Δw)_i	δ	Δν(cm⁻¹)
R14	1	0	1.000	0.000
R36	0.423	1.024	0.148	+0.152
		sums:	1.148	0.152	0.132	0.0119
second iteration
R14	1	−0.132	0.983	−0.130
R36	0.423	+0.892	0.191	+0.170
			1.174	0.040	0.034	0.0031
third iteration
R14	1	−0.166	0.973	−0.162
R36	0.423	+0.858	0.203	+0.174
			1.176	0.012	0.011	0.0010
fourth iteration
R14	1	−0.177	0.969	−0.172
R36	0.423	+0.847	0.206	+0.174
			1.175	0.002	0.002	0.0002
		Total displacement:			0.179	0.0161

Line	Frequency	I	Δν	O − C
R8	12 677.9865	0.216	0	0.0035
R42	12 678.1027	0.062	0.1162	±0.004
R10	12 678.9352	0.228	0	0.0048
R40	12 679.0465	0.074	0.1113	±0.005
R12	12 679.7669	0.235	0	0.0121
R38	12 679.8701	0.086	0.1032	±0.003
R14	12 680.4817	0.237	0	0.0073
R36	12 680.5739	0.100	0.0922	±0.005
R16	12 681.0793	0.235	0	0.0157
R34	12 681.1581	0.115	0.0788	±0.005
R18	12 681.5597	0.229	0	0.0123
R32	12 681.6230	0.131	0.0633	±0.003

line	f	Δ_i	w_i	(Δw)_i	δ	Δν(cm⁻¹)
R14	1	0	1.000	0.000
R36	0.423	1.024	0.148	+0.152
		sums:	1.148	0.152	0.132	0.0119
second iteration
R14	1	−0.132	0.983	−0.130
R36	0.423	+0.892	0.191	+0.170
			1.174	0.040	0.034	0.0031
third iteration
R14	1	−0.166	0.973	−0.162
R36	0.423	+0.858	0.203	+0.174
			1.176	0.012	0.011	0.0010
fourth iteration
R14	1	−0.177	0.969	−0.172
R36	0.423	+0.847	0.206	+0.174
			1.175	0.002	0.002	0.0002
		Total displacement:			0.179	0.0161

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Equations (10)

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