Complex refractive index of ammonium nitrate in the 2–20-μm spectral range

Maurice A. Jarzembski; Mark L. Norman; Kirk A. Fuller; Vandana Srivastava; Dean R. Cutten

doi:10.1364/AO.42.000922

Applied Optics
Vol. 42,
Issue 6,
pp. 922-930
(2003)
•https://doi.org/10.1364/AO.42.000922

Complex refractive index of ammonium nitrate in the 2–20-μm spectral range

Maurice A. Jarzembski, Mark L. Norman, Kirk A. Fuller, Vandana Srivastava, and Dean R. Cutten

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Maurice A. Jarzembski, Mark L. Norman, Kirk A. Fuller, Vandana Srivastava, and Dean R. Cutten, "Complex refractive index of ammonium nitrate in the 2–20-μm spectral range," Appl. Opt. 42, 922-930 (2003)

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Abstract

Using high-resolution Fourier-transform infrared absorbance and transmittance spectral data for ammonium sulfate (AMS), calcium carbonate (CAC), and ammonium nitrate (AMN), we made comparisons with previously published complex refractive-index data for AMS and CAC to infer experimental parameters to determine the imaginary refractive index for AMN in the infrared wavelength range from 2 to 20 μm. Subtractive Kramers-Kronig mathematical relations were applied to calculate the real refractive index for the three compositions. Excellent agreement for AMS and CAC with the published values was found, validating the complex refractive index obtained for AMN. We performed backscatter calculations using a log-normal size distribution for AMS, AMN, and CAC aerosols to show differences in their backscattered spectra.

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ν (cm^-1)	λ (μm)	n	k
4600	2.17	1.56	2.75 × 10^-3
4500	2.22	1.55	5.67 × 10^-3
4400	2.27	1.55	1.91 × 10^-3
4340	2.30	1.55	5.88 × 10^-3
4300	2.33	1.55	1.96 × 10^-3
4200	2.38	1.54	1.00 × 10^-3
4100	2.44	1.53	3.09 × 10^-3
4000	2.50	1.53	3.17 × 10^-3
3900	2.56	1.51	0.00 × 10⁰
3800	2.63	1.50	8.84 × 10^-4
3700	2.70	1.48	1.13 × 10^-3
3600	2.78	1.44	9.51 × 10^-3
3500	2.86	1.40	2.40 × 10^-2
3400	2.94	1.31	5.53 × 10^-2
3300	3.03	1.25	2.09 × 10^-1
3200	3.12	1.35	4.59 × 10^-1
3121	3.20	1.55	5.07 × 10^-1
3080	3.25	1.66	4.77 × 10^-1
3060	3.27	1.69	4.18 × 10^-1
3010	3.32	1.72	4.25 × 10^-1
2980	3.36	1.81	4.16 × 10^-1
2970	3.37	1.83	3.58 × 10^-1
2950	3.39	1.82	3.11 × 10^-1
2915	3.43	1.81	2.80 × 10^-1
2900	3.45	1.82	2.74 × 10^-1
2882	3.47	1.83	2.39 × 10^-1
2850	3.51	1.83	2.09 × 10^-1
2820	3.55	1.83	1.70 × 10^-1
2800	3.57	1.82	1.50 × 10^-1
2770	3.61	1.82	1.23 × 10^-1
2750	3.64	1.81	1.01 × 10^-1
2700	3.70	1.78	6.58 × 10^-2
2650	3.77	1.75	5.16 × 10^-2
2580	3.88	1.71	3.43 × 10^-2
2520	3.97	1.68	2.78 × 10^-2
2510	3.98	1.68	2.79 × 10^-2
2480	4.03	1.67	3.57 × 10^-2
2460	4.07	1.66	3.41 × 10^-2
2415	4.14	1.64	5.66 × 10^-2
2400	4.17	1.64	7.40 × 10^-2
2395	4.18	1.64	1.04 × 10^-1
2380	4.20	1.70	5.75 × 10^-2
2350	4.26	1.68	2.98 × 10^-2
2320	4.31	1.66	1.85 × 10^-2
2280	4.39	1.65	1.12 × 10^-2
2200	4.55	1.61	1.08 × 10^-2
2090	4.78	1.57	2.06 × 10^-2
2061	4.85	1.57	2.74 × 10^-2
2040	4.90	1.56	2.11 × 10^-2
2020	4.95	1.55	2.57 × 10^-2
1957	5.11	1.53	4.33 × 10^-2
1940	5.15	1.53	4.37 × 10^-2
1900	5.26	1.51	3.93 × 10^-2
1830	5.46	1.46	4.84 × 10^-2
1800	5.56	1.44	6.13 × 10^-2
1780	5.62	1.38	6.20 × 10^-2
1770	5.65	1.33	7.73 × 10^-2
1760	5.68	1.35	2.90 × 10^-1
1745	5.73	1.49	1.08 × 10^-1
1725	5.80	1.45	1.41 × 10^-1
1710	5.85	1.43	1.45 × 10^-1
1690	5.92	1.44	1.44 × 10^-1
1660	6.02	1.42	1.30 × 10^-1
1630	6.13	1.39	1.29 × 10^-1
1600	6.25	1.33	1.34 × 10^-1
1570	6.37	1.27	1.55 × 10^-1
1540	6.49	1.17	2.00 × 10^-1
1500	6.67	1.00	3.40 × 10^-1
1480	6.76	0.85	4.65 × 10^-1
1460	6.85	0.84	8.49 × 10^-1
1430	6.99	1.05	1.17 × 10⁰
1420	7.04	1.16	1.26 × 10⁰
1400	7.14	1.50	1.67 × 10⁰
1395	7.17	1.64	1.68 × 10⁰
1390	7.19	1.77	1.69 × 10⁰
1362	7.34	2.38	1.31 × 10⁰
1341	7.46	2.56	9.25 × 10^-1
1300	7.69	2.45	4.57 × 10^-1
1280	7.81	2.37	3.40 × 10^-1
1220	8.20	2.18	1.94 × 10^-1
1180	8.47	2.11	1.59 × 10^-1
1160	8.62	2.09	1.40 × 10^-1
1120	8.93	2.04	1.22 × 10^-1
1099	9.10	2.03	1.15 × 10^-1
1070	9.35	2.02	1.05 × 10^-1
1058	9.45	2.02	7.49 × 10^-2
1042	9.60	2.03	8.94 × 10^-2
1040	9.62	2.02	7.17 × 10^-2
1020	9.80	1.98	6.42 × 10^-2
1000	10.00	1.95	6.36 × 10^-2
980	10.20	1.95	6.49 × 10^-2
960	10.42	1.94	6.16 × 10^-2
943	10.60	1.94	4.84 × 10^-2
938	10.66	1.93	4.59 × 10^-2
900	11.11	1.91	3.80 × 10^-2
880	11.36	1.88	2.70 × 10^-2
860	11.63	1.85	2.77 × 10^-2
840	11.90	1.62	5.12 × 10^-2
830	12.05	1.57	2.59 × 10^-1
822	12.16	2.72	9.66 × 10^-1
820	12.20	2.54	1.67 × 10^-1
817	12.24	2.46	3.13 × 10^-2
800	12.50	1.98	5.25 × 10^-3
740	13.51	1.89	2.87 × 10^-2
728	13.74	1.85	3.51 × 10^-2
720	13.89	1.87	7.21 × 10^-2
717	13.95	1.88	1.04 × 10^-1
710	14.08	1.94	2.38 × 10^-2
700	14.29	1.90	1.81 × 10^-2
680	14.71	1.89	0.00 × 10⁰
620	16.13	1.85	1.36 × 10^-2
580	17.24	1.84	1.45 × 10^-2
520	19.23	1.81	2.44 × 10^-2
500	20.00	1.82	4.24 × 10^-2

Ammonium Sulfate, ε_∞ = 2.29
j	λ_j	ν _j	ρ_j	γ_j
1	3.18	3140.0	0.00900	0.1000
2	4.88	2050.0	0.00020	0.0521
3	5.88	1700.0	0.00002	0.0080
4	7.07	1415.0	0.00850	0.0350
5	11.45	873.0	0.03400	0.0440
6	14.04	712.4	0.01400	0.0200
Calcium Carbonate, ε_∞ = 2.38
j	λ_j	ν _j	ρ_j	γ_j
1	7.02	1425.0	0.0320	0.0521
2	11.45	873.0	0.0055	0.0188
3	14.04	712.4	0.0004	0.0070
4	33.00	303.0	0.1400	0.0620
Ammonium Nitrate, ε_∞ = 2.62
j	λ_j	ν _j	ρ_j	γ_j
1	3.23	3100.0	0.01300	0.1000
2	4.18	2394.0	0.00020	0.0100
3	5.69	1758.0	0.00040	0.0080
4	7.31	1368.0	0.03800	0.0680
5	12.12	825.0	0.00350	0.0110
6	13.95	717.0	0.00007	0.0020

ν (cm^-1)	λ (μm)	n	k
4600	2.17	1.56	2.75 × 10^-3
4500	2.22	1.55	5.67 × 10^-3
4400	2.27	1.55	1.91 × 10^-3
4340	2.30	1.55	5.88 × 10^-3
4300	2.33	1.55	1.96 × 10^-3
4200	2.38	1.54	1.00 × 10^-3
4100	2.44	1.53	3.09 × 10^-3
4000	2.50	1.53	3.17 × 10^-3
3900	2.56	1.51	0.00 × 10⁰
3800	2.63	1.50	8.84 × 10^-4
3700	2.70	1.48	1.13 × 10^-3
3600	2.78	1.44	9.51 × 10^-3
3500	2.86	1.40	2.40 × 10^-2
3400	2.94	1.31	5.53 × 10^-2
3300	3.03	1.25	2.09 × 10^-1
3200	3.12	1.35	4.59 × 10^-1
3121	3.20	1.55	5.07 × 10^-1
3080	3.25	1.66	4.77 × 10^-1
3060	3.27	1.69	4.18 × 10^-1
3010	3.32	1.72	4.25 × 10^-1
2980	3.36	1.81	4.16 × 10^-1
2970	3.37	1.83	3.58 × 10^-1
2950	3.39	1.82	3.11 × 10^-1
2915	3.43	1.81	2.80 × 10^-1
2900	3.45	1.82	2.74 × 10^-1
2882	3.47	1.83	2.39 × 10^-1
2850	3.51	1.83	2.09 × 10^-1
2820	3.55	1.83	1.70 × 10^-1
2800	3.57	1.82	1.50 × 10^-1
2770	3.61	1.82	1.23 × 10^-1
2750	3.64	1.81	1.01 × 10^-1
2700	3.70	1.78	6.58 × 10^-2
2650	3.77	1.75	5.16 × 10^-2
2580	3.88	1.71	3.43 × 10^-2
2520	3.97	1.68	2.78 × 10^-2
2510	3.98	1.68	2.79 × 10^-2
2480	4.03	1.67	3.57 × 10^-2
2460	4.07	1.66	3.41 × 10^-2
2415	4.14	1.64	5.66 × 10^-2
2400	4.17	1.64	7.40 × 10^-2
2395	4.18	1.64	1.04 × 10^-1
2380	4.20	1.70	5.75 × 10^-2
2350	4.26	1.68	2.98 × 10^-2
2320	4.31	1.66	1.85 × 10^-2
2280	4.39	1.65	1.12 × 10^-2
2200	4.55	1.61	1.08 × 10^-2
2090	4.78	1.57	2.06 × 10^-2
2061	4.85	1.57	2.74 × 10^-2
2040	4.90	1.56	2.11 × 10^-2
2020	4.95	1.55	2.57 × 10^-2
1957	5.11	1.53	4.33 × 10^-2
1940	5.15	1.53	4.37 × 10^-2
1900	5.26	1.51	3.93 × 10^-2
1830	5.46	1.46	4.84 × 10^-2
1800	5.56	1.44	6.13 × 10^-2
1780	5.62	1.38	6.20 × 10^-2
1770	5.65	1.33	7.73 × 10^-2
1760	5.68	1.35	2.90 × 10^-1
1745	5.73	1.49	1.08 × 10^-1
1725	5.80	1.45	1.41 × 10^-1
1710	5.85	1.43	1.45 × 10^-1
1690	5.92	1.44	1.44 × 10^-1
1660	6.02	1.42	1.30 × 10^-1
1630	6.13	1.39	1.29 × 10^-1
1600	6.25	1.33	1.34 × 10^-1
1570	6.37	1.27	1.55 × 10^-1
1540	6.49	1.17	2.00 × 10^-1
1500	6.67	1.00	3.40 × 10^-1
1480	6.76	0.85	4.65 × 10^-1
1460	6.85	0.84	8.49 × 10^-1
1430	6.99	1.05	1.17 × 10⁰
1420	7.04	1.16	1.26 × 10⁰
1400	7.14	1.50	1.67 × 10⁰
1395	7.17	1.64	1.68 × 10⁰
1390	7.19	1.77	1.69 × 10⁰
1362	7.34	2.38	1.31 × 10⁰
1341	7.46	2.56	9.25 × 10^-1
1300	7.69	2.45	4.57 × 10^-1
1280	7.81	2.37	3.40 × 10^-1
1220	8.20	2.18	1.94 × 10^-1
1180	8.47	2.11	1.59 × 10^-1
1160	8.62	2.09	1.40 × 10^-1
1120	8.93	2.04	1.22 × 10^-1
1099	9.10	2.03	1.15 × 10^-1
1070	9.35	2.02	1.05 × 10^-1
1058	9.45	2.02	7.49 × 10^-2
1042	9.60	2.03	8.94 × 10^-2
1040	9.62	2.02	7.17 × 10^-2
1020	9.80	1.98	6.42 × 10^-2
1000	10.00	1.95	6.36 × 10^-2
980	10.20	1.95	6.49 × 10^-2
960	10.42	1.94	6.16 × 10^-2
943	10.60	1.94	4.84 × 10^-2
938	10.66	1.93	4.59 × 10^-2
900	11.11	1.91	3.80 × 10^-2
880	11.36	1.88	2.70 × 10^-2
860	11.63	1.85	2.77 × 10^-2
840	11.90	1.62	5.12 × 10^-2
830	12.05	1.57	2.59 × 10^-1
822	12.16	2.72	9.66 × 10^-1
820	12.20	2.54	1.67 × 10^-1
817	12.24	2.46	3.13 × 10^-2
800	12.50	1.98	5.25 × 10^-3
740	13.51	1.89	2.87 × 10^-2
728	13.74	1.85	3.51 × 10^-2
720	13.89	1.87	7.21 × 10^-2
717	13.95	1.88	1.04 × 10^-1
710	14.08	1.94	2.38 × 10^-2
700	14.29	1.90	1.81 × 10^-2
680	14.71	1.89	0.00 × 10⁰
620	16.13	1.85	1.36 × 10^-2
580	17.24	1.84	1.45 × 10^-2
520	19.23	1.81	2.44 × 10^-2
500	20.00	1.82	4.24 × 10^-2

Ammonium Sulfate, ε_∞ = 2.29
j	λ_j	ν _j	ρ_j	γ_j
1	3.18	3140.0	0.00900	0.1000
2	4.88	2050.0	0.00020	0.0521
3	5.88	1700.0	0.00002	0.0080
4	7.07	1415.0	0.00850	0.0350
5	11.45	873.0	0.03400	0.0440
6	14.04	712.4	0.01400	0.0200
Calcium Carbonate, ε_∞ = 2.38
j	λ_j	ν _j	ρ_j	γ_j
1	7.02	1425.0	0.0320	0.0521
2	11.45	873.0	0.0055	0.0188
3	14.04	712.4	0.0004	0.0070
4	33.00	303.0	0.1400	0.0620
Ammonium Nitrate, ε_∞ = 2.62
j	λ_j	ν _j	ρ_j	γ_j
1	3.23	3100.0	0.01300	0.1000
2	4.18	2394.0	0.00020	0.0100
3	5.69	1758.0	0.00040	0.0080
4	7.31	1368.0	0.03800	0.0680
5	12.12	825.0	0.00350	0.0110
6	13.95	717.0	0.00007	0.0020

Abstract

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Applied Optics