A Calibration Method for Infra-Red Prism Spectrometers1

D. S. McKinney; R. A. Friedel

doi:10.1364/JOSA.38.000222

Journal of the Optical Society of America
Vol. 38,
Issue 3,
pp. 222-225
(1948)
•https://doi.org/10.1364/JOSA.38.000222

A Calibration Method for Infra-Red Prism Spectrometers

D. S. McKinney and R. A. Friedel

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D. S. McKinney and R. A. Friedel, "A Calibration Method for Infra-Red Prism Spectrometers1," J. Opt. Soc. Am. 38, 222-225 (1948)

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Abstract

A method of high accuracy applicable to various prisms in infra-red spectrometry has been used to calibrate NaCl and KBr prisms. The method requires only a small number of experimental bands, is practically independent of resolving power, provides an extensive wave-length range, and permits a tabulated calibration without the necessity of drawing calibration curves. The procedure is described in detail with an example.

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	Compound	Wave-length in microns^a	Frequency in cm⁻¹^a	Screw-turn T^b	$\frac{1}{{ν_{2}}^{2} - ν^{2}}$	$\frac{B}{{ν_{2}}^{2} - ν^{2}}$	Aν²	T₀
I	Na	0.5890	16,969	2,166.6	−0.37431·10⁻⁸	−2.222	390.744	−1778.08
II	H₂O	2.673	3,741	1,740.6	−7.15335·10⁻⁸	−45.774	18.991	−1777.38
III	CO₂	4.225	2,367	1,670.0	−17.8984·10⁻⁸	−114.532	7.603	−1776.93
IV	H₂O	5.463	1,830	1,590.2	−30.0005·10⁻⁸	−191.973	4.544	−1777.63
V	H₂O	6.107	1,637	1,541.1	−37.5355·10⁻⁸	−240.190	3.636	−1777.65
VI	H₂O	6.784	1,474	1,483.9	−46.3596·10⁻⁸	−296.656	2.948	−1777.61
VII	NH₃	8.490	1,177.9	1,313.1	−72.8957·10⁻⁸	−466.460	1.883	−1777.68
VIII	NH₃	9.057	1,104.1	1,247.5	−83.0971·10⁻⁸	−531.739	1.654	−1777.58
IX	NH₃	9.876	1,012.6	1,145.9	−99.0360·10⁻⁸	−633.733	1.391	−1778.25
X	NH₃	10.540	948.8	1,056	−113.0459·10⁻⁸	−723.382	1.222	−1778.56
XI	NH₃	11.206	892.4	959.5	−128.081·10⁻⁸	−819.594	1.081	−1778.01
XII	NH₃	12.075	828.2	823.6	−149.189·10⁻⁸	−954.663	0.931	−1777.34
XIII^c	CO₂	13.875	720.7	507.5	−198.498·10⁻⁸	−1270.191	0.705	−1776.99
XIV	CO₂	14.97	668.0	293.1	−232.235·10⁻⁸	−1486.074	0.606	−1778.57

	Compound	Wave-length in microns	Frequency in cm⁻¹	Screw-turn^a T
I	CO₂	14.970	668.0	1334.0
II	CO₂	16.181	618.0	1243.7
III	CH₃OH	18.215	549.0	1083.7
IV	H₂O	19.003	526.23	1016.0
V	H₂O	19.902	502.45	935.5
VI	H₂O	21.155	472.68	814.0
VII	H₂O	21.831	458.05	744.5
VIII	H₂O	23.854	419.20	518.5
IX	H₂O	25.137	397.81	363.0
X	H₂O	25.962	385.17	256.0
XI	H₂O	26.628	375.54	170.0
XII	H₂O	27.020	370.09	115.5

	Compound	Wave-length in microns^a	Frequency in cm⁻¹^a	Screw-turn T^b	$\frac{1}{{ν_{2}}^{2} - ν^{2}}$	$\frac{B}{{ν_{2}}^{2} - ν^{2}}$	Aν²	T₀
I	Na	0.5890	16,969	2,166.6	−0.37431·10⁻⁸	−2.222	390.744	−1778.08
II	H₂O	2.673	3,741	1,740.6	−7.15335·10⁻⁸	−45.774	18.991	−1777.38
III	CO₂	4.225	2,367	1,670.0	−17.8984·10⁻⁸	−114.532	7.603	−1776.93
IV	H₂O	5.463	1,830	1,590.2	−30.0005·10⁻⁸	−191.973	4.544	−1777.63
V	H₂O	6.107	1,637	1,541.1	−37.5355·10⁻⁸	−240.190	3.636	−1777.65
VI	H₂O	6.784	1,474	1,483.9	−46.3596·10⁻⁸	−296.656	2.948	−1777.61
VII	NH₃	8.490	1,177.9	1,313.1	−72.8957·10⁻⁸	−466.460	1.883	−1777.68
VIII	NH₃	9.057	1,104.1	1,247.5	−83.0971·10⁻⁸	−531.739	1.654	−1777.58
IX	NH₃	9.876	1,012.6	1,145.9	−99.0360·10⁻⁸	−633.733	1.391	−1778.25
X	NH₃	10.540	948.8	1,056	−113.0459·10⁻⁸	−723.382	1.222	−1778.56
XI	NH₃	11.206	892.4	959.5	−128.081·10⁻⁸	−819.594	1.081	−1778.01
XII	NH₃	12.075	828.2	823.6	−149.189·10⁻⁸	−954.663	0.931	−1777.34
XIII^c	CO₂	13.875	720.7	507.5	−198.498·10⁻⁸	−1270.191	0.705	−1776.99
XIV	CO₂	14.97	668.0	293.1	−232.235·10⁻⁸	−1486.074	0.606	−1778.57

	Compound	Wave-length in microns	Frequency in cm⁻¹	Screw-turn^a T
I	CO₂	14.970	668.0	1334.0
II	CO₂	16.181	618.0	1243.7
III	CH₃OH	18.215	549.0	1083.7
IV	H₂O	19.003	526.23	1016.0
V	H₂O	19.902	502.45	935.5
VI	H₂O	21.155	472.68	814.0
VII	H₂O	21.831	458.05	744.5
VIII	H₂O	23.854	419.20	518.5
IX	H₂O	25.137	397.81	363.0
X	H₂O	25.962	385.17	256.0
XI	H₂O	26.628	375.54	170.0
XII	H₂O	27.020	370.09	115.5

Abstract

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Figures (6)

Tables (2)

Equations (3)

Journal of the Optical Society of America