A. Goldman, T. G. Kyle, and F. S. Bonomo, "Statistical Band Model Parameters and Integrated Intensities for the 5.9-μ, 7.5-μ, and 11.3-μ, Bands of HNO3 Vapor," Appl. Opt. 10, 65-73 (1971)
Quantitative absorption measurements of the 5.9-μ, 7.5-μ, and the 11.3-μ bands of pure HNO3 vapor were carried out at 40°C. Use was made of absorption cells of various lengths in order to obtain curves of growth. The statistical spectral band model was applied, and band model parameters and integrated intensities were derived.
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
Band Model Parameters of HNO3 at 40°C Between 850.0 cm−1 and 920.0 cm−1
ν (cm−1)
x/L (cm−1)
2πγ∘/d (atm−1)
s∘/d (cm−1 atm−1)
850.0
1.973@−03
1.114@+03
2.197@+00
652.5
6.446@−03
4.616@+02
2.975@+00
855.0
9.205@−03
4.249@+02
3.911@+00
857.5
1.182@−02
4.257@+02
5.032@+00
860.0
1.315@−02
4.681@+02
6.154@+00
862.5
1.574@−02
4.617@+02
7.268@+00
865.0
1.739@−02
4.686@+02
8.150@+00
867.5
1.921@−02
4.590@+02
8.817@+00
870.0
1.876@−02
4.914@+02
9.217@+00
872.5
1.923@−02
4.884@+02
9.389@+00
875.0
1.605@−02
5.896@+02
9.461@+00
877.5
1.859@−02
5.676@+02
1.055@+01
880.0
1.922@−02
6.013@+02
1.156@+01
882.5
1.987@−02
5.678@+02
1.128@+01
885.0
2.074@−02
5.35l@+02
1.110@+01
887.5
2.264@−02
4.965@+02
1.124@+01
890.0
2.214@−02
5.047@+02
1.117@+01
892.5
2.145@−02
5.394@+02
1.157@+01
895.0
1.788@−02
6.936@+02
1.240@+01
897.5
1.152@−02
1.063@+03
1.224@+01
900.0
8.040@−03
1.305@+03
1.049@+01
907.5
8.517@−03
1.014@+03
8.638@+00
905.0
1.157@−02
6.487@+02
7.509@+00
907.5
1.676@−02
4.078@+02
6.835@+00
910.0
5.116@−03
1.199@+03
6.136@+00
912.5
1.217@−02
4.652@+02
5.661@+00
915.0
1.118@−02
4.383@+02
4.899@+00
917.5
8.175@−03
4.756@+02
3.888@+00
920.0
7.406@−03
3.870@+02
2.866@+00
Table II
Band Model Parameters of HNO3 at 40°C Between 1675.0 cm−1 and 1737.5 cm−1
ν (cm−1)
x/L (cm−1)
2πγ∘/d (atm−1)
s∘/d (cm−1 atm−1)
1275.0
8.234@−03
3.435@+02
2.828@+00
1277.5
1.359@−02
2.763@+02
3.756@+00
1280.0
9.274@−03
4.972@+02
4.611@+00
1232.5
6.395@−03
6.685@+02
5.612@+00
1285.0
9.659@−03
5.852@+02
6.755@+00
1287.5
1.345@−02
5.385@+02
7.912@+00
1290.0
1.531@−02
5.209@+02
8.759@+00
1292.5
1.602@−02
5.963@+02
9.552@+00
1295.0
1.472@−02
7.138@+02
1.051@+01
1297.5
1.263@−02
9.402@+02
1.187@+01
1300.0
1.199@−02
1.146@+03
1.374@+01
1302.5
1.020@−02
1.552@+03
1.593@+01
1305.0
1.028@−02
1.751@+03
1.900@+01
1307.5
6.541@−03
3.024@+03
1.978@+01
1310.0
1.318@−02
1.633@+03
2.151@+01
1312.5
2.543@−02
9.891@+02
2.297@+01
1315.0
2.335@−02
9.891@+02
2.309@+01
1317.5
2.214@−02
1.391@+03
2.286@+01
1320.0
1.559@−02
1.391@+03
2.168@+01
1322.5
1.170@−02
1.799@+03
2.105@+01
1325.0
1.541@−02
1.383@+03
2.132@+01
1327.5
1.898@−02
1.028@+03
1.951@+01
1330.0
1.577@−02
1.067@+03
1.682@+01
1332.5
1.820@−02
8.718@+02
1.586@+01
1335.0
2.681@−02
6.124@+ 02
1.642@+01
1337.5
3.365@−02
5.125@+02
1.725@+01
1340.0
2.907@−02
6.149@+02
1.737@+01
1342.5
1.790@−02
9.716@+02
1.739@+01
1345.0
8.048@−03
1.846@+03
1.496@+01
1347.5
5.356@−03
2.181@+03
1.168@+0l
1350.0
2.970@−03
2.934@+03
9.716@+00
Table III
Band Model Parameters of HNO3 at 40°C Between 1275.0 cm−1 and 1350.0 cm−1
ν (cm−1)
x/L (cm−1)
2πγ∘/d (atm−1)
s∘/d (cm−1 atm−1)
1675.0
2.057@−02
2.432@+02
5.003@+00
1677.5
1.561@−02
4.266@+02
6.659@+00
1680.0
1.575@−02
5.589@+02
8.803@+00
1682.5
1.948@−02
5.769@+02
1.124@+01
1685.0
2.225@−02
6.346@+02
1.412@+01
1687.5
2.442@−02
7.017@+02
1.713@+01
1690.0
2.779@−02
7.135@+02
1.983@+01
1692.5
2.906@−02
7.550@+02
2.194@+01
1695.0
3.159@−02
7.381@+02
2.331@+01
1697.5
3.501@−02
6.807@+02
2.383@+01
1700.0
3.264@−02
7.223@+02
2.358@+01
1702.5
2.353@−02
9.955@+02
2.342@+01
1705.0
1.050@−02
2.2l2@+02
2.322@+01
1707.5
1.617@−02
1.340@+02
2.167@+01
1710.0
1.580@−02
1.329@+02
2.109@+01
1712.5
1.648@−02
1.546@+02
2.547@+01
1715.0
1.962@−02
1.375@+02
2.699@+01
1717.5
2.704@−02
9.460@+02
2.558@+01
1720.0
3.200@−02
8.075@+02
2.584@+01
1722.5
3.421@−02
7.615@+02
2.605@+01
1725.0
3.205@−02
7.735@+02
2.479@+01
1727.5
3.482@−02
6.361@+02
2.215@+01
1730.0
3.205@−02
5.515@+02
1.768@+01
1732.5
2.962@−02
4.458@+02
1.320@+01
1735.0
4.170@−02
2.259@+02
9.420@+00
1737.5
4.491@−02
1.402@+02
6.296@+00
Table IV
Derivation of Band Model Parameters for ν = 1700 cm@−1
L (cm)
yi observed (atm−1)
yj fitted (atm−1)
Error (%)
a
b
a1
a2
a3
b
a1
a2
a3
b
1.020
24.54
23.32
23.29
23.80
23.76
22.24
5.3
3.0
3.2
4.8
2.028
44.58
46.81
44.94
45.66
45.44
43.46
0.8
2.4
1.9
7.7
4.930
97.17
92.31
101.1
101.4
100.7
100.8
3.9
4.3
3.6
8.4
9.940
185.2
194.4
182.5
180.2
180.2
189.2
1.5
2.7
2.7
2.7
Case
x/L (cm−1)
2πγ0/d (atm−1)
S∘/d (cm−1 atm−1)
a1
0.03264
722.3
23.58
a2
0.03984
609.1
24.27
a3
0.02320
1049.
24.35
b
0.01817
1222.
22.20
a, yj as obtained from the data.
b, Change of +5% in points y1, y3, −5% in points y2, y4.
a1, Exponential intensity distribution according to Eq. (6); least squares according to Eq. (10).
a2, Exponential intensity distribution according to Eq. (6); iteration calculation according to Eqs. (11)–(13).
a3, S−1 tailed exponential intensity according to Eq. (7); iteration calculation according to Eqs. (11)–(13).
Band Model Parameters of HNO3 at 40°C Between 850.0 cm−1 and 920.0 cm−1
ν (cm−1)
x/L (cm−1)
2πγ∘/d (atm−1)
s∘/d (cm−1 atm−1)
850.0
1.973@−03
1.114@+03
2.197@+00
652.5
6.446@−03
4.616@+02
2.975@+00
855.0
9.205@−03
4.249@+02
3.911@+00
857.5
1.182@−02
4.257@+02
5.032@+00
860.0
1.315@−02
4.681@+02
6.154@+00
862.5
1.574@−02
4.617@+02
7.268@+00
865.0
1.739@−02
4.686@+02
8.150@+00
867.5
1.921@−02
4.590@+02
8.817@+00
870.0
1.876@−02
4.914@+02
9.217@+00
872.5
1.923@−02
4.884@+02
9.389@+00
875.0
1.605@−02
5.896@+02
9.461@+00
877.5
1.859@−02
5.676@+02
1.055@+01
880.0
1.922@−02
6.013@+02
1.156@+01
882.5
1.987@−02
5.678@+02
1.128@+01
885.0
2.074@−02
5.35l@+02
1.110@+01
887.5
2.264@−02
4.965@+02
1.124@+01
890.0
2.214@−02
5.047@+02
1.117@+01
892.5
2.145@−02
5.394@+02
1.157@+01
895.0
1.788@−02
6.936@+02
1.240@+01
897.5
1.152@−02
1.063@+03
1.224@+01
900.0
8.040@−03
1.305@+03
1.049@+01
907.5
8.517@−03
1.014@+03
8.638@+00
905.0
1.157@−02
6.487@+02
7.509@+00
907.5
1.676@−02
4.078@+02
6.835@+00
910.0
5.116@−03
1.199@+03
6.136@+00
912.5
1.217@−02
4.652@+02
5.661@+00
915.0
1.118@−02
4.383@+02
4.899@+00
917.5
8.175@−03
4.756@+02
3.888@+00
920.0
7.406@−03
3.870@+02
2.866@+00
Table II
Band Model Parameters of HNO3 at 40°C Between 1675.0 cm−1 and 1737.5 cm−1
ν (cm−1)
x/L (cm−1)
2πγ∘/d (atm−1)
s∘/d (cm−1 atm−1)
1275.0
8.234@−03
3.435@+02
2.828@+00
1277.5
1.359@−02
2.763@+02
3.756@+00
1280.0
9.274@−03
4.972@+02
4.611@+00
1232.5
6.395@−03
6.685@+02
5.612@+00
1285.0
9.659@−03
5.852@+02
6.755@+00
1287.5
1.345@−02
5.385@+02
7.912@+00
1290.0
1.531@−02
5.209@+02
8.759@+00
1292.5
1.602@−02
5.963@+02
9.552@+00
1295.0
1.472@−02
7.138@+02
1.051@+01
1297.5
1.263@−02
9.402@+02
1.187@+01
1300.0
1.199@−02
1.146@+03
1.374@+01
1302.5
1.020@−02
1.552@+03
1.593@+01
1305.0
1.028@−02
1.751@+03
1.900@+01
1307.5
6.541@−03
3.024@+03
1.978@+01
1310.0
1.318@−02
1.633@+03
2.151@+01
1312.5
2.543@−02
9.891@+02
2.297@+01
1315.0
2.335@−02
9.891@+02
2.309@+01
1317.5
2.214@−02
1.391@+03
2.286@+01
1320.0
1.559@−02
1.391@+03
2.168@+01
1322.5
1.170@−02
1.799@+03
2.105@+01
1325.0
1.541@−02
1.383@+03
2.132@+01
1327.5
1.898@−02
1.028@+03
1.951@+01
1330.0
1.577@−02
1.067@+03
1.682@+01
1332.5
1.820@−02
8.718@+02
1.586@+01
1335.0
2.681@−02
6.124@+ 02
1.642@+01
1337.5
3.365@−02
5.125@+02
1.725@+01
1340.0
2.907@−02
6.149@+02
1.737@+01
1342.5
1.790@−02
9.716@+02
1.739@+01
1345.0
8.048@−03
1.846@+03
1.496@+01
1347.5
5.356@−03
2.181@+03
1.168@+0l
1350.0
2.970@−03
2.934@+03
9.716@+00
Table III
Band Model Parameters of HNO3 at 40°C Between 1275.0 cm−1 and 1350.0 cm−1
ν (cm−1)
x/L (cm−1)
2πγ∘/d (atm−1)
s∘/d (cm−1 atm−1)
1675.0
2.057@−02
2.432@+02
5.003@+00
1677.5
1.561@−02
4.266@+02
6.659@+00
1680.0
1.575@−02
5.589@+02
8.803@+00
1682.5
1.948@−02
5.769@+02
1.124@+01
1685.0
2.225@−02
6.346@+02
1.412@+01
1687.5
2.442@−02
7.017@+02
1.713@+01
1690.0
2.779@−02
7.135@+02
1.983@+01
1692.5
2.906@−02
7.550@+02
2.194@+01
1695.0
3.159@−02
7.381@+02
2.331@+01
1697.5
3.501@−02
6.807@+02
2.383@+01
1700.0
3.264@−02
7.223@+02
2.358@+01
1702.5
2.353@−02
9.955@+02
2.342@+01
1705.0
1.050@−02
2.2l2@+02
2.322@+01
1707.5
1.617@−02
1.340@+02
2.167@+01
1710.0
1.580@−02
1.329@+02
2.109@+01
1712.5
1.648@−02
1.546@+02
2.547@+01
1715.0
1.962@−02
1.375@+02
2.699@+01
1717.5
2.704@−02
9.460@+02
2.558@+01
1720.0
3.200@−02
8.075@+02
2.584@+01
1722.5
3.421@−02
7.615@+02
2.605@+01
1725.0
3.205@−02
7.735@+02
2.479@+01
1727.5
3.482@−02
6.361@+02
2.215@+01
1730.0
3.205@−02
5.515@+02
1.768@+01
1732.5
2.962@−02
4.458@+02
1.320@+01
1735.0
4.170@−02
2.259@+02
9.420@+00
1737.5
4.491@−02
1.402@+02
6.296@+00
Table IV
Derivation of Band Model Parameters for ν = 1700 cm@−1
L (cm)
yi observed (atm−1)
yj fitted (atm−1)
Error (%)
a
b
a1
a2
a3
b
a1
a2
a3
b
1.020
24.54
23.32
23.29
23.80
23.76
22.24
5.3
3.0
3.2
4.8
2.028
44.58
46.81
44.94
45.66
45.44
43.46
0.8
2.4
1.9
7.7
4.930
97.17
92.31
101.1
101.4
100.7
100.8
3.9
4.3
3.6
8.4
9.940
185.2
194.4
182.5
180.2
180.2
189.2
1.5
2.7
2.7
2.7
Case
x/L (cm−1)
2πγ0/d (atm−1)
S∘/d (cm−1 atm−1)
a1
0.03264
722.3
23.58
a2
0.03984
609.1
24.27
a3
0.02320
1049.
24.35
b
0.01817
1222.
22.20
a, yj as obtained from the data.
b, Change of +5% in points y1, y3, −5% in points y2, y4.
a1, Exponential intensity distribution according to Eq. (6); least squares according to Eq. (10).
a2, Exponential intensity distribution according to Eq. (6); iteration calculation according to Eqs. (11)–(13).
a3, S−1 tailed exponential intensity according to Eq. (7); iteration calculation according to Eqs. (11)–(13).
Add to BibSonomy