Line centers, pressure shift, and pressure broadening of 1530-1560 nm hydrogen cyanide wavelength calibration lines

William C. Swann; Sarah L. Gilbert

doi:10.1364/JOSAB.22.001749

Journal of the Optical Society of America B
Vol. 22,
Issue 8,
pp. 1749-1756
(2005)
•https://doi.org/10.1364/JOSAB.22.001749

Line centers, pressure shift, and pressure broadening of 1530–1560 nm hydrogen cyanide wavelength calibration lines

William C. Swann and Sarah L. Gilbert

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William C. Swann and Sarah L. Gilbert, "Line centers, pressure shift, and pressure broadening of 1530-1560 nm hydrogen cyanide wavelength calibration lines," J. Opt. Soc. Am. B 22, 1749-1756 (2005)

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Abstract

We have measured the line centers and pressure-induced shift and broadening of 25 lines in the $2 ν_{3}$ rotational–vibrational band of hydrogen cyanide $H^{13} C^{14} N$ . These lines can be used as wavelength references in the optical fiber communication wavelength division multiplexing C-band (approximately 1530–1565 nm). We find that the pressure shift varies with line number from $+ 0.09 pm ∕ kPa$ to $- 0.15 pm ∕ kPa$ (approximately $- 1.5$ to $+ 2.5 MHz ∕ Torr$ ). The pressure broadening also varies with line number and is typically between 1 and $5.4 pm ∕ kPa (17 – 90 MHz ∕ Torr)$ . We determined the line centers of 21 lines with an expanded uncertainty $(2 σ)$ of 0.01 pm $(\approx 1 MHz)$ , an improvement of more than 1 order of magnitude over previous line center measurements of this band. We also calculate the molecular constants for the band, yielding improved determination of the band origin frequency and the excited-state molecular constants.

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Line	Line Center Extrapolated to Zero Pressure (vacuum wavelength, nm)	Shift Coefficient		Broadening Coefficient
		$(pm ∕ kPa)$	$(MHz ∕ Torr)$	$(pm ∕ kPa)$	$(MHz ∕ Torr)$
$R 23$	1528.926232(10)	0.060(2)	$- 1.02 (3)$	1.0(3)	17(5)
$R 21$	1529.836643(10)	0.071(2)	$- 1.21 (3)$	1.4(3)	24(5)
$R 18$	1531.275090(10)	0.085(2)	$- 1.45 (3)$	2.2(3)	38(4)
$R 15$	1532.801111(10)	0.085(2)	$- 1.44 (3)$	3.2(2)	55(4)
$R 12$	1534.414943(10)	0.058(2)	$- 0.98 (3)$	4.3(2)	73(3)
$R 10$	1535.539723(10)	0.026(2)	$- 0.45 (3)$	4.9(2)	83(3)
$R 9$	1536.116809(10)	0.005(1)	$- 0.09 (2)$	5.0(2)	85(3)
$R 8$	1536.703707(22)	$- 0.021 (6)$	0.35(9)	5.1(1)	87(2)
$R 7$	1537.300409(27)	$- 0.034 (7)$	0.58(12)	5.1(1)	86(2)
$R 5$	1538.523322(11)	$- 0.083 (2)$	1.39(3)	4.8(2)	81(3)
$R 3$	1539.785605(12)	$- 0.111 (2)$	1.87(4)	4.0(2)	67(3)
$R 1$	1541.087342(10)	$- 0.092 (2)$	1.55(3)	3.0(2)	50(3)
$R 0$	1541.753026(11)	$- 0.066 (2)$	1.12(3)	2.6(2)	44(4)
$P 1$	1543.114083(10)	0.043(2)	$- 0.72 (3)$	2.6(3)	44(4)
$P 4$	1545.230028(10)	0.091(2)	$- 1.52 (3)$	4.0(2)	68(3)
$P 5$	1545.955208(10)	0.084(2)	$- 1.40 (3)$	4.5(1)	76(2)
$P 9$	1548.955546(11)	0.001(2)	$- 0.02 (3)$	5.4(1)	90(2)
$P 10$	1549.730587(10)	$- 0.024 (1)$	0.40(2)	5.3(1)	89(2)
$P 11$	1550.515630(11)	$- 0.050 (2)$	0.82(3)	5.2(1)	86(2)
$P 14$	1552.930882(14)	$- 0.112 (3)$	1.86(4)	4.3(2)	71(3)
$P 16$	1554.591255(16)	$- 0.139 (3)$	2.30(6)	3.5(2)	59(3)
$P 17$	1555.436539(12)	$- 0.146 (2)$	2.41(3)	3.2(2)	52(3)
$P 20$	1558.032905(22)	$- 0.151 (5)$	2.49(9)	2.2(3)	36(5)
$P 23$	1560.720279(11)	$- 0.134 (2)$	2.19(3)	1.4(3)	23(4)
$P 24$	1561.636345(10)	$- 0.126 (2)$	2.06(3)	1.2(2)	19(4)

Line	This Paper Line Center Extrapolated to Zero Pressure (nm)	Ref. [6] (nm)	Difference (pm)
$R 23$	1528.92623(1)	1528.92582(24)	0.42(24)
$R 21$	1529.83664(1)	1529.83632(24)	0.32(24)
$R 18$	1531.27509(1)	1531.27487(24)	0.22(24)
$R 15$	1532.80111(1)	1532.80095(24)	0.16(24)
$R 12$	1534.41494(1)	1534.41481(24)	0.13(24)
$R 10$	1535.53972(1)	1535.53962(24)	0.10(24)
$R 9$	1536.11681(1)	1536.11669(24)	0.12(24)
$R 8$	1536.70371(2)	1536.70360(24)	0.11(24)
$R 7$	1537.30041(3)	1537.30031(24)	0.10(24)
$R 5$	1538.52332(1)	1538.52322(24)	0.10(24)
$R 3$	1539.78561(1)	1539.78552(24)	0.09(24)
$R 1$	1541.08734(1)	1541.08724(24)	0.10(24)
$R 0$	1541.75303(1)	1541.75292(24)	0.11(24)
$P 1$	1543.11408(1)	1543.11398(24)	0.10(24)
$P 4$	1545.23003(1)	1545.22993(24)	0.10(24)
$P 5$	1545.95521(1)	1545.95512(24)	0.09(24)
$P 9$	1548.95555(1)	1548.95547(24)	0.07(24)
$P 10$	1549.73059(1)	1549.73051(24)	0.08(24)
$P 11$	1550.51563(1)	1550.51556(24)	0.07(24)
$P 14$	1552.93088(1)	1552.93082(24)	0.07(24)
$P 16$	1554.59126(2)	1554.59121(24)	0.04(24)
$P 17$	1555.43654(1)	1555.43650(24)	0.04(24)
$P 20$	1558.03291(2)	1558.03288(24)	0.03(24)
$P 23$	1560.72028(1)	1560.72024(24)	0.04(24)
$P 24$	1561.63635(1)	1561.63632(24)	0.03(24)

Constant	This Work $({cm}^{- 1})$	Ref. [16]	Difference	Ref. [6]	Difference
$Δ T$	6483.28225(2)	—	—	6483.28267(18)	$- 0.00042 (18)$
$B^{'}$	1.42045356(27)	—	—	1.42045300(46)	$5.6 (53) \times 10^{- 7}$
$D^{'}$	$2.7225 (9) \times 10^{- 6}$	—	—	$2.7039 (26) \times 10^{- 6}$	$1.9 (3) \times 10^{- 8}$
$H^{'}$	$3.3 (9) \times 10^{- 12}$	—	—	—	—
$B^{″}$	1.44000029(27)	1.44000046(4)	$- 1.7 (27) \times 10^{- 7}$	1.44000020(22)	$0.9 (35) \times 10^{- 7}$
$D^{″}$	$2.7684 (9) \times 10^{- 6}$	$2.7682 (3) \times 10^{- 6}$	$2 (10) \times 10^{- 10}$	$2.7525 (26) \times 10^{- 6}$	$1.6 (3) \times 10^{- 8}$
$H^{″}$	$2.63 (90) \times 10^{- 12}$	$2.66 (35) \times 10^{- 12}$	$- 0.03 (96) \times 10^{- 12}$	—	—

R Branch	Wavenumber $({cm}^{- 1})$	Wavelength (nm)	P Branch	Wavenumber $({cm}^{- 1})$	Wavelength (nm)
$R 27$	6547.83810(10)	1527.221633(25)	$P 1$	6480.40226(3)	1543.114084(8)
$R 26$	6546.07370(8)	1527.633273(18)	$P 2$	6477.48325(3)	1543.809474(8)
$R 25$	6544.26885(6)	1528.054581(13)	$P 3$	6474.52527(3)	1544.514784(8)
$R 24$	6542.42358(4)	1528.485564(10)	$P 4$	6471.52840(3)	1545.230025(8)
$R 23$	6540.53793(4)	1528.926231(9)	$P 5$	6468.49272(3)	1545.955208(8)
$R 22$	6538.61193(4)	1529.376588(8)	$P 6$	6465.41828(3)	1546.690341(8)
$R 21$	6536.64562(4)	1529.836645(8)	$P 7$	6462.30516(3)	1547.435435(8)
$R 20$	6534.63904(4)	1530.306408(8)	$P 8$	6459.15344(3)	1548.190500(8)
$R 19$	6532.59224(4)	1530.785886(8)	$P 9$	6455.96319(3)	1548.955548(8)
$R 18$	6530.50525(4)	1531.275088(8)	$P 10$	6452.73448(3)	1549.730587(8)
$R 17$	6528.37812(4)	1531.774020(8)	$P 11$	6449.46740(3)	1550.515629(8)
$R 16$	6526.21089(4)	1532.282693(8)	$P 12$	6446.16201(3)	1551.310685(8)
$R 15$	6524.00362(4)	1532.801112(8)	$P 13$	6442.81840(3)	1552.115765(8)
$R 14$	6521.75633(3)	1533.329289(8)	$P 14$	6439.43664(3)	1552.930879(8)
$R 13$	6519.46910(3)	1533.867229(8)	$P 15$	6436.01682(3)	1553.756039(8)
$R 12$	6517.14195(3)	1534.414943(8)	$P 16$	6432.55902(3)	1554.591255(8)
$R 11$	6514.77496(3)	1534.972439(8)	$P 17$	6429.06332(3)	1555.436539(8)
$R 10$	6512.36815(3)	1535.539724(8)	$P 18$	6425.52981(3)	1556.291901(8)
$R 9$	6509.92160(3)	1536.116810(8)	$P 19$	6421.95857(4)	1557.157353(8)
$R 8$	6507.43535(3)	1536.703703(8)	$P 20$	6418.34968(4)	1558.032905(8)
$R 7$	6504.90946(3)	1537.300413(8)	$P 21$	6414.70324(4)	1558.918569(8)
$R 6$	6502.34398(3)	1537.906949(8)	$P 22$	6411.01934(3)	1559.814356(8)
$R 5$	6499.73898(3)	1538.523321(8)	$P 23$	6407.29806(3)	1560.720278(8)
$R 4$	6497.09451(3)	1539.149536(8)	$P 24$	6403.53949(4)	1561.636345(9)
$R 3$	6494.41063(3)	1539.785605(8)	$P 25$	6399.74373(4)	1562.562569(10)
$R 2$	6491.68740(3)	1540.431537(8)	$P 26$	6395.91087(5)	1563.498962(13)
$R 1$	6488.92489(3)	1541.087341(8)	$P 27$	6392.04100(7)	1564.445534(18)
$R 0$	6486.12315(3)	1541.753028(8)	$P 28$	6388.13423(10)	1565.402298(25)

Line	Line Center Extrapolated to Zero Pressure (vacuum wavelength, nm)	Shift Coefficient		Broadening Coefficient
		$(pm ∕ kPa)$	$(MHz ∕ Torr)$	$(pm ∕ kPa)$	$(MHz ∕ Torr)$
$R 23$	1528.926232(10)	0.060(2)	$- 1.02 (3)$	1.0(3)	17(5)
$R 21$	1529.836643(10)	0.071(2)	$- 1.21 (3)$	1.4(3)	24(5)
$R 18$	1531.275090(10)	0.085(2)	$- 1.45 (3)$	2.2(3)	38(4)
$R 15$	1532.801111(10)	0.085(2)	$- 1.44 (3)$	3.2(2)	55(4)
$R 12$	1534.414943(10)	0.058(2)	$- 0.98 (3)$	4.3(2)	73(3)
$R 10$	1535.539723(10)	0.026(2)	$- 0.45 (3)$	4.9(2)	83(3)
$R 9$	1536.116809(10)	0.005(1)	$- 0.09 (2)$	5.0(2)	85(3)
$R 8$	1536.703707(22)	$- 0.021 (6)$	0.35(9)	5.1(1)	87(2)
$R 7$	1537.300409(27)	$- 0.034 (7)$	0.58(12)	5.1(1)	86(2)
$R 5$	1538.523322(11)	$- 0.083 (2)$	1.39(3)	4.8(2)	81(3)
$R 3$	1539.785605(12)	$- 0.111 (2)$	1.87(4)	4.0(2)	67(3)
$R 1$	1541.087342(10)	$- 0.092 (2)$	1.55(3)	3.0(2)	50(3)
$R 0$	1541.753026(11)	$- 0.066 (2)$	1.12(3)	2.6(2)	44(4)
$P 1$	1543.114083(10)	0.043(2)	$- 0.72 (3)$	2.6(3)	44(4)
$P 4$	1545.230028(10)	0.091(2)	$- 1.52 (3)$	4.0(2)	68(3)
$P 5$	1545.955208(10)	0.084(2)	$- 1.40 (3)$	4.5(1)	76(2)
$P 9$	1548.955546(11)	0.001(2)	$- 0.02 (3)$	5.4(1)	90(2)
$P 10$	1549.730587(10)	$- 0.024 (1)$	0.40(2)	5.3(1)	89(2)
$P 11$	1550.515630(11)	$- 0.050 (2)$	0.82(3)	5.2(1)	86(2)
$P 14$	1552.930882(14)	$- 0.112 (3)$	1.86(4)	4.3(2)	71(3)
$P 16$	1554.591255(16)	$- 0.139 (3)$	2.30(6)	3.5(2)	59(3)
$P 17$	1555.436539(12)	$- 0.146 (2)$	2.41(3)	3.2(2)	52(3)
$P 20$	1558.032905(22)	$- 0.151 (5)$	2.49(9)	2.2(3)	36(5)
$P 23$	1560.720279(11)	$- 0.134 (2)$	2.19(3)	1.4(3)	23(4)
$P 24$	1561.636345(10)	$- 0.126 (2)$	2.06(3)	1.2(2)	19(4)

Line centers, pressure shift, and pressure broadening of 1530–1560 nm hydrogen cyanide wavelength calibration lines

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Equations (2)

Journal of the Optical Society of America B