Refractive index spectral dependence, Raman spectra, and transmission spectra of high-purity Si28, Si29, Si30, and Sinat single crystals

Victor G. Plotnichenko; Vitaly O. Nazaryants; Elena B. Kryukova; Vasily V. Koltashev; Vyacheslav O. Sokolov; Anatoly V. Gusev; Vladimir A. Gavva; Tatiana V. Kotereva; Mikhail F. Churbanov; Eugeny M. Dianov

doi:10.1364/AO.50.004633

Applied Optics
Vol. 50,
Issue 23,
pp. 4633-4641
(2011)
•https://doi.org/10.1364/AO.50.004633

Refractive index spectral dependence, Raman spectra, and transmission spectra of high-purity ${}^{28}{Si}$ , ${}^{29}{Si}$ , ${}^{30}{Si}$ , and ${}^{nat}{Si}$ single crystals

Victor G. Plotnichenko, Vitaly O. Nazaryants, Elena B. Kryukova, Vasily V. Koltashev, Vyacheslav O. Sokolov, Anatoly V. Gusev, Vladimir A. Gavva, Tatiana V. Kotereva, Mikhail F. Churbanov, and Eugeny M. Dianov

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
Victor G. Plotnichenko, Vitaly O. Nazaryants, Elena B. Kryukova, Vasily V. Koltashev, Vyacheslav O. Sokolov, Anatoly V. Gusev, Vladimir A. Gavva, Tatiana V. Kotereva, Mikhail F. Churbanov, and Eugeny M. Dianov, "Refractive index spectral dependence, Raman spectra, and transmission spectra of high-purity Si28, Si29, Si30, and Sinat single crystals," Appl. Opt. 50, 4633-4641 (2011)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

We performed precise measurement of the refractive index of stable silicon isotopes ${}^{28}{Si}$ , ${}^{29}{Si}$ , and ${}^{30}{Si}$ single crystals with enrichments above $99.9 at . %$ and a silicon single-crystal ${}^{nat}{Si}$ of natural isotopic composition with the Fourier-transform interference refractometry method from 1.06 to more than $80 μm$ with $0.1 {cm}^{- 1}$ resolution and accuracy of $2 \times 10^{- 5} \dots 1 \times 10^{- 4}$ . The oxygen and carbon concentrations in all crystals are within $5 \times 10^{15} {cm}^{- 3}$ , and the content of the metal impurities is $10^{- 5} \dots 10^{- 6} at . %$ . The peculiar changes of the refractive index in the phonon absorption region of all silicon single crystals are shown. The coefficients of the generalized Cauchy dispersion function approximating the experimental refractive index values all over the measuring range are given. The transmission and Raman spectra are also studied.

Full Article | PDF Article

More Like This

Refractive index spectral dependence, Raman spectra, and transmission spectra of high-purity ⁷²Ge, ⁷³Ge, ⁷⁴Ge, ⁷⁶Ge, and ^natGe single crystals

Victor A. Lipskiy, Vitaly O. Nazaryants, Tatiana V. Kotereva, Andrei D. Bulanov, Vladimir A. Gavva, Vasily V. Koltashev, Mikhail F. Churbanov, and Victor G. Plotnichenko
Appl. Opt. 58(27) 7489-7496 (2019)

Temperature-dependent index of refraction of monoclinic Ga₂O₃ single crystal

Indranil Bhaumik, R. Bhatt, S. Ganesamoorthy, A. Saxena, A. K. Karnal, P. K. Gupta, A. K. Sinha, and S. K. Deb
Appl. Opt. 50(31) 6006-6010 (2011)

Spectral dependence of the refractive index of chemical vapor deposition ZnSe grown on substrate with an optimized temperature increase

V. O. Nazaryants, E. B. Kryukova, E. M. Gavrishchuk, V. B. Ikonnikov, S. M. Mazavin, and V. G. Plotnichenko
Appl. Opt. 49(25) 4723-4727 (2010)

Previous Article Next Article

Cited By

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.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

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.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (7)

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.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (7)

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.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

	Isotopic Composition of Si in Single Crystals (at.%)
Single Crystal	${}^{28}{Si}$	${}^{29}{Si}$	${}^{30}{Si}$
${}^{28}{Si}$	99.9934	0.00637	0.00023
${}^{29}{Si}$	0.026	99.919	0.055
${}^{30}{Si}$	0.005	0.021	99.974

Single Crystal	$1.5 μm$	$2 μm$	$5 μm$
${}^{28}{Si}$	3.48207	3.45260	3.42194
${}^{nat}{Si}$	3.48191	3.45243	3.42177
${}^{29}{Si}$	3.48171	3.45224	3.42161
${}^{30}{Si}$	3.48112	3.45168	3.42107

Parameter	Spectral Range
Parameter	$9400 \dots 745 {cm}^{- 1} (1.06 \dots 13.42 μm)$	$745 \dots 625 {cm}^{- 1} (13.42 \dots 16.00 μm)$	$625 \dots 583 {cm}^{- 1} (16.00 \dots 17.15 μm)$	$583 \dots 117 {cm}^{- 1} (17.15 \dots 85.47 μm)$
$A_{6}$	$4.03488 \times 10^{- 27}$	0.0	0.0	$- 4.47129 \times 10^{- 20}$
$A_{4}$	$1.05838 \times 10^{- 18}$	0.0	$8.07309 \times 10^{- 11}$	$3.89667 \times 10^{- 14}$
$A_{2}$	$1.42643 \times 10^{- 9}$	$- 1.75666 \times 10^{- 6}$	$- 1.18530 \times 10^{- 4}$	$1.00590 \times 10^{- 8}$
C	3.41621	6.74524	68.44582	3.41782
$B_{2}$	$- 34.48103$	$- 2.35655 \times 10^{6}$	$- 1.58031 \times 10^{7}$	$- 44.46299$
$B_{4}$	0.0	$7.39436 \times 10^{11}$	$1.43557 \times 10^{12}$	0.0
$B_{6}$	0.0	$- 8.68186 \times 10^{16}$	0.0	0.0
R	$2.0 \times 10^{- 5}$	$3.0 \times 10^{- 5}$	$9.0 \times 10^{- 5}$	$1.1 \times 10^{- 4}$

Parameter	Spectral Range
Parameter	$9400 \dots 730 {cm}^{- 1} (1.06 \dots 13.70 μm)$	$730 \dots 617 {cm}^{- 1} (13.70 \dots 16.21 μm)$	$617 \dots 573 {cm}^{- 1} (16.21 \dots 17.45 μm)$	$573 \dots 114 {cm}^{- 1} (17.45 \dots 85.72 μm)$
$A_{6}$	$4.16405 \times 10^{- 27}$	0.0	0.0	0.0
$A_{4}$	$1.03238 \times 10^{- 18}$	0.0	$1.45163 \times 10^{- 10}$	$4.61074 \times 10^{- 15}$
$A_{2}$	$1.42694 \times 10^{- 9}$	$- 1.35827 \times 10^{- 6}$	$- 2.03966 \times 10^{- 4}$	$- 5.60442 \times 10^{- 10}$
C	3.41588	5.89678	110.64230	3.41637
$B_{2}$	$- 29.06141$	$- 1.69322 \times 10^{6}$	$- 2.49974 \times 10^{7}$	7.04348
$B_{4}$	0.0	$5.12630 \times 10^{11}$	$2.18071 \times 10^{12}$	$- 7.25535 \times 10^{5}$
$B_{6}$	0.0	$- 5.81255 \times 10^{16}$	0.0	0.0
R	$2.0 \times 10^{- 5}$	$3.0 \times 10^{- 5}$	$1.0 \times 10^{- 4}$	$1.0 \times 10^{- 4}$

Parameter	Spectral Range
Parameter	$9310 \dots 720 {cm}^{- 1} (1.07 \dots 13.89 μm)$	$720 \dots 605 {cm}^{- 1} (13.89 \dots 16.53 μm)$	$605 \dots 565 {cm}^{- 1} (16.53 \dots 17.70 μm)$	$565 \dots 112 {cm}^{- 1} (17.70 \dots 89.29 μm)$
$A_{10}$	0.0	$1.58348 \times 10^{- 28}$	0.0	0.0
$A_{8}$	0.0	$- 3.70584 \times 10^{- 22}$	0.0	0.0
$A_{6}$	$3.87178 \times 10^{- 27}$	$3.45410 \times 10^{- 16}$	0.0	$- 5.25168 \times 10^{- 21}$
$A_{4}$	$1.06782 \times 10^{- 18}$	$- 1.60314 \times 10^{- 10}$	$1.37221 \times 10^{- 10}$	$1.67675 \times 10^{- 14}$
$A_{2}$	$1.42449 \times 10^{- 9}$	$3.70631 \times 10^{- 5}$	$- 1.87828 \times 10^{- 4}$	$- 6.42102 \times 10^{- 9}$
C	3.41535	0.0	99.59448	3.41676
$B_{2}$	$- 50.69159$	0.0	$- 2.18377 \times 10^{7}$	$- 43.76842$
$B_{4}$	0.0	0.0	$1.85529 \times 10^{12}$	0.0
R	$2.0 \times 10^{- 5}$	$3.0 \times 10^{- 5}$	$5.0 \times 10^{- 5}$	$1.0 \times 10^{- 4}$

Parameter	Spectral Range
Parameter	$9480 \dots 745 {cm}^{- 1} (1.06 \dots 13.42 μm)$	$745 \dots 625 {cm}^{- 1} (13.42 \dots 16.00 μm)$	$625 \dots 583 {cm}^{- 1} (16.00 \dots 17.15 μm)$	$583 \dots 125 {cm}^{- 1} (17.15 \dots 80.00 μm)$
$A_{6}$	$3.85272 \times 10^{- 27}$	0.0	0.0	0.0
$A_{4}$	$1.08707 \times 10^{- 18}$	0.0	$1.06100 \times 10^{- 10}$	$1.10503 \times 10^{- 14}$
$A_{2}$	$1.42510 \times 10^{- 9}$	$- 1.38069 \times 10^{- 6}$	$- 1.54334 \times 10^{- 4}$	$- 4.28163 \times 10^{- 9}$
C	3.41618	6.01658	87.37999	3.41725
$B_{2}$	$- 96.96621$	$- 1.82986 \times 10^{6}$	$- 2.02501 \times 10^{7}$	$- 51.15422$
$B_{4}$	0.0	$5.71062 \times 10^{11}$	$1.82698 \times 10^{12}$	$- 1.93263 \times 10^{5}$
$B_{6}$	0.0	$- 6.67343 \times 10^{16}$	0.0	0.0
R	$2.0 \times 10^{- 5}$	$2.0 \times 10^{- 5}$	$6.0 \times 10^{- 5}$	$1.3 \times 10^{- 4}$

	$h_{i}$ (Measured)	$h_{i}^{corr}$ (MIR)	$h_{i}^{corr}$ (NIR)	$Δ h_{MIR}$	$Δ h_{NIR}$
${}^{28}{Si}$	815.87	815.98	815.99	0.11	0.12
	1003.25	1003.23	1003.23	$- 0.02$	$- 0.02$
	1179.09	1179.03	1179.02	$- 0.06$	$- 0.07$
${}^{29}{Si}$	815.95	815.98	815.98	0.03	0.03
	1003.23	1003.21	1003.23	$- 0.02$	0.0
	1179.24	1179.23	1179.22	$- 0.01$	$- 0.02$
${}^{30}{Si}$	816.09	816.12	816.13	0.03	0.04
	1003.34	1003.41	1003.38	0.07	0.04
	1179.54	1179.46	1179.48	$- 0.08$	$- 0.06$
${}^{nat}{Si}$	815.87	815.88	815.88	0.01	0.01
	1003.27	1003.28	1003.28	0.01	0.01
	1179.15	1179.14	1179.14	$- 0.01$	$- 0.01$

Abstract

Cited By

Figures (6)

Tables (7)

Equations (7)

Applied Optics