Ultraviolet nonlinear optical crystal: CsBe2BO3F2

Hongwei Huang; Chuangtian Chen; Xiaoyang Wang; Yong Zhu; Guiling Wang; Xin Zhang; Lirong Wang; Jiyong Yao

doi:10.1364/JOSAB.28.002186

Ultraviolet nonlinear optical crystal: ${CsBe}_{2} {BO}_{3} F_{2}$

Hongwei Huang, Chuangtian Chen, Xiaoyang Wang, Yong Zhu, Guiling Wang, Xin Zhang, Lirong Wang, and Jiyong Yao

Journal of the Optical Society of America B
Vol. 28,
Issue 9,
pp. 2186-2190
(2011)
•https://doi.org/10.1364/JOSAB.28.002186

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Hongwei Huang, Chuangtian Chen, Xiaoyang Wang, Yong Zhu, Guiling Wang, Xin Zhang, Lirong Wang, and Jiyong Yao, "Ultraviolet nonlinear optical crystal: CsBe₂BO₃F₂," J. Opt. Soc. Am. B 28, 2186-2190 (2011)

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Table of Contents Category
- Materials
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Nonlinear optical materials (160.4330)
- Nonlinear optics, materials (190.4400)

About this Article
History
- Original Manuscript: April 29, 2011
- Manuscript Accepted: July 7, 2011
- Published: August 16, 2011
Virtual Issues

August 22, 2011 Spotlight on Optics

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Abstract

A new ultraviolet nonlinear optical crystal ${CsBe}_{2} {BO}_{3} F_{2}$ has been grown by the flux method with relatively greater size and thickness along the z axis. The crystal structure was determined by single-crystal x-ray diffraction anal ysis and the space group of it was defined as R32, belonging to the uniaxial class. Optical properties including the ultraviolet absorption edges, refractive indices, phase-matching angles, and effective nonlinear optical coefficients have been systematically determined for the first time. Based on the measured refractive indices, the Sellmeier equations were also fitted.

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References

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Publication

T. Kiss, F. Kanetaka, T. Yokoya, T. Shimojima, K. Kanai, S. Shin, Y. Onuki, T. Togashi, C. Zhang, C. T. Chen, and S. Watanabe, “Photoemission spectroscopic evidence of gap anisotropy in an f-electron superconductor,” Phys. Rev. Lett. 94, 057001(2005).
[Crossref] [PubMed]
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[Crossref] [PubMed]
T. Kanai, X. Y. Wang, S. Adachi, S. Watanabe, and C. T. Chen, “Watt-level tunable deep ultraviolet light source by a KBBF prism-coupled device,” Opt. Express 17, 8696–8703 (2009).
[Crossref] [PubMed]
C. T. Chen, G. L. Wang, X. Y. Wang, and Z. Y. Xu, “Deep-UV nonlinear optical crystal KBe2BO3F2—discovery, growth, optical properties and applications,” Appl. Phys. B 97, 9–25 (2009).
[Crossref]
T. Togashi, T. Kanai, T. Sekikawa, S. Watanabe, C. T. Chen, C. Zhang, Z. Xu, and J. Wang, “Generation of vacuum-ultraviolet light by an optically contacted, prism-coupled KBe2BO3F2 crystal,” Opt. Lett. 28, 254–256 (2003).
[Crossref] [PubMed]
C. T. Chen, N. Y. J. Lin, J. Jiang, W. R. Zeng, and B. C. Wu, “Computer-assisted search for nonlinear optical crystals,” Adv. Mater. 11, 1071–1078 (1999).
[Crossref]
Z. S. Lin, Z. Z. Wang, C. T. Chen, S. K. Chen, and M. H. Lee, “Mechanism for linear and nonlinear optical effects in KBe2BO3F2 crystal,” Chem. Phys. Lett. 367, 523–527 (2003).
[Crossref]
X. H. Wen, “Study on the growth and properties of the nonlinear optical crystals: MBBF (M=Na, K, Rb, Cs),” Ph.D. dissertation (Chinese Academy of Sciences, 2006).
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C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]
I. A. Baydina, V. V. Bakakin, L. P. Bacanova, and N. A. Pal’chik, “X-ray structural study of borato-fluoroberyllates with the composition MBe2BO3F2 (M=Na, K, Rb, Cs),” Zh. Strukt. Khim. 16, 963–965 (1975).
[Crossref]
L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]
C. D. McMillen and J. W. Kolis, “Hydrothermal crystal growth of ABe2BO3F2 (A=K, Rb, Cs, Tl) NLO crystals,” J. Cryst. Growth 310, 2033–2038 (2008).
[Crossref]
X. Zhang, X. A. Wang, G. L. Wang, Y. C. Wu, Y. Zhu, and C. T. Chen, “Determination of the nonlinear optical coefficients of the LixCs(1−x)B3O5 crystals,” J. Opt. Soc. Am. B 24, 2877–2882(2007).
[Crossref]

2009 (3)

C. T. Chen, G. L. Wang, X. Y. Wang, and Z. Y. Xu, “Deep-UV nonlinear optical crystal KBe2BO3F2—discovery, growth, optical properties and applications,” Appl. Phys. B 97, 9–25 (2009).
[Crossref]

T. Kanai, X. Y. Wang, S. Adachi, S. Watanabe, and C. T. Chen, “Watt-level tunable deep ultraviolet light source by a KBBF prism-coupled device,” Opt. Express 17, 8696–8703 (2009).
[Crossref] [PubMed]

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

2008 (2)

W. Zhang, G. Liu, L. Zhao, H. Y. Liu, J. Q. Meng, X. L. Dong, W. Lu, J. S. Wen, Z. J. Xu, G. D. Gu, G. L. Wang, Y. Zhu, H. B. Zhang, Y. Zhou, X. Y. Wang, Z. X. Zhao, C. T. Chen, Z. Y. Xu, and X. J. Zhou, “Identification of a new form of electron coupling in the Bi2Sr2CaCu2O8 superconductor by laser-based angle-resolved photoemission spectroscopy,” Phys. Rev. Lett. 100, 107002(2008).
[Crossref] [PubMed]

C. D. McMillen and J. W. Kolis, “Hydrothermal crystal growth of ABe2BO3F2 (A=K, Rb, Cs, Tl) NLO crystals,” J. Cryst. Growth 310, 2033–2038 (2008).
[Crossref]

2007 (1)

X. Zhang, X. A. Wang, G. L. Wang, Y. C. Wu, Y. Zhu, and C. T. Chen, “Determination of the nonlinear optical coefficients of the LixCs(1−x)B3O5 crystals,” J. Opt. Soc. Am. B 24, 2877–2882(2007).
[Crossref]

2005 (1)

T. Kiss, F. Kanetaka, T. Yokoya, T. Shimojima, K. Kanai, S. Shin, Y. Onuki, T. Togashi, C. Zhang, C. T. Chen, and S. Watanabe, “Photoemission spectroscopic evidence of gap anisotropy in an f-electron superconductor,” Phys. Rev. Lett. 94, 057001(2005).
[Crossref] [PubMed]

2003 (2)

Z. S. Lin, Z. Z. Wang, C. T. Chen, S. K. Chen, and M. H. Lee, “Mechanism for linear and nonlinear optical effects in KBe2BO3F2 crystal,” Chem. Phys. Lett. 367, 523–527 (2003).
[Crossref]

T. Togashi, T. Kanai, T. Sekikawa, S. Watanabe, C. T. Chen, C. Zhang, Z. Xu, and J. Wang, “Generation of vacuum-ultraviolet light by an optically contacted, prism-coupled KBe2BO3F2 crystal,” Opt. Lett. 28, 254–256 (2003).
[Crossref] [PubMed]

1999 (1)

C. T. Chen, N. Y. J. Lin, J. Jiang, W. R. Zeng, and B. C. Wu, “Computer-assisted search for nonlinear optical crystals,” Adv. Mater. 11, 1071–1078 (1999).
[Crossref]

1995 (1)

L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]

1975 (1)

I. A. Baydina, V. V. Bakakin, L. P. Bacanova, and N. A. Pal’chik, “X-ray structural study of borato-fluoroberyllates with the composition MBe2BO3F2 (M=Na, K, Rb, Cs),” Zh. Strukt. Khim. 16, 963–965 (1975).
[Crossref]

Adachi, S.

Bacanova, L. P.

Bakakin, V. V.

Baydina, I. A.

Chen, C.

L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]

Chen, C. T.

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

Z. S. Lin, Z. Z. Wang, C. T. Chen, S. K. Chen, and M. H. Lee, “Mechanism for linear and nonlinear optical effects in KBe2BO3F2 crystal,” Chem. Phys. Lett. 367, 523–527 (2003).
[Crossref]

C. T. Chen, N. Y. J. Lin, J. Jiang, W. R. Zeng, and B. C. Wu, “Computer-assisted search for nonlinear optical crystals,” Adv. Mater. 11, 1071–1078 (1999).
[Crossref]

C. T. Chen, X. H. Wen, R. K. Li, and C. Q. Zhang, “Fluoroberyllium borate nonlinear optical crystals and their growth and applications,” China patent ZL 200510088739.3(CN 100526521C)(2006).

Chen, S. K.

Z. S. Lin, Z. Z. Wang, C. T. Chen, S. K. Chen, and M. H. Lee, “Mechanism for linear and nonlinear optical effects in KBe2BO3F2 crystal,” Chem. Phys. Lett. 367, 523–527 (2003).
[Crossref]

Dong, X. L.

Gu, G. D.

Huang, X.

L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]

Jiang, J.

C. T. Chen, N. Y. J. Lin, J. Jiang, W. R. Zeng, and B. C. Wu, “Computer-assisted search for nonlinear optical crystals,” Adv. Mater. 11, 1071–1078 (1999).
[Crossref]

Kanai, K.

Kanai, T.

Kanetaka, F.

Kiss, T.

Kolis, J. W.

C. D. McMillen and J. W. Kolis, “Hydrothermal crystal growth of ABe2BO3F2 (A=K, Rb, Cs, Tl) NLO crystals,” J. Cryst. Growth 310, 2033–2038 (2008).
[Crossref]

Lee, M. H.

Z. S. Lin, Z. Z. Wang, C. T. Chen, S. K. Chen, and M. H. Lee, “Mechanism for linear and nonlinear optical effects in KBe2BO3F2 crystal,” Chem. Phys. Lett. 367, 523–527 (2003).
[Crossref]

Li, R. K.

C. T. Chen, X. H. Wen, R. K. Li, and C. Q. Zhang, “Fluoroberyllium borate nonlinear optical crystals and their growth and applications,” China patent ZL 200510088739.3(CN 100526521C)(2006).

Lin, N. Y. J.

C. T. Chen, N. Y. J. Lin, J. Jiang, W. R. Zeng, and B. C. Wu, “Computer-assisted search for nonlinear optical crystals,” Adv. Mater. 11, 1071–1078 (1999).
[Crossref]

Lin, Z. S.

Z. S. Lin, Z. Z. Wang, C. T. Chen, S. K. Chen, and M. H. Lee, “Mechanism for linear and nonlinear optical effects in KBe2BO3F2 crystal,” Chem. Phys. Lett. 367, 523–527 (2003).
[Crossref]

Liu, G.

Liu, H. Y.

Lu, W.

Luo, S. Y.

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

McMillen, C. D.

C. D. McMillen and J. W. Kolis, “Hydrothermal crystal growth of ABe2BO3F2 (A=K, Rb, Cs, Tl) NLO crystals,” J. Cryst. Growth 310, 2033–2038 (2008).
[Crossref]

Mei, L.

L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]

Meng, J. Q.

Onuki, Y.

Pal’chik, N. A.

Sekikawa, T.

Shimojima, T.

Shin, S.

Togashi, T.

Wang, G. L.

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

Wang, J.

Wang, X. A.

Wang, X. Y.

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

Wang, Y.

L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]

Wang, Z. Z.

Z. S. Lin, Z. Z. Wang, C. T. Chen, S. K. Chen, and M. H. Lee, “Mechanism for linear and nonlinear optical effects in KBe2BO3F2 crystal,” Chem. Phys. Lett. 367, 523–527 (2003).
[Crossref]

Watanabe, S.

Wen, J. S.

Wen, X. H.

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

X. H. Wen, “Study on the growth and properties of the nonlinear optical crystals: MBBF (M=Na, K, Rb, Cs),” Ph.D. dissertation (Chinese Academy of Sciences, 2006).

C. T. Chen, X. H. Wen, R. K. Li, and C. Q. Zhang, “Fluoroberyllium borate nonlinear optical crystals and their growth and applications,” China patent ZL 200510088739.3(CN 100526521C)(2006).

Wu, B.

L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]

Wu, B. C.

C. T. Chen, N. Y. J. Lin, J. Jiang, W. R. Zeng, and B. C. Wu, “Computer-assisted search for nonlinear optical crystals,” Adv. Mater. 11, 1071–1078 (1999).
[Crossref]

Wu, H. X.

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

Wu, Q.

L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]

Wu, Y. C.

Xu, Z.

Xu, Z. J.

Xu, Z. Y.

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

Yokoya, T.

Zeng, W. R.

C. T. Chen, N. Y. J. Lin, J. Jiang, W. R. Zeng, and B. C. Wu, “Computer-assisted search for nonlinear optical crystals,” Adv. Mater. 11, 1071–1078 (1999).
[Crossref]

Zhang, C.

Zhang, C. Q.

C. T. Chen, X. H. Wen, R. K. Li, and C. Q. Zhang, “Fluoroberyllium borate nonlinear optical crystals and their growth and applications,” China patent ZL 200510088739.3(CN 100526521C)(2006).

Zhang, H. B.

Zhang, W.

Zhang, X.

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

Zhao, L.

Zhao, Z. X.

Zhou, X. J.

Zhou, Y.

Zhu, Y.

Adv. Mater. (1)

C. T. Chen, N. Y. J. Lin, J. Jiang, W. R. Zeng, and B. C. Wu, “Computer-assisted search for nonlinear optical crystals,” Adv. Mater. 11, 1071–1078 (1999).
[Crossref]

Appl. Phys. B (1)

Chem. Phys. Lett. (1)

Z. S. Lin, Z. Z. Wang, C. T. Chen, S. K. Chen, and M. H. Lee, “Mechanism for linear and nonlinear optical effects in KBe2BO3F2 crystal,” Chem. Phys. Lett. 367, 523–527 (2003).
[Crossref]

J. Cryst. Growth (1)

C. D. McMillen and J. W. Kolis, “Hydrothermal crystal growth of ABe2BO3F2 (A=K, Rb, Cs, Tl) NLO crystals,” J. Cryst. Growth 310, 2033–2038 (2008).
[Crossref]

J. Opt. Soc. Am. B (2)

C. T. Chen, S. Y. Luo, X. Y. Wang, G. L. Wang, X. H. Wen, H. X. Wu, X. Zhang, and Z. Y. Xu, “Deep UV nonlinear optical crystal: RbBe2BO3F2,” J. Opt. Soc. Am. B 26, 1519–1525 (2009).
[Crossref]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. Lett. (2)

Z. Kristallogr. (1)

L. Mei, X. Huang, Y. Wang, Q. Wu, B. Wu, and C. Chen, “Crystal structure of KBe2BO3F2,” Z. Kristallogr. 210, 93–95 (1995).
[Crossref]

Zh. Strukt. Khim. (1)

Other (2)

X. H. Wen, “Study on the growth and properties of the nonlinear optical crystals: MBBF (M=Na, K, Rb, Cs),” Ph.D. dissertation (Chinese Academy of Sciences, 2006).

C. T. Chen, X. H. Wen, R. K. Li, and C. Q. Zhang, “Fluoroberyllium borate nonlinear optical crystals and their growth and applications,” China patent ZL 200510088739.3(CN 100526521C)(2006).

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Fig. 1 Interference pattern of CBBF along the c axis.

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Fig. 2 (a) Structure of CBBF crystal. (b) Planar lattice of

({Be}_{2} {BO}_{3} F_{2})_{\infty}

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Fig. 3 (a) Single CBBF crystal in relatively regular shape with size

30 \times 30 \times 2 {mm}^{3}

. (b) Another cut and polished CBBF crystal with thickness of

2.3 mm

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Fig. 4 DSC curve of CBBF crystal.

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Fig. 5 Transmittance of CBBF crystal in the UV region.

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Fig. 6 Transmittance of CBBF crystal in the IR region.

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Fig. 7 Refractive indices dispersion curve. Circles and points, experimental values; curves, fits given by the Sellmeier equation.

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Fig. 8 Type-I SHG phase-matching angles versus fundamental wavelength for CBBF in the whole spectral region. Solid line, curve calculated from the Sellmeier equations; points, data from the experiments.

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Fig. 9 Maker fringes of the

d_{11}

coefficient of CBBF. Solid curve, experimental Maker fringe of

d_{11}

; dashed curves, fitted fringes and envelope.

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Tables (4)

Table 1 Crystallographic Data and X-ray Rietveld Refinement for CBBF

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Table 2 Atomic Coordinates and Overall Isotropic Thermal Displacement Parameter for CBBF

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Table 3 Measured and Calculated Refractive Indices of CBBF with Δ as the Absolute Value of the Difference between the Measured and Calculated Values.

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Table 4 Phase-matching Angles for Type-I SHG with CBBF ^a

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Equations (4)

Equations on this page are rendered with MathJax. Learn more.

{Cs}_{2} {CO}_{3} + 4 BeO + 2 {NH}_{4} {HF}_{2} + 2 H_{3} {BO}_{3} = 2 {CsBe}_{2} {BO}_{3} F_{2} + {CO}_{2} ↑ + 5 H_{2} O ↑ + 2 {NH}_{3} ↑ .

n_{o}^{2} = 2.2562126 + \frac{0.0091453}{λ^{2} - 0.0126509} - 0.0101828 λ^{2} n_{e}^{2} = 2.0802682 + \frac{0.0070027}{λ^{2} - 0.0109331} - 0.0047423 λ^{2} (units of λ are in μm) .

d_{i j} = [\begin{matrix} d_{11} & - d_{11} & 0 & d_{14} & 0 & 0 \\ 0 & 0 & 0 & 0 & - d_{14} & - d_{11} \\ 0 & 0 & 0 & 0 & 0 & 0 \end{matrix}] .

d_{eff} = d_{11} \cos θ \cos 3 Φ, type I d_{eff} = d_{11} \cos^{2} θ \sin 3 Φ, type II .

Chemical formula	${CsBe}_{2} {BO}_{3} F_{2}$
Formula weight	247.73
Space group	R32
Unit cell parameters	$a = b = 4.4391 (6) Å$ , $c = 21.125 (4) Å$ , $V = 360.51 (10) Å^{3}$ $α = β = 90 °$ , $γ = 120 °$ , $Z = 4$
Index ranges	$- 6 \leq h \leq 6$ , $- 6 \leq k \leq 6$ , $- 31 \leq l \leq 20$
θ range	$2.89 ° - 32.45 °$
No. of reflections	192
No. of refined parameters	22
Final R indices [ $I > 2 σ (I)$ ]	$R 1$ 0.0294 ${w R}_{2}$ 0.0527
R indices (all data)	$R 1$ 0.0305 ${w R}_{2}$ 0.0528
Goodness-of-fit on $F^{2}$	0.920
Largest diff peak and hole	2.345 and $- 1.244 (e \cdot Å^{- 3})$

	Atom Site Parameters
Atom	X	Y	Z	$U (eq)$ ^a
Cs	0.0000	0.0000	0.0000	0.01123(18)
F	0.0000	0.0000	0.73493(17)	0.0109(8)
O	0.3096(10)	0.0000	0.5000	0.0065(10)
Be	0.0000	0.0000	0.8071(4)	0.0082(15)
B	0.0000	0.0000	0.5000	0.0044(16)

	no			ne
Wavelength ( $μm$ )	Exp	Cal	Δ	Exp	Cal	Δ
0.2537	1.5596139	1.5596108	0.000003	1.4869543	1.4869514	0.000003
0.363	1.5269022	1.5269598	0.000058	1.4620046	1.4620518	0.000047
0.4047	1.5215640	1.521515	0.000049	1.4578738	1.4578429	0.000031
0.4358	1.5184957	1.5184898	0.000006	1.4555058	1.4555038	0.000002
0.480	1.5152763	1.5151886	0.000088	1.4530541	1.4529568	0.000097
0.5461	1.5115366	1.5116582	0.000120	1.4501353	1.4502513	0.000120
0.5875	1.5099998	1.5099995	0.000000	1.4489877	1.448994	0.000006
0.6438	1.5082333	1.5081867	0.000047	1.4476837	1.4476379	0.000046
0.7065	1.5065752	1.5065785	0.000003	1.4464750	1.4464594	0.000016
0.8521	1.5037796	1.5038019	0.000022	1.4444665	1.4445127	0.000046
1.014	1.5014915	1.5014791	0.000012	1.4430305	1.4430094	0.000021

Fundamental Wavelength (nm)	SHG Wavelength (nm)	Phase-matching angle (deg)
Fundamental Wavelength (nm)	SHG Wavelength (nm)	Exp	Cal	Δ
470	235	58.03	58.29	$- 0.26$
490	245	54.60	54.53	0.07
510	255	51.37	51.39	$- 0.02$
520	260	50.11	49.99	0.12
530	265	48.81	48.68	0.11
532	266	48.59	48.43	0.16
540	270	47.86	47.47	0.39
680	340	36.11	36.01	0.10
700	350	35.06	34.92	0.14
720	360	34.04	33.91	0.13
740	370	33.16	32.99	0.17
760	380	32.30	32.14	0.16
780	390	31.49	31.35	0.14
800	400	30.79	30.62	0.17
820	410	30.13	29.95	0.18
840	420	29.48	29.33	0.15
860	430	28.95	28.75	0.20
880	440	28.40	28.22	0.18
900	450	27.93	27.72	0.21
920	460	27.46	27.27	0.19
940	470	27.02	26.84	0.18
960	480	26.61	26.45	0.16
980	490	26.21	26.09	0.12
1000	500	25.89	25.76	0.13
1020	510	25.59	25.46	0.13
1040	520	25.29	25.18	0.11
1060	530	25.02	24.93	0.09
1064	532	24.97	24.88	0.09
1080	540	24.75	24.70	0.05

Chemical formula	${CsBe}_{2} {BO}_{3} F_{2}$
Formula weight	247.73
Space group	R32
Unit cell parameters	$a = b = 4.4391 (6) Å$ , $c = 21.125 (4) Å$ , $V = 360.51 (10) Å^{3}$ $α = β = 90 °$ , $γ = 120 °$ , $Z = 4$
Index ranges	$- 6 \leq h \leq 6$ , $- 6 \leq k \leq 6$ , $- 31 \leq l \leq 20$
θ range	$2.89 ° - 32.45 °$
No. of reflections	192
No. of refined parameters	22
Final R indices [ $I > 2 σ (I)$ ]	$R 1$ 0.0294 ${w R}_{2}$ 0.0527
R indices (all data)	$R 1$ 0.0305 ${w R}_{2}$ 0.0528
Goodness-of-fit on $F^{2}$	0.920
Largest diff peak and hole	2.345 and $- 1.244 (e \cdot Å^{- 3})$