Table I
Data from Abbe Refractometer
WAVELENGTH IN nm | MEASURED INDEX FOR SAMPLE A | MEASURED INDEX FOR SAMPLE B | AVERAGE OF A AND B |
---|
700 | 1.5957 | 1.5959 | 1.5958 |
656 | 1.5965 | 1.5966 | 1.5966 |
600 | 1.5975 | 1.5980 | 1.5978 |
580 | 1.5980 | 1.5983 | 1.5982 |
525 | 1.6002 | 1.6004 | 1.6003 |
500 | 1.6012 | 1.6015 | 1.6014 |
488 | 1.6025 | 1.6027 | 1.6026 |
Table II
Results of Two-Term Sellmeier Equation Fit for Sample A, Where A1 = 0.1019718, A2 = 1.495003, U1 = −1.655954, U2 = 9.094715E-03
WAVELENGTH IN nm | MEASURED INDEX | ESTIMATED INDEX | DIFFERENCE |
---|
700 | 1.5957 | 1.595795 | −9.45329E-5 |
656 | 1.5965 | 1.596344 | 1.559258E-4 |
600 | 1.5975 | 1.597486 | 1.430511E-5 |
580 | 1.5980 | 1.598050 | −4.947186E-5 |
525 | 1.6002 | 1.600177 | 2.264977E-5 |
500 | 1.6012 | 1.601505 | −3.051758E-4 |
488 | 1.6025 | 1.602244 | 2.560616E-4 |
Sum of squared differences = 1.951142E-7 |
Table III
Results of Herzberger Equation Fit for Sample A, Where A = 1.105661, B = 9.162933E-02, C = −6.322692E-03, D = 1.044429, E = −0.7937332, U = 0.028
WAVELENGTH IN nm | MEASURED INDEX | ESTIMATED INDEX | DIFFERENCE |
---|
700 | 1.5957 | 1.595565 | 1.349449E-4 |
656 | 1.5965 | 1.596809 | −3.091097E-4 |
600 | 1.5975 | 1.597417 | 8.308887E-5 |
580 | 1.5980 | 1.597818 | 1.816750E-4 |
525 | 1.6002 | 1.600152 | 4.827976E-5 |
500 | 1.6012 | 1.601613 | −4.130602E-4 |
488 | 1.6025 | 1.602226 | 2.737045E-4 |
Sum of squared differences = 4.015323E-7 |
Table IV
Results of Two-Term Sellmeier Equation Fit for Sample B, Where A1 = 1.52323, A2 = 8.666754E-03, U1 = 3.704935E-03, U2 = 0.138046
WAVELENGTH IN nm | MEASURED INDEX | ESTIMATED INDEX | DIFFERENCE |
---|
700 | 1.5959 | 1.595901 | −1.311302E-6 |
656 | 1.5966 | 1.596627 | −2.694130E-5 |
600 | 1.5980 | 1.597851 | 1.494884E-4 |
580 | 1.5983 | 1.598403 | −1.028776E-4 |
525 | 1.6004 | 1.600421 | −2.086163E-5 |
500 | 1.6015 | 1.601717 | −2.168417E-4 |
488 | 1.6027 | 1.602473 | 2.264977E-4 |
Sum of squared differences = 1.324149E-7 |
Table V
Results of Herzberger Equation Fit for Sample B, Where A = 2.076329, B = −9.456398E-02, C = 7.512031E-03, D = −9.824461, E = 7.101964, U = 0.028
WAVELENGTH IN nm | MEASURED INDEX | ESTIMATED INDEX | DIFFERENCE |
---|
700 | 1.5959 | 1.595958 | −5.841255E-5 |
656 | 1.5966 | 1.596437 | 1.635551E-4 |
600 | 1.5980 | 1.598011 | −1.049042E-5 |
580 | 1.5983 | 1.598557 | −2.573729E-4 |
525 | 1.6004 | 1.600120 | 2.799034E-4 |
500 | 1.6015 | 1.601564 | −6.377697E-5 |
488 | 1.6027 | 1.602753 | −5.328655E-5 |
Sum of squared differences = 1.81766E-7 |
Table VI
Final Results
| nC λ = 656 nm | nD λ = 588 nm | nF λ = 486 nm |
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Sample A | Sellmeier | 1.5963 | 1.5978 | 1.6024 |
Herzberger | 1.5968 | 1.5976 | 1.6023 |
Sample B | Sellmeier | 1.5966 | 1.5982 | 1.6026 |
Herzberger | 1.5964 | 1.5984 | 1.6030 |
AVERAGE | 1.5965 | 1.5980 | 1.6026 |