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- https://chem.libretexts.org/Bookshelves/Analytical_Chemistry/Supplemental_Modules_(Analytical_Chemistry)/Instrumentation_and_Analysis/Atomic_Emission_Spectroscopy_(AES)/05_Spectrometers/01_Diffraction_GratingsFor an incidence angle α, measured from the normal to the plane of the grating, the extra distance or phase shift through which the wave front must propagate to reach the next echellette is d sin α. W...For an incidence angle α, measured from the normal to the plane of the grating, the extra distance or phase shift through which the wave front must propagate to reach the next echellette is d sin α. With reference to the leftmost echellete, the inbound wave LAGS in hitting the next rightmost echellete, while the scattered ray from the leftmost echellete LAGS the light scattered from the next right most echellete.
- https://chem.libretexts.org/Bookshelves/Analytical_Chemistry/Supplemental_Modules_(Analytical_Chemistry)/Instrumentation_and_Analysis/Atomic_Emission_Spectroscopy_(AES)/05_Spectrometers/02_Grating_EquationFor constructive interference to occur, we know that the phase shift in scattering from adjacent echellettes must be an integer number of wavelengths (so the crests of the scattered waves from the two...For constructive interference to occur, we know that the phase shift in scattering from adjacent echellettes must be an integer number of wavelengths (so the crests of the scattered waves from the two facets are in-phase). Since the sine of an angle is always of magnitude less than 1, the largest value of λ for which there is a solution for the grating equation is for n = 1, sin α = 1, sin β = 1, so λ = 2d.
- https://chem.libretexts.org/Ancillary_Materials/Worksheets/Worksheets%3A_Analytical_Chemistry_II/Echellette_Grating_(Griffith)Imagine two incoming beams of radiation that are parallel and have the same wavelength (monochromatic). [Note: this ignores all of the other wavelengths of light that are hitting the diffraction grati...Imagine two incoming beams of radiation that are parallel and have the same wavelength (monochromatic). [Note: this ignores all of the other wavelengths of light that are hitting the diffraction grating.] If the distance between blazes (d) is on the order of the wavelength of light hitting the grating, then we can assume that beams 1 and 2 reflect as “point sources” (see two-point source wave tank video).
- https://chem.libretexts.org/Ancillary_Materials/Worksheets/Worksheets%3A_Analytical_Chemistry_II/Echellette_Grating_(Hughey)Echellette Grating. A diffraction grating has 25,000 grooves uniformly spaced over 25 mm. It is illuminated at normal incidence by white light (380 – 700 nm). Find the angular range of the first-order...Echellette Grating. A diffraction grating has 25,000 grooves uniformly spaced over 25 mm. It is illuminated at normal incidence by white light (380 – 700 nm). Find the angular range of the first-order and second order spectrum produced by the grating. Sketch an Echellette grating and show how the visible radiation is dispersed according to your calculations in the table above. Be sure to label ALL aspects of your drawing (e.g., d, θ i , θ r (λ or color) and n).
