![](https://static.wixstatic.com/media/03df88_9ba73e262b3547e9a2e47b9e1f02aea8~mv2.jpg/v1/fill/w_1200,h_833,al_c,q_85,enc_avif,quality_auto/03df88_9ba73e262b3547e9a2e47b9e1f02aea8~mv2.jpg)
WDS
(Wavelength Dispersive Spectroscopy)
Wavelength dispersive spectroscopy is what gives the electron microprobe its analytical power. In wavelength dispersive spectroscopy, the wave properties of x-rays are used to identify and quantify the concentrations of the elements present in a sample by making us of the Bragg equation:
nλ = 2dsinØ
where
n= the order of diffraction (1,2,3...)
λ = x-ray wavelength
d = interplaner d-spacing of diffracting crystal
Ø = angle of incidence of x-ray on diffracting crystal
X-rays leave the sample in all directions and at all angles, but only those X-rays leaving the sample at 40 degrees (the Take Off Angle) can enter the wavelength spectrometer.
Inside the spectrometer is a diffracting crystal with a constant and known interplaner d-spacing (d). For a particular angle of incidence (Ø) only the X-ray wavelength (λ) that satisfies the Bragg equation will be diffracted to the detector.
Because the angle at which the x-rays strike the defracting crystal determines which element's x-rays will be defracted to the detector, changing the angle of incidence changes the element detected.
![Illustration showing Rowland Circle, diffracting crustal and detector geometry, with 'close-up' of diffracting crystal illustrating the Bragg equation.](https://static.wixstatic.com/media/03df88_d6b5abd755b148bb986a6abdfb985689~mv2_d_3508_2480_s_4_2.jpg/v1/fill/w_600,h_425,al_c,q_80,usm_0.66_1.00_0.01,enc_avif,quality_auto/03df88_d6b5abd755b148bb986a6abdfb985689~mv2_d_3508_2480_s_4_2.jpg)