De Broglie Wavelength, Wave-Particle Duality

We can calculate typical magnitudes of these wavelengths of particles encountered in nuclear chemistry (Table 1.5). Given typical nuclear dimensions of 10-13 cm, the data of Table 1.5 indicate the energies at which such particles might have a 

In a similar manner, it is quite natural to associate a wave description to photons (Table 1.4). Here we recall that 

Sample Problem 1.5 de Broglie Wavelength Consider the case of a beam of 1 eV neutrons incident on a crystal. First-order Bragg reflections are observed at 11.8°. What is the spacing between crystal planes  

Solution Low-energy neutrons are diffracted like X-rays. The Bragg condition is that nK = 2d sin where the index n = 1 for first-order diffraction. 

---