Particles wavelength

A further approximation adopted in theoretical computations is to omit all quantum-mechanical wave effects, which certainly is well justified for the large crossing radii and the small-particle wavelength of around 0.2 A. 

Electron beam (particles, wavelength comparable to slit spacing) ... 

Describe the wave-particle duality of matter and energy and the theories and experiments that led to it (particle wavelength, electron diffraction, photon momentum, uncertainty principle) ( 7.3) (SP 7.3) (EPs 7.27-7.34)... 

While the wavelength of a slow neutron is about 0.1 nm, that of a fast neutron is less than 1/1000 of that. Since the reaction probability increases with increasing particle wavelength, a slow-moving particle has a higher probability of reaction than a faster one of the same... 

Characteristics of a wave associated with a moving particle. Wavelength is designated by the symbol A. 

For free particles, the mean square radius of gyration is essentially the thennal wavelength to within a numerical factor, and for a ID hamionic oscillator in the P ca limit. 

The first tenn is what one would expect to obtain classically for a particle of momentum hk, and it is much bigger than the second tenn provided k a 1. Since the de Broglie wavelength X is In/kQ, this condition is equivalent to the statement that the size of the wavepacket be much larger than tire de Broglie wavelength. 

For molecules having dimensions comparable with the wavelength, phase differences will occur between waves scattered from different regions of the molecule. These phase differences result in an angular dependence of the scattered intensity. The reduction may be expressed in temis of a particle interference factor P(2Q) such that... 

I he wavelength of this motion is h/p and the pcirameter k is equal to 2irplh. Thus k has units of 1 /length (i.e. reciprocal length). The energy for a free particle varies in a quadratic fashion u ith A and in principle any value of the energy is possible. 

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