Pulsed Neutron Scattering |
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Page 52
... Equation ( 1.44 ) may be written in vectors as or - mo2u = Au ( A + mw2 ) u = 0 . ( 1.45 ) This is the ' dynamical equation ' for the phonons . Its eigenvalues give the phonon frequencies . Its eigenvectors describe the way each atom ...
... Equation ( 1.44 ) may be written in vectors as or - mo2u = Au ( A + mw2 ) u = 0 . ( 1.45 ) This is the ' dynamical equation ' for the phonons . Its eigenvalues give the phonon frequencies . Its eigenvectors describe the way each atom ...
Page 185
... equation ( 3.5 ) Δλ R = λ = At , to = h At , n1 / 2 mλLo ( 4.29 ) where n is the number of variables matched to the rotor time spread . We eliminate Lo as in equation ( 3.6 ) to give m2 2R2A , n1 ( λ ) = n ̧ ( λ ) 4πh2n , At , T ...
... equation ( 3.5 ) Δλ R = λ = At , to = h At , n1 / 2 mλLo ( 4.29 ) where n is the number of variables matched to the rotor time spread . We eliminate Lo as in equation ( 3.6 ) to give m2 2R2A , n1 ( λ ) = n ̧ ( λ ) 4πh2n , At , T ...
Page 244
... equation ( 6.6 ) , considering them as FWHH values , obtaining Δι t = AL L R = cot 0 A0 = √3 ' ( 6.19 ) The key term in equation ( 6.19 ) is usually the moderation time uncertainty Δε ( λ ) = m == 28m . We may then express the other ...
... equation ( 6.6 ) , considering them as FWHH values , obtaining Δι t = AL L R = cot 0 A0 = √3 ' ( 6.19 ) The key term in equation ( 6.19 ) is usually the moderation time uncertainty Δε ( λ ) = m == 28m . We may then express the other ...
Common terms and phrases
absorption accelerator atoms background beam tube beryllium Bragg reflection calculated cell collimation count-rate counter bank cross-section crystal monochromator curve defined density depends detector diffraction diffractometer direct geometry distribution dose E₁ effective efficiency elastic electron linac energy transfer epithermal equation fast neutrons figure of merit fission function given gives Harwell hydrogen incident beam incident energy incident flight path incident neutron intensity k₁ L₁ linac magnetic Maxwellian measured neutron beam neutron scattering neutron source nuclear nuclei phonon polarization proton pulse width pulsed neutron pulsed reactor pulsed source Q values Qmax radiation range ratio reciprocal lattice reciprocal space reflector resolution element resonance rotor sample scattered flight path scattering angle scattering length scattering vector Section shielding shown in figure shows single crystal slit solid angle spallation spectrometer spectrum spin target thermal thickness time-of-flight transmission typical vanadium velocity vibrational wave-vector wavelength y-rays Δι ΦΩ
References to this book
Polymers and Neutron Scattering Julia S. Higgins,Henri C. Benoît,Henri Benoît No preview available - 1996 |