Neutron polarisation correction to triple-axis data with analytical derivations

Alternating triple systems with simple Lie algebras of derivations

We prove a formula for the multiplicity of the irreducible representation V (n) of sl(2, C) as a direct summand of its own exterior cube ΛV (n). From this we determine that V (n) occurs exactly once as a summand of ΛV (n) if and only if n = 3, 5, 6, 7, 8, 10. These representations admit a unique sl(2)-invariant alternating ternary structure obtained from the projection ΛV (n) → V (n). We calcul...

Triple Derivations on Von Neumann Algebras

It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its pr...

Chapter 1 MAGNETIC NEUTRON SCATTERING . And Recent Developments in the Triple Axis Spectroscopy

Adapting a triple-axis spectrometer for small angle neutron scattering measurements.

Small angle neutron scattering (SANS) instruments typically cover a q (scattering vector) range from 0.001 to 0.6 A(-1). This range in q is achieved through a combination of cold neutrons (lambda>4 A) and a highly collimated beam. However, as a direct result of the unavailability of a cold source at the Canadian Neutron Beam Centre (CNBC), we have resorted to adapting a triple-axis spectrometer...

Real-Time Data Acquisition and Control System for A Neutron Polarisation Analysis Spectrometer (LONGPOL)

One of the key features of LONGPOL, the neutron polarisation analysis instrument running in ANSTO, Australia, is the development of a real-time data acquisition and control system. The system provides separation of neutron spin-flip and nonspin-flip events and provides energy analysis through the timeof-flight method. This system is composed of five DSP boards, one is the master board, and the ...