6533b839fe1ef96bd12a641a
RESEARCH PRODUCT
The average over a sphere
Kai Malte HasselbachHartmut Spieringsubject
PhysicsUnit sphereNumerical approximationSpectrum (functional analysis)Mössbauer spectroscopySpherical harmonicsPoint (geometry)General MedicineAtomic physicsHyperfine structureSymmetry (physics)description
Abstract The N points ri and the N segments ΔΩi of the unit sphere used in the numerical approximation of the average over the sphere are optimized to approximate the average of the set of spherical harmonics {;Yl,m;l = 0, 1, 2, …, L}; up to L = 18. The symmetry of f( r ) can be taken into acount by using only a distinct subquantity of the N point {; r i , ΔΩ i }; . Sets for N = 48n (n = 1, 2, …, 6) are tabulated. The advantage of the method is shown by the calculation of a powder Mossbauer spectrum including electric and magnetic hyperfine interactions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1980-10-01 | Nuclear Instruments and Methods |