1. Calculation dependence of shift and size of the sample for X-ray diffraction and SANS Supervisor Dr A. I. Kuklin Rafał Idczak University of Wrocław JINR Summer Student Practicies 2010, Dubna

2. The goal of the project at JINR Dubna summer practice 1 – recalculation of angles in XPD method 2 – determination of nanodiamonds lattice parameters 3 – determination of nanodiamonds size of domains 4 – estimation of influence of sample size on resolution in SANS 5 – comparison between the SANS spectrometers with and without TOF method

3. Recalculation angles in XPD

4. Recalculation for Al 2 O 3

5. Number of peak α + β2α 134.43335.146 237.02037.771 342.51343.347

6. Recalculation for nanodiamonds Number of peakα + β2α 143.01743.897 274.20875.909 390.05992.331

7. Nanodiamonds size of domains Scherrer equation K – shape factor (K = 1) F – FWHM θ – Bragg angle (2θ = 2α) λ – wavelength (λ = 1.5405 Å) τ – mean size of domains Number of peak FWHMθτ [Å] 11.982821.72947.919 22.338137.52947.608 32.253545.59855.978

8. Estimation of influence of sample size on resolution in SANS for ,   0 d = 5 – 20 mm L = 2 – 12 m = 0.7 – 10 Å

9. Q resolution for λ = 0.7 Å

10. Q resolution for λ = 5 Å

11. Q resolution for λ = 10 Å

12. YuMO - Frank Laboratory of Neutron Physics, Joint Institute of Nuclear Physics, Dubna, Russia. 1, 2, 3 – pulse reactor parts 4, 6 – collimators 5 – vacuum tube 7 – thermostate 8 – table for sample 10, 11 – Vn standards 12 - 14 – detectors

13. D11 – Institute Laue-Langevin, Grenoble, France Main differences between YuMO and D11 1 – D11 has got 1 PSD detector, YuMO has got 2 detectors 2 – YuMO has got Vanadium standard before detectors 3 – YuMO hasn’t got neutron guide (vacuum tube)

14. Comparison of the main feature of SANS spectrometers with and without TOF YuMOD11 With TOF ↓ Wavelength resolution (1%) Without TOF ↓ Wavelength r esolution (5-10%) Pulsed reactor source ↓ Power of the flux 2 MW Continuous reactor source ↓ Power of the flux 50 MW Two detectors system ↓ Better dynamic Q rate (Q max /Q min ) Power of the flux + neutron guide + collimation ↓ Better Q-range and background Vanadium standards before detectors ↓ Calibration during measurements Additional calibration measurements needed

15. Conclusions 1 – It was shown that continuous and pulsed sources have both advantages and disadvantages in characteristics of main features 2 – We obtained the mean size of domains for nanodiamonds sample is 50.5(2.7) Å. 3 – We calculated that resolution dependence of size d of the measured sample in SANS experiment is also dependent of L and. d ↑ Q res ↓ L ↑ Q res ↑ λ ↑ Q res ↑

16. Special thanks to: Dr A. I. Kuklin (FLNP, JINR, Dubna) Dr S. Z. Pakuliak (BLTP JINR, Dubna) Dr W. Chmielowski (JINR, Dubna) Dr hab. R. Zawodny (UAM, Poznań)

17. Thank you for attention