Effect of particle size and lattice strain on Debye-Waller factors of Fe sub(3)C nanoparticles

• Published in: Bulletin of materials science Vol. 37; no. 4; pp. 773 - 778
• Main Authors: Purushotham, E, Krishna, NGopi
• Format: Journal Article
• Language: English
• Published: 01-06-2014
• Subjects: Ball mills; Debye temperature; Debye-Waller factor; Energy of formation; Formations; Lattice strain; Nanoparticles; X-rays
• ISSN: 0250-4707; 0973-7669
• DOI: 10.1007/s12034-014-0005-6

Fe sub(3)C nanoparticle powders have been prepared by a high energized ball mill. The resulting nanoparticle powders were characterized by X-ray diffraction (XRD) and scanning electron microscopy (SEM) measurements. The high-energy ball milling of Fe sub(3)C after 10 h resulted in crystalline size of about 5 nm. The Debye temperature, mean-square amplitudes of vibration, Debye-Waller factor, lattice parameters, particle size, lattice strain and vacancy formation of energies of Fe sub(3)C nanoparticles prepared by ball mill have been obtained from X-ray integrated intensities. The integrated intensities have been measured with a Philips CWU 3710 X-ray powder diffractometer fitted with a scintillation counter using filtered CuK alpha radiation at room temperature and have been corrected for thermal diffuse scattering. The X-ray Debye temperatures obtained in the present investigation has been used to estimate the vacancy formation energies for Fe sub(3)C nanoparticles.