Microstructural, Magnetic, and Optical Properties of Pr-Doped Perovskite Manganite La0.67Ca0.33MnO3 Nanoparticles Synthesized via Sol-Gel Process

Table 2 The calculated lattice parameters (a, b, c, α, β, and γ), unit cell volumes, and average crystallite sizes of the (La_1 − xPr_x)_0.67Ca_0.33MnO₃ nanoparticles post-annealed at 800 °C with different Pr-doped concentrations (x = 0.0–0.5) Lattice parameters within ± 0.0003(a, b, c) are calculated from the XRD data. Average crystallite sizes within ± 1 are calculated using the Scherrer’s equation

Sample number	Pr-doped concentration (_X)	Lattice parameters (Å)	Unit cell volume (Å³)	Average crystallite size (nm)
A′	0.0	a = 5.4624, b = 7.7114, c = 5.4539 α = β = γ = 90^o	229.73	33
B′	0.1	a = 5.4302, b = 7.6815, c = 5.4505 α = β = γ = 90^o	227.35	25
C′	0.2	a = 5.417, b = 7.6937, c = 5.4576 α = β = γ = 90^o	228.91	31
D′	0.3	a = 5.4288, b = 7.6744, c = 5.4525 α = β = γ = 90^o	227.17	21
E′	0.4	a = 5.4411, b = 7.6940, c = 5.4213 α = β = γ = 90^o	226.96	32
F′	0.5	a = 5.4255, b = 7.6789, c = 5.4390 α = β = γ = 90^o	226.60	27