Sj. Payne et al., A NEUTRON-DIFFRACTION STUDY OF THE ORDER-DISORDER PHASE-TRANSITION INSODIUM-NITRATE, Journal of physics. Condensed matter, 9(11), 1997, pp. 2423-2432
The temperature dependence of the critical scattering above T-c and th
e order parameter below T-c have been measured for sodium nitrate (NaN
O3) using time-of Eight neutron diffraction. Sodium nitrate undergoes
a structural phase transition from a low-temperature rhombohedral R (3
) over bar c structure to a high-temperature R (3) over bar m structur
e which is characterized by the disappearance of superlattice reflecti
ons at positions corresponding to the Z point of the high-temperature
Brillouin zone. In the critical region below T-c = 548.74 +/- 0.47 K t
he order parameter displays a crossover behaviour. For temperatures T
< T-L approximate to 543 K the temperature dependence of the order par
ameter can be described by a power law in the effective reduced temper
ature t = \T-c* - T\/T-c* with beta = 0.22 +/- 0.02 and an effective
critical temperature T-c = 551.02 +/- 0.54 K. However, for temperatur
es T-L < T < T-c the temperature dependence of the order parameter fol
lows a power law in the reduced temperature t = \T-c - T\/T-c with bet
a = 0.41 +/- 0.02. At temperatures T > T-c the critical scattering tak
es the usual form of a Lorentzian lineshape, and the correlation lengt
h and susceptibility can be described by power-law equations in the re
duced temperature with the exponents nu = 0.65+/-0.05 and gamma = 1.27
+/-0.04 respectively. There is a second Lorentzian lineshape in the di
ffraction pattern above T-c which is much wider than the Lorentzian de
scribing the critical scattering and is essentially independent of tem
perature.