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We calculated the magnetic dipole hyperfine interaction constants and theelectric field gradients of $2p^53p~^2[3/2]_2$ and $2p^53s~^2[3/2]^o_2$ levelsof Ne I by using the multiconfiguration Dirac-Hartree-Fock method. Theelectronic factors contributing to the isotope shifts were also estimated forthe $\lambda = 614.5$ nm transition connecting these two states. Electroncorrelation and relativistic effects including the Breit interaction wereinvestigated in details. Combining with recent measurements, we extracted thenuclear quadrupole moment values for $^{20}$Ne and $^{23}$Ne with a smalleruncertainty than the current available data. Isotope shifts in the$2p^53p~^2[3/2]_2 - 2p^53s~^2[3/2]^o_2$ transition based on the presentcalculated field- and mass-shift parameters are in good agreement with theexperimental values. However, the field shifts in this transition are two orthree orders of magnitude smaller than the mass shifts, making rather difficultto deduce changes in nuclear charge mean square radii. According to ourtheoretical predictions, we suggest to use instead transitions connectinglevels arising from the $2p^53s$ configuration to the ground state, for whichthe normal mass shift and specific mass shift contributions counteract eachother, producing relatively small mass shifts that are only one order ofmagnitude larger than relatively large field shifts, especially for the$2p^53s~^2[1/2]^o_1 - 2p^6~^1S_0$ transition.

Atomic Parameters for the $2p^53p~^2[3/2]_2 - 2p^53s~^2[3/2]^o_2$ Transition of Ne I relevant in nuclear physics