Formal definitions of convergence, connectedness and continuity were established to characterize and describe the crystalline solid and its properties as a unified notion in the topological space. In this unified notion, physical and material properties are modeled by means of an intrinsic and invariable form function: the Relative Variational Model. The crystalline solid is assumed an empty space that has been filled with atoms and phonons, i.e., the crystal is built with packages of matter and energy in a regular and orderly repetitive pattern along three orthogonal dimensions of the space. The spatial occupation of the atom in the crystalline structure is determined by its mean vibrational volume, which also defines the lattice parameter or interatomic distance. However, as packages of vibrational energy, phonons can only exist as vibrations of atoms. Any variation of internal energy is in fact the discretized variations of phonon's population. These variations occur in the quantized modes of vibration, and therefore the balance between the frequency and amplitude of vibrations also is a dynamic variable. In this paper, the Relative Variational Model was applied to deconvolutions of frequency spectra of the inelastic neutron scatterings. Some dynamic aspects of atom vibration were presented and evaluated in support to the model's fundamentals.4 31393149ANS Reactor Physics Division,ANS Mathematics and Computations Division,U. S. Department of Energy - Office of Nuclear Energy,Oak Ridge National Laboratory (ORNL),TerraPowerRao, M.N., Inelastic neutron scattering and lattice dynamics studies in complex solids (2004) Pramana - J. Phys., 63 (1), pp. 73-79. , Indian Academy of SciencesDias, M.S., Vasconcelos, V., Mattos, J.R.L., Jordão, E., THE RELATIVE VARIATIONAL MODEL - A topological view of matter and its properties: Specific heat and enthalpy Advances in Reactor Physics - Linking Research, Industry, and Education (PHYSOR 2012), Knoxville, Tennessee, USA, April 15-20, (2012), , Submitted toDias, M.S., Vasconcelos, V., Mattos, J.R.L., Jordão, E., THE RELATIVE VARIATIONAL MODEL - A topological view of matter and its properties: Thermal expansion Advances in Reactor Physics - Linking Research, Industry, and Education (PHYSOR 2012), Knoxville, Tennessee, USA, April 15-20, (2012), , Submitted toDias, M.S., Vasconcelos, V., Mattos, J.R.L., Jordão, E., THE RELATIVE VARIATIONAL MODEL - A topological view of matter and its properties: UO2±x density Advances in Reactor Physics - Linking Research, Industry, and Education (PHYSOR 2012), Knoxville, Tennessee, USA, April 15-20, (2012), , Submitted toLoong, C.-K., Phonon densities of states and related thermodynamic properties of high temperature ceramics (1999) J. Eur. Ceramic Soc., 19, pp. 2241-2247Kozlov, Zh.A., Padureanu, I., Rapeanu, S., Semenov, V.A., Distribution functions of the vibrational frequencies of atoms in ThO2and UO2 (1993) Phys, Solid State, 35 (7), pp. 991-994(2002) TABLE CURVE 3D - Version 4.0 for Windows, , SYSTAT Software Inc. Richmond, CA, USAWang, C.Z., Ho, K.M., Structure, Dynamics, and Electronic Properties of Diamondlike Amorphous Carbon (1993) Phys. Rev. Letters, 71 (8), pp. 1184-1187