The combination of 15 RF₃ (R – rare earth elements – REEs without ScF₃ and YF₃) into one system “from LaF₃ to LuF₃” we call a full quasi-system (QS). It consists of 14 serially linked particular systems (PartSs): LaF₃–CeF₃; CeF₃-PrF₃; PrF₃-NdF₃; NdF₃-PmF₃; PmF₃-SmF₃; SmF₃-EuF₃; EuF₃-GdF₃; GdF₃-TbF₃; TbF₃-DyF₃; DyF₃-HoF₃; HoF₃-ErF₃; ErF₃–TmF₃; TmF₃-YbF₃; YbF₃-LuF₃. The atomic numbers (Z) of cations from 57 (La) to 71 (Lu) and the temperature (T) are axies of QS. The conditions of including RF₃ in PartSs is the neighborhood of R (Ln - lanthanides) positions in Periodic Table of Chemical Elements and |ΔZ| ​= ​1. This securities of maximum chemical proximity (СhProx) of RF₃'s components. The QS obeys the phase rule, principles of continuity and conformity. Full QS contains all signs of chemical RF₃'s interactions identified in 34 studied LnF₃-Ln’F₃ systems. These signs are dependent of ΔZ: perfect and limited isomorphism and two varieties (peritectic and eutectic) of structural true morphotropic transformations (MTs) of phases. Modifications of LnF₃ forms the solid solutions (ss) Ln_1-xLn'_xF₃ with average Z_av=(1-x)^NLn ​+ ​x^(N+1)Ln’ (N from 57 to 71). These ss reveal the lanthanide contraction (LC) in the regions |ΔZ_av|<1. Full QS is an individual sub-level of chemical classification of LnF₃-Ln’F₃ systems. It is a tool for studies the chemical interactions LnF₃, analyzing fine consequences of LC, creating a special system of Ln³⁺ ionic radii for LnF₃, studies of density anomalies (negative thermal expansion), prediction of phase diagrams unexplored systems RF₃-R’F₃ and other problems of rare earth trifluorides chemical family.

将 15 个R F ₃ ( R –稀土元素–不含 ScF ₃和 YF _3的REE ) 组合成一个“从 LaF ₃到 LuF ₃ ”的系统，我们称之为全准系统( QS )。它由 14 个串联的特定系统( PartS ) 组成：LaF ₃ –CeF ₃；CeF ₃ -PrF ₃；PrF ₃ -NdF ₃；NdF ₃ -PmF ₃；PmF ₃ -SmF₃；SmF ₃ -EuF ₃；EuF ₃ -GdF ₃；GdF ₃ -TbF ₃；TbF ₃ -DyF ₃；DyF ₃ -HoF ₃；HoF ₃ -ErF ₃；ErF ₃ –TmF ₃；TmF ₃ -YbF ₃；YbF ₃ -LuF ₃。从 57 (La) 到 71 (Lu) 的阳离子的原子序数( Z ) 和温度 ( T ) 是 QS 的轴。包含RF 3的_条件在 PartSs 是化学元素周期表中R ( Ln - 镧系元素) 位置的邻域和 |ΔZ| ​= ​1。R F ₃组件的这种最大化学接近度( СhProx ) 的证券。QS 遵循相位规则、连续性和一致性原则。完整的 QS 包含在 34 个研究的Ln F ₃ - Ln' F ₃系统中确定的化学R F ₃相互作用的所有迹象。这些符号依赖于 ΔZ：完美和有限同构以及两个各种（包晶和共晶）结构真正的变态转变（MTs）相。Ln F _3的变型形成固溶体( ss ) Ln _1-x Ln ' _x F ₃平均Z av =(1- x ) ^N Ln  ​+ ​x ^(N+1) Ln ' (N 从 57 到 71 ）。这些ss揭示了镧系元素的收缩（LC) 在区域 |ΔZ _av |<1。Full QS 是Ln F 3 _- Ln ' F ₃系统化学分类的单独子级别。它是研究化学相互作用Ln F ₃、分析 LC 的精细结果、为Ln F _{3创建一个特殊的}Ln ³⁺离子半径系统、研究密度异常（负热膨胀）、预测相图未探索系统的工具射频₃ -射频₃ _ _三氟化稀土化学家族的其他问题。