The pre-existence probability for the spontaneous ternary breakup of neutron deficient to neutron rich parent nuclei of Cf isotopes from ²⁴²Cf to ²⁵⁶Cf with different third fragments such as ⁴He, and N = Z and N ≠ Z clusters like ^12,14C, ^16,20O, ^20,24Ne, and ^48,50Ca is studied here. A simple analytical formula is used to calculate the pre-existence probability. The ternary breakup combinations are computed by the charge minimization procedure. For ⁴He as the third fragment, the inclusion of deformation shifts the most probable distribution of ²⁵²Cf parent system from ¹³²Sn to ¹⁴⁰Xe which is as per the experimental observations. An enhancement in the relative yield is observed when the distance between the main fission fragment is reduced. In the spherical calculations for A ₃ = ¹²C and ¹⁴C, the yield distribution is identical and the heavy group remains as ¹³²Sn but for the deformed calculations with A ₃ = ¹⁴C, the light group remains the same as ¹¹⁴Ru for neutron-rich parent nuclei. For O and Ne clusters, with the increase in neutron number of parent system, the asymmetric yield distribution changes to symmetric one. For heavier clusters, ⁴⁸Ca and ⁵⁰Ca, the favorable fragmentation is observed as Sn + Ni, which is in agreement with experimental predictions.

Cf同位素从²⁴² Cf到²⁵⁶ Cf的中子不足至富中子母核的自发三元分解的先验概率，具有不同的第三碎片（如⁴ He），并且N = Z和N ≠ Z团簇（如^12,14 C） ，^16,20 O，^20,24 NE，和^48,50的Ca在这里学习。一个简单的解析公式用于计算存在概率。通过电荷最小化过程来计算三元分解组合。对于⁴作为第三片段，根据实验观察，变形的包含将²⁵² Cf母体系统最可能的分布从¹³² Sn转移到¹⁴⁰ Xe。当主裂变碎片之间的距离减小时，可以观察到相对产率的提高。在A ₃ = ¹² C和¹⁴ C的球面计算中，屈服分布相同，重基团保持为¹³² Sn，但在A ₃ = ¹⁴ C的变形计算中，轻基团保持为¹¹⁴ Sn。汝为富中子的母核。对于O和Ne团簇，随着母体系统中子数的增加，不对称屈服分布变为对称的。对于较重的团簇（⁴⁸ Ca和⁵⁰ Ca），观察到的有利碎裂为Sn + Ni，这与实验预测相符。