Alpha (α) emission :
When an alpha particle is emitted, the atomic number Z of the parent atom decreases by 2 units.
ZXA→Z−2XA−4+2He4
Therefore, the new element has properties similar to those of an element two places to its left in the periodic table.
Beta (β) emission :
When a beta particle is emitted, the atomic number Z increases by one unit.
ZXA→Z+1XA+−1e0
As a result, the new element has properties similar to those of an element one place to its right in the periodic table.
Gamma (γ) emission :
The γ-ray takes away no mass and no electric charge from the nucleus i.e., no neutrons or protons are lost, hence the nucleus does not decay into a different one.
ZXA→ZXA+0γ0
The atomic number Z and mass number A, both remain constant. So, the daughter element shows the same properties as the parent element.