Raikiri is more concentrated chakra or another way of explaining is Raikiri the chakra is more controlled which why it looks different to Chidori if i remember correctly the colour is a little different too.
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Chidori quite white compared to Raikiri
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You can already see in this photo Kakashi is controlling his Chakra more than he would in his Chidori and its more blue than Chidori too.
+ Raikiri = S-Rank Jutsu
Chidori = A-Rank Jutsu
So dont say they are the same Jutsu just different names because they are not Kakashi has perfected it thats why its S-Rank.
Anyone disagree feel free to say?
+rep?