Can’t reproduce oscillations using a simple inductor capacitor circuit?
A couple of points: that's not an Arduino board, it's a breadboard (although it may have come with your Arduino which is the PCB with the microcontroller on it).

You missed some details in your simulation.



Figure 1. Screengrab from the OP's simulation.

The initial oscillation is caused by the simulator starting up. In real life it will be caused by connecting the battery.


Note that the oscillation is decaying in very few cycles. On the second cycle it's already below half the initial amplitude.
Note the time. This is just 60 ms into your simulation.


The result is that the oscillation has decayed before you even have time to read it.

You'll need to add some active electronics to make it a self-sustaining oscillator.