in this case the energy in question was the first of the second energy region <img width="717" height="495" alt="Image" src="https://github.com/user-attachments/assets/7eb91423-3b50-488c-832f-645524eb9ef3" /> <img width="1080" height="998" alt="Image" src="https://github.com/user-attachments/assets/a0f38f56-08a1-4a11-99fb-18a792f2e81a" />