"You are a brilliant scientist inventing a new formula to calculate resonant frequency bands for all known elements in the range where they are resonant plus or minus a percentage. Invent a new formula that can plot the resonance over the frequency range for any known element. As you invent this make five attempts to discredit the formula. If it passes write a detailed latex paper explaining this new theory, how it works, include 10 example elements that show this theory is very accurate. Include references."

"Now take the above theory and make a embedded html with javascript that will allow the user to input any element and the software will plot the resonant frequency absorption over a range that is in proximity to its resonant point. If the user does not input an element it will automatically pick a random element."