LightningInAJar said:
Is there a direct heat energy relationship between a heated object and infrared radiation? 1 to 1 relationship? Or can IR go up without there being much heat?
Assuming you are asking about the IR emitted by a hot object, there is absolutely a relationship. Most objects closely obey
Planck's Law, which let's us calculate how much power is emitted by an object in various electromagnetic frequencies, including IR. In general, the hotter something is, the more radiation it emits and the higher the average frequency of this radiation is. So an ice cube emits less radiation than my big fat cat who's occupying my lap currently, and the radiation the ice cube emits is of a lower frequency on average.
This is why heating up a piece of metal turns it first red, then orange, then white and explains why it becomes increasingly brighter as it heats up. At first the temperature is too low to emit hardly any visible light, so the metal is just its normal color, though it might me scalding hot and you can feel the IR radiation it emits if you hold a hand close to it. Once the metal heats up a bit more it becomes a dull red and you can see it glowing, even in the dark. Hotter still and it becomes orange, then yellow, then white. As it gets yellow and then near white the amount of radiation it emits in the visible frequencies is so much that it could light up a room. As well it should, as this is exactly how an incandescent light bulb functions.
Hotter still, such as when arc welding, and you start to get appreciable amounts of UV radiation. This is why they say never watch someone welding or you'll hurt your eyes.
Note that as you increase the temperature the amount of radiation produced at ALL frequencies increases. So metal that's white hot is emitting more IR radiation than when it was red hot.
Also, keep in mind that the color vs temperature scales you see online usually work pretty well for your eye, but not always for cameras, as the following video demonstrates:
More info:
https://en.wikipedia.org/wiki/Thermal_radiation
https://en.wikipedia.org/wiki/Black-body_radiation