I was trying to dumb it down into a language that people could understand. I guess you are talking about electromagnetic radiation? The electomagnetic radiation excites atoms giving them an increase in energy and heat. The amount of energy is associated with the frequency of the electromagnetic radiation. It would then have to come into contact with atoms inorder for that energy to be transferred into heat. Tempurature doesn't change from a particles frequency alone.
Energy can exist in many different forms, one of which is heat. Heat can exist as particles in motion, which is associated with temperature; or it can exist as radiation. An example of heat radiation is the infrared that lights up warm objects against a cool background in night vision goggles. Another is the radiation of the heat of the earth into deep space. The loss of that energy reduced the temperature of the mass, condensing it from gas (or plasma) to liquid, to its present state, in which the mantle is nearly completely solid. (As an exercise you could try to estimate how long it took the earth to cool from molten to solid phase, and then estimate how much energy was lost to radiation).
You can use this analysis to estimate the average velocity of a molecule of gas at a given temperature. If you assume that it's not losing any heat (perfectly insulated) you can estimate the average ("mean-free path") velocity of an individual molecule, by assuming that all of the energy at the given temperature, nRT/n = RT, converts to kinetic energy, 1/2mv[sup]2[/sup], where v is the avg. velocity and m is the mass of the molecule.
By the same token you can estimate how much heat is gained from, or lost to, radiation, over a given time by measuring the initial and final temperatures. In this case, E[sub]radiated[/sub] = n R (T[sub]final[/sub] - T[sub]initial[/sub]).
And yes, the radiation is electromagnetic, often observed as infrared. A microwave oven exploits heat radiation at a much lower frequency, around 2-3 GHz, which is a resonance band for water molecules, and therefore an efficient way to heat food.
The amount of heat energy radiated is in part related to frequency, as you note, but also related to amplitude. Thus, I can either generate 100 J f heat energy with an heat lamp, in the infrared band, or I can do so with in the microwave band (or any other frequency). Note, I can power both devices from a 60 Hz outlet; thus the energy at 60 Hz has an equivalent amplitude for each device. Similarly, I can double the energy by doubling the amplitude (averaged over 60 Hz) by using two heat lamps.
Temperature doesn't change from a particle's frequency alone? At a quantum level, but not at the practical scale. In a gas, we would be more interested in the kinetic energy of the molecule, rather than the internal frequencies of its particles.